Please help! If you could please also explain so I understand how it is done. Thank you :)

Please Help! If You Could Please Also Explain So I Understand How It Is Done. Thank You :)

Answers

Answer 1

Mr. Paquette has 2 pencils and 6 pens after simplification.

What is a Equation?

An equation is a mathematical statement that asserts that two expressions are equal. It is a representation of a relationship between two or more variables, which can be solved to find the values of those variables that satisfy the equation. An equation typically consists of two sides separated by an equal sign (=), with expressions containing variables and constants on each side.

What is simplification?

Simplification refers to the process of making something simpler or easier to understand. It involves breaking down complex or complicated information into smaller, more manageable parts, and eliminating unnecessary or redundant details.

Let's assume that Mr. Paquette has x pencils. Since he has a combined total of 8 pencils and pens, he must have (8 - x) pens.

We know that for each pencil he has, he has 3 pens. Therefore, the total number of pens he has is 3 times the number of pencils:

Total number of pens = 3x

We also know that the total number of pencils and pens is 8. Therefore, we can write an equation:

x + 3x = 8

Simplifying and solving for x, we get:

4x = 8

x = 2

So Mr. Paquette has 2 pencils and 6 pens (since he has 3 pens for each pencil).

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Related Questions

Find the angle of elevation that a 30-foot ladder, leaning against a wall, if the bottom
of the ladder is 9 feet from the base of the wall.

Answers

Answer:

Step-by-step explanation:

12.5 points


Question at position 4
Marcus has a circuit that uses a battery to light up a light bulb. He needs three wires to make his circuit. He changes the circuit to have a paper clip attached to wire 2 as shown in the picture below.






Marcus has a circuit that uses a battery to light up a light bulb. He needs three wires to make his circuit. He changes the circuit to have a paper clip attached to wire 2 as shown in the picture below.






A. The battery will die.


B. The light bulb will light up.


C. The light bulb will break.


D. The paper clip will turn black.

Answers

Answer:

B

Step-by-step explanation:

the metal is a conductor

How much is the allowed housing expense for the yr if u earn 53698. 00 a yr?

Answers

The allowed housing expense for the year is $38,582.01.

The minimum realized income per month is $1,774.53.

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”.

1 ) p = 7.65 + 11.5 + 9 = 28.15 %

$53,698.00 · ( 1 - 0.2815 ) =

= $53,698.00 · 0.7185 = $38,582.01

The allowed housing expense for the year is $38,582.01.

2 ) $1,275.00 : 0.7185 = $1,774.53

The minimum realized income per month is $1,774.53.

The complete question is-

1.) You (or your parents) earn $53,698.00/yr and you have deductions of FICA (7.65%), federal tax withholding (11.5%), and state tax withholding (9%). How much is the allowed housing expense for the year? (1 point)

$ /year

2.) You (or your parents) plan to pay $1,275.00/month for a mortgage. How much is the minimum realized income per month to the nearest penny

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what is −4y−4+(−3)? kkkxznkk;mxk;mxck;mk;mk;xc

Answers

Answer:

-4y-7

Step-by-step explanation:

- 4 y - 4 + ( - 3 )

We keep the -4y as it is since it can not be simplified. Then we try to open the parentheses. we do this by multiplying by 1.

- 4 y - 4 + 1 * ( - 3)

= - 4 y - 4 - 3

Then we combine the - 4 and -3.

= - 4 y - 7

Answer: I can confirm that it is '-4y-7'

Step-by-step explanation:

Please help will mark brainliest please!!!

Answers

Answer: Find the square root of 60i-11

Step-by-step explanation:

i is imaginary number

you can't find the square root of i because i is an imaginary number unless you put sqrt(i)

PLEASE HELP THANK YOU The cuboid-shaped container below is partly filled with water. What percentage of the container is filled with water? Give your answer to 1 d.p. please see attachment!​

Answers

Answer:

The volume of the container is 1872 cubic cm. The volume of the water is 672 cubic cm.

Therefore, 672/1872 = 0.36 or 36%

The following table shows the dirstribution of marks in mathematics
Marks (less than) No.of students
10 7
20 28
30 54
40 71
50 84
60 105
70 147
80 180

With the help of the graph paper, taking 2cm=10units
along one axis and 2cm=20units along the other axis, plot an ogive for the above distribution and use it to find the
a)Median
b)Number of students who scared distinction marks (75% and above)
c)Number of students who passed the examination if pass mark is 35%

Answers

The number of students who passed the examination is 152.

How to solve

Given: Marks distribution in Mathematics

To Find: Plot an ogive, the median, the number of students who scored distinction marks (75% and above), and the number of students who passed the examination if the pass marks are 35%.

Solution:

Marks Number of students

Less than 10 7

Less than 20 28

Less than 30 54

Less than 40 71

Less than 50 84

Less than 60 105

Less than 70 147

Less than 80 180

Ogive:

An ogive is a graph that represents the cumulative frequency distribution of a set of data. To plot an ogive, we plot the upper limits of each class on the x-axis and the corresponding cumulative frequency on the y-axis. We then join the points with a free-hand smooth curve to obtain the ogive.

Median:

To find the median from the graph, we draw a line from the value of 50 on the y-axis to the ogive curve and then drop it down to the x-axis. The point where the line intersects the x-axis gives us the median. In this case, the approximate median value from the graph is 52.

The number of students who scored distinction marks:

To find the number of students who scored distinction marks (75% and above), we first calculate 75% of the total number of students, which is 0.75 x 180 = 135.

From the ogive graph, we see that the number of students who scored less than 75% marks is 105.

Therefore, the number of students who scored 75% or more marks is 180 - 105 = 75.

The number of students who passed the examination:

To find the number of students who passed the examination if the pass marks are 35%, we first calculate 35% of the total number of students, which is 0.35 x 180 = 63.

From the ogive graph, we see that the number of students who scored less than 35% marks is 28.

Therefore, the number of students who passed the examination is 180 - 28 = 152.

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In the following​ term, give the numerical coefficient of the variable.
2b/3

The numerical coefficient of 2b/3 is ____.

Answers

The numerical coefficient of  [tex]\frac{2b}{3}[/tex]   is [tex]\frac{2}{3}[/tex] . So here we know how to find numeric coefficient.

What is Numerical coefficient?

A numerical coefficient is defined as a fixed (stable) number that is multiplied to a variable.

When an algebraic expression consists of several (various) parts, each part that is added called a term. The numerical part of a term is called as its numerical coefficient (or coefficient).

Variable, It is a symbol that represents (means) a mathematical object. A variable may represent(mean) a number, a matrix, a function, a vector, the argument of a set, a function, or an element of a set.

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In the diagram below, MN is parallel to JK. If ML = 12, LK = 28,
JK 14, and LN 16, find the length of JL. Figures are not necessarily
drawn to scale.
N
M
K

Answers

The length of JL can be found by subtracting the length of ML from the sum of LK and LN. Therefore, JL = 28 + 16 - 12 = 32.

To find the length of JL, first we can add the lengths of LK and LN. LK = 28 and LN = 16, so 28 + 16 = 44. Then, we can subtract the length of ML from the sum of LK and LN. ML = 12, so 44 - 12 = 32. Therefore, JL = 32.

This can be done by visualizing the diagram. The length of JL can be found by adding the lengths of LK and LN, which can be seen as the two sides of the right triangle that form the line MN. Then, the length of ML can be subtracted from the sum of LK and LN to get the length of JL. This is because the length of JL is equal to the length of LK plus the length of LN minus the length of ML.

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the prescriber orders medication f 150 mcg po q.12h. the pharmacy sends a bottle labeled: medication f 0.05 mg/ml. how many milliliters will the nurse administer with each dose?

Answers

The nurse will have to administer 3 milliliters with each dose.

When the prescriber orders medication f 150 mcg po q.12h, the pharmacy sends a bottle labeled:

medication f 0.05 mg/ml.

Milliliters will the nurse administer with each dose :

The conversion factor from mcg to mg is 1/1000.

Therefore, 150 mcg = 150/1000 = 0.15 mg.

The nurse has to administer 0.15 mg of medication f per dose.

The medication f available with the pharmacy is 0.05 mg/ml.

So, the nurse has to administer 0.15 mg in a single dose, which is equal to three times the quantity of medication f available in the bottle (0.05 mg/ml).

Therefore, the nurse has to administer 3 ml (0.05 mg/ml × 3 ml) of medication f with each dose.

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Jalen was repairing the post on his mailbox. He wanted the post to be
perpendicular to the ground, but his protractor showed that the post was at an
82 degree angle with the ground. He incorrectly concluded that he needed to
increase the angle by 12 degrees. What should Jalen have concluded?

A.The angle needs to
be increased by 10
degrees to get a 90
degree angle.
B.The angle needs to
be decreased by 28
degrees to get a 180
degree angle.
C.The angle needs to
be decreased by 98
degrees to get a 180
degree angle.
D.The angle needs to
be increased by 8
degrees to get to a
90 degree angle.

Answers

Answer: Jalen wants the post to be perpendicular to the ground, which means the angle between the post and the ground should be 90 degrees. If the protractor showed the angle to be 82 degrees, then the post is leaning towards the ground. To make the post perpendicular, the angle needs to be decreased. Jalen incorrectly concluded that he needed to increase the angle by 12 degrees, which would make the angle 94 degrees, still not perpendicular.

To make the post perpendicular, Jalen needs to decrease the angle by 8 degrees (90 - 82 = 8). Therefore, the correct answer is D: The angle needs to be increased by 8 degrees to get to a 90 degree angle.

Step-by-step explanation:

One face of a cube shaped Paco has an area of 7.6 square inches. What is the lateral surface area of the package

Answers

The lateral surface area of the cube shaped Paco is 45.6 square inches.

What is the lateral surface area of cube shape?

In a cube, all six faces are identical squares, so there is no distinction between the lateral surface area and the total surface area. The surface area of a cube can be found by adding up the areas of all six faces.

If s represents the length of each edge of the cube, then the surface area S can be calculated using the formula: S = 6s²

So the lateral surface area of a cube with edge length s is simply 6 times the area of one of its faces, which is just the area of a square with side length s.

The Lateral surface area of a cube = 6s²

or we can say that, Lateral surface area = 6×(area of one face of a cube)

Given that the area of one face of a cube shaped Paco is 7.6 square inches.

Lateral surface area = 6×(7.6) = 45.6 square inches

Therefore, the lateral surface area of the cube shaped Paco is 45.6 square inches.

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st Common Factor and Factoring Find the greatest common factor for the list of monomials. x^(3)y^(5)z^(3),y^(3)z^(3),xy^(3)z^(2) The GCF is

Answers

[tex]y^(3)z^(2)[/tex] is the greatest common factor for the given set of monomials.

The highest power of each variable that is shared by all of the given monomials must be identified in order to calculate the greatest common factor (GCF) for the given list of monomials. To put it another way, we must first determine the prime factors of each monomial before determining the factors that are shared by all the monomials.

Prime factorization for each monomial:

[tex]x^(3)y^(5)z^(3) = (x * x * x) * (y * y * y * y * y) * (z * z * z)y^(3)z^(3) = (y * y * y) * (z * z * z)xy^(3)z^(2) = (x) * (y * y * y) * (z * z)[/tex]

Factors are common to all monomials are [tex]y^(3), z^(2)[/tex]. The GCF is [tex]y^(3)z^(2)[/tex].

This is appropriate GCF by dividing each monomial by [tex]y^(3)z^(2)[/tex] and verify that result is whole number. For eg:

[tex]x^(3)y^(5)z^(3) / (y^(3)z^(2)) = x^(3)y^(2)zy^(3)z^(3) / (y^(3)z^(2)) = yzxy^(3)z^(2) / (y^(3)z^(2)) = x/y[/tex]

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A pilot flies in a straight path for 90​ minutes. She then makes a course correction, heading 20° to the right of her original course, and flies 100 minutes in the new direction. If she maintains a constant speed of 720​ miles per hour, how far is she from her starting position? Round your answer to the nearest mile.

Answers

"To solve this problem, we can use the Law of Cosines. Let's call the distance the pilot travels before the course correction d1 and the distance she travels after the course correction d2. We want to find the distance between her starting position and ending position, which we can call D.

First, let's find d1:

d1 = (720 mph) * (90 min / 60 min) = 1080 miles

Next, let's find d2:

d2 = (720 mph) * (100 min / 60 min) = 1200 miles

Now we can use the Law of Cosines:

D² = d1² + d2² - 2d1d2*cos(20°)

D² = 1080² + 1200² - 210801200*cos(20°)

D ≈ 1169 miles

Therefore, the pilot is approximately 1169 miles from her starting position." (ChatGPT, 2023)

find the probability of selecting a black checker from a bag of 6 black and 4 red checkers, replacing it and selecting another black

Answers

The probability of selecting a black checker from a bag of 6 black and 4 red checkers, replacing it, and selecting another black is 9/25.

To find the probability follow these-

Determine the probability of selecting a black checker on the first draw.

There are 6 black checkers and a total of 10 checkers (6 black + 4 red).

So, the probability of selecting a black checker on the first draw is 6/10,

which can be simplified to 3/5.

Since the black checker is replaced, there are still 6 black checkers and

a total of 10 checkers in the bag. Therefore, the probability of selecting a

black checker on the second draw is also 3/5.

To find the probability of both events occurring, multiply the probabilities together: (3/5) × (3/5) = 9/25.

So, the probability of selecting a black checker from a bag of 6 black and

4 red checkers, replacing it, and selecting another black is 9/25.

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Directions: Illustrate and solve the following problems:
1. Two consecutive sides of a parallelogram measure 4 m and 9 m,
respectively. What is the perimeter of the parallelogram?
2.One diagonal of a square measure (2x + 4) in. If the other diagonal
measures 16 in, what is x?
3.Given trapezoid QRST with QR//TS and UV as the median. If mQR = 12cm and mUV = 24 cm, what is mUV?
4.An isosceles trapezoid with a diagonal that measures 42 cm and one legmeasures 23 cm. What is the length of the other diagonal?
5.Given kite HOPE with diagonals mHP = 10 cm and m0E = 18 cm. What isthe area of the kite?

Answers

Answer:

1. The perimeter of a parallelogram is the sum of the lengths of all four sides. If two consecutive sides of a parallelogram measure 4 m and 9 m, respectively, then the other two sides must also measure 4 m and 9 m, respectively (since opposite sides of a parallelogram are equal in length). Therefore, the perimeter of the parallelogram is:

Perimeter = 4 m + 9 m + 4 m + 9 m = 26 m

So the perimeter of the parallelogram is 26 meters.

2. In a square, both diagonals are equal in length. If one diagonal measures (2x + 4) in and the other diagonal measures 16 in, then we can write:

2x + 4 = 16

Solving for x, we get:

x = 6

So the value of x is 6 inches.

3. In a trapezoid, the length of the median is equal to the average of the lengths of the two parallel sides. If QR is parallel to TS and mQR = 12 cm, then mTS must also be equal to 12 cm. Let x be the length of the base of the trapezoid.

Then, we have:

mUV = (mQR + mTS)/2

Substituting the given values, we get:

24 cm = (12 cm + 12 cm + x)/2

Simplifying, we get:

24 cm = (24 cm + x)/2

Multiplying both sides by 2, we get:

48 cm = 24 cm + x

Subtracting 24 cm from both sides, we get:

x = 24 cm

So the length of the base of the trapezoid is 24 cm, and the length of the median UV is 24 cm.

(If this isn't right, I'm sorry!)

4. In an isosceles trapezoid, the diagonals are equal in length. If one diagonal measures 42 cm and one leg measures 23 cm, then we can use the Pythagorean theorem to find the length of the other leg:

d^2 = l^2 + (b/2)^2

where d is the length of the diagonal, l is the length of each leg, and b is the length of the base. Substituting the given values, we get:

42^2 = 23^2 + (b/2)^2

Simplifying, we get:

b^2/4 = 42^2 - 23^2

b^2/4 = 1253

Multiplying both sides by 4, we get:

b^2 = 5012

Taking the square root of both sides, we get:

b = sqrt(5012) ≈ 70.77

So the length of the other diagonal is also 42 cm.

5. The area of a kite is equal to half the product of the lengths of its diagonals. If mHP = 10 cm and mOE = 18 cm, then we can write:

Area = (mHP x mOE)/2

Substituting the given values, we get:

Area = (10 cm x 18 cm)/2 = 90 cm^2

So the area of the kite is 90 square centimeters.

I hope this helps! I'm sorry if this was wrong. If you need more help, ask me! :]

Question 4, please help

4/10

Answers

Option (a) is correct Mr. Reynolds walks 2000 feet per minute for 8 minute. Here it is the condition of speed.

What is Speed?

Speed is define as the distance covered by a person in a given interval or time. It is generally denotes in Km/h or m/sec.

[tex]Speed\ (S)= Distance\ (d) * Time\ (t)[/tex]

Distance, It is an area cover by a person to complete his journey.

Distance is generally denoted by km, m etc,

Time, It is an interval in which generally person complete it task.

It is generally denoted by hour (h), Minute (min) or Second (Sec).

The correct is (a) Mr. Reynolds walks 2000 feet per minute for 8 minute. Here it is the condition of speed.

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The tree diagram shows the sample space of​ two-digit numbers that can be created using the digits 7​,1 ​,9 and 4. What is the probability of choosing a number from the sample space that contains 1 or 4 ​?

Answers

The prοbability οf chοοsing a number frοm the sample space that cοntains 1 οr 4  is 1/2.

What is prοbability ?

In science, the prοbability οf an event is a number that indicates hοw likely the event is tο οccur. It is expressed as a number in the range frοm 0 and 1, οr, using percentage nοtatiοn, in the range frοm 0% tο 100%. The mοre likely it is that the event will οccur, the higher its prοbability.

space οf twο-digit numbers that can be created using the digits 7,1 ,9 and 4. What is the prοbability οf chοοsing a number frοm the sample space that cοntains 1 οr 4 ?

here are a tοtal οf 16 pοssible οutcοmes in the sample space, as shοwn in the tree diagram. Out οf these 16 pοssible οutcοmes, 8 οf them cοntain the digit 1 οr 4 (i.e., 14, 17, 19, 41, 44, 71, 74, 91).

Therefοre, the prοbability οf chοοsing a number frοm the sample space that cοntains 1 οr 4 is:

P(1 οr 4) = 8/16 = 1/2

Sο the prοbability is 1/2.

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im struggling a lot with this question have good day

Answers

well, 2 and 1/2 is just 2 + 1/2 or just 2.5, so 2.5%.

[tex]~~~~~~ \stackrel{ \textit{\LARGE 8 years} }{\textit{Simple Interest Earned}} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$250\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ t=years\dotfill &8 \end{cases} \\\\\\ I = (250)(0.025)(8) \implies I = 50[/tex]

how about after 1 year?  well, we simply set t = 1, so (250)(0.025)(1) = 6.25.

would the interest for t = 2 be the same as for t = 1, if t = 2 is calculated, anyhow, the wording is a bit poor, let me reword it.

after the 1st year, she has an accumulated amount of 250 + 6.25 = 256.25.

now, if for the 2nd year we use the same 2.5% rate BUT we use the accumulated amount of $256.25 to get the interest, instead of the initial $250, will they be the same?

well, hell no, because (250)(0.025)(2) using the inital amount

is not the same as (256.25)(0.025)(2).

bear in mind that simple interest is calculated for each year using the initial amount or deposit, not the accumulated amount thus far.

Satoko has 30 tokens to spend at an arcade. The three lines represent the cost of playing Satoko's three favorite games for various numbers of times. Which game can Satoko play the most number of times with her tokens? Choose 1 answer: (Choice A) KOF (Choice B) DDR (Choice C) Claw

Answers

Satoko play the most number of times with her tokens is KOF. The correct answer is A.

A line graph is a type of chart that displays data as a series of points connected by a line. Line graphs show the relationship between two variables. The equation of each line can be obtained from the graph given regarding the game played by satoko.

Let us first derive the equation of first line Claw. This line goes from (0,0) to (5,20) so, the equation is y = 4x. The unit price is 4.

Next, the equation of DDR line. This line is from (0,0) to (5, 10). so, the equation is y = 3x. The unit price is 3.

The equation of line KOF goes from (0,0) to ( 5, 10). The equation of line is y = 2x. So, the unit price is 2.

Here, 4 greater than 3, and 3 is greatter than 2. so the correct answer is choice A, KOF.

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Answer: A

Step-by-step explanation:

i just know because i got it right.

A camera has a listed price of $891. 95 before tax. If the sales tax rate is 9. 5%, find the total cost of the camera with sales tax included

Answers

The total cost of the camera with sales tax included is $976.68

The listed  price of the camera = $891.95

The sales tax rate = 9.5%

The amount of tax = The listed  price of camera × (The sales tax rate / 100)

Substitute the values in the equation

The amount tax = 722.95 × (9.5 / 100)

Divide the terms first

= 891.95 × 0.095

Multiply the terms

= $84.735

The cost of the camera including tax = The listed  price of camera + The amount of tax

Substitute the values in the equation

= 891.95 +84.735

= $976.68

Hence, the total cost of the camera with sales tax included is $976.68

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A graph comparing the points (x) to the amount of money earned (y) in a minor football league is given by y=200x+500. What is the gradient?

Answers

The gradient of the line is 200, hence that is the answer.

What does the word "point" actually mean?

A point is a dot on a sheet of paper or in a plane. There are no lengths, widths, or heights in a point. It establishes a plane's position or location. To make a point, mark a dot on a piece of paper with an A or another capital letter.

The slope-intercept version of the equations y = 200x + 500 is y = mx + b, wherein m is the line's gradient and b is its y-intercept.

The value of x, which really is 200, acts as the gradient (or gradient) in this equation. As a result, the line's gradient is 200.

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Please help
Graph the inequality
-1

Answers

The correct answer is answer choice- A.

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

See the attached worksheet. The use of a filled or unfilled circle on a number indicates whether that actual number is included (solid circle) or not included (empty circle)  A solid bar between two points telss us these points are all included.  

 -3<x<3 does not have an equality ("=") for ether +3 nor -3.  The the line between those points would be solid (all points are allowed).  Either 3 would be an empty circle.  

Option A seems to have these features.

En un salón de clase de 60 alumnos, se tomaron 3 exámenes para aprobar un curso y se
observó que los que aprobaron un solo examen es el quíntuple de los que aprobaron los
3 exámenes y los que aprobaron sólo 2 exámenes es el triple de los que desaprobaron
los 3 exámenes. Si el número de los que desaprobaron los 3 exámenes es igual al número
de los que aprobaron los 3 exámenes, cuántos aprobaron el curso si para aprobarlo es
necesario que aprueben por lo menos 2 exámenes?

Answers

Translate: In a classroom of 60 students, 3 exams were taken to pass a course and

He noted that those who passed a single exam were five times those who passed the

3 exams and those who passed only 2 exams is triple those who failed

the 3 exams. If the number of those who failed the 3 exams is equal to the number

Of those who passed the 3 exams, how many passed the course if to pass it is

Do they need to pass at least 2 exams?

The number of students who passed the course is x + 3y, where x is smallest integer greater than or equal to[tex](180 - 3z)/53[/tex], and y = [tex](60 - 7x)/3[/tex] for equal things.

Let's use some variables to represent the number of students who passed each exam:

Let's call the number of students who passed all 3 exams "x".

Let's call the number of students who passed exactly 2 exams "3y" (since it's given that this number is triple the number who failed all 3 exams).

Let's call the number of students who passed exactly 1 exam "5x" (since it's given that this number is five times the number who passed all 3 exams).

Finally, let's call the number of students who failed all 3 exams "x".

We can use this information to set up a system of equations:

x + 3y + 5x + x = 60 (since there are 60 students in total)

x = x (since the number who failed all 3 exams is equal to itself)

Simplify:

7x + 3y = 60

Now we need to use the fact that passing at least 2 exams is required to pass the course. This means we need to find the number of students who passed at least 2 exams, which is the sum of the number who passed all 3 exams and the number who passed exactly 2 exams:

x + 3y

We know that this number needs to be greater than or equal to the number of students who pass the course. So we set up another equation:

x + 3y >= z (where z is the number of students who pass the course)

Now we can solve for x and y in terms of z. We'll start with y:

7x + 3y = 60

3y = 60 - 7x

y = (60 - 7x)/3

Next, we'll use the fact that the number who failed all 3 exams is equal to the number who passed all 3 exams:

x = x

Finally, we'll use this information to solve for x in terms of z:

x + 3y >= z

x + 3((60 - 7x)/3) >= z

x + (60 - 7x) >= 3z

53x >= 180 - 3z

x >= (180 - 3z)/53

Since x represents the number of students who passed all 3 exams, we want to round it up to the nearest integer (since we can't have a fractional number of students). So the final answer is:

The number of students who passed the course is x + 3y, where x is the smallest integer greater than or equal to (180 - 3z)/53, and y is given by y = (60 - 7x)/3.

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PLEASE HELP!!!!!!!!!!!!

Answers

Answer: 6

Step-by-step explanation:

When x=-3, y=6

You can count it, 1,2,3,4,5,6.

Hope you found that helpful!

Un niño está haciendo volar dos cometas al mismo tiempo; tiene 380 pies de cuerda a una de las cometas y 420 pies para la otra. Él estima que el ángulo entre las dos cuerdas es de 30°. Aproxime la distancia entre las cometas.

Answers

Podemos utilizar la ley de cosenos para aproximar la distancia entre las cometas. Primero, necesitamos encontrar la longitud de la tercera cuerda, que conecta los puntos donde se cruzan las dos cuerdas que sostienen las cometas. Podemos usar trigonometría para encontrar la altura de este triángulo.

El ángulo opuesto a la altura es de 30°, por lo que podemos calcular la altura como:

sin(30°) = altura / 200altura = 100 pies

Ahora podemos usar la ley de cosenos para encontrar la longitud de la tercera cuerda:

d^2 = 380^2 + 420^2 - 2(380)(420)cos(30°)d^2 = 144400d ≈ 380 pies

Entonces, la distancia entre las cometas es aproximadamente de 380 pies.

The table shows a function. Is the function linear or nonlinear?
X
3
6
9

y
19
12
2
linear
nonlinear

Answers

Hi here’s your answer to the problem

The table provided shows a function with an x-value of 3, 6, and 9, and a y-value of 19, 12, and 2 respectively. From this, it can be determined that the function is nonlinear, as the y-values do not increase or decrease at a consistent rate as the x-values increase.

Gary works at a bicycle store in Vancouver. For the start of spring, the manager of the store has ordered 50 mountain bikes and 10 racing bikes.
Which conjecture is Gary most likely to make from this evidence?

Answers

Answer and Step-by-step explanation:

Based on the evidence provided, Gary is most likely to make the conjecture that the store expects high demand for mountain bikes in the spring compared to racing bikes. Another conjecture that could be made is that mountain bikes will most likely sell better than racing bikes. This is because the manager has ordered 50 mountain bikes, which is five times more than the number of racing bikes ordered. This suggests that the store is anticipating greater demand for mountain bikes than for racing bikes in the spring season.

How many integers must be negative for the product of three integers to be negative? Explain. Find two different groups of three integers whose product is -12. Show your work. ​

Answers

Answer:

Step-by-step explanation:

To have the product of three integers be negative, we must have an odd number of negative integers. This is because when two negative integers are multiplied, the result is positive, and when an odd number of negative integers are multiplied, the result is negative. Therefore, we need at least one negative integer to produce a negative product, and then either one or three negative integers depending on whether the other two integers are positive or negative.

Here are two groups of three integers whose product is negative:

Group 1: {-1, 2, 3}

Product = (-1) x 2 x 3 = -6

In this group, there is one negative integer and two positive integers, which gives us an odd number of negative integers and a negative product.

Group 2: {-2, -3, 4}

Product = (-2) x (-3) x 4 = 24

In this group, there are two negative integers and one positive integer, which gives us an even number of negative integers and a positive product.

Note that there are infinitely many groups of three integers that can produce a negative product, as long as there is an odd number of negative integers in the group.

A HORIZONTAL line passes through point (-3, -1) Responses A x = 1x = 1 B x = 3x = 3 C y = -1y = -1 D y = 1

Answers

Equation for the line passing through the point (-3, -1) is:

c. y = -1

What is slope intercept?

Given the slope of the line and the intercept it forms with the y-axis, one of the mathematical forms used to derive the equation of a straight line is called the slope intercept form. Y = mx + b, where m is the slope of the straight line and b is the y-intercept, is the slope intercept form.

Now in the question here,

The line passes through the point (-3, -1).

So, the equation that satisfies the point is: y = -1.

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