Answer:
-6x - 2y = 12
Step-by-step explanation:
A particular movie theater charges $7.00 per adult and $2.50 per child. If 600 people attended a movie and the total revenue from ticket sales was, which of the following models the given information if x represents the number of adults and y represents the number of children?
Answer:
Step-by-step explanation:
7x+2.50y=600
Which function has the graph shown?
A. y = secx
B. y = sinx
C. y = cotx
D. y = tanx
Answer:
tanx
Step-by-step explanation:
the dilation of the figure is 45,000cm3 what is the scale factor of the dilation
The scale factor of the dilation is 30:1.
We have,
A superhero action figure has a volume of 1500 cm³.
The volume of the dilated figure is 45,000 cm³
Now, the scale factor should be
= 45000/ 1500
= 30 /1
Thus, the scale factor of the dilation is 30:1.
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Que tipo de corriente circula por el océano glaciar ártico ??
Answer:Transpolar Drift Stream y el anticiclónico Beaufort Gyre
Step-by-step explanation:
Given PQ|| BC, what is PB?
9.6 units
10 units
13 units
14 units
Using the triangle proportionality theorem, the length of side PB in the given triangle is 10
Calculating the length of a side of a triangleFrom the question, we are to determine what the length of PB is in the given triangle
From the Triangle Proportionality Theorem which states that "If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally".
Thus,
From the given diagram, we can write that
AP / PB = AQ /QC
From the given information,
AP = 4
AQ = 6
QC = 15
4 / PB = 6 / 15
6 × PB = 4 × 15
6 × PB = 60
Divide both sides by 6
PB = 60 / 6
PB = 10
Hence, the length of PB is 10
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A store sells graph paper in packages of 100 sheets. During a sale, they offer a package that has 25% more sheets for no additional cost.How many sheets are in sale package
There are 125 sheets in the sale package.
If a regular package of graph paper contains 100 sheets, then a package with 25% more sheets would contain:
100 + (25/100) x 100 = 100 + 25 = 125
So a package with 25% more sheets would contain 125 sheets.
During the sale, the store is offering a package with 25% more sheets for no additional cost.
This means that the sale package contains the same number of sheets as a regular package, plus an additional 25% of that same number of sheets.
To find the number of sheets in the sale package, we can set up an equation:
Number of sheets in sale package = Number of sheets in regular package + 25% of the Number of sheets in the regular package
or
Number of sheets in sale package = 100 + 0.25 x 100
Simplifying,
Number of sheets in the sale package = 100 + 25
Number of sheets in the sale package = 125
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Directed line segment PQ has endpoint P (-8,-4) and Q (4,12). Determine the point that partitions the directed line segment in a ratio of 3
The directed line segment PQ is divided at this point at a 3:1 ratio (1, 8)
According to the section formula, the coordinates of a point R may be determined by dividing a line segment PQ by that point in the ratio m:n as follows:
[tex]R_x = (n * Px + m * Qx) / (m + n)\\R_y = (n * Py + m * Qy) / (m + n)[/tex]
where [tex]P_x, P_y[/tex] are the coordinates of point P, and [tex]Q_x, Q_y[/tex] are the coordinates of point Q.
In this case, we want to divide the line segment PQ in a ratio of 3:1. This means that m = 3 and n = 1.
Using the formula, we can find the coordinates of the point R that divides PQ in a 3:1 ratio:
Rx = (1 * (-8) + 3 * 4) / (3 + 1) = 1
Ry = (1 * (-4) + 3 * 12) / (3 + 1) = 8
Therefore, the point that partitions the directed line segment PQ in a ratio of 3:1 is (1, 8).
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Find the missing side of the triangle round your answer to the nearest tenth
Answer:
x = 6 feet
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 8² = 10²
x² + 64 = 100 ( subtract 64 from both sides )
x² = 36 ( take square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6 feet
Define your variables, write a system of equations, use your calculator to solve the system of equations and answer the problem.
A grocer sells milk chocolate at $2.60 per pound, dark chocolate at $4.80 per pound, and dark chocolate with almonds at $5.50 per pound. He wants to make a mixture of 50 pounds of mixed chocolates to sell at $4.71 per pound. The mixture is to contain as many pounds of dark chocolate with almonds as milk chocolate and dark chocolate combined. How many pounds of each type must he use in this mixture?
10 pounds of milk chocolate, 15 pounds of dark chocolate, and 25 pounds of almond chocolate.
We have,
A grocer sells milk chocolate at $2.60 per pound, dark chocolate at $4.80 per pound, and dark chocolate with almonds at $5.50 per pound.
Let x be the pounds of milk chocolate and y is the number of pounds of of dark chocolate.
So, x + y + (x+y)= 50
2(x+y)= 50
x+y = 25
x = 25 - y
Now, 2.6x + 4.8y + 5.5(x+y)= 50(4.71)
2.6x + 5.5x + 4.8y + 5.5y = 235.5
8.1x+ 10.3y = 235.5
8.1(25-y) + 10.3y = 235.5
202.5 - 8.1y + 10.3y = 235.5
2.2y = 33
y = 15
and, x = 10
Thus, 10 pounds of milk chocolate, 15 pounds of dark chocolate, and 25 pounds of almond chocolate.
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A sale transaction on rental property closes on December 10th. The landlord received the December rent of $4,400 on December 1. Assuming the closing day is the seller's, and that the 360-day method is used for prorating, how much will the seller owe the buyer?
The seller will owe the buyer an amount of $2,933.40.
How much will the seller owe the buyer?To be able to compute the owed amount, first, we have to compute the daily rate per day which is shown below:
= Rent received / number of days in a month
= $4,400 / 30 days
= 146.67 per day
Data:
Number of days in a month = 30 days
Landlord received a rent on December 10
The remaining days would be = 30 days - 10 days = 20 days
Now, the owed amount would be calculated as:
= Remaining days × per day rate
= 20 days × 146.67
= $2,933.40
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Please help with my geometry.
What is the area of the segment?
r = 3m
central angle = 98°
I NEED HELP!!!! I DONT UNDERSTAND WHAT TO DO SO IF YOU COULD SOLVE IT FOR ME THAT WOULD BE GREAT!!! THXXXX
The measure of the angles are:
∠1 = 90
∠2 = 90
∠3 = 132
We have,
The angle between the tangent and the radius of a circle is 90.
So,
∠1 = 90
∠2 = 90
And,
48 + 90 + 90 + ∠3 = 360 ______(1)
Solve for ∠3 from (1).
48 + 90 + 90 + ∠3 = 360
48 + 180 + ∠3 = 360
∠3 = 360 - 228
∠3 = 132
Thus,
The measure of the angles are:
∠1 = 90
∠2 = 90
∠3 = 132
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Gus has a fish tank that holds
4710
47104710 inches
3
3
cubed of water. He is using a cylinder shaped bucket with a radius of
5
55 inches and a height of
20
2020 inches to fill the tank.
How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn't spill a drop?
Use
3.14
3.143, point, 14 for
π
Gus will need to fill the bucket 3 times to completely fill the fish tank, assuming he doesn't spill any water.
To find how many times Gus will need to fill the bucket to completely fill the fish tank, we first need to calculate the volume of the bucket. The formula for the volume of a cylinder is:
V = πr²h
where V is the volume, r is the radius, and h is the height.
Substituting the given values into the formula gives:
V = 3.14 x 5² x 20
V = 3.14 x 25 x 20
V = 1570 inches³
Therefore, each time Gus fills the bucket, he will add 1570 inches³ of water to the fish tank. To calculate how many times he needs to fill the bucket to fill the entire fish tank, we can divide the total volume of the fish tank by the volume of the bucket:
4710 / 1570 = 3
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Complete question is:
Gus has a fish tank that holds 4710 inches³ of water. He is using a cylinder shaped bucket with a radius of 5 inches and a height of 20 inches to fill the tank. How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn't spill a drop?
One notebook and 2 packs of pencils cost $7.20 two notebooks and 2 packs of paper cost $10.90.How much does 1 pack of paper cost
Answer:
5.45
Step-by-step explanation:
literally do 10.9/2
can someone help me pls it Ricardo has made 4 out of the 12 recipes in his cookbook. What fraction of the recipe has he made? and thank you
Yes, of course!
Ricardo has made 4 out of the 12 recipes in his cookbook.
To find out what fraction of the recipes he has made, you can write it as a fraction:
4/12
To simplify this fraction, you can divide both the numerator and denominator by 4, which gives:
4/12 = 1/3
Therefore, Ricardo has made 1/3 of the recipes in his cookbook.
Suppose that a cylinder has a radius of r units, and that the height of the cylinder is also r units. The lateral area of the cylinder is 512π square units. Find the value of r.
The calculated value of r ihe lateral area of the cylinder is 512π square units is 16 units
Finding the value of r.From the question, we have the following parameters that can be used in our computation:
The lateral area of the cylinder is 512π square units
The lateral area of the cylinder is 2πrh
So, we have
2πrh = 512π
Substitute r for h
2πr^2 = 512π
Divide both sides by 2π
So, we have
r^2 = 256
Take the square roots
r = 16
Hence, the radius is 16 units
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Isaac measured the time it took for some teams to complete an escape room game. He recorded their times in the table below. How many of the teams took less than 20minutes to complete the game? (Image: Image showing mathematical content for the question.)
32 is the number of teams took less than 20minutes to complete the game
Given that Isaac measured the time it took for some teams to complete an escape room game.
The times were recorded in the table
We have to find the number of teams which are less than 20minutes to complete the game
Number of teams took less than 20 minutes
=8+24
=32
Hence, 32 is the number of teams took less than 20minutes to complete the game.
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A function, f(x), has degree of 4. If f(x) has 2 complex zeros then how many real zeros does it have?
If it has 2 complex zeros, then it must have 2 real zeros.
How many real zeros does it have?Remember that the number of zeros that a polynomial of degree N has is also N.
For example in functions like:
f(x) = x^N
We can say that the zero x = 0 has a multiplicity of N, so we have N equal zeros.
Then a polynomial of degree 4 has 4 zeros, if two are complex, then the other two are real zeros.
So we conclude that the answer is 2.
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what point on number line is 7/9 the way from the point -3.6 to the point 10?
The point on the number line that is 7/9 of the way from -3.6 to 10 is approximately 6.97777777778.
To find the point on the number line that is 7/9 of the way from -3.6 to 10, we can use the following formula:
Point = Starting point + (Fraction of distance) x (Total distance)
In this case, the starting point is -3.6, the total distance is the distance from -3.6 to 10 (which is 10 - (-3.6) = 13.6), and the fraction of distance is 7/9.
Plugging in these values, we get:
Point = -3.6 + (7/9) x (13.6)
Simplifying,
Point = -3.6 + (7/9) x (13.6)
Point = -3.6 + 9.9556
Point = 6.97777777778
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Triangle ABC~ Triangle DEF. Find the scale factor from triangle ABC to triangle DEF
Answer:
To go from ABC to DEF, you have to multiply by 8/9
Step-by-step explanation:
40/45 = 8/9
88/99 = 8/9
80/90 = 8/9
An element with a mass of 640 grams decays by 19.3% per minute. To the nearest
tenth of a minute, how long will it be until there are 50 grams of the element
remaining?
it will take approximately 6.8 minutes until there are 50 grams of the element remaining.
We can use exponential decay formula to solve this problem:
A = A₀ ×e²(-rt)
where A is the amount of the element remaining, A₀ is the initial amount, r is the decay rate (as a decimal), t is the time elapsed.
We know that the initial mass of the element is 640 grams, the decay rate is 19.3% per minute, and we want to find the time it takes for there to be 50 grams of the element remaining. So we can write:
50 = 640 ×e²(-0.193t)
Dividing both sides by 640, we get:
0.078125 = e²(-0.193t)
Taking the natural logarithm of both sides, we get:
ln(0.078125) = -0.193t
Solving for t, we get:
t = ln(0.078125) / (-0.193)
t ≈ 6.8 minutes
Therefore, it will take approximately 6.8 minutes until there are 50 grams of the element remaining.
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Answer:
Please mark me the brainliest
Let's denote the time in minutes by t, and the mass of the element at time t by m(t). Then we can write an exponential decay equation:
m(t) = m(0) * (1 - r)^t
where m(0) is the initial mass of the element, r is the decay rate as a decimal (19.3% = 0.193), and t is the time in minutes.
We know that the initial mass is m(0) = 640 grams, and we want to find the time t when the mass has decreased to 50 grams. So we can set up the following equation:
50 = 640 * (1 - 0.193)^t
Simplifying:
0.07796875 = 0.807^t
Taking the natural logarithm of both sides:
ln(0.07796875) = ln(0.807^t)
Using the property of logarithms that ln(a^b) = b * ln(a):
ln(0.07796875) = t * ln(0.807)
Dividing both sides by ln(0.807):
t = ln(0.07796875) / ln(0.807)
Using a calculator, we get:
t ≈ 24.9
Therefore, to the nearest tenth of a minute, it will take 24.9 minutes until there are 50 grams of the element remaining.
Step-by-step explanation:
Can you please help with this question i dont understand thank you.
1. Cost is proportional to Area includes;
-Carpeting that cost $22 for every 3 square yard
-Cost ($) and Area (ft^2) table
-Mulch that cost a set amount to cover a square foot
2. Cost is not proportional to Area;
- Linear graph
- Asphalt sealant that is quoted at a set price per square foot, plus a labor fee
3. Not enough information
- A wood deck quoted at a bulk cost for 25 square feet.
Why is the Linear graph not proportional to area?The Linear graph is not proportional to the area looking at the coordinates that has been provided. The cost to the yard area does not have a consistent progression. By this, $1,600 should cove 60 yd² instead of 80
The above answer is based on the information provided in the picture as seen below;
Drag each object to show whether cost is proportional to area in the situation represented.
Cost is proportional to Area Cost is not proportional to Area Not enough information
a. A wood deck quoted at a bulk cost for 25 square feet.
d. Asphalt sealant That is quoted at a set price per square foot, plus a labor fee.
c. Carpeting that cost $22 for every 3 square yard
d. Mulch that cost a set amount to cover a square foot
e. Cost ($) Area (ft^2)
500 400
750 600
1000 800
f. A cost ($) and area (yd^2) that has coordinates (0, 0), (20, 1200) (80, 1600)
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Use Heron's formula to find the area of the triangle with side lengths 9, 12, and 18, as shown below.
Answer: the answer is 48 or b
Step-by-step explanation:
Heron's formula states that the area (A) of a triangle with side lengths a, b, and c is given by:
A = √(s(s-a)(s-b)(s-c))
where s is the semiperimeter, which is half the perimeter of the triangle:
s = (a + b + c) / 2
In this case, the side lengths are a = 9, b = 12, and c = 18. Therefore, the semiperimeter is:
s = (9 + 12 + 18) / 2 = 39 / 2
Using Heron's formula, we can now calculate the area of the triangle:
Need help??? With this question
Answer:
[tex]28 + y + 36 = 180[/tex]
[tex]64 + y = 180[/tex]
[tex]y = 116[/tex]
Brooklyn needs to earn $14 more dollars to have $32. How much money does Brooklyn have now?
Identify the steps needed to write and solve an equation to solve the word problem. Select all that apply.
The variable, m, is equal to the amount of money Brooklyn has now.
The variable, m, is equal to the amount of money Brooklyn needs to earn.
The correct equation is 14 + m = 32.
The correct equation is 14m = 32.
To solve the equation, subtract 14 from both sides.
To solve the equation, divide 14 on both sides.
Answer:
A,C,E
Step-by-step explanation:
Answer:
a and c and e
Step-by-step explanation:
got it right on my home work
Can you help me with this question?
A Ferris wheel has a diameter of 14 meters determine the distance to the nearest meter that a rider travels after 2 complete laps.
Answer:
88
Step-by-step explanation:
The distance traveled by a rider on a Ferris wheel can be calculated by finding the circumference of the wheel and then multiplying it by the number of complete laps.
The formula for the circumference of a circle is:
C = πd
where C is the circumference, d is the diameter, and π is a constant approximately equal to 3.14.
In this case, the diameter of the Ferris wheel is 14 meters, so the radius (half the diameter) is 7 meters.
C = πd = π(14) = 43.9823 meters (rounded to 4 decimal places)
To find the distance traveled after 2 complete laps, we need to multiply the circumference by 2:
distance = 2C = 2(43.9823) = 87.9646 meters
Rounding to the nearest meter, the distance traveled by a rider after 2 complete laps is 88 meters.
At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1252 with a standard deviation of 39 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following.
(a) a range of years centered about the mean in which about 68% of the data (tree-ring dates) will be found
between
and
A.D.
(b) a range of years centered about the mean in which about 95% of the data (tree-ring dates) will be found
between
and
A.D.
(c) a range of years centered about the mean in which almost all the data (tree-ring dates) will be found
between
and
A.D.
a) The range of years centered about the mean in which about 68% of the data in between 1291 or 1213.
b) The range of years centered about the mean in which about 95% of the data in between 1330 or 1174.
c) The range of years centered about the mean in which about 95% of the data in between 1369 or 1135.
We have,
Mean= 1252
Standard deviation= 39
a) The range of years centered about the mean in which about 68% of the data
= 1252 ±39
= 1252 + 39 or 1252 -39
= 1291 or 1213
b) The range of years centered about the mean in which about 95% of the data
= 1252 ± 2(39)
= 1252 + 78 or 1252- 78
= 1330 or 1174
c) The range of years centered about the mean in which about 95% of the data
= 1252 ± 3(39)
= 1252 + 117 or 1252- 117
= 1369 or 1135
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Give two pairs of polar coordinates for the point (0, -10)
The required two pairs of polar coordinates for the point (0, -10) are:
(10, π/2) and (10, -π/2)
To convert from Cartesian coordinates (x, y) to polar coordinates (r, θ), we can use the following formulas:
[tex]r = \sqrt{(x^2 + y^2)}\\\theta = \tan^{-1}(y/x)[/tex]
Since the x-coordinate of the point (0, -10) is 0, we can directly say that the angle θ is either π/2 or -π/2, depending on whether y is positive or negative.
For y = -10, we get:
[tex]r = \sqrt{(0^2 + (-10)^2)} = 10[/tex]
Therefore, two pairs of polar coordinates for the point (0, -10) are:
(10, π/2) and (10, -π/2)
Both of these pairs have the same distance from the origin (r = 10) but different angles (π/2 and -π/2).
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Classify the triangle described below.
A triangle with measures of x°, 4x°, and 4x° is a(n) triangle.
We can see that the triangle has two equal angles, then it is an isosceles triangle.
How to classify the triangle?Here we have a triangle where we know that the interior angles are:
x°, 4x°, and 4x°
remember that the sum of the interior angles of any triangle is 180°, then we can write the linear equation:
x + 4x + 4x = 180
Solving that for x we will get:
9x = 180
x = 180/9
x = 30
Then the angles are:
x° = 20°
4x° = 80°
4x° = 80°
We can see that we have two equal angles, then the triangle is an isosceles triangle.
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Whats the slope?
Y=x+5
Answer:
Step-by-step explanation:
1
Therefore, for the equation y=x+5 , the slope is 1 , and the y-intercept is 5 .