Answer
Area of the rug is 64 in^2
Answer:
676 cm²
Step-by-step explanation:
A square has 4 congruent sides , then
104 ÷ 4 = 26 cm ← length of side of square s
The area (A) of a square is calculated as
A = s² = 26² = 676 cm²
Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25. Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25. Write and solve a system of equations to determine the price of each bag of popcorn and the price of each pretzel.
Taking into account the definition of a system of linear equations, the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
In this case, a system of linear equations must be proposed taking into account that:
x: price of each bag of popcorn. y: the price of each pretzel.On one hand, Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25. This is expressed by 2x+5y= 37.25
Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25. This is expressed by 8x+9y=102.25
So, the system of equations to solve is:
[tex]\left \{ {{2x+5y=37.25} \atop {8x+9y=102.25}} \right.[/tex]
There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.
So, isolating the variable x from the first equation:
2x+5y= 37.25
2x= 37.25 - 5y
x= (37.25 - 5y)÷2
x= 18.625 - [tex]\frac{5}{2}[/tex]y
Replacing in the second equation:
8×(18.625 - [tex]\frac{5}{2}[/tex]y)+9y=102.25
Solving:
8×18.625 - 8×[tex]\frac{5}{2}[/tex]y+9y=102.25
149 - 20y + 9y=102.25
149 -11y= 102.25
-11y= 102.25-149
-11y= -46.75
y= (-46.75)÷ (-11)
y= 4.25
Finally, replacing in x= 18.625 - [tex]\frac{5}{2}[/tex]y and solving you get:
x= 18.625 - [tex]\frac{5}{2}[/tex]×4.25
x= 18.625 - 10.625
x=8
Remembering that x represents the price of each bag of popcorn and y represents the price of each pretzel, you get that the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.
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pls help (written response pls)
Answer:
It would be Number of Hours
Step-by-step explanation:
The word Dependent Variable means a number/something that relies on something else so the word "Number" Relies and something to follow it up and in this sentence it's "number of hours"
Hope this Helps :)
1
The blue print of Vanessa's new home was drawn with a scale factor of 1 foot = 0.33 inch. The
actual length of the living room was to measure 12 feet. Determine the length of the living
room shown in the blueprint.
The length of the living room in the blue print is 3.96 inch
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the given question
We have,
1foot = 0.33 inch
The actual length of the living room =12feet.
Therefore,
The length of the living room in the blue print = 12 × 0.33 = 3.96inch
Hence, the length of the living room in the blue print is 3.96 inch.
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A man owns a store. One week he sells 100 loaves of bread. If he sells twice as many loaves the next week, how many loaves did he sell in total
can hellp me with this plzzzzzzz no links plz
A jar is filled with pennies, nickels, and dimes. The probability of picking a penny is
1
4
, and the probability of picking a dime is
1
3
. What is the probability of picking a nickel?
Answer:
1
3 maybe
Step-by-step explanation:
How can probability be applied to decision making?
Answer:
ANSWER============================You can calculate the probability that an event will happen by dividing the number of ways that the event can happen by the number of total possibilities. Probability can help you to make better decisions, such as deciding whether or not to play a game where the outcome may not be immediately obvious.============================#CarryOnLearningAnswer: Using Probability to Increase the Odds of success
2.5kg of potatoes cost 1.40
work out the cost of 4.25kg
Answer:
$2.38
Step-by-step explanation:
Proportions:
2.5 kg ⇔ $1.40
4.25 kg ⇔ $P
P = 4.25kg * $1.40 / 2.5kg
P = $2.38
evaluate the expression when p = 4. p^2+5 no links pls
Answer:
21
Step-by-step explanation:
when p is 4
p² + 5 = 4² + 5
16 + 5 = 21
what is 12/3/5 simplified?
Answer:
1/4
Step-by-step explanation:
Divide both the numerator and denominator by the GCD 9 ÷ 9
36 ÷ 9
Reduced fraction: 1/4 Therefore, 9/36 simplified to lowest terms is 1/4.
If you walked for 5 minutes, what would the ratio of feet to minutes be? Use your steps to minutes ratio from Task 1 to determine a ratio of feet to minutes. Show your calculation.
Answer:
2:1 RATIO
Step-by-step explanation:
If you walked for 5 minutes, the ratio of feet to minutes would be approximately 2.1665 feet per minute.
How did we get the value?To determine the ratio of feet to minutes, we can use the steps to minutes ratio from Task 1. Let's find the steps-to-feet ratio first:
Steps:Feet
4:10
6:15
12:30
30:40
Now, let's calculate the steps-to-feet ratio by finding the average of the steps-to-feet ratio from all the given data points:
Average Steps-to-Feet Ratio = [(10/4) + (15/6) + (30/12) + (40/30)] / 4
Average Steps-to-Feet Ratio = (2.5 + 2.5 + 2.5 + 1.333) / 4
Average Steps-to-Feet Ratio = 2.1665
Now, for the question at hand, if you walked for 5 minutes, the ratio of feet to minutes would be approximately 2.1665 feet per minute.
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Gravitational force acts on all object in proportion to their masses. Why then, a heavy object does not fall faster than a light object?
Answer:
[tex]\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}[/tex]
The reason that a heavy body doesn't fall faster than a light body is because the greater gravitational force on the heavier body (its weight), acts on a correspondingly greater mass (inertia). The ratio of gravitational force to mass is the same for every body—hence all bodies in free fall accelerate equally.
hope helpful~
~Be Brainly!~ExhaustedZombie(Will give 1,000 points!) Look at the two 3s in this number:
89.033
Which of these statements is true? Choose all that apply.
A
The blue 3 on the left is 300 times the value of the orange 3 on the right.
B
The blue 3 on the left is 100 times the value of the orange 3 on the right.
C
The blue 3 on the left is 10 times the value of the orange 3 on the right.
D
The blue 3 on the left is equivalent to the orange 3 on the right.
E
The orange 3 on the right is 1/10 of the value of the blue 3 on the left.
(And yes there are multiple answers!)
The only true statement is "the orange 3 on the right is 1/10 of the value of the blue 3 on the left"
This question bothers on place values.
Given the decimal value 89.033, the place value of the blue 3 on the left is the hundredth place (1/100) while the place value of the orange 3 is in the thousandth place(1/1000).
We need to check which of the statement is correct.
For the first option, the blue 3 on the left is 300 times the value of the orange 3 on the right;
1/100 = 300(1/1000)1/100 = 3/10Since 0.01≠0.3, hence the first option is wrong
For the second option, the blue 3 on the left is 100 times the value of the orange 3 on the right;
1/100 = 100(1/1000)1/100 = 1/100.01≠0.1, hence the second option is wrong.
The blue 3 on the left is equivalent to the orange 3 on the right is also wrong since they are positioned in a different place
The orange 3 on the right is 1/10 of the value of the blue 3 on the left, is expressed as;
1/1000 = 1/10(1/100)0.001 = 0.001Hence the only true statement is "the orange 3 on the right is 1/10 of the value of the blue 3 on the left"
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Write the equation of the line that passes through (0,5) and is perpendicular to the line x = 3.
Answer:
(0,5)x3=(15,5)
Step-by-step explanation:
Which of the following expresses in sigma notation?
Answer:
A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n . The expression is read as the sum of 4n as n goes from 1 to 6 .
Which of the following are valid names for the given triangle? Check all that
apply.
Answer:
A) AXT
C) TAX
F) XTA
=====================================
Explanation:
We name a triangle based on its corner points (aka vertex points). Those three points are A, T and X. The order doesn't matter so there are 6 ways to name this triangle and they are
ATXAXTTAXTXAXATXTAThe terms in bold are the final answers. Anything involving M or Y isn't part of the naming because we use the corner points only.
A number is chosen uniformly at random from among the positive integers less than $10^8$. Given that the sum of the digits of the number is 9, what is the probability that the number is prime
Answer:
If the sum of the digits of a number is divisible by 9, then that number is divisible by 9. An..... sorry if this does not help :(
Step-by-step explanation:
State the y-coordinate of the yintercept for the function below.
f(x) = 4x^3-12x^2-x+15
Answer:
15
Step-by-step explanation:
let y = f(x)
substitute x = 0
y = 4(0)^3-12(0)^2-(0)+15 = 15
Blair worked for 4 2/5 hours and earned $36.30. How much would she earn if she worked for 5 4/5 hours? Enter your answer in the box.
PLEASE HELP ASAPPPPP!!! I WILL GIVE BRAINLIEST AND 50 POINTS!!!
Answer:
$47.85
Step-by-step explanation:
4 2/5 in decimal form is 4.4
Using the equation hrs/money=x, 36.30/4.4=8.25
So, she gets $8.25 per hour
Then, 5 4/5 in decimal form is 5.8
So, 5.8*8.25=47.85
She gets $47.85 for working 5 4/5 hours
Answer:$47.85
Step-by-step explanation:
The staff at Aretha's Furniture built 60 chairs and stools in one day. It takes one person 3 hours to produce a chair and 2hours to build a stool. How many of each were made if the staff of 12 people worked 8 hours each? x+y= 60; 3x + 2y = 96 x + y = 96; 2x + 3y = 60 You can use a system of equations to find the answer. Let x = the number of chairs, and y = the number of stools. x + y = 60; 2x + 3y = 12 x+y= 60; 3x + 2y = 12 +
Answer:
Number of chairs = 24
Number of stools = 12
As about the question number 2, I think you should check whether the question you copied is correct are not.
Step-by-step explanation:
1. One person,
Three hours for a chair and two hours for a stool
Therefore, 12 people working for 8 hours;
Per person produced two chairs and one stool as 3+3+2=8 hours
12×2= 24 chairs and 12×1=12 stools.
I need help with A-G,I,L,N
I hope yall have a merry Christmas
Format of my answer:
[Problem letter] Parallel Lines
- Converse / Reason
!! I am not sure which / what converses you are using, but I gave the reasoning for it. If you see something similar, use the converses you know !!
[a] j & k
- If two lines intersected by a transversal form congruent alternate interior angles, then the lines are parallel
[b] m & n
- If angles are supplementary in this placement, the lines are parallel
[c] l & n
- If angles are equal when they are corresponding, the lines are parallel
[d] l & m
- If two angles that are congruent are vertical, the lines are parallel
[e] j & k
- If two lines intersected by a transversal form congruent corresponding angles, then the lines are parallel
[f] l & n
- If angles are supplementary in this placement, the lines are parallel
[g] l & n
- If two angles that are congruent are vertical, the lines are parallel
[h] -------
[i] l & n
- If two angles that are congruent are vertical, the lines are parallel
[j] -------
[k] -------
[l] j & k
- If two lines intersected by a transversal form congruent corresponding angles, then the lines are parallel
[m] -------
[n] j & k
- If angles are supplementary in this placement, the lines are parallel
[o] -------
-> See attached for more information
Have a nice day! - hopefully these are mostly correct, been awhile since I've done this
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
PLS ANSWER QUICK I HSVE EXAMS COMING UP VERY SOON у
42) Which equation best represents the line of best fit for this
scatter plot?
A. y = 4x - 4
B.y= 4x-2
C. y = x-4
D. y=x-2
-5-4-3-
12 for every 2 male birds in a bird cage there are 5 females. What is the ratio of the males to females
Help please
Pleasssssse
Answer:
a) Draw a line horizontally on 4 on the y axis
b)x=2,y=3
The computer monitor to the right has a length of 44 inches and
a width of 38 inches. Find the length of the diagonal. Round your
answer to the nearest hundredth.
Answer:
58.14 inches
Step-by-step explanation:
Pitagoras:
Diagonal² = length² + width²
Diagonal² = 44² + 38²
Diagonal² = 1936 + 1444
Diagonal² = 3380
√Diagonal² = √3380
Diagonal = 58.137 = 58.14inches
Three consecutive integers add up to 30. Which integers are they?
Answer:
30 31 33 are the three integer consective
Write the equation from the line whose slope and the point through which it passes are given. Express the equation in point-slope form. (8,-1) and slope m=-3
Answer:
y + 1 = 3(x - 8)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 3 and (a, b ) = (8, - 1 ) , then
y - (- 1) = 3(x - 8) , that is
y + 1 = 3(x - 8)
Make y the subject of the formula
12m + 24y = 20
Answer: m=5/3-2y or if your solving for y y=-m/2+5/6
Step-by-step explanation:
Answer:
y = 5/6 - m/2
Step-by-step explanation:
4(3m + 6y) = 20
3m + 6y = 5
6y = 5 - 3m
y = 5/6 - 3m/6
y = 5/6 - m/2
HELP URGENT!!! RESPOND QUICKLY!!!
Answer:
i think x = 7 y = 11
Step-by-step explanation:
have a nice dae
What is an equivalent expression to 14x^2 + 4y^3 - 3x^2 - 5 + 2y^3
Answer:
It’s C :)
Step-by-step explanation:
The solution is Option C.
The value of the equation is simplified as A = 6y³ + 11x² - 5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 14x² + 4y³ - 3x² - 5 + 2y³ be equation (1)
On simplifying the equation , we get
Adding the similar terms in the equation , we get
A = ( 4y³ + 2y³ ) + ( 14x² - 3x² ) - 5
Now , the value of A is
A = 6y³ + 11x² - 5
Therefore , the value of A is 6y³ + 11x² - 5
Hence , the equation is 6y³ + 11x² - 5
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