Two rival dry cleaners both advertise their prices. Store A’s prices are modeled by the expression 20x - 7, where x is the number of items brought in. Store B’s prices are modeled by the expression 4(5x + 7), where x is the number of items brought in. When do the two stores charge the same rate?

Answers

Answer 1

Answer:

Step-by-step explanation:

Store A price is 20x-7

store B price is 4(5x+7)

Where x represents the number of items.

Now, observe that the coefficient of both expressions is 20, because 4(5x+7)=20x+7

Remember that the coefficient of the x-variable is always the constant rate of change. Also, the given expressions can be expressed as linear functions

y=20x-7

y=20x+28

Observe that both Stores have already the same rate, which is  20.

Therefore, they have the same rate at any number of items dry cleaned.

What they have different is their initial condition, -7 and +7 respectively, but the rate is the same..


Related Questions

answer-->
7x/4a
?????​

Answers

Answer:

Yes that is correct!!!!

Step-by-step explanation:

5x/ 2a − 3x/ 4a

= 14ax/ 8a2

= 14x/ 8a

= 7x/ 4a

Step-by-step explanation:

I hope this helps, tell me if you need for it to be explained more

Find the solution to the following system of equations using substitution or elimination​ y=-2x+7 y=3x-8

Answers

Answer:

x = 3, y = 1

Step-by-step explanation:

By substitution since y = -2x + 7, substitute that for the 2nd y so

-2x +7 = 3x - 8, so x = 3, then substitute the 3 in any of the equations, so y = -2(3) + 7 is equal to 1

If you use elimination you can subtract the two equations from each other to get rid of the y so

y = -2x + 7

-y = -3x + 8

so 0 = -5x + 15, 5x = 15, x=3

A mountain bike originally priced at $960.00 is up for sale at a discount of 14%. What is the price of the mountain bike after the discount?

Answers

Answer:

$825.60

Step-by-step explanation:

Since the price of it is $960.00, it means that it's 100%.

100% = 960

1% = 960 ÷ 100 = 9.6

14% = 9.6 x 14 = 134.40

Since they asked for after the discount, deduct the price of the discount with the original price.

Mountain bike after 14% discount =

960 - 134.40 = 825.60

960.00x0.14= 134.4

960.00 - 134.4 = 825.6 < answer

PLEASE NEED DONE ASAP WHOLE THING

Answers

Answer:

it's sideways please turn it so i can read it and help.

Step-by-step explanation:

Combine any like terms in the expression 4a + a​

Answers

4a is the same as adding "a" to itself 4 times.

So, 4a = a + a + a + a

Since 4a and a both have the term "a" in them,

4a + a = a + a + a + a + a

Since there are 5 a's on the right side, this can be combined to simplify,

4a + a = a + a + a + a + a
= 5a

There is a flu outbreak at your school that starts with 10 people. The number of ill students increases by 20% each hour. Write an exponential function to represent the total number of ill students, f(x), where x is the number of hours after the outbreak. How long does it take for at least 100 people to be ill with the flu?

please explain how you do the problem
thank you

Answers

Answer:

y = (10 * 0.2) ^ x

Y = (2)^x

Y =  2^x + 10

6.5 hours

Step-by-step explanation:

Y is the number of people at the school who have been infected with the flu. The 10 is the initial number of infected students which is a constant so it does not change. The 0.2 is the rate of increase, or 20%. The x exponent is the number of hours so that is a changing number. Your answer is 2 to the power of the number of hours which is x. Add ten after that to get your number. to get 100 people ill, it would take about 6.5 hours.

Solve the equation.
4(x + 6) = 2(2x + 12)

Answers

Answer:

0

Step-by-step explanation:

Answer:

All Real Numbers

Step-by-step explanation:

[tex]4(x + 6) = 2(2x + 12)[/tex]

divide both sides by 2

[tex]2(x + 6) = 2x + 12[/tex]

[tex]2x + 12 = 2x + 12[/tex]

this is enough to prove that it's all real numbers, but it can be simplified even more

[tex]2x=2x[/tex]

subtract 2x from both sides

[tex]0=0[/tex]

0 will always equal 0, so x is all real numbers

What is angle m
This is geometry

Answers

Step-by-step explanation:

<HAM+<HAJ=180 LINEAR PAIR

<HAM=180-<HAJ=180-42=138IS YOURANSWER

Answer:

138°

Step-by-step explanation:

∠JAM = 180°

∠JAH = 42°

∠JAH + ∠HAM = 180° because they are supplementary

42° + ∠HAM = 180°

∠HAM = 180°-42°

∠HAM = 138°

Five sandwiches and four drinks cost £20. Two sandwiches and five drinks cost £8. Find the cost of one sandwich.

Answers

Answer:

2.5

20 divided by 8 equals to 2.5

The answers for this question is 2.5

A concert was recently held at the civic auditorium. All 5000 tickets were sold. a. 25% of the tickets were reserved seats that sold for $45 each. What was the total amount in sales for the $45 tickets?

Answers

Answer:

$56,250 is the answer.

Step-by-step explanation:

Hope this helps!!!!!!!

After an office party, 4 1/3 pizzas are left. A day later, there are 1 5/6 pizzas left. How munch pizza was eaten during the day after the party

Answers

Answer:

15/6 pieces of pizza were eaten. Which is equivalent to 2.5. So 2.5 pizzas were eaten.

Step-by-step explanation:

Just did the math. Convert 4 1/3 to 0/6. So 1 times 2 is 2, and 3 times 2 is 6. Which would give you 4 2/6 which has the same denominator as 1 5/6.

Please help me with these questions guys

Answers

Answer:

6m

Step-by-step explanation:

You need to use trigonomtery: SOHCAHTOA

Since we are looking for the height, we should use the Sine rule:

Sine(37) = opposite/hypotenuse

We already have our hypotenuse which is 10

sine(37) = opposite/10m

Now we re-arrange to find the opposite(which is our height)

opposite = 10m x sine(37)

opposite = 6.018

Therefore height = 6 to the nearest metre

Hope this helps :)

Will only name Brainliest if its the correct answer!

Answers

Answer:

2

Step-by-step explanation:

[tex] \frac{( {( {x}^{3} {x}^{4} )}^{2}) }{ {( {x}^{5} {x}^{3} )}^{z} } = {x}^{ - 2} \\ \\ \frac{( {( {x}^{3 + 4} )}^{2}) }{ {( {x}^{5 + 3} )}^{z} } = {x}^{ - 2} \\ \\ \frac{ {(( {x}^{7} ) }^{2}) }{ {( {x}^{8} )}^{z} } = {x}^{ - 2} \\ \\ \frac{ {x}^{7 \times 2} }{ {x}^{8 \times z} } = {x}^{ - 2} \\ \\ \frac{ {x}^{14} }{ {x}^{8z} } = {x}^{ - 2} \\ \\ {x}^{14 - 8z} = {x}^{ - 2} \\ \\ 14 - 8z = - 2 \\ \\ 14 + 2 = 8z \\ \\ 16 = 8z \\ \\ z = \frac{16}{8} \\ \\ z = 2[/tex]

Answer:

sorry late. from next time it will be in time

Write the equation of a line that passes through the point (0, 3) and (-4, 11). *

Answers

Answer:

y = -2x + 3.

Step-by-step explanation:

The slope = (11-3)/(-4-0)

= 8/-4

= -2.

Using the point-slope form of a straight line:

y - y1 = m(x - x1)

Here m = -2 and (x1, y1) = (0,3). then

y - 3 = -2(x - 0)

y - 3 = -2x

y = -2x + 3.

with three cans of paint u can paint 2 walls with 2 layers. How many cans do u need to paint 10 walls with 3 layers?

Answers

Answer:

22.5 cans of paint

Step-by-step explanation:

[tex]n=3*10*\frac{3}{2*2} =30*\frac{3}{4} =22.5 cans[/tex]

Answer:

You need 22.5 cans of paint to paint 10 walls with 3 layers.

Step-by-step explanation:

[tex]\frac{3}{2*2}[/tex] = 0.75 (Represents how many cans of paint it takes to paint 1 wall with 1 layer)

0.75 * 10 * 3 = 7.5 * 3 = 22.5 (The number of paint needed for 1 wall with 1 layer multiplied by 10 walls with 3 layers to get the total amount of paint needed)

at a school 111 students play at least one sport this is 30% of the students at the school how many students are at the school​

Answers

Mark as Branliest if you like the answer and want to be ansewered frequently within no time

Ratio,rates,and proportional test

Answers

Answer:

Sorry, you didn't attach an image.

Step-by-step explanation:

Good luck with your test!

Find the slope between each pair of points.

(5, 9) and (3, 9)

Answers

Answer:

0

Step-by-step explanation:

slope= y2-y1/x2-x1 = 9-9/3-5=0/-2 =0

PLEASE HELP!!!!!!!A storekeeper increased the price of hats by 5%.
If the price of a hat (after the increase) is $33.60, what
is the original price?
and Explain!!!!!

Answers

Answer:

$31..92 is the original price

Step-by-step explanation:

can you find the area for this?

Answers

Answer:

[tex]74.88yd^{2}[/tex]

Step-by-step explanation:

[tex]A=9.6*4.7+2*.5*9.6*(\frac{10.9-4.7}{2} )=74.88yd^{2}[/tex]

In the figure, AB CD and mZ2 = 55°.
What is mZ8?

Answers

Answer:

m<8=m<2=55° being exterior angle

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proofs.

Given: Points R, S, T, Q on circle O



Prove: mRS + mST + mTQ = mRQ

Answers

Answer:

Match the number of statement with the same number of reasons.

Step-by-step explanation:

Here are the statements

1.

Points R, S, T, Q on circle O

2.

measure of RS+ST=RT

measure of RT+TQ=RQ

3.RS+ST+TQ=RQ

Here are the reasons

1.Given

2. Arc Addition

3. Subsitution

Nick decides to play "Spin to Win" at a fundraiser event. He has a 25% chance of winning on any individual spin.

Individual spins are independent. Nick decides to play the game 10 times.

What is the probability that Nick wins at least once?

Round to 2 decimal places,

Answers

Answer:

0.015625

Step-by-step explanation:

The probability that Nick wins at least once is 2.5

What is probability?

"Probability is finding out the possibilities of the occurrence of an event."

Formula to find the probability of an event:

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

What is percent?

"It is a number that can be expressed as a fraction of 100."

For given example,

Nick has a 25 percent chance of winning on any individual.

This means, his chances of winning on any individual spin are 0.25

Individual spins are independent and Nick decides to play the game 10 times.

So the probability that Nick wins at least once is 10 × 0.25 = 2.5

Therefore, the probability that Nick wins at least once is 2.5

Learn more about the probability here:

https://brainly.com/question/11234923

#SPJ2

ANSWER THIS QUESTION PLZ PLZ PLZ!!!!!

Answers

Answer:

A

Step-by-step explanation:

Add all the numbers, divide the number of seniors by the total, thats the answer.

In a survey of 3,000 people who owned a certain type of car, 1800 said they would buy taht ype of car again. What percent of the people surveyed were satisfied with the car

Answers

60% would be the answer. You can find us by doing part overhaul equals percent over 100. Hope this helps

Can you simply these fractions?

Answers

1/4, 3/5, 1/9, 1/10, 3/7, 3/4, 5/6, 1/6, 1/5, 2/3 :))

a telephone booth 7 ft tall casts a shadow 20 ft long. At the same time, a nearby fire hydrant casts a shadow 8 ft long. Find the height of the fire hydrant

Answers

Answer:

2 4/5 feet

Step-by-step explanation:

let 'x' = height of fire hydrant

7/20 = x/8

cross-multiply:

20x = 56

x = 56/20 or 14/5, which is 2 4/5

A milk truck is driving around town. What is the volume of the milk truck?
Length: 6
Width: 4
Height: 6

Answers

Answer:

[tex]144[/tex] cubic units

Step-by-step explanation:

We can assume that the truck is a rectangular prism since we're given its length, width, and height. To find the volume of a rectangular prism, simply multiply its length, width, and height together. As an algebraic expression, this would be [tex]l*w*h[/tex], where [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex] are the prism's length, width, and height, respectively.

In this case, we are given that [tex]l=6[/tex], [tex]w=4[/tex], and [tex]h=6[/tex]. Therefore, the volume of the milk truck is [tex]6*4*6=144[/tex] cubic units. Hope this helps!

Answer: 144 feet³

Step-by-step explanation: To find the volume, mutiply the Length, Width, and Height. Or we can use the formula.

Rectangular Tank Volume Formula: L x W x H

As we see, 6 is the Length. 4 is the Width and 6 is the Height.

So, we can multiply the Length, Width, and Height to get the volume.

6 x 4 x 6 = 144 feet³

Therefore, the answer is 144 feet³

Find it the value of x.

Answers

Answer:

x=18

Step-by-step explanation:

100 and (5x+10) are congruent (vertical angles theorem)

5*18+10=100

help quick please !!

Answers

Answer:

Option c = [tex]\sqrt[9]{3}[/tex]

Step-by-step explanation:

One side = 18

Bottom side = 18 (equalateral triangle)

we can use phytagorues theorum:

a = the altitude (unknown)

b= one side (half of the bottom side) = 18/2 = 9

c = hypothenus = 18 (given)

a^2 + b^2 = c^2

a^2 + 9^2 = 18^2

a^2 = 18^2 - 9^2

   a^2  = 243

a = [tex]\sqrt{243}[/tex] = [tex]\sqrt{ 3 x 3 x 3 x 3 x 3 }[/tex] = [tex]\sqrt[9]{3}[/tex]

I hope im right !!!i

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