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?

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

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)

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

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

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 :)

Answer:

$56,250 is the answer.

Step-by-step explanation:

Hope this helps!!!!!!!

Answer:

0

Step-by-step explanation:

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

Answer:

0.015625

Step-by-step explanation:

The probability that Nick wins at least once is 2.5

"Probability is finding out the possibilities of the occurrence 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"

"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:

[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

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.

Answer:

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

Step-by-step explanation:

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.

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.

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

Answer:

x=18

Step-by-step explanation:

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

5*18+10=100

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

Answer:

2.5

20 divided by 8 equals to 2.5

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

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°

Answer:

$31..92 is the original price

Step-by-step explanation:

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

Answer:

A

Step-by-step explanation:

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

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

Answer:

Sorry, you didn't attach an image.

Step-by-step explanation:

Good luck with your test!

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

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]

Answer:

m<8=m<2=55° being exterior angle