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

How many terms are in the expression below?

3x3+4x+7

Answers

Answer:

3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Whenever you are multiplying any numbers or dividing you count them as terms. Since you are multiplying two numbers there will be 2 terms you don't count them if you add.

Tell me if I'm wrong and please explain.

Round 1.823 to the nearest whole number.​

Answers

Answer:

2

Step-by-step explanation:

Look at the ones place (1). Look to the right of it (8). Since 8 is more than 4, raise the 1 to the next number, 2. So rounded to the nearest whole number, the decimal 1.823 is 2.

Hope it helps!

LMNP is rotated 180° clockwise around the origin.

Answers

Answer:

The correct answer is B

Step-by-step explanation:

-3,-4

Coordinates of M are (-3, -4) as LMNP rotates 180° clockwise.

What is clockwise rotation?

" Clockwise rotation means when any object is moving in the direction of hands of clock."

According to the question,

As per the diagram ,

Coordinates of M are ( 3, 4)

Rotation of a point through 180° about the origin when a point M( x, y) is rotated about the origin through 180° in anticlockwise or clockwise direction, it takes the new coordinates ( -x ,-y).

Therefore , coordinates of M are ( -3, -4).

Hence, coordinates of M are (-3, -4) as LMNP rotates 180° clockwise.

Learn more about clockwise rotation here

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Please and thanks!!!

Answers

i can’t really see it

Consider the system of equations below.
4x – 8y = 12
11x + 7y = 33

Answers

Answer:

x = 3

y = 0

Step-by-step explanation:

x=3 and y=0 is your answer have a great rest of your day

y= x + 3

y= -1/2x - 3

plot 2 lines on the graph​

Answers

Answer:

y = x + 3 is the Green Line

y = -1/2x -3  is the Blue Line

Please help me it says What kind of triangle makes the Pythagorean theorem true?what angle does it need to have?

Answers

Answer:

right triangle

Step-by-step explanation:

The sides of a right triangle in a simple way, so that if the lengths of any two sides are known the length of the third side can be found.

hope it helps.

i need help with the answers

Answers

Answer:

1.A

2.C

3.D

4.B

5.C

6.A

When Mei solved the system of equations below, she got the
solution x = 4, y = 2. Without solving the system, yourself, can you
tell her whether this solution is correct?
4x + 3y = 22
x - 2y = 0
No
yes
Both

Answers

Answer:

yes

yes is answer of this equation

Answer:

answer is yes

Step-by-step explanation:

A car dealership buys a car for $12,500. They sell the car for $15,750. What is the percent markup?

Answers

Answer: 26%

Step-by-step explanation:

The formula to calculate the percentage markup is given as:

= Selling price - Cost / Cost price × 100

where selling price = $15750

Cost price = $12500

Percentage markup = ($15750 - $12500) / $12500 × 100

= $3250/$12500 × 100

= 26%

Answer: 26

Step-by-step explanation:

12,500 - 15,750= 3250

A trampoline has a jumping surface that is 15.7 ft. long and 12 ft. wide. What is the area of the jumping surface?

Answers

Answer:

188.4

Step-by-step explanation:

because if you multiply 15.7 and 12 you get 188.4 and that is the area of the jumping space.

Answer:

area = length×wide=15.7×12=188.4ft²

Joanne bought 5 candy bars for $3.50. How much is each candy bar? pls help !!

Answers

Answer:

70 cents

Step-by-step explanation:

all you have to do is divide $3.50 and 5 :)

$0.70 or 70 cents
Explanation:
All you have to do is take $3.50 divided by 5. You’ll get 0.7.

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 proof.

Given: Two concentric circles with AB tangent to smaller circle at R



Prove: AR = RB

Answers

Step-by-step explanation:

The statements are

1.Draw Oa,Ob

2.OR is perpendicular to AB

3.OR is congruent to OR

4.OA is congruent to OB

5.Triangle AOR is congruent to BOR.

6.AR is congruent to AB.

The reasons are

1.Auxalaritly lines

2 Radius are perpendicular to tangent

3.Reflexitive

4.Radii of same circle are equal

5.HL theorem, (since we know hypotenuse and a leg)

6.CPCTC

For every person who has the flu, there are 6 people who have only flu-like symptoms. If a doctor sees 40 patients, determine approximately how many patients you would expect to have only flu-like symptoms.

Answers

Answer:

Approximately 7 people.

Step-by-step explanation:

Make a proportion of x/6 and divide 40 by 6. We get 6.23333...

This is approximately 7 people.

Fill in the blank to make an equivalent ratio.
4:7 = ______ : 56

Answers

Answer:

4:7 = 32:56

Step-by-step explanation:

4 x 8 = 32

7 x 8 = 36

Hope this helped!

PLZZZZZ give me brainliest

Answer:  32:56

Step-by-step explanation:

because first I divided 56/7=8 and then did 4*8=32. You're welcome!!! c:

can somebody help me

Answers

Answer:

m=1/2

Step-by-step explanation:

your answer is right

m=1/2 hope this helped

Plz help me out xx tysm

Answers

Answer:

see explanation

Step-by-step explanation:

let the number be x , then

[tex]\frac{1}{2}[/tex] x = 44.3 ← is the equation

Answer:

x / 2 = 44.3

Hope that helps!

Step-by-step explanation:

Determine the value of m∠DCB.

Answers

Answer:

Angle DCB is Equal to 78

Step-by-step explanation:

4x+2 + 3x+3 =180

7x +5=180

7x=175

x=25.

Then put the x in the 3x+3

3(25) +3 = 78

so  DCB = 78

the answer to this equation would be 78

Need help as fast as possible please
I will mark BRAINLIST only for correct answers :)
Thank you!

Answers

Answer:

Correct Answer

Step-by-step explanation:

Mark as brainliest now NOW!

Question 3:
Solve the inequality 3x – 8 > 16

Answers

Answer:

x is greater than 8

Step-by-step explanation:

3x-8>16

3x>24

x>8

The solution of the inequality is : x is greater than 8.

Here, we have,

given that,

the inequality 3x – 8 > 16

now, we have to Solve the inequality 3x – 8 > 16

so, we get,

3x-8>16

adding 8 on both side, we get,

=>3x>24

dividing both side by 3, we get,

=>x>8

Hence, The solution of the inequality is : x is greater than 8.

To learn more on inequality click:

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PLS HELP!! GIVING BRAINLIST

Answers

Answer:

x=2

y=0

Step-by-step explanation:

8x - 4y = 16

solve for x

8x = 4y + 16

divide 8 by all terms

x = 2 + [tex]\frac{y}{2}[/tex]

Insert x in second equation

8(2+y/2)+4y=16

solve

y=0

x=2


A line passes through (-3, -1) and is parallel to the graph of y = 3x-4 has a slope Please help

Answers

Answer:

-12

Step-by-step explanation:

The radius of a circle measures 12 centimeters.
What is the circumference of the circle?

Answers

Answer:

C=24π

Step-by-step explanation:

C=2πr

C=2π12

C=24π

≈75.39

Help Asap if i can i will give brainliest

Answers

Answer:

10x+2y

8c+2

0

Step-by-step explanation:

1) Evaluate 3+ (a + 4)(8 – b) when a
5 and b = 6

Answers

Answer:

21

Step-by-step explanation:

3+(5+4)(8-6)

3+(9)(2)

3+18=21

Answer:

The answer is 21

Step-by-step explanation:

3+(a+4)(8-b)

3+(5+4)(8-6)

3+9x2

3+18

21

Hope this helps

One-third of a number decreased by six equals eight. What is the number?
6

Answers

Answer:

The number is 42.

whatt does 5x + 9y =8 equals.

Answers

Answer:

x=8/5−9y/5

Y=8/9−5x/9

Step-by-step explanation:

Answer:

If ur solving for x, then x equals 8/5 - 9y/5

Step-by-step explanation:

Help I will be marking brainliest!!!!

A. 241 feet
B. 358 feet
C. 258 feet
D. 341 feet

Answers

Answer: A. 241 feet

Step-by-step explanation:

The figure shows two rectangular triangles.

These triangles are similar since they have two identical angles:

the first angle is 90 degrees;

the second angle is equal because the law of reflection states that the angle of incidence is equal to the angle of reflection.

The law of reflection states that the angle of incidence is equal to the angle of REFLECTION.

Let's make the proportion:

[tex]\dfrac{4}{273} =\dfrac{5}{x} \\\\x=\dfrac{273 \cdot 5}{4} =341.25 \: (feet)\\[/tex]

It takes a minimum of 100 feet for a parachute to open and safely land without injury, so:

341.25 - 100 = 241.25 (feet)

241.25 ≈ 241 (feet)

Find the slope of the line y=-6x-4. Type your answer as an integer.

Answers

Answer:

The slope is -6

Step-by-step explanation:

In the slope intercept form, it is y=mx+b, where m is the slope and b is the y-intercept

Therefore, -6 is slope and -4 is y-intercept

Given h(x) = 4x−4, find h(−3)

Answers

Answer:

-16

Step-by-step explanation:

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