This week Michel collected $468 for delivering newspapers .He had 40 repeat customers and 18 new ones . As an incentive he charged the new subscribers $3 less than the repeat customers . If x represents the amount Michel collects from each customer , which equation models this problem ?

Answers

Answer 1

Answer:

[tex]58x-54=468[/tex]

Step-by-step explanation:

Number of repeat customers = 40

Amount charged from each of the repeat customers = $ x

So,

amount charged from 40 customers = $ 40 x

Number of new customers = 18

As Michel charged each of the new subscribers $3 less than the amount charged from each of the repeat customers,

amount charged from each of the new customers = $ (x - 3)

So,

amount charged from 18 new customers = $ 18(x - 3)

Total amount charged from repeat and new customers = [tex]\$[(40x)+18(x-3)]=\$40x+18x-54=\$58x-54[/tex]

As Michel collected $468 for delivering newspapers,

[tex]58x-54=468[/tex]


Related Questions

16X = 22 + 5x
what is x

Answers

Answer:

x=2

Step-by-step explanation:

16x = 22+5x

1) 16x-5x = 22 + 5x - 5x =

11x = 22

x=2

Answer:

x=2

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    16*x-(22+5*x)=0

Pull out like factors :

  11x - 22  =   11 • (x - 2)

Solve :    11   =  0

This equation has no solution.

A non-zero constant never equals zero.

 Solve  :    x-2 = 0

Add  2  to both sides of the equation :

                     x = 2

Write the sentence as an inequality. 14 is no less than 8 times a number x plus 6.

Answers

Answer: 14 ≤ 8x+6

i think this is it

How many times greater is the value of 0.02 than the value of 0.002

Answers

1000 times as the value

The value of 0.02 is 10 times greater than the value of 0.002.

What is meant by inequality?

If two given numbers are not equal, we use inequality. It means that the first number is either greater than or less than the second number.

we have a value of 0.02 greater than the value of 0.002

[tex]\frac{2}{100} = \frac{2}{1000} \\[/tex]

[tex]\frac{2}{100} \times\frac{1}{10} = \frac{2}{1000} \\[/tex]

Therefore, The value of 0.02 is 10 times greater than the value of 0.002.

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your friend defines a right angle as an angle that is greater than an acute angle

Answers

Answer:

obtuse angle

Step-by-step explanation:

because it is 180 degrees.

Answer:

a right angle is an angle that is exactly 90*.

Step-by-step explanation:

acute angles are defined as anything less than or equal to 89* and the opposite for obtuse angles. A right angle is exactly 90*.

It cost $75 to rent a limo, plus $20 per hr. Write an equation to represent the total cost,c, of renting the limo for T hours.

Answers

We must create the equation from the information. Well, we know that there is a 75 dollar fee right off the top, and there is the word "plus" in the information meaning there will be adding.

1. Add the given cost plus the addition sign.

75 + ___ = ?

Now, we must find out what fills in "__." It says that it costs $20 per hour to rent the limo. However, it doesnt tell you how many hours it is being rented for, however it does say that the amount of hours is represented by T. So, fill in that information.

2. Fill in the second number.

75 + 20T = ?

Since there isn't a number to finish the second number to the equation, we know that there isn't going to be a completed answer. So, fill in the final cost with "c" as explained in the equation.

3. Write the answer.

75 + 20T = c

So, the equation to this problem is:

75 + 20T = c

Which is how to find out how much the limo costs to rent it.

In parallelogram EFGH, the measure of angle F is (3x − 10)° and the measure of angle G is (5x + 22)°. What is the measure of angle G?

42°
53°
117°
127°

Answers

Answer: 127 degrees

Step-by-step explanation:

I hope this helps

E                       F

H                     G

I had to write it out the parallelogram so I could have a better visual.

F and G are consecutive angles in a parallelogram (not on opposite sides).

This means they add to be 180 degrees.

F+G=180

(3x-10)+(5x+22)=180

(3x+5x)+(-10+22)=180

8x       +12=180

Subtract 12 on both sides:

8x           =180-12

Simplify:

8x           =168

Divide both sides by 8:

x              =168/8

x              =21

If x=21 and want the measurement of angle G, then

(5x+22)=(5*21+22)=127.

So angle G has measurement 127 degrees.

The the measure of angle G will be 127°. Then the correct option is D.

What is a parallelogram?

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

In parallelogram, the sum of the two adjacent angle is 180 degrees.

In parallelogram EFGH, the measure of angle F is (3x − 10)° and the measure of angle G is (5x + 22)°.


The angle F and angle G are the adjacent angle.

The sum of angle F and angle G is 180°.


             ∠F + ∠G = 180°

3x - 10 + 5x + 22 = 180

                      8x = 168

                        x = 21

Then the the measure of angle G will be

∠G = (5x + 22)°

∠G = (5 × 21 + 22)°

∠G = (105 + 22)°

∠G = 127°

The the measure of angle G will be 127°.

Then the correct option is D.

More about the parallelogram link is given below.

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Corey’s cat weighed 4 pounds. A year later, it weighed 175% of its previous weight. How much did Corey’s cat weigh after one year?

Answers

Answer:

7

Step-by-step explanation:

Answer:

the answer is 7 i got it right

Step-by-step explanation:

I NEED HELP ASAP. WILL GIVE BRAINLIEST.


A particle travels in a circle around a fixed point at 16 revolutions per minute. The linear velocity of the particle is 240π inches per minute.

What is the distance, in inches, between the particle and the fixed point?

3.75
7.5
15
30

Answers

Answer:

I believe it is 7.5

Step-by-step explanation:

v = wr

240 [tex]\pi[/tex] = (16)(2[tex]\pi[/tex])(r)

r = (240[tex]\pi[/tex]) / (16)(2[tex]\pi[/tex])

r = 7.5 inches

Why are the solutions to the proportions StartFraction 50 over x EndFraction = StartFraction 10 over 20 EndFraction and StartFraction 10 over 50 EndFraction = StartFraction 20 over x EndFraction the same? because both result in the equation 20 x = 500, which simplifies to x = 25 because both result in the equation 20 x = 500, which simplifies to x = 250 because both result in the equation 10 x = 1,000, which simplifies to x = 10 because both result in the equation 10 x = 1,000, which simplifies to x = 100

Answers

Given:

Two equations are

[tex]\dfrac{50}{x}=\dfrac{10}{20}[/tex]

[tex]\dfrac{10}{50}=\dfrac{20}{x}[/tex]

To find:

The reason for same solutions to the proportions.

Solution:

First equation is

[tex]\dfrac{50}{x}=\dfrac{10}{20}[/tex]

On cross multiplication, we get

[tex]50\times 20=10\times x[/tex]

[tex]1000=10x[/tex]

Divide both sides by 10.

[tex]\dfrac{1000}{10}=x[/tex]

[tex]100=x[/tex]

The second equation is

[tex]\dfrac{10}{50}=\dfrac{20}{x}[/tex]

On cross multiplication, we get

[tex]10\times x=50\times 20[/tex]

[tex]10x=1000[/tex]

Divide both sides by 10.

[tex]x=\dfrac{1000}{10}[/tex]

[tex]x=100[/tex]

Solutions to the proportions are same because both result in the equation 10 x = 1,000, which simplifies to x = 100.

Therefore, the correct option is D.

Answer:

D

Step-by-step explanation:

solve for a:5(a+2)-3(2a-5)=39

Answers

5(a + 2) -3(2a - 5) = 39
5a + 10 - 6a + 15 = 39
Combine liked terms
-a + 25 = 39
-25 on both sides
-a = 14
a = -14

Checking if a = -14, substitute it back into the equation
5(a + 2) -3(2a - 5) = 39
5(-14 + 2) -3(2(-14) - 5)) = 39
5(-12) -3(-28 - 5) = 39
-60 -3(-33) = 39
-60 + 90 = 39
39 = 39

Answer:
a = -14

What is the equation of a line that passes through the points (-4,2) and (-8,-3).

Answers

Answer:

[tex]y = \frac{5x}{4} + 7[/tex]  

I hope this helps!

it takes kirsten 2\3 hour to weed the garden how much of the garden will be weeded after 1\4 hour

Answers

Answer:

The answer is 3/8 Step-by-step explanation: apex

Use the table below to answer questions 1-4. MINUTES 0 3 6 a 12 WORDS TYPED 120 2 360 480 1 point 1. Kenny is practicing for a typing test to obtain a job as a paralegal. The number of words he can type is proportional to the number of minutes. If the test is 18 minutes long, how many words will Kenny be able to type?​

Answers

Answer:

720

Step-by-step explanation:

Given the data:

Minutes ___0___3 ____6____a____12

W/typed__ 0___120 __ ____360 __480

If number of words typed is proportional to number of minutes

Word typed α number of minutes

Word typed = k * number of minutes

k = constant of proportionality

Take

120 = k * 3

k = 120/3 ; k = 40

If test is 18 minutes long ;

Word typed = k * 18

Word typed = 40 * 18

Word typed = 720

Do I just add them together?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yes you do need to just add them

Can somebody help me with these graphs please

Answers

Answer:

10 is B and D

9 is B,C, and D

is 2/3 divided by 5 is it grater than 1 less than 1 or equal to 1?

Answers

Answer:

it is less tha 1

Step-by-step explanation:

Answer:

Less than 1

Step-by-step explanation:

2/3 divided by 5 is 2/15 which is less than 1

pls help with year 8 maths

Answers

Answer:

a) 1

b)11

c)4

d)1

I hope it helps you...

Answer:

see explanation

Step-by-step explanation:

Given a point (x, y ) then its distance from the origin is

d = [tex]\sqrt{x^2+y^2}[/tex]

(a) (2, 3 ) , then

d = [tex]\sqrt{2^2+3^2}[/tex]

   = [tex]\sqrt{4 + 9}[/tex]

   = [tex]\sqrt{13}[/tex] ≈ 3.6 units ( to 1 dec. place )

------------------------------------------------

(b) ( - 5, 7 ) , then

d = [tex]\sqrt{(-5)^2+7^2}[/tex]

   = [tex]\sqrt{25+49}[/tex]

    = [tex]\sqrt{74}[/tex] ≈ 8.6 units ( to 1 dec. place )

-------------------------------------------------

(c) (- 1, 4 )

d = [tex]\sqrt{(-1)^2+4^2}[/tex]

   = [tex]\sqrt{1+16}[/tex]

    = [tex]\sqrt{17}[/tex] ≈ 4.1 units ( to 1 dec. place )

------------------------------------------------------

(d) (- 4, - 5 ) , then

d = [tex]\sqrt{(-4)^2+(-5)^2}[/tex]

   = [tex]\sqrt{16+25}[/tex]

   = [tex]\sqrt{41}[/tex] ≈ 6.4 units ( to 1 dec. place )

Your cousin plays point guard for her community basketball team. When she plays in a game, four out of every seven baskets she scores for her team are lay-ups.

If your cousin scores fourteen baskets for her team at Saturday night's game, how many were lay-ups?

If, during the course of the season, your cousin scores one hundred nineteen baskets for her team, how many were lay-ups?

If, during a month of playing in basketball games, your cousin makes twenty four lay-ups, how many total baskets did she score for her team?

Answers

Answer:

Step-by-step explanation:

8

because if you devide 14 by 7 you get 2 so you times 4 by 2 and get 8

Answer:

1. 8 are lay ups

2. 68 are lay ups.

3. She scored 42.

Step-by-step explanation:

Which transformation takes Figure A to Figure B in Pair 2:
• translation
• rotation
• reflection
Explain your reasoning:

NEEDED ASAP!!

Answers

Answer:

reflection

Step-by-step explanation:

if you look at it, its like its mirrored itself, so its reflection

The roots of a quadratic equation are 6 and -3. Which of the following quadratic equations has these roots?

A.x ² − 3 − 18 = 0

B.x ² + 3 + 18 = 0

C.x ² − 3 + 18 = 0

D. x² + 3 − 18 = 0

Answers

B is the answer so yeaaaaaa

Pointed teeth help tear apart food, and large, flat teeth are used to grind food. Based on this information, what types of teeth are characteristic of animals that eat plants and animals that eat other animals? Plz Help ASAP

Answers

Answer:

the meat eating animals need the pointed teeth and the flat teeth. the animals that eat plants only need the flat teeth

What is the definition of a quotient?

Answers

Answer:

When two numbers get divided, they form a number, this newly formed number is the definition to QUOTIENT.

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

In mathematical terms, quotient is the value that is created after quantities have been divided.

For example, if you are asked:

What is the quotient of 24 divided by 6?

[tex]6\sqrt{24}[/tex]

The answer/quotient would be 4.

2. What is the slope of the line through the points (-6, 3) and (-7,-4)?

a. 3/1

b. 1/7

c. 1/3

d. 7/1

Answers

D


Hope it helps. Pls mark as brainliest

The required slope of the line through the points (-6, 3) and (-7,-4) is m = 7.


Given that,
To determine the slope of the line through the points (-6, 3) and (-7,-4).

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the line is given by,
m = (y₂ - y₁) /  (x₂ - x₁)
Substitute the point in the above equation,
m = 3 + 4/ -6 + 7
m =7 / 1
m = 7

Thus, the required slope of the line through the points (-6, 3) and (-7,-4) is m = 7.

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What is the domain of the following set of points? *
{(3,4), (7,-2), (11, -8)}

Answers

Answer:

{3,7,11}

Step-by-step explanation:

Domain is all of x-values. In case of this problem, it is 3,7,11.

What is 4% of 50% of 5 ?​

Answers

Answer:

0.1

Step-by-step explanation:

1. Convert percents to decimals.

0.04, 0.5

2. Solve.

(0.04)(0.5)5

0.1

Answer:

0.1

Step-by-step explanation: Solve from right to left using multiplication.

50% = 1/2

5 x 1/2 = 2.5

4% = 0.04

2.5 x 0.04 = 0.1 :)

Which of the following pairs of angles are
complementary?
A. 24° and 66°
B. 56° and 124°
C. 24° and 66°; 34° and 56°
D. 56º and 124°; 66° and 114°

Answers

Answer:

C.

Step-by-step explanation:

Complementary pairs add up to 90 degrees.

24+66=90.

34+56=90.

Need help ASAP Tysm!

Answers

The answer is
-12k+24

Answer:

Step-by-step explanation:

35

Suppose that the function f(x)=5.32+0.80x represents the cost of mailing an
object that weighs x pounds. How much would it cost to mail an object that
weighs 35 pounds?

Answers

Answer:

$33.32

Step-by-step explanation:

f(x)=5.32+0.80(35)

    =5.32+28

    =$33.32

The required cost of mail of the object of 35 pounds is $33.32.

Given that,
f(x)=5.32+0.80x represents the cost of mailing an object that weighs x pounds.
To determine how much would it cost to mail an object that weighs 35 pounds.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
function f(x) represents the cost of mail of x weigh object,
Now for the x = 35
f(x) = 5.32 + 0.80 * 35
f(x) = 5.32 + 28
f(x) = 33.32

Thus, the required cost of mail of the object of 35 pounds is $33.32.

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add 732+89,431+5,341+6​

Answers

732+89,431=90,163
90,163+5,341=95,504
95,504+6=95,510
Answer: 95,510


What is 3 2/5 + 2 1/10?

Answers

Answer [tex]\frac{11}{2}[/tex]

Step-by-step explanation:

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