Change the word sentence into a mathematical equation. Tell what each variable represents.
1. A music club membership costs $17.00 and $7.00 per CD.
2. The total cost of a carpet is $3.00 times the number of square feet.
3. The amount of money you earn for allowance is $20 times the number of months.
4. The cost of belonging to a fitness club is $200 to join and $30 a month in membership dues.

Answers

Answer 1

Answer:

1. $17 + $7C.

This equation provides the total cost if you want to purchase a music CD along with a music club membership. C represents the amount of CDs you wish to purchase, and since each CD costs $7, the amount of money you would need to purchase C amount of CDs is $7C.

2. $3A.

This equation provides the total cost of the area of carpet you want to purchase. A represents the area of the carpet that you want to purchase, measured in square feet as provided by the question, and since each square foot costs $3, the total cost is $3A.

3. $20M.

This equation provides the total money you earn for allowance after M months. M is the number of months that have passed, and since you earn $20 for allowance every month, the total allowance you have earned is $20M.

4. $200 + $30M.

This equation provides the total cost for joining and staying in a fitness club for M months. The initial cost, $200, is applied no matter how many months you join, so we add it from the start; since each month, M, you have to pay $30, the total amount of membership dues is $30M.

Step-by-step explanation:

Hope this helped!


Related Questions

Steven and Brittney are both starting lawn mowing businesses to save money to buy a dog. Steven charges $20 a yard and $6 an hour. Brittney charges $28 a yard and $5 an hour. How many hours will they need to work to have the same amount of money? If the cost of the dog is $300, who will be able to buy it first? Pick two correct statements only.
1. 8 hrs to have the same amount of money
2. 18 hrs to have the same amount of money
3. Brittney will be able to buy the dog first
4.Steven will buy will be able to buy the dog first

Answers

Answer:

https:brainly.com/question/20068899

please help me I have until Monday to do 82 questions ​

Answers

Answer and Step-by-step explanation:

We are solving for x.

A)

Multiply each side by 5 to get x by itself.

x = 15

B)

Multiply each side by 2 to get x by itself.

x = 17

#teamtrees #WAP (Water And Plant)

If m ∠ 1 = 101, what is the value of X?

Answers

The value of x is the value of x :)

A wireless company offers two cell phone plans. For the month of September, Plan A charges $35 plus $0.25 per minute for calls. Plan B charges $20 plus $0.50 per minute for calls. For what number of minutes do both plans cost the same amount?

Answers

Answer:

60 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

For Plan A

Plan A charges $35 plus $0.25 per minute for calls.

$35 + $0.25 × x

35 + 0.25x

For Plan B

Plan B charges $20 plus $0.50 per minute for calls.

$20 + $0.50 × x

20 + 0.50x

For what number of minutes do both plans cost the same amount?

This is calculated by equating Plan A to Plan B

Plan A = Plan B

35 + 0.25x = 20 + 0.50x

Collect like terms

35 - 20 = 0.50x - 0.25x

15 = 0.25x

x = 15/0.25

x = 60 minutes.

Hence, the number of minutes that both plans cost the same amount is 60 minutes

Help look at the picture attached and I will mark brainliest !:)

Answers

Answer:

A = 1120

Max # of ppl = 80

Step-by-step explanation:

A = 28*40

A = 1120

Max # of ppl = 1120/14

Max # of ppl = 80

hope this helps, pls mark brainliest :D

Answer:

around 450

hope that helps,but you'll have to be there to fully answer that question

:)

write the fraction as a mixed number
31/6
20/10
15/8
13/6
pls answer my dad is gonna hit me

Answers

LOL that was funny but write which fraction as a mixed number ?
31/6 will be 5 1/6
20/10 will be 2
15/8 will be 1 7/8
13/6 will be 2 1/6

Two shops sell the same phone. In both shops it is £196. One shop increases the price by 17.5%. The other shop increases the price by 22.5%. Calculate the difference between the new prices of the phone in the two shops.

Answers

Step-by-step explanation:

the 1st shop=196-(17.5/100×196)

=196-34.3

=161.7+196

=357.7

the 2nd shop=196-(22.5/100×196)

=196-44.1

=151.9+196

=347.9

so the difference between two shop is

357.7-347.9=9.8

Melissa had $20 to purchase candy for a party. She purchased 3.6 pounds of candy that cost $2.50 per pound. How much money does Melissa have remaining after this purchase?

Answers

Answer:

1738

Step-by-step explanation:

Melissa has $11 remaining after purchasing 3.6 pounds of candy that cost $2.50 per pound.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Melissa had $20 to purchase candy for a party.

She purchased 3.6 pounds of candy that cost $2.50 per pound

Melissa spent 3.6 x $2.50

= 9 on candy.

Subtracting this amount from her initial $20, we get:

$20 - $9 = $11

Therefore, Melissa has $11 remaining after purchasing 3.6 pounds of candy that cost $2.50 per pound.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

a cylindrical tank is a diameter of 14 m and a height of 3.5 m find the capacity of the water tank in litres​

Answers

v=pi.r^2.h

v=3.14×7×7×3.5

v=538.51 cubic meter

1cubic meter=1000 litre

so v=538510 litre

An amusement park reduced the admission price to $15.50 per day, but now charges $1.50 per ride. Mark has $26 to spend on admission and rides. Write an algebraic equation to find how many rides Mark can ride in one day.

Answers

Answer:

15.50 + 1.50x ≤ 26

Step-by-step explanation:

Given that:

Total amount to spend = $26

Admission fee = $15.50

Charge per ride = $1.50

Number of rides Mike can take in a day:

Let number of rides can take In a day = x

[Admission fee + (charge per ride * number of rides)] less than equal to total amount

15.50 + 1.50x ≤ total amount

15.50 + 1.50x ≤ 26

1.50x ≤ 26 - 15.50

1.50x ≤ 10.50

Divide both sides by 1.50

x ≤ 10.50 / 1.50

x ≤ 7

Hence, number of rides per day = 7

what is 30,000 rounded to the nearest ten thousand

Answers

Answer:

30,000_10,000=20,000

What is the common ratio for the sequence:
28, 14, 7, 3.5...

Answers

Answer:

r = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The common ratio r is calculated as

r = [tex]\frac{14}{28}[/tex] = [tex]\frac{7}{14}[/tex] = [tex]\frac{3.5}{7}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

1/2 is the common ratio of the sequence

Can someone please help me finding x and what is it? I would really appreciate it thank you!

Answers

x=19 because there is a set of parallel lines, the angles given are equal to each other. when solving for x combine the x terms and whole number terms, divide by 3 and the answer will be 19

In the figure, and bisect each other. The length of is 12 centimeters and the length of is 11 centimeters. The length of is centimeters and the length of is centimeters.
HURRY LAST QUESTION ON TEST!!!

Answers

Answer:

11 and 12

Step-by-step explanation:

AD is opposite BC so they're equal, and DC is opposite AB so they're the same.

Answer:

11, 12

Step-by-step explanation:

plato answer just took test

What is the exact value of tan ( 5 pi/8 )

Answers

Answer: Choice D) [tex]\tan\left(\frac{5\pi}{8}\right) = - \sqrt{\frac{2+\sqrt{2}}{2-\sqrt{2}}}\\\\\\[/tex]

===================================================

Explanation:

Make sure your calculator is in radian mode. Use your calculator to find that tan(5pi/8) = -2.41421 which is approximate.

Since the value is negative, this means the answer is between choices C and D. You can use your calculator to compute those expressions given and you should find it matches with choice D.

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

Further explanation:

We can apply the half angle identity for tangent like so

[tex]\tan\left(\frac{x}{2}\right) = \pm \sqrt{\frac{1-\cos(x)}{1+\cos(x)}}\\\\\\\tan\left(\frac{5\pi/4}{2}\right) = -\sqrt{\frac{1-\cos(5\pi/4)}{1+\cos(5\pi/4)}}\\\\\\\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{1-\left(-\frac{\sqrt{2}}{2}\right)}{1+\left(-\frac{\sqrt{2}}{2}\right)}}\\\\\\[/tex]

Simplifying further, we get

[tex]\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{1+\frac{\sqrt{2}}{2}}{1-\frac{\sqrt{2}}{2}}}\\\\\\\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{2+\sqrt{2}}{2-\sqrt{2}}}\\\\\\[/tex]

In the last step, I multiplied top and bottom of the outer fraction by 2 to clear out the denominators of the inner fractions.

Answer:

Answer D

Step-by-step explanation:

on edge 2023

PLEASE HURRY!!!!!!
If a=-3x-i and b=3, then find the value of the ab^(2)

in fully simplified form.

Answers

Answer:

Step-by-step explanation:

a= -3x-i

b= 3

[tex]b^{2}[/tex]=9

sooo..  a[tex]b^{2}[/tex] = (-3x-i )(9)

-27x -9i  

Caveat :     :/  if the i happens to be part of a complex number and the squared part is for the quantity (AB)^2  then it would change this answer ..but... I can't tell if that problem is about complex numbers or not, i'm guessing it's not

solve pls i will give u brainliest

Answers

okay so first you need to divide it up, then you solve 8x10=80
2^2+5^2= 5
therefore the answer is 85

Ast month when Holiday Creations Inc. Sold $50,000 units, total sales were $200,000. Total variable costs were $120,000 and total fixed costs were $65,000. So, the company's CM ratio will be

Answers

Answer:

40%

Step-by-step explanation:

The first step is to calculate the unit selling price

= total sales/number of units

= 200,000/50,000

= $4

The unit variable expense can be calculated as follows.

= total variable expense/number of units

= 120,000/50,000

= $2.4

The contribution margin per unit can be calculated as follows

=selling price per unit- variable cost.

= $4-$2.4

= $1.6

Therefore the contribution margin ratio can be calculated as follows.

= $1.6/$4

= 0.4×100

= 40%

Brandon is playing hide-and-seek with Katy and Tony. Katy is hiding 63 feet south of Brandon, and Tony is hiding due east of Katy. If Brandon is 87 feet from Tony, how far apart are Katy and Tony?

Answers

Answer:

60 feets

Step-by-step explanation:

Given that :

Using Pythagoras rule :

Hypotenus = sqrt(Adjacent^2 + opposite^2)

From the attached picture :

x² = 87^2 - 63^2

x^2 = 7569 - 3969

X^2 = 3600

Take the square root of both sides :

X = sqrt(3600)

X = 60 feets

Hence, Katy and Tony are 60 feets apart

−k+2(−2k−5) simplify

Answers

Answer:

-k-14

Step-by-step explanation:

Use distributive property and then just carry on and combine like terms.

Answer:

-5k - 10

Step-by-step explanation:

-k + 2 ( -2k - 5 )

= -k - 4k - 10

= -5k - 10

An expression with only one term is called a

Answers

Answer:

monomial

Step-by-step explanation:

PLEASE HELP ASAP ILL GIVE A LOT OF POINTS AND BRAINLIEST.

The slope of the table is:

Let x represent the number of acres and y represent the bushels of wheat. The equation for this relationship is:

Answers

Answer:

Y=28x

Step-by-step explanation:

Divide 420/15 224/8 140/5 which will equal 28 as the constant rate.

so, y=28x.    It would be y=kx but k =the constant so 28 will fill that spot in.

Y=28x

bonsoir ce que vous pouvez m aidez
je cherche des fraction égale a 4sur16

Answers

Answer:

1 sur 4 est équivalent.

Step-by-step explanation:

J'espère que cela aide !! Puis-je avoir la couronne?

4/16 et être réduit à 1/4!

ldentify the parent function.
A. Square root
B. Absolute value
C. Reciprocal
D. Cube root

Answers

It’s B. Absolute value

How do I do this?
also the first part that is answered is wrong

Answers

Answer:

i would say for the second one 2.5 and the first one about 30

Step-by-step explanation:

Suppose you were told that the company built the fence in 4 hours and that they completed 1.6 mile of the fence each hour. How would you use the double number line to help you find the length of the fence?

Answers

Solution  :

It is given that the time required by a company to built the fencing = 4 hours

The length of fenced completed in 1 hour = 1.6 mile

Now by using the double number line to find the length of the fence, we would :

-- We have to draw two parallel straight lines.

-- Let the 1st line represents the time measured in hours and the 2nd line represents the distance or length measured in miles.

-- Mark four marks of equal spacing in both the line so that each mark represents 1 hour in the 1st line and each mark in the 2nd line represents the corresponding lengths.

-- Now in hour, they completed 1.6 miles, therefore from the double number line, we can see that in 4 hours, they completed 4.6 miles of fencing.

Hence the length is 4.6 miles.

2x - 3x - 18 + -18 + 2x + 5x x= .....? A.X=4.5 B.X=0 C.X=6 D.X=-4.5 :) please help?

Answers

Answer:

-36+7x

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

First, simplify the equation by combining like terms on each side:

2x = 3x - 18 = -18 + 2x + 5x

-x - 18 = -18 + 7x

To solve the equation for x, the variable must be isolated on one side of the equal sign. Use the subtraction property of equality to subtract 7x from both sides. Then use the addition property of equality to add 18 to both sides:

-x - 18 - 7x = -18 + 7x - 7x

-8x - 18 = -18

-8x -18 + 18 = -18 + 18

-8x = 0

Finally, use the division property of equality to divide both sides by -8 and achieve the solution for x:

-8x/-8x = 0/-8

x = 0

The graph shows the solution of a system of equations.how many solutions does it have

Answers

Answer:

1

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing

Step-by-step explanation:

We will have 1 solution set when the lines cross once.

We will have no solutions when the lines are parallel.

We will have infinite solutions when the lines are the same.

According to the graph, we see that our lines only intersect once at 1 point. Therefore, there will be only 1 solution.

Answer:

1

Step-by-step explanation:

help me with this
3(2y+4c) use distributive property :)

Answers

Answer:

3(2y+4c) = 3 (x) 2y + 3 (x) 4c

*(x) = Multiplication!!!*

Step-by-step explanation:

The area of a rectangular warehouse measures 4,288 square feet. The width of the warehouse is 64 feet long. Draw a model to represent the problem, and then solve for the length of the warehouse.

Answers

Answer:

67 feet

Step-by-step explanation:

Step one:

given

The area of a rectangular warehouse measures 4,288 square feet

The width of the warehouse is 64 feet long.

Required:

the length of the warehouse

Step two:

The expression for the area of a rectangle is

A= L*W

so, for the situation

4,288= L*64

solve for L

divide both sides by 64

L= 4,288/64

L=67 feet

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