Two of your friends go bowling. One friend rents a pair of bowling shoes for $3 and bowls 3 games. The other friend brings his own bowling shoes, bowls 4 games and buys a soda for $0.50. Both friends spend the same amount of money. Show how you can write and solve an equation to find the cost of one game.

Answers

Answer 1

Answer: The cost of each game is $2.50

Step-by-step explanation:

Let's find the equations for each friend:

Friend 1:

Pays $3 for the shoes, and plays 3 games, then if X is the cost of each game, Friend 1 pays a total of:

$3 + 3*X

Friend 2:

This friend buys a soda for $0.50, and he plays 4 games, remember that the cost of each game was X. then this friend pays:

$0.50 + 4*X

And we know that both friends pay the exact same amount, then we can write:

$3 + 3*X = $0.50 + 4*X

And solve this for X.

We need to isolate X, then we can move all the terms with X to the right, and all the terms without X to the left:

$3 - $0.50 = 4*X - 3*X

$2.50 = (4 - 3)*X = X

This means the cost of each game is $2.50


Related Questions

What is the range of the function f(x)=2x−4 when the domain is {-3, 0, 4}?

Answers

I found: Domain: all real x ; Range: all real y

A company makes spherical tanks that store chemicals. Their standard model has a diameter of 6 meters, but a customer needs a larger tank whose capacity is 2.5 times the volume of the standard model. What is the approximate diameter of this larger tank? Round to the nearest tenth.​

Answers

Answer:

The approximate diameter of the larger tank is 8.10 meters

Step-by-step explanation:

Here, we want to calculate the diameter of the larger tank

The volume of a sphere

V = 4/3 * π * r^3

Let us calculate the volume of the standard model

That will be;

Since diameter is 6 and r = d/2

r = 6/2 = 3 meters

V = 4/3 * π * 3^3 = 36 π m^3

Now, the volume of the larger tank is 2.5 times of this;

The volume of the larger tank is 2.5 * 36 π = 90 π m^3

So we can calculate the radius of this before we calculate its diameter

4/3 * π * r^3 = 90 π

4r^3/3 = 90

r^3 = 270/4

r^3 = 67.5

r = 3x√(67.5)

r = 4.07 m

Diameter here is 2 times this

= 4.07 * 2 = 8.14

Answer:

8.1

Step-by-step explanation:

determine the slope of the table

Answers

Answer:

The slope is -1/2 or -0.5

Hope this helps!

Answer:

The slope is 5

Step-by-step explanation:

if you add 2 to -3 then you get your answer

SOMEONE pLZ HELP ME SOLVE THIS IM GETTING so MADDD

Answers

Answer:

Vertex Form: y= 2(x−1)^2−7

Step-by-step explanation:

I believe this is correct

hola me gusta la matematicas

Answers

Answer:

that is spanish for "hello, i like mathimatics"

Step-by-step explanation:

it is

Answer: Do you want a translation? If you do, it says, "Hello, I like Mathematics."

Step-by-step explanation: I know spanish.

Please helpp!!

A model car is for sale online. The owner discounts the price by 5% each day until it sells. On the third day, the car sells. If the original price of the model car was $40, how much did the car sell for to the nearest cent? What percent discount does this represent from the original price? Round to the nearest whole percent.

Answers

Answer:

2

Step-by-step explanation:

Solve this pls. WILL AWARD BRAINLIEST TO BEST ANSWER!!!!!

Answers

Answer: 31.18

Step-by-step explanation:

The problem is focused on mainly the right triangle made up of points M, Q, and R.  This problem can be solved with the base formula, b = a · tan(β) where a = the length of line MR, β = m∠MQR, and b is the unknown length of RQ.  

Given:

RQ = 18 · tan(60°)

Point M is the midpoint of line PM and line MR.  Since MP is equal to 18, MR has to be 18 as well.  This means that the value of a is 18.

The vertex of ∠MQR is Q, which is 60°.

Step 1: Find the tangent of 60°

The tangent of 60° is √3

Step 2: Solve

RQ = 18 · √3

18 · √3 = 31.18

RQ is equal to 31.18

Calliope Is going to buy a television for $1349. If sales tax is 8%, find the price of the television including tax.

Answers

Answer:

The price including tax is $1,456.92

Step-by-step explanation:

First we need to convert our percentage into a decimal.

0.08

Now we need to multiply our price by the sales tax.

$1,349.00 × 0.08 = $107.92

Our sales tax is $107.92.

Added to our price it's $1,456.92.

I NEED HELP ASAP PLEASE HURRY

Marc wants to buy a bestselling book and a DVD of the movie based on the book. He has $30 to spend. Find the estimated total cost of the two items by rounding their prices to the nearest dollar. Will Marc be able to purchase both items with the money he has?

Prices, including taxes: Book: $10.58 and DVD: $19.50

The estimated total to the nearest dollar is $29, so he can afford both items.
The estimated total to the nearest dollar is $31, so he can afford both items.
The estimated total to the nearest dollar is $29, so he cannot afford both items.
The estimated total to the nearest dollar is $31, so he cannot afford both items.

Answers

Answer:

The estimated total to the nearest dollar is $31, so he cannot afford both items.

Step-by-step explanation:

10.58 rounded is 11

19.50 rounded is 20

11+20=31

Answer:

I think it would be last one. Based on the idea that 10.58 would round up to 11.00, and the DVD would add up to 20.oo

that would equal 31.00, and he only has 30.00 to spend.

So I would say D.

Step-by-step explanation:

(x) = 3x + 5, what is the value of f (5)?

Answers

Answer:

the answer is 20 .put the 5 in place of x                                                                          

and u always remember that f(5) =f(x)

Step-by-step explanation:

AHH HELP-

solve for y.
-2x + y = 5

what does y equal and how did you solve it?

Answers

Answer:

x = - 5 +  Y        _     _        2     2

Step-by-step explanation:

I just moved all terms that don't contain x to the

right side and solved!

Hope this Helps!

if f(x)= x^2 and g(x) = 4f (x)-1 then which of the following is the value of g (-3)

view image below to see answer choices

Answers

Answer:

27

Step-by-step explanation:

Given

f(x)= x^2-2 and g(x) = 4f (x)-1

g(x) = 4(x^2-2) - 1

g(x) = 4x²-8-1

g(x) = 4x²-9

Get g(-3):

g(-3) = 4(-3)²-9

g(-3 = 4(9) - 9

g(-3) = 36-9

g(-3) = 27

A mayor estimates that 4,000 people will attend the first day of the county fair. A total of 8,400 people actually attend the first day of the fair. What is the percent error of the mayor’s estimate? Round the answer to the nearest tenth percent, if necessary.

Answers

Answer:

110%

Step-by-step explanation:

4000   100

8400     ?

8400x100

   4000

210% of the expected people showed up

HELP MATH STIKES AGAIN!
Hotel A hotel charges $140 per night for the first two people and $10 for each additional person. Hotel B charges $80 per night for the first two people and $20 for each additional person. At how many additional people per night is the rent for the two rooms the same.
I will mark brainlyist for correct answer

Answers

Answer:

9

Step-by-step explanation:

18 vocabulary words learned in 2 hours; 27 vocabulary words learned in 3 hours

Answers

Answer: They are equivalent

Step-by-step explanation:

Here is the complete question:

18 vocabulary words learbed in 2 hours 27 vocabulary words learned in 3 hours Are they equivalent? Why

From the question, we are informed that 18 vocabulary words are learned in 2 hours. The number of words learned per hour will be:

= 18/2

= 9 words per hour.

27 vocabulary words learned in 3 hours. The number of words learned per hour will be:

= 27/3

= 9 words per hour.

Since they both have identical number of words learned per hour, it means that they're equivalent.

I need an answer to What is: p - 10 = 5

Answers

Answer:

P would be substituted with 15, so the equation would be accurate

Step-by-step explanation:

Original price: $10 New price: $7
Is it a discount,
Or a mark up.

Answers

Answer:

discount

Step-by-step explanation:

goes under og price

Answer: 17

Step-by-step explanation:

3) FUNDRAISING At a fundraising event, $10 is donated for every mile ran.
Write a function to represent the situation. *
A. O d-10m
B. O d= m + 10
C. O d=10m +10
D. O dem

Answers

Answer:

A

step-by-step explanation:

"d" I take it means donations or amount donated so if it's 10 per mile ran or 10m then you would write the equation as d=10m so it's A. Hope You found this helpful :D

A function that represents the situation is d = 10m.

The correct option is A.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

At a fundraising event,

$10 is donated for every mile ran.

Let m be the number of miles.

And d is the total donation.

So, the function,

d = 10m

Therefore, d = 10m is the function.

To learn more about the function;

brainly.com/question/28303908

#SPJ5

i have the coronavirus

Answers

That’s swag

I have Squidarooni disease

Answer:

Ok-

Step-by-step explanation:

Solve each equation mentally for x.

5/2 • x = 1

Your answer must be in the form of a fraction.

Answers

x = 2/5

5/2x2/5=1
good luck

You need to get x by itself to solve

So to get rid of 5/2, you need to multiply both sides by the reciprocal or 2/5...

5/2*2/5 = 1 which we don't write and 1*2/5 =  2/5

So now you'd have x =2/5

3(4x+8) + 3(2x - 6)
Match the equivalent expressions

Answers

Answer:=18x+6

Step-by-step explanation:

3(4x+8)+3(2x-6)

12x+24+6x-18

12x+6x+24-18

18x+6

If f(x)=2(x-3)x4, what is f(-2)? PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

-160

Step-by-step explanation:

All you have to do is substitute -2 for all values of x!

Is that last x raised to the power of 4 (looks like [tex]x^4[/tex])?

If so, the equation is:

[tex]f(-2)=2(-2-3)(-2)^4[/tex]

2(-5)(16)

-10(16)

-160

Write the equation of the graphs which have m=2, c = 1

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

formula for equation of graph:

[tex]y = mx + c[/tex]

substitute m = 2 and c = 1 into the equation

[tex]y = 2x + 1[/tex]

Step-by-step explanation:

please see it my step work solution


On Miss Gless iPhone, she has 400 songs 24 of those songs are country songs. What percent of her songs are not country?

Your answer:

help o_o

Answers

Answer:

94%

Step-by-step explanation:

He comprado 10 rotuladores que me han costado 8 euros cuento costara cada rotulador

Answers

Answer:

0,8 euros

Step-by-step explanation:

Según la pregunta, 10 rotuladores cuestan ocho euros.

Ahora si

10 rotuladores cuestan 8 euros

1 marcador cuesta 1/10* 8 = 0,8 euros

Por tanto, cada marcador me costó 0,8 euros

Which of the following numbers is between 0.40 and 0.47?
A) 7/50
B) 19/50
C) 21/50
D) 43/50

Answers

Answer:

C. 21/50 because 21/50 written in a decimal is 0.42

hii please help mee urgent :)

Answers

Answer:

The answer is C.

explanation:

The reason for answer (C) is because when looking for a function the (X) value cant repeat, but the (Y) can. In answer (C) the x-value 19 repeats.

sorry if its wrong, but pretty sure im right.

plz help i will mark you as brainlist

Answers

Answer:

C. Six is to the left of the zero and negative six is to the right.

Step-by-step explanation:

Simple, think of a number line and zero is in the middle, to the left there is positive numbers, like six, and to the right there is negative six.

I’m pretty sure it’s A

level 2 record the letters in your triangle from left to right

Answers

I'm sorry, but this question is not provided with enough information in order for it to be answered

Answer:

EGBFDHAIC

Step-by-step explanation:

Lol i did this before hope this helps!!

What is 12 1/2 x 4 2/3

Answers

Answer:

174 1/3

Step-by-step explanation:

Answer:

175

Step-by-step explanation:

because may i pls have brainlest

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