the cost to go bowling is a function in terms of the number of games bowled. the cost to bowl 2 games with a shoe rental is $16.50. the cost to bowl 4 games with a shoe rental is $28.50. what is the cost of renting shoes?

Answers

Answer 1

Answer:

x = cost of games bowled = $6

y = cost of shoe rental = $4.50

Step-by-step explanation:

Let

x = cost of games bowled

y = cost of shoe rental

2x + y = 16.50 (1)

4x + y = 28.50 (2)

Subtract (1) from (2) to eliminate y

4x - 2x = 28.50 - 16.50

2x = 12

x = 12/2

x = 6

Substitute x = 6 into (1)

2x + y = 16.50 (1)

2(6) + y = 16.50

12 + y = 16.50

y = 16.50 - 12

y = 4.50

x = cost of games bowled = $6

y = cost of shoe rental = $4.50


Related Questions

complete the missing parts of the table for the following function y=4x​

Answers

Answer:

4, 64

Step-by-step explanation:

y = [tex]4^{1}[/tex] = 4

y = [tex]4^{3}[/tex] = 64

What is geometric mean of 4 and 32???????​

Answers

Answer: 18

Step-by-step explanation:

I just found the number in between  

Answer:

8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{4(32)}[/tex]

= [tex]\sqrt{128}[/tex]

= [tex]\sqrt{64(2)}[/tex]

= [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex]

= 8[tex]\sqrt{2}[/tex]

A spinner used in a board game is divided into 12 equally sized sectors. Seven of these sectors indicate that the player should move his token forward on the board, three of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board. The total area of the sectors that do not allow the player to move his token is 45.1 inches squared. What is the radius of the spinner

Answers

Answer:

9.3 inches

Step-by-step explanation:

The computation of the radius of the spinner be given below:

Let us assume the same be x

So

We know that

Total area of the sector = one-sixth of the total area of the spinner

Given that

45.1 =  1 ÷ 6 × π × r^2

r^2 = 45.1 × 6 ÷ π

r^2 = 86.1

r = 9.279

= 9.3 inches

PLEASE HELP ASAP!! EXPLANATION = BRAINLIEST! THANK YOU SO SO MUCH

A model of Spaceship Earth, a major tourist attraction at Epcot Center in Florida, is a sphere whose diameter is approximately 5 inches.

The volume of the model sphere is approximately ___ cubic inches.

Use 3.14 for pi. Round only your final answer to the nearest hundredth.

Answers

Answer:

See below.

Step-by-step explanation:

As the diameter is 5 inches, the radius “r” is 5/2 = 2.5 inches.

We calculate the volume of a sphere as follows: [tex]V = 4/3 \pi r^3[/tex]

As we have to use 3.14 for pi, we’ll use that instead of “true” pi.

The formula becomes:

[tex]V = 4/3*3.14*2.5^3 = 65.42[/tex]

The volume of the sphere is 65.42 cubic inches.

Find the value of x with the other angles of 33 and 99

Answers

Answer:

48°

Step-by-step explanation:

33+ 99= 132

180 is the sum of all angles so u would subtract 132 from 180 giving you the answer

Answer:

If x is the last angle of a triangle, x=48. is its a just angles its, x=228.

Step-by-step explanation:

If it's a triangle its because triangle sum theorem states that all angles in a triangle add up to 180 degrees. So add the angles you know an subtract it from 180.

If it's just angels then you just need to again, add the angles you know but this time subtract it from 360 as that's he most degrees an angle can go.

Two angles are supplementary. One angle has a measure of 51 degrees. What is the measure of the second angle?

Answers

Answer:

129°

Step-by-step explanation:

Sum of supplementary angles = 180°

One angle = 51°

Other angles = 180° - 51°

                      = 129°

Plz mark as brainliest!!!!!

HELP!! An apartment building is infested with 6.2 x 10^3 rats. on average each of these rats produces 5.5 x 10^1 offspring each year. assuming no rats leave or die, how many additional rats will live in this building one year from now? write your answer in standard form.

Answers

The additional rats will live in this building one year from now is 3.41 x 10^5.

What is the additional number of rats?

Standard form is used in expressing large numbers in smaller numbers. In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

(6.2 x 10^3) x ( 5.5 x 10^1) = 34.10 x 10^4

= 3.41 x 10^5

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What is the length of the hypotenuse?

Answers

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

9^2+12^2=c^2

81+144=c^2

[tex]\sqrt{225[/tex]=c

15=c

5x+8y=-12 3x+5y=-7 what is the solution

Answers

Answer:

[tex]5x + 8y = - 12 - - - (a) \\ 3x + 5y = - 7 - - - (b) \\ 3\times (a) - 5 \times (b) : \\ = > 0x - y = - 1 \\ y = 1 \\ 3x + 5 = - 7 \\ 3x = - 12 \\ x = 4 \\ { \boxed{x = - 4}} \\ { \boxed{y = 1}}[/tex]

X = -4 Y = 1 are the answers ifkffjdjskvisjnencjdnsn

HELP!!!! ASAP
NO LINKS!!!!

Answers

Answer:

17.98

Step-by-step explanation:

We can use the sum of a finite geometric series formula(in the picture). We can start by plugging in what we have. As of now, we have the first term, 12 and by dividing a term by a previous term, we can tell that the common ratio, r is 1/3. Lastly, we can say that n is equal to 6, because we are looking for the sum of the first 6 terms. After substituting we get:

[tex]\frac{12 - 12*(\frac{1}{3})^6}{1-\frac{1}{3} }[/tex]

We can start by simplifying:

[tex]\frac{12-12(\frac{1}{729}) }{\frac{2}{3} }[/tex]

[tex]\frac{\frac{2916}{243} -\frac{4}{243} }{\frac{2}{3} }[/tex]

[tex]\frac{\frac{2912}{243} }{\frac{2}{3} }[/tex]

[tex]\frac{2912}{243}*\frac{3}{2}[/tex]

[tex]\frac{1456}{81}[/tex]

17.975308642

This can be rounded to 17.98

Answer:

17.98

Step-by-step explanation:

Given:

a₁ = 12r = 1/3n = 6

Find the sum:

Sₙ = 12(1 - (1/3)⁶)/(1 - 1/3) = 12(1 - 1/729) / (2/3) = 18(728/729) = 17.98 rounded

Javi has a bag of marbles that are identical in size. He has 6 red, 4 blue, 7 yellow, and 3
orange marbles. If he draws out two marbles from the bag without replacement, what is the
probability that the first one is red and the second one is orange?

Answers

Answer: 50

Step-by-step explanation:

40% of 50 is 20.

We know that 20 of the 50 are plums.

below is just other bits of the problem

There's 30 fruit left.

We know that the ratio for peaches to apricots is 2:3.

If we add 2 and 3 together we get five.

Five divides into 30 six times.

Meaning, we could have 18 apricots, and 12 peaches.

Add all of these numbers together, and you get 18 apricots, 12 peaches, and 20 plums.

18 + 12 + 20 = 50

:>

Feeling cool today, here’s a math riddle!

My twin lives at the reverse of my house number. The difference between our house numbers ends in two. What are the lowest possible numbers of our house?

Answers

Answer:

19 and 91

Step-by-step explanation:

The eight pair (81,18) and 63 is result. The ninth pair(91,19) and finally answer is "72". Here, we get the pair (91,19) in which we get 2 at unit place digit and 19 and 91 are the lowest possible numbers of hous

Jenny has 3 times as many new toys as she has favorite toys. The total number of toys is 60. How many favorite toys might Jenny have?

Answers

Answer:Jenny has 15 favorite toys

Step-by-step explanation:

Jenny has 3 times as many new toys as she has favorite toys means that the ratio of new toys to favorite toys can be written as 3:1

Total Ratio=3+1=4

Since the total number of toys is given as 60

Amount of Favorite toys = ratio of favorite toys / Total ratio x Total number of toys

Amount of Favorite toys = 1/4 x 60=15

Therefore Jenny has 15 favorite toys.

6.
Which of the quadratic functions has the narrowest graph?


A. y = –x2

B. y = 4x2

C. [tex]y=\frac{1}{4} x^2[/tex]

D. [tex]y=\frac{1}{9} x^2[/tex]

Answers

Answer:

B. y = 4x2

Step-by-step explanation:

Answer: The quadratic function y=4x^2 has the narrowest graph.

I just need help with first 2! Show work please it’s due soon and round answers to the nearest tenth !!!

Answers

Answer:

1. To find the volume of a cylinder you'll need to use the formula V = pi(r)^2(h)

V = pi(4)^2(6)

V = 301.59

Rounded* = 301.6

2. A beach ball is a sphere, so we're going to use the formula 4/3pi(r)^3

4/3pi(18)^3

D =  24429.02

Rounded* = 24429.0

I cant read the last one completely, hope this helps.

Quick question: if I post my final exam for geometry is someone willing to help me pass. This is my second time doing this final?

Answers

Answer:

sure

Step-by-step explanation:

gagaggagagagagagagga

How much did he originally deposit??

Answers

Answer:

$200

Step-by-step explanation:

200/5=40

40x5=200

To solve, you multiply the interest by the interest rate

This gets you the total. The interest is also seperate amount so he now has $240

PLEASE HELPPP PLEASEE

Answers

Answer:

Step-by-step explanation:

yes

hey! i’ll give brainliest please help

Answers

Step-by-step explanation:

I'm guessing

second one

removing some of the sentences

Answer:

changing the sentence pattern

Step-by-step explanation:

I hope you have a great day :)

Which value(s) of x are solution(s) of the equation below

Answers

Answer:

x =-1 , x=4

Step-by-step explanation:

[tex]\frac{1}{x-4}+\frac{x}{x-2}=\frac{2}{x^2-6x+8}\\\\\mathrm{Multiply\:by\:LCM=}\left(x-4\right)\left(x-2\right)\\\\\frac{1}{x-4}\left(x-4\right)\left(x-2\right)+\frac{x}{x-2}\left(x-4\right)\left(x-2\right)=\frac{2}{x^2-6x+8}\left(x-4\right)\left(x-2\right)\\\\Simplify\\\\x-2+x\left(x-4\right)=2\\\\Solve\\\\x=4,\:x=-1[/tex]

Answer:

[tex] \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{ {x}^{2} - 6x + 8} \\ \\ \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{(x - 4)(x - 2)} \\ \\ \frac{(x - 2) + x(x - 4)}{(x - 4)(x - 2)} = \frac{2}{(x - 4)(x - 2)} \\ \\ x - 2 + {x }^{2} - 4x = 2 \\ \\ {x}^{2} - 3x - 4 = 0 \\ (x - 4)(x + 1) = 0 \\ x = 4 \: \: and \: \: x = - 1[/tex]

Andrew pays $15 for a haircut . He leaves a 20% tip. What is the total amount andrew pays for the haircut, including the tip?

Answers

Answer:

$18.00

Step-by-step explanation:

Start by working out 10%, that's easy:

15 ÷ 10 = 1.5

That means a 10% tip would be $1.50, so a 20% tip would be twice that amount:

1.50 x 2 = 3

A 20% tip is $3.00, and added on to the original $15.00, the total is $18.00

Solve 24n=72

Pls help!!!

Answers

Answer:

n = 3

Step-by-step explanation:

Divide both sides by 24:

n = 72 / 24

n = 3

12. Three-fifth of senior students are girls;
a) What is the fraction of boys?
b) If there are 120 boys, how many girls are there?​

Answers

Answer:

There are 72 girls

Step-by-step explanation:

3/5 = 60%

So 60% of 120 is 72

Hope this helps!

what is the value of x, if x = 3²
Show Explanation
A. 32
B. 9
C. 8
D. 6​

Answers

Answer:

9

Step-by-step explanation:

x = 3^2

x = 3*3

x = 9

Answer: . 9

Step-by-step explanation:

Simplify both sides of the equation.

find the missing sides of the triangle

Answers

Answer:

D

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{f}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

f = 24

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

Using the cosine ratio and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{e}{f}[/tex] = [tex]\frac{e}{24}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2e = 24[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

e = 12[tex]\sqrt{3}[/tex]

Answer:

F=24 and e=12[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Please help!!!! Giving brainliest and extra points!!!! (Click on the photo)

Answers

Answer:

i dont understand the question much cuz its only told berries so i think is both rasberry and strawberry

Step-by-step explanation:

if so here my solve: Both berries are 38% of the graph, we have equation 38%×290 = 110,2

hmmmm maybe the ans is D. 110

HELPPPPPPP PLEASE HELPPPPPPPPPPPPP IM BEGGING SOMEONE PLEASE HELP

Answers

180-55= 125 bc the whole is 180 just subtry

Find the area of the shaded region.
800
5 cm
A=[?] cm2
Enter a decimal rounded to the nearest tenth.
Enter

Answers

If the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.

Given that the radius of the circle is 5 cm and central angle is 80°.

We are required to find the area of the shaded region.

The area of the shaded region is basically the difference between the area of the whole circle and the area of the arc which is not shaded.

Area of circle=π[tex]r^{2}[/tex]

=3.14*25

=78.5 [tex]cm^{2}[/tex]

Area of the arc =([tex]r^{2}[/tex]Θ)/2

=(25*80π)/2*180

=(25*80*3.14)/360

=6280/360

=17.44

Area of the shaded region=78.5-17.444

=61.056

After rounding off to the nearest tenth it will be as under:

=61.06

Hence if the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.

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Shanices school is selling Tickets to the annual talent show. On the first day of ticket sales the school sold 5 adult tickets and 8 child tickets for a total of $102. The school took in $39 on the second day by selling 2 adult tickets and 3 child tickets. Find the price of an adult ticket.

Answers

Answer:

Children tickets = $9

Adult tickets= $6

PLEASE HELP*** (picture attached)

Answers

Answer:

i remember doing this but i forgot the answers

Step-by-step explanation:

sorry :(

Answer:

0,0 means the origin so put place it on the origin.

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