Sarah and Connor went bowling together. Sarah rented bowling
shoes and played three games, for a total cost of $9.50. Connor
rented bowling shoes and played five games, for a total cost of
$14.50.
How much does it cost to rent bowling shoes?

Answers

Answer 1

Answer: The cost to rent bowling shoes is $2.

Step-by-step explanation:

Let's define:

S = cost for renting bowling shoes.

G = cost per game.

Then if you rent shoes, and play x games, the total cost is:

C = S + x*G

We know that Sarah rented the shoes and she played 3 games, paying a total of $9.50, then:

C = $9.50 = S + 3*G

We also know that Connor rented the shoes and played 5 games, with a total cost of $14.50

C = $14.50 = S + 5*G

Then we have a system of equations.

$9.50 = S + 3*G

$14.50 = S + 5*G

To solve this, we first need to isolate one of the variables in one of the equations. I will isolate S in the first one:

S = $9.50 - 3*G

Now we can replace this on the other equation:

$14.50 = ($9.50 - 3*G) + 5*G

$14.50 - $9.50 = 5*G - 3*G

$5 = 2*G

$5/2 = G

$2.50 = G

Then each game costs $2.50

The cost to rent bowling shoes can be found with any of the two equations, for example i will use:

S = $9.50 - 3*G

Where we replace G by the value we found above.

S = $9.50 - 3*$2.50 = $2

S = $2.

The cost to rent bowling shoes is $2.


Related Questions

Differentiate f() = ( − cos()) sin()

Answers

Answer:

1

Step-by-step explanation:

f'(x) = -d(cos(x))/dx*sin(x) + d(sin(x))/dx * cos(x)

f'(x) = sin(x) * sin(x) + cos(x)*cos(x)

f'(x) = 1

I haven't got theta to comply with your request. The best I can do us use the word theta. x has exactly the same meaning, and the answer would be 1.

Help pls!!ty!!:))):):

Answers

Answer:

Step-by-step explanation:

y = 85x+90

3) 85*3+90 (rule)

y= 85*3 = 255 + 90 = 345  (output)

4) 85*4+90 (rule)

y = 85*4=  340 + 90 = 430 (output)

I think I found the area I need help finding the perimeter

Answers

24
Perimeter is amount out all sides added together.

Find: (i) (-3/5) + (-2/7) (ii) (-2/7) -
(-3/14) (iii) (- 4/ 9) = (- 2/3)​

Answers

Answer:

I. 1/5

II. -1/14

III. 2/9

Step-by-step explanation:

(i) (-3/5) + (-2/7)

Opening up the bracket;

3/5 - 2/5 =

Lowest common multiple (LCM) = 5

(3 - 2)/5

= 1/5

(ii) (-2/7) - (-3/14)

Opening up the bracket;

-2/7 + 3/14 =

Lowest common multiple (LCM) = 14

(-4 + 3)/14 = -1/14

(iii) (-4/ 9) = (- 2/3)

Rearranging the fraction, we have;

-4/9 + 2/3 =

Lowest common multiple (LCM) = 9

(-4 + 6)/9 = 2/9

Find x.

Please help! Oh

Answers

x = 8.5 because 8.5 x 2 = 17 and 17 + 1 = 18

Answer:

8.5

Step-by-step explanation:

18=2x+1

-1        -1

_______

17=2x

_    _

2     2

8.5=x

18 is 2% of what number?
A)
300
B)
600
900
D)
1,200

Answers

Answer:

A

Step-by-step explanation:

18 is 2% percentage of number 300

The price of an item yesterday was $85. Today, the price rose to $119. Find the percentage increase.

Answers

Answer:

40% increase

Step-by-step explanation:

Answer:

[tex] \frac{34}{85} \times 100 = 40\%[/tex]

Step-by-step explanation:

the increase is 119-85=34

the percentage increase would be 34/85 ×100%

=0.4×100%=40%

DEFG maps out Carrie’s dog walking route. If she does one complete loop, how far does she walk with her dogs?

Answers

Answer:

Step-by-step explanation:

Actually it’s 4 square root 17

PLS HELP BIG RESPONSE ALOT OF POINTS

Answers

Answer: Melanie has the most money at the end of the week.

Step-by-step explanation:

Melanie gets the 1 weekly allowance. But it could also depend on how much her weekly allowance is. Your bus rides aren't a lot, so riding the bus 7 times doesn't take much money. She also gets paid for 2 hours, so she could be working somewhere with more money being paid by the hour. While on the other hand, Dana could be working a minimum wage job and wasting more money, because she also pays for food. She could be on her own and have to spend more money for her needs and the things she would need. (And because it says Melanie gets 1 weekly allowance that means she still lives with her parents so they pay for her benefits and things she needs.)

Melanie has reg most money by the end of the week

Determine the multiplier in each situation below.

a. A 44% increase

b. A 93% decrease

Answers

Answer:

Step-by-step explanation:

%s can drive a person crazy.

44% increase

Cost = 100% * x + 44%x

Cost = x ( 100 / 100 + 44/100)

Cost = x (1 + 0.44)

Cost = 1.44 x

93% decrease

Cost = 100%x - 93%x

Cost = x * (100/100 - 93/100)

Cost = x * (1 - 0.93

Cost = 0.07 x

Answer:

1.44 and 0.07

Step-by-step explanation:

(a)

A 44% increase of the original amount (100%) is

100 + 44 = 144% = [tex]\frac{144}{100}[/tex] = 1.44 ← multiplier

(b)

A 93% decrease of the original amount (100%) is

100 - 93 = 7% = [tex]\frac{7}{100}[/tex] = 0.07 ← multiplier

-10 + 10у + -3y +7
DOES ANYONE KNOW THE ANSWER????????????

Answers

Answer:

The answer is 30.

Step-by-step explanation:

Don't worry about the x and y it just make your head confuse, that's what my teacher said just add up the number.

Find the values of m and n.
A. m = 60, n = 12
B. m = 50, n = 20
C. m = 50, n = 16
D. m = 60, n = 24

Answers

Answer:

D. m= 60, n= 24

Step-by-step explanation:

The angle marked with blue, will also be 2m° (Vertically opposite angles)

So, 2m = (4m- 120)°

2m = 120°

m = 60°

Now, (4m-120)° = 5n° (Vertically opposite angles)

[4(60)- 120]° = 5n°

240- 120 = 5n°

120/5° = n

n= 24°

Hope this helps you

Rhonda has a USB drive that can hold 8 million bytes choose the best approximation of the number of bytes that Rhonda’s USB drive can hold

Answers

Answer:

8 times 10^9

Step-by-step explanation:

hope it helps

The distance from Cherotich's home to school is
2km 400m. He goes to school in the morning
and returns in the evening daily. What distance
does he cover from Monday to Friday?

Answers

Step-by-step explanation:

his one day distance=2400m

his mon -fri distance=2400×4

=9600m

Calculate the amount of money​ you'll have at the end of the indicated time​ period, assuming that you earn simple interest. You deposit ​$3400 in an account with an annual interest of 4.5 ​% for 20years. The amount of money​ you'll have at the end of the years is

Answers

Answer:

The amount of money​ you'll have at the end of the years is 6460 dollars

Step-by-step explanation:

The total principal sum of money deposited = [tex]3400[/tex] dollars

The annual rate of interest is [tex]4.5[/tex] %

The time period for which the amount is invested [tex]= 20[/tex] years

As we know

[tex]A = P (1 + rt)[/tex]

where A is the amount after 20 years

P is the principal sum of money

r is the rate of interest and

t is time period in years

Substituting the given values in above equation, we get -

[tex]A = 3400 (1 + \frac{4.5}{100} * 20)\\A = 6460[/tex]dollars

CAN SOMEONE TELL ME THE AREA PLEASE

Answers

Answer:

1.3 m²

Step-by-step explanation:

The shape is a trapezoid.

Area of a trapezoid = ½(a + b)*h

Where, a = 0.8 m

b = 1.8 m

h = height of the trapezoid which is not given.

Therefore, find h using trigonometric function with 45° as reference angle:

Hypotenuse = 1.4 m

Opposite = h

Apply SOH, which is:

Sin 45 = Opp/Hyp

Sin 45 = h/1.4

1.4*Sin 45 = h

0.989949493 = h

h ≈ 1.0 m

✔️Area of Trapezoid = ½(0.8 + 1.8)*1 = 1.3 m²

What type of answer would you expect from the problem below? Explain why you expect that type of answer.

Answers

Answer:

I would expect a decimal questions because if you wanted to add these two, you would have to put them in the type of number so it would be easier and faster to get the answer.

Step-by-step explanation:

Answer:

Rational Both numbers can be written as fractions, so the answer will be a fraction, which is a rational number

Mrs. Hicks can grade 25 quick checks in 20 minutes. Ms. Place can grade 36 quick checks in 30 minutes. Which teacher is working at a faster rate? How do you know?

Answers

Answer:

Ms place is working at a faster rate because Mr.Hicks is doing 0.8 per minute while Ms.Place is doing 0.83 per minute.

Ughhhhhh 0.83 I think

CVS cells a 6 ounce bag of takies for$2.10 what is the unit cost. IDEK MY TEACHER STAY TRYNNA BE COOL

Answers

Answer: $0.35/ounce

Step-by-step explanation: Since there are 6 ounces, you measure the unit cost in ounces, and since there is 6 you divided 6 by 210 = 35. We convert back to money and get $0.35 an ounce.

Use the estimates from (c) and (d) to calculate the relative change in the average household
income from 2002 to 2012. Round to the nearest one percent. Indicate if the change is an
increase or decrease.

Answers

Answer:

it decreased by 5.55% change of 6%

The relative change is -6% Rounding to the nearest percent.

What are average?

The average can be calculated by dividing the sum of observations by the number of observations.

Average = Sum of observations/the number of observations

The relative change can be calculated by dividing the absolute change (the subtraction of the values) by the initial value.

The absolute change is the final value minus the initial value;

Absolute change = 51000 - 54000 = -3000

Now, calculating the relative change;

Relative = -3000/54000

Relative = - 0.0555

Since the relative change is negative, this change indicates a decrease.

Therefore, the relative change is -6% Rounding to the nearest percent.

Learn more about average here;

https://brainly.com/question/27851466

#SPJ2

whoever gets this correct first gets brainlest!!

Answers


QR= 51

Find the proportion first:

We see that PN and SQ are similar so we can take the proportion of them:

40/8= 5

So we multiply the smaller sided triangle by 5

So 10.2 x 5 = 51 :)

Can someone please help I don’t get it

Answers

Answer:

28/3

Step-by-step explanation:

1.Find the slope

2.Set up equation y1-y2/x1-x2

3.solve

4.your answer

28/3

round off 99859.99946415 into (a)3 decimal place. (b)2 decimal place. (c)5 decimal place. (d)Tenth. (e) hundreds. (f)2 significant figure. (g) 11 significant figure. please help me​

Answers

Answer:

Step-by-step explanation:

Please mark as brainliest

A car travels 17 miles on one gallon of gas.
If y is gallons and x is miles, what is the range of values of y when x ranges from 170 to 340?

Answers

Answer:

747464

Step-by-step explanation:

3737363746474747

In the diagram, the measure of angle 5 is (10x – 9)°, and the measure of angle 7 is (9x)°. What is the measure of angle 6, to the nearest degree?

A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 6, to the nearest degree?

Answers

9514 1404 393

Answer:

  99°

Step-by-step explanation:

If we assume that angles 5 and 7 are vertical angles, they are congruent:

  10x -9 = 9x

  x = 9 . . . . . . . add 9-9x

Then angles 5 and 7 are ...

  (10·9 -9)° = 9·9° = 81°

Angle 6 will be the supplement to this.

  angle 6 = 180° -81°

  angle 6 = 99°

Answer:

the answer is not 99

Step-by-step explanation:

The parent exponential function of f(x)=2x has been transformed in the following ways:
-a vertical compression by a scale factor of 13
-a vertical translation of 3 units up
-and a horizontal translation of 3 units to the left

Answers

Answer:

The resulting expression is [tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]. We include the graph of both functions, the red line represents the parent exponential function, whereas the blue line is for the resulting function.

Step-by-step explanation:

Statement is incomplete. The question is missing. We infer that question is: What is the resulting expression? Let [tex]f(x) = 2^{x}[/tex], each operation is defined below:

Vertical compression

[tex]g(x) = k\cdot f(x)[/tex], where [tex]0 < k < 1[/tex]. (1)

Vertical translation upwards

[tex]g(x) = f(x) + c[/tex], where [tex]c > 0[/tex]. (2)

Horizontal translation leftwards

[tex]g(x) = f(x+b)[/tex], [tex]b > 0[/tex]. (3)

Now, we proceed to transform the parent exponential function:

(i) A vertical compression by a scale factor of 13 ([tex]k = \frac{1}{13}[/tex])

[tex]f'(x) = \frac{1}{13}\cdot 2^{x}[/tex]

(ii) Vertical translation of 3 units up

[tex]f'' (x) = \frac{1}{13}\cdot 2^{x} + 3[/tex]

(iii) Horizontal translation of 3 units to the left

[tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]

The resulting expression is [tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]. We include the graph of both functions, the red line represents the parent exponential function, whereas the blue line is for the resulting function.

The measurements of two sides of a triangle are 5 cm and 16 cm. What could be a measurement of the third side of the triangle?

Answers

Answer:

The third side would be greater than 11 or less than 21

which equation is equivalent to 2/3 x -5 / 6 equals -5 / 12 x + 1 / 4​

Answers

Answer:

13x=13

Step-by-step explanation:

...............

PLEASEEEE HELPPPPPPPPPP

Answers

5 the answer I took the test

Answer:

b=5

Step-by-step explanation:

8b+12 = 52

8b = 52-12

8b = 40

Therefore, b= 40/8 = 5!

Hope it helps! :)

please help me . I need it asap .​

Answers

Answer:

x=10, y=-1

Step-by-step explanation:

Multiply both sides of the top equation by 2 to get 2x-2y=22

subtract the two equations

2x-2y=22

2x+y=19

-3y=3

y=-1

plug the -1 in any of the two equations (I'll do the second one)

2x-1=19

2x=20

x=10

x=10, y=-1

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