Johnny and Dustin both went bowling last weekend, but not together. Johnny went during open bowling time, paying $13 for shoe rental and $3 per hour. Dustin went on family night, when each hour was $4 and shoe rental was $3. As it turned out, they played for the same number of hours and spent the same amount. How much did each one spend? How many hours did each one bowl?

Answers

Answer 1

Answer:

10 hours

$43

Step-by-step explanation:

Given that:

Jonny:

Shoe rental = $13

Fee per hour = $3

Dustin :

Shoe rental = $3

Fee per hour = $4

Number of hours bowled is the same

Let number of hours bowled = x

$13 + 3x = $3 + 4x

3x - 4x = $3 - $13

-x = - 10

x = 10

Number of hours each bowled = 10

Amount spent :

Jonny:

$13 + 3x = $13 + $3(10) = $13 + $30 = $43

Dustin :

$3 + 4x = $3 + $4(10) = $3 + $40 = $43


Related Questions

11x + 18 = 172 not a test i need the right awnser

Answers

Answer:

x=14

Step-by-step explanation:

11x+18=172, subtract 17 from both sides, 11x=154, divide 11 from both sides, x=14

please help I would really Appreciate it so much ​

Answers

Answer:

I think it is b

Step-by-step explanation:

it is 3a times all of the numbers in parenthases

hope you pass your test

HAPPY NEW YEAR

Answer:

the answer is 15a+12ac+6ab

Step-by-step explanation:

3a(5+4c+2b)

(3a)(5+4c+2b)

(3a)(5)+(3a)(4c)+(3a)(2b)

15a+12ac+6ab

6ab+12ac+15a

hope this helps!

Gabby spents $44.10 for 14 gallons of gas.what was the unit cost or price per gallon

Answers

Answer:

The unit cost is $3.15

Step-by-step explanation:

Here, we want to get the price per gallon

mathematically, that will be total amount spent divided by the number of gallons

That will be;

44.10/14 = $3.15

12. Write an equation in slope-intercept form that passes through (5,-2) and (-16,4).​

Answers

Slope: (y2-y1)/(x2-x1)
(4+2)/(-16-5) = 6/-21 = -2/7
Y = -2/7x + b
5 = -2/7(-2) + b, b = 31/7
Equation: y = -2/7x + 31/7

Answer:

Slope: (y2-y1)/(x2-x1)

(4+2)/(-16-5) = 6/-21 = -2/7

Y = -2/7x + b

5 = -2/7(-2) + b, b = 31/7

Equation: y = -2/7x + 31/7

Step-by-step explanation:

HELP PLEASE!!!!

Review the function equation below.
y = −9x + 3
Enter the slope of the function in the box.

Answers

-9 is the answer

your welcome

PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :) ​

Answers

Answer:

12

Step-by-step explanation:

Answer: 12

Step-by-step explanation: Subtract 6 - 4 = 2. 2 * 2 = 4. 4 + 5 = 9. 9 - 3  = 6. 6 +6 = 12

A train travels at a speed of 58.6 km/h. Express this speed in
a. m/s
b. cm/min​

Answers

Answer:

16.27778 m/s

97666.6667 cm/min

Step-by-step explanation:

a. To convert km/hr into m/sec, multiply the number by 5 and then divide it by 18.

m/s = (58.6 * 5) /18 = 16.27778 m/s

b. 1 Kilometer/Hour = 1666.66666666667 Centimeter/Minute

so 58.6 * 1666.666 =97666.6667 cm/min

x + y = 42, xy = 108 then what is x and y. Is there any (non-quadratic)formula for finding this instead of the process of elimination

Answers

Answer:

when x = 39.25, y = 2.75

when x = 2.75, x = 39.25

Step-by-step explanation:

use substitution method

x+y = 42 ------ (1)

xy = 108 ------ (2)

from (1) ,

x+y = 42

y = 42-x ------ (3)

substitute (3) into (2)

xy = 108

x( 42-x ) = 108

42x - x² = 108

-x² + 42x - 108 = 0

x² - 42x + 108 = 0

use the following formula to solve the value of x:

[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \: \\ ii) \: x = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

a = 1

b = -42

c = 108

[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]x = \frac{ - ( - 42) + \sqrt{( - 42) {}^{2} - 4(1)(108)} }{2(1)} [/tex]

[tex]x = \frac{42 + \sqrt{1764 - 432} }{2} [/tex]

[tex]x = \frac{42 + \sqrt{1332} }{2} [/tex]

[tex]x = \frac{42 + 6 \sqrt{37} }{2} [/tex]

[tex]x = 21 + 3 \sqrt{37} [/tex]

[tex]x = 39.25[/tex]

[tex]ii) \: x \: \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]x = \frac{ - ( - 42) - \sqrt{( - 42) {}^{2} - 4(1)(108} }{2(1)} [/tex]

[tex]x = \frac{42 - \sqrt{1764 - 432} }{2} [/tex]

[tex]x = \frac{42 - \sqrt{1332} }{2} [/tex]

[tex]x = \frac{42 - 6 \sqrt{37} }{2} [/tex]

[tex]x = 21 - 3 \sqrt{37} [/tex]

[tex]x = 2.75[/tex]

the 2 values of x are x = 39.25 and x = 2.75

substitute x = 39.25 into (3)

y = 42-x

y = 42-39.25

y = 2.75

substitute x = 2.75 into (3)

y = 42-x

y = 42-2.75

y = 39.25

when x = 39.25, y = 2.75

when x = 2.75, x = 39.25

A pair of shoes is ticketed $49.99 but marked 15% off. You had a coupon for an additional 10% off the sales price. You have to pay 6.75% sales tax on shoes. How much are you paying?​

Answers

Answer:

$40.86

Step-by-step explanation:

just multiply 49.99 times 0.15 then multiply 49.99 times 0.10 then add those together to get 12.49 then multiply 49.99 times 0.0675 to get 3.37 then subtract 12.49 from 49.99 then add 3.37 to that so like

(49.99 - 12.49) + 3.37 = 40.86

What are the solution points for the system graph?
A)

(0,2)

B)

No solution

C)

(0,1)

D)

(0,0)

Answers

Answer:

if i right it (0,2)

Step-by-step explanation:

i hope u get it right

Answer:

No Solutions

The two equations do not have any intersecting points, so the answer would be zero solutions.

Step-by-step explanation:

What happens to the graph of f(x) when it is multiplied
by a number between - 1 and 0?

Answers

It’s dilated so it gets smaller sorry if this isn’t right lol

What is the value of the x variable in the solution to the following system of equations? (1 point)

4x + 2y = 12
x − y = 3

0
−3
3
2

Answers

Answer:

-3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

4x + 2y = 12

x − y = 3

Make it able to cancel the variable y.

x*2 − y*2 = 3*2

2x − 2y = 6

Add the equations together now that y can be canceled out. Add each like term of the separate equations together.

   4x + 2y = 12

+  2x − 2y = 6

   6x + 0 =  18

6x = 18

6      6

x = 3

I hope this helps!

I'LL GIVE BRAINLIEST!!

Answers

Answer: 3

Step-by-step explanation:

1. 2²=4

2. 4*5=20

3. 180/20=9

4. √9=3

Hope this helped :)

Answer:

x = 3

Choice 2

Step-by-step explanation:

180 = 2^2 * x^2 * 5

180 = 20x^2

9 = x^2

x = 3

Checking:

180 = 2^2 * 8^2 * 5

180 = 4 * 9 * 5

180 = 36 * 5

180 = 180

HELP WILL MARK BRAINLIEST

Answers

Answer:

i think d

Step-by-step explanation:

im so sorry if this is wrong but im almost positive its d

please mark brainliest

No, it fails the vertical line test.

If you take your pencil or your finger and hold it upright, parallel to the y axis, and move it from left to right your pencil or finger will thought the line in multiple places at the same time. This is the vertical line test and because it hits multiple places on the line at the same time it fails the test. This is telling you that an x value has more than one y value, so it is not a function.

The points (5, 7) and (4, 5) fall on a particular line. What is its equation in slope-intercept
form?

Answers

Answer:

y=2x−3

Step-by-step explanation:

two irregular pentagons are constructed so that every side has length of 1 unit. Does this necessarily mean that these figures are congruent with one another

Answers

Answer:

la repuedta es la tila idnjxnfozmsuzndybdjsnshsbsb

The population of cina is approximately 1.381×10^9 and the population of the united states is approximately 3.23×10^8 about how many people live in both countries combined?Express your answer in scientific notation

Answers

Answer:

The number of people living in both countries is 1.704 x 10⁹

Step-by-step explanation:

Given;

Population of people in China, = 1.381 x 10⁹

Population of people in united states, = 3.23 x 10⁸

The total number of people living in both countries is given as;

Total population = 1.381 x 10⁹ + 3.23 x 10⁸

Total population = 1.381 x 10⁹ +  0.323 x 10⁹

Total population = (1.381 + 0.323) x 10⁹

Total population = 1.704 x 10⁹

Therefore, the number of people living in both countries is 1.704 x 10⁹

What is 4% of 25?.....

Answers

Answer:

1

Step-by-step explanation:

multiply 25 by .04

What appears to be the range of the part of the function shown on the grid?
(A) g(x) = 2x
(B) g(x) = x - 3
(C) g(x) = x - 8
(D) g(x) = 2x - 8

Answers

Answer:

D) g(x) = 2x-8

Step-by-step explanation:

Which of these strategies would eliminate a variable in the system of equations?
\begin{cases} 6x + 5y = 1 \\\\ 6x - 5y = 7 \end{cases}









6x+5y=1
6x−5y=7


Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
Subtract the bottom equation from the top equation.

(Choice B)
B
Add the equations.

(Choice C)
C
Multiply the top equation by 777, then subtract the bottom equation from the top equation.

Answers

9514 1404 393

Answer:

A  Subtract the bottom equation from the top equation.B  Add the equations.

Step-by-step explanation:

The x-terms are the same in each equation, so subtracting one equation from the other will eliminate the x-variable.

The y-terms are opposites in the two equations, so adding the two equations will eliminate the y-variable.

Both strategies (subtracting, adding) are applicable to this system of equations.

Find all real values of x that satisfy the equation x^2 - 7x = 98.

Answers

du behöver först förenkla talet

x/2-7x=98

2-8x=98

98-2=96
7x/98=14

So x=14

What is the Least Common Denominator for the two fractions? 1/4 and 7/10​

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

I need help plz on this question

Answers

The answer is -1/3 hope this helped

Answer:

-1/3

Step-by-step explanation:

Ann's gym charges $20 per month plus $5 per visit. Blake's gym charges
$30 per month plus $3 per visit. Ann and Blake make the same number of
visits per month. How many visits would make their monthly costs equal?
O A. At 5 visits they will both cost $45
B. At 8 visits they will both cost $60
C. They will never cost the same
0
D. They will always cost the same
Edit:

Answers

Answer:

yea i def lost brain cells trying to answer this

Step-by-step explanation:

Answer:

It's A!

Step-by-step explanation:

Basically, I substituted numbers in and added the per-month cost and per-visit cost:

Ann: 25   Blake: 33  (1 visit)

Ann: 30   Blake: 36  (2 visits)

Ann: 35   Blake: 39  (3 visits)

Ann: 40   Blake: 42  (4 visits)

Ann: 45   Blake: 45  (5 visits)

pllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer: its most likely p to the power of 6 :)

Step-by-step explanation:

Answer:

The answer for (p^3)^2 is p^6

Step-by-step explanation:

Hope this helps!

Plz, mark brainiest! ^.^

Cherise plays basketball. The list shows the number of points she scored in each of her last six games. 12. 16. 10. 26, 14, 12 What is the mean number of points Cherise scored? O A 12 B. 13 C. 15 D. 16​

Answers

anser:15

Step-by-step explanation:first add 12+16+10+26+14+12=90divide by how mnay numbers in this case 6 90 divied=15

Mean of given dataset is 15.

What is mean?

It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list is called mean.

Given dataset

12, 16, 10, 26, 14, 12

Mean = [tex]\frac{12+16+10+26+14+12}{6}[/tex]

= [tex]\frac{90}{6}[/tex]

= 15

Mean of given dataset is 15.

Find out more information about mean here

https://brainly.com/question/11163338

#SPJ3

The length of a rectangle deck is 3 times its width. If the deck's perimeter is 16 ft, what is the deck's area?

Answers

Answer:12

Step-by-step explanation:

3x+3x+x+x=16

8x=16 so x =2

2*3=6 6*2=12

Answer:

12 sq ft

Step-by-step explanation:

let w = width

let 3w = length

w + w + 3w + 3w = 16

8w = 16

x = 2

Area = 3(2) x 2

A = 6 x 2

Please show your work and solve the proportion!

Answers

Answer:

x = 1/9

Step-by-step explanation:

we want to solve the proportion;

we simply cross multiply the values

Mathematically, that will be calculated as follows;

6x * 21 = 2 * 7

6x * 21 = 14

6x = 14/21

2(3x) = 2(7/21)

3x = 7/21

3x = 1/3

x = 1/3/3

x = 1/9

Find the equation of the line y=___x+___

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

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

Y=3x+3/1 should be right

Help me and I’ll give brainliest to u

Answers

Answer:

7p

Step-by-step explanation:

Since it is 7 dollars per person, and p stands for person, the admission fee would be 7p.

Thank you, I hope you learned from this answer! If it did help, please mark this as brainliest! Thank you!

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