A group of 7 students went bowling. Each student rented bowling shoes for $x and spent $15 on snacks. A group of 6 adults also went bowling and paid twice as much to rent bowling shoes as each student. Each adult also spent $12.50 on snacks. If both groups spent the same total amount, what was the cost for each adult to rent bowling shoes?

Answers

Answer 1

Answer:

$3.52 (rounded to nearest penny)

Step-by-step explanation:

7x + 15(7) = 12(2x) + 12.5(6)

7x + 105 = 24x + 75

105 = 17x + 75

30 = 17x

1.76 = x

3.52 = 2x

Answer 2

The cost for each adult to rent bowling shoes is $12.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Group I:

Total students= 7

Rent of bowling= $x

Spent on snacks= $15

Then, total amount spent by 7 children = 7x+ 15(7)

Group II:

Total students= 6

Rent of bowling= $2x

Spent on snacks= $12.50

Then, total amount spent by 7 children = 6(2x)+ 6 (12.50)

So, If both groups spent the same total amount

7x+ 105=  12x + 75

12x- 7x = 105- 75

5x = 30

x= 6

Hence, the cost for each adult to rent bowling shoes is $12.

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Related Questions

Answer these questions

Answers

c = 1 > 7 =

According to reliable sources.

Answer:

C > 9

Step-by-step explanation:

First Subtract 1 from both sides

2c/3 + 1 -1 > 7-1

= 2c/3 > 6

Now Multiply bith the sides by 3

3 × 2c/3 > 6 × 3

= 2c > 18

Now Divide both sides by 2

2c/2 > 18/2

= c > 9

The answer was already there on the site but maybe you didn't find it

expand and simplify
(x +3)(x+5)

Answers

x • x + x • 5 + 3 • x + 3 • 5
2x + 5x + 3x + 15
10x + 15

Answer:

x² + 8x + 15

Step-by-step explanation:

(x +3)(x+5)

=> x² + 5x + 3x + 15

=> x² + 8x + 15

So, after simplifying, we can conclude that x² + 8x + 15 is our answer. Hoped this helped.

write a math story about this problem : -4n = -24 how to find n!

Answers

Answer:

n=6

Step-by-step explanation:

-4n=-24

4n=24

n=24÷4

=6

Which of the following has fixed length?
a.) A point b.) A line segment c.) A ray d.) A line.

Answers

Answer:

b)A line segment

because a line segment has fixed two points.

Please help me with this!

Answers

Answer:

9/40

i think it may be like this

Step-by-step explanation:

3/5.3/8

9/40

what is 2 x 5/8 in fractions i need help

Answers

Answer:

5/8 x 2 = 10/8 as simplified as 5/4 in fraction form.

5/8 x 2 = 1.25

in decimal form.

Step-by-step explanation:

The solution of the fraction is,

⇒ 5 / 4

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The fraction is,

⇒ 2 × 5/8

Now, We can simplify as;

The fraction is,

⇒ 2 × 5/8

Multiply as;

10 / 8

⇒ 5 / 4

Thus, The solution of the fraction is,

⇒ 5 / 4

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WILL MARK AS BRAINLIEST

Answers

Answer:

18.06

Step-by-step explanation:

7+6=13

34+38=72

13 IS 18.06 PERCENT OUT OF 72.

Answer:

Percentanges are factors so

41 Women + 44 Men = 85 shoppers

7 Women + 6 Men = 13 Online shoppers

13 out of 85 13/85 = 15% of total people surveyed shop online

Step-by-step explanation:

Hope this helps! BH

-3=2/3(2) what is the answer

Answers

When adding, you only add the numerators. The denominator stays the same (Assuming the denominators are the same number). If not, then you will have to find a common denominator first. IN this case, the denominator is already the same. Add the numerator

2/3 + 2/3 = 4/3

Note that the answer gotten is an “improper fraction”, because the numerator is greater than the denominator. Simplify.

4/3 = 3/3 + 1/3

Divide: 3/3 = 1

1 + 1/3 = 1 1/3

1 1/3 is your mixed fraction answer (4/3 for improper fraction answer)

What is the answer please?

Answers

Answer:

its f

Step-by-step explanation:

Answer:

H. [tex]x\leq -5[/tex]

Step-by-step explanation:

hope this helps!

Jill is buying a cookie kit to decorate cookies for her children during the holiday break. She will pay $2.50 per cookie and a $4 service fee. Which equation can be used to find y, the total cost to buy x cookies?

Answers

Answer:

4 + 2.5x=cost

Step-by-step explanation:

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

x ≈ 54.5°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{50}{86}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{50}{86}[/tex] ) ≈ 54.5° ( to the nearest tenth )

Which expression has a positive product? 0 4.(-2).0.(-3) 2.(-5). ( 4)( 1) 6. (2).8.(3) 5- (6)-( 3). (3) ​

Answers

Answer:

(4)(1)6

Step-by-step explanation: It only has all positives and the rest all have one negative so that affects the whole problem and turns them negative.

The cube has an edge of 1/4. What is the volume of the cube?

Answers

Step-by-step explanation:

V = Volume of cube

a = edge of cube

Formula of volume of cube:

V = a³

[tex]V = { (\frac{1}{4}) }^{3} \\ V = \frac{1}{64} [/tex]

Volume of the cube = [tex] \frac{1}{64} [/tex]

Find the value of 7u-8 given that -4u-5=3

Answers

Answer:

22

Step-by-step explanation:

-4u - 5 = 3

=> -4u = 8

=> u = -2

=> 7(-2) - 8

=> -14 - 8

=> -22

Therefore, -22 is our answer.

Hoped this helped.

what is the slope of the line that contains these points x- -1,0,1,2 y- 10,18,26,34

Answers

Answer:

The slope is 8

Step-by-step explanation:

I WILL GIVE BRAINLIEST
Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers.
(a) 2x + 4 (x - 1) = 2 + 4x
(b) 25 - x = 15 - (3x + 10)
(c) 4x = 2x + 2x + 5 (x - x)

Answers

a.  3

b. -10

c. 0

dddwdwcd

what is the answer to 5+ (6)(3)

Answers

Answer:

23 i think

Step-by-step explanation:

6x3=18 18+5=23 The answer is 23

Explain why 4xy and 5x²y are not like terms.

Answers

They aren’t like terms became 5x^2y has an exponent

We could have the numbers
5x^2 and 5x and they wouldn’t be like terms because one has an exponent

answer please i’m currently crying

Answers

Answer:

rotation around the origin 90 degrees ccw

Step-by-step explanation:

Translate the sentence into an equation.
Twice the difference of a number and 8 equals 5.
Use the variable b for the unknown number.

Answers

Answer:

it's simple it means

2×b-8=5

Answer:

b = 10.5

Step-by-step explanation:

The difference of b and 8 is b - 8 and twice this difference is

2(b - 8) = 5 ← distribute parenthesis on left side

2b - 16 = 5 ( add 16 to both sides )

2b = 21 ( divide both sides by 2 )

b = 10.5

The unknown number b is 10.5

shelley has 16.5 ounces of frosting that she wants to divide into 4 equal servings to frost four different cupcakes. how many ounces of frosting should she put on each cupcake

Answers

Answer: 4.125

Step-by-step explanation: just divide it but 4 and thats how i got it

What are the steps for solving -3/10 + 4/10

Answers

Answer:

1/10

Step-by-step explanation:

-3/10+4/10=4/10-3/10

                =1/10

PLS HELP FAST FIRST ANSWER GETS BRAINLYEST 35 POINTSSSSS

Elena borrowed some
money from her brother. She
pays him back by giving him
the same amount every
week. The graph shows how
much she owes after each
week.
The slope is -3

1- how much time will it take for elena to pay back all the money she borrowed

Answers

Answer:

no graph how am i supposed to answer

Step-by-step explanation:

DUDE PUT THE GRAPH WHERE IS iT

Tisha is drawing stars in her notebook. She draws 999 stars on the first page, 999 stars on the second page, 999 stars on the third page, and 999 stars on the fourth page. What kind of sequence is this?

Answers

Answer:

The sequence is that, for every page 999 stars are drawn.

Step-by-step explanation:

999

999

999

999

3996

--

The evolution of 999 began when artist Juice WRLD decided to turn the evil number 6 into good... making and upside down 6 become a 9. Think of it as, "turn that frown upside down", or "turn evil into good".

Tyra makes $21. 40 per hour at her job for the first 40 hours and $32. 10 for anything over 40 hours. If Tyra typically works 45 hours per week, how much does she earn? a. $856. 00 b. $963. 00 c. $1,016. 50 d. $1,444. 50.

Answers

Based on the information the amount she earn is: c. $1,016. 50 .

Hours worked= 45 -40

Hours worker=5 hours

Earning for first 40 hours

Earning = 40 × 21.40

Earning=$856

Earning for over 40 hours

Earning = 5 × 32.10

Earning=$160.5

Total earning

Total earning = $856 + $160.5

Total earning=$1,016.50

Inconclusion the amount she earn is: c. $1,016. 50 .

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7.4x10^7 in standard form

Answers

Answer: 740000000

Step-by-step explanation:

Answer:

0.000074

7.4×10−5

To write in standard notation, move the decimal point on

7.4

over as many times as the power of ten given.

Move to the left if the given power has a negative exponent

Move to the right if the given power has a positive exponent

Therefore:

7.4×10−5=0.000074

20 large bottoles can be recyled to make 1 fleece jacket how many fleece jackets can you make with 360 large plastic bottoles

Answers

Answer:

18 fleece jackets can be made

I think you have to divide 360 by 20 (Im not sure)

Hopefully this can help :)

What is a dot product.

Answers

Answer:

In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. ... Algebraically, the dot product is the sum of the products of the corresponding entries of the two sequences of numbers

Step-by-step explanation:

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14

Answers

Answer:

This Inequality has no solution making it false.

Step-by-step explanation:

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14

5,069=322

False

Hope this helps :)

Answer:

Step-by-step explanation:


[tex]if \: \sqrt{2} + \sqrt{3} \div 3 \sqrt{2} - 2 \sqrt{3} = x + \sqrt{6y} \: find \: the \: value \: of \: x \: and \: y[/tex]

Answers

Given info:- [tex]\textsf{If (√3+√2)/(3√2-2√3) = x+y√6,} [/tex]

[tex]\textsf{then find the value of x and y?}[/tex]

Explanation:-

[tex]\textsf{Consider LHS=}\\[/tex]

[tex] \rm \: \frac{ \sqrt{2 } + \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \\ [/tex]

[tex] \rm \: = \frac{ \sqrt{2 } + \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \times \frac{3 \sqrt{2} + 2 \sqrt{3} }{3 \sqrt{2} + 2 \sqrt{3} } \\ [/tex]

[tex] = \rm \: \frac{( \sqrt{2 } + \sqrt{3} )(3 \sqrt{2} + 2 \sqrt{3} )}{(3 \sqrt{2} - 2 \sqrt{3})(3 \sqrt{2} + 2 \sqrt{3}) } \\ [/tex]

[tex] \rm \: = \frac{3 \sqrt{2 \times 2} + 2 \sqrt{3 \times 2} + 3 \sqrt{2 \times 3} + 2 \sqrt{3 \times 3} }{(3 \sqrt{2} {)}^{2} - (2 \sqrt{3} {)}^{2} } \\ [/tex]

[tex] \rm = \frac{3 \times 2 + 2 \sqrt{6} + 3 \sqrt{6} + 2 \times 3}{18 - 12} \\ [/tex]

[tex] \rm \: = \frac{12 + 5 \sqrt{6} }{6} \\ [/tex]

[tex] \rm \: = 2 + \frac{5}{6} \sqrt{6} \\ [/tex]

[tex] \rm \therefore \: 2 + \frac{5}{6} \sqrt{6} = x + y \sqrt{6} \\ [/tex]

[tex]\textsf{On, comparing with RHS we notice that:}\\[/tex]

[tex]\textsf{the value of x = 2 and y = 5/6.}\\[/tex]

[tex]\bf{Read more:}[/tex]

[tex]\textsf{Similar questions}\\[/tex]

[tex] \sqrt{6} + \sqrt{11} \div \sqrt{5} + \sqrt{3} [/tex] A. [tex] \sqrt{30} + 3 \sqrt{2} + \sqrt{55} + \sqrt{33} \div 8[/tex] B. [tex] \sqrt{30} - 3 \sqrt{2} ...

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