Cody and Lisa both went bowling last weekend, but not together. Cody went during open bowling time,
paying $7 for shoe rental and $1 per hour. Lisa went on family night, when each hour was $3 and shoe
rental was $1. As it turned out, they played for the same number of hours and spent the same amount.
How many hours did each one bowl?
Write a system of equations, graph them, and type the solution.

Answers

Answer 1

If both Cody and Lisa play for t hours, then Cody pays a total of $(7 + t), while Lisa pays a total of $(1 + 3t). If they both pay the same amount P, then

7 + t = P

1 + 3t = P

Solve for t :

7 + t = 1 + 3t

t - 3t = 1 - 7

-2t = -6

t = 3

So Cody and Lisa each bowled for 3 hours, and they both ended up paying P = $10.


Related Questions

) It took 2 pumps 6 hours to pump the water out of a pond. How long would it take if 3 pumps
were used?

Answers

Answer:

it would take 2 hours with 3 pumps

Step-by-step explanation:

hope this helps! :D

Solve for the value of A
SOMEONE PLEASE HELP ME ILL GIVE YOY BRAINLIST AND POINTS

Answers

(6a - 8) + 50 = 90

6a - 8 + 50 = 90

6a + 42 = 90

6a = 90 - 42

6a = 48

a = 48/6

•°• a = 8

3. Solve by graphing. Round each answer to the nearest tenth.
x^2 - 7x = 11

Answers

Answer:

-1.3, 8.3

Step-by-step explanation:

Based on the graph below, the solutions are -1.3 and 8.3.

The Royal Fruit Company produces two types of fruit drinks. The first type is 80% pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 95% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 220 pints of a mixture that is 95% pure fruit juice?

Answers

Answer:

55 from un-pure and 165 from pure

Step-by-step explanation:

to get 220 pints with 95% purity you need a mixture of 209 parts to 11 parts (220 *0.95 and 220 * 0.05)

we call the un-pure mixture a and the pure mixture b

all un-pure parts come from a and b in the following ratios

11 = 0.2a + 0b (each pint of mixture a adds 0.2 pints of unpure stuff and each pint of b adds no unpure stuff)

which we can then solve as:

a = 55

all pure parts come from a and b in the following rations

209 = 0.8a + 1b (each pint of mixture a adds 0.8 pints of pure stuff and each pint of b adds a full pint of the pure stuff)

now we can replace a with 55 (from above)

209 = 44 + b,  and solve to

b = 165

now to double check

55 * (0.8x + 0.2y) + 165x would give you

44x + 11y + 165x, which is

11x + 209y and if you then check the ratio

209 / (209+11) = 0.95 again

There will be 55 pints and of un-pure and 165 pints of pure fruit drinks.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

To get 220 pints with 95% purity you need a mixture of 209 parts to 11 parts (220 *0.95 and 220 * 0.05)

We call the un-pure mixture a and the pure mixture b

All un-pure parts come from a and b in the following ratios

11 = 0.2a + 0b (each pint of mixture a adds 0.2 pints of unpure stuff and each pint of b adds no unpure stuff)

which we can then solve as:

a = 55

All pure parts come from a and b in the following rations.

209 = 0.8a + 1b (each pint of mixture a adds 0.8 pints of pure stuff and each pint of b adds a full pint of the pure stuff)

Now we can replace a with 55 (from above)

209 = 44 + b,  and solve to

b = 165

Now to double check

55 x (0.8x + 0.2y) + 165x would give you

44x + 11y + 165x, which is

11x + 209y and if you then check the ratio

209 / (209+11) = 0.95

Therefore, there will be 55 pints of unpure and 165 pints of pure fruit drinks.

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HELP PLEASE!!!
What is the ratio of 1713.57^2/4113.87^3.

Answers

Answer:

  4.21747×10^-5

Step-by-step explanation:

Your calculator can do the division for you. The ratio is about 4.21747×10^-5.

__

This is approximately 10/237109.

A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount remaining on the card is .

The independent variable is the _____________?

The dependent variable is the ______________?

Answers

Answer:

The relationship between the number of months after the first year and the amount on the remaining card is linear and inverse ( Which meant that ,when the number of months after the first year increases , the amount on the remaining car decreases , in a linear way ) .

The Independent variable is the numbers of months after the first year .

The Dependent variable is the amount on the remaining card , Bcoz this amount depends on the time it has passed since the first year , ( which is our independent variable!).

If we call "Y" our dependent variables and "X" our Independent variable , This relationship can be written as Y= 25 - 2.5x.

If no months had passed since the first year, then x= 0 and the amount in the card equals $25 , While if one month has passed since the first year x= 1 and y= 22.5 ( The amount in the card in this case is $22.5 .

Step-by-step explanation:

Hope this helps you !!

write an expression that is equivalent to (-16)^-2

Answers

Answer:

1/256

Step-by-step explanation:

(-16)^-2

= 1/(-16)^2

= 1/ (-16· -16)

= 1/ 256

Jerry took a test that had 45 questions on it. He got 36 correct. Enter the
percentage of questions Jerry got correct.

Answers

Answer:

80% is what he got on the test

Layla has 5.49 pounds of wood she divides it into 7
so basically 5.49÷7

Answers

Answer:

0.7842857142857143

Step-by-step explanation: i would right an explanation but i cant put it all so you will just have to trust me

Sally bought shirts and pants for school. She bought a total of 8 items. Each pair of pants cost
$28, and each shirt cost $12. She spent a total of $144. How many pairs of pants did Sally buy?
How many shirts did she buy?
ONLY ORIGINAL ANSWERS OR NO BRAINLIEST WILL BE GIVEN AND NO SITES OR CHEET SHEETS

Answers

If my calculations are correct, Sally would be able to buy 3 pairs for 84 bucks and 5 pairs of shirts for 60 bucks, making a total of 144 bucks.

56 x 4 + 5 - 53=x
(x) x 23 + 500

Answers

Step-by-step explanation:

56× 4=224

224+5= 229

229-53=176

176×23=4048

4048+500=4548

The answer is = 4548

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

56*4+5-53-(x*(x)*x^23+500)=0

Step by step solution :

STEP
1
:

STEP
2
:
Pulling out like terms

2.1 Pull out like factors :

-x25 - 324 = -1 • (x25 + 324)

Equation at the end of step
2
:

-x25 - 324 = 0
STEP
3
:

Solving a Single Variable Equation:

3.1 Solve : -x25-324 = 0

Add 324 to both sides of the equation :
-x25 = 324
Multiply both sides of the equation by (-1) : x25 = -324


x = 25th root of (-324)

Negative numbers have real 25th roots.
25th root of (-324) = 25√ -1• 324 = 25√ -1 • 25√ 324 =(-1)•25√ 324

The equation has one real solution, a negative number This solution is x = negative 25th root of 324 = -1.2601


One solution was found :
x = negative 25th root of 324 = -1.2601

the difference of x and 15 is 62 solve for x

Answers

Answer:

x is 77

Step-by-step explanation:

Answer:

x = (-77)

Step-by-step explanation:

The other one is wrong. He did it right, but he forgot the -.

7/13 as a decimal rounded to the nearest hundredth

Answers

Answer:

0.54

Step-by-step explanation:

Answer:

0.54

Step-by-step explanation:

calculator. easy.

Brennan studied the relationship shown in the table.

x 3 4 5 6 7
y 36 48 60 72 ?

Which expression describes a method Brennan could use to determine the y-value when x equals 7?

Answers

Answer:

y = 12x

Step-by-step explanation:

Note the relationship

x = 3 : y = 36 , that is 36 = 12 × 3

x = 4 : y = 48, that is 48 = 12 × 4

x = 5 : y = 60 , that is 60 = 12 × 5

x = 6 : y = 72 , that is 72 = 12 × 6

The value of y is obtained by multiplying corresponding x value by 12

Then

x = 7 → y = 12 × 7 = 84

in general for any x

y = 12x

what is the x coordinate to the solution for the following system of equations

x = 2y

4x - 3y = 15

Answers

Answer:

x=6

Step-by-step explanation:

x=2y

4x-3y=15

4(2y)-3y=15

8y-3y=15

5y=15

y=3

x=2y

x=2(3)

x=6

2. Name 3 points that are collinear*
2
s
S
R
O points T, Q, and R
O points T, Q, and S
O points S, Q, and R

Answers

Answer:

T, Q, and R

Step-by-step explanation:

These points are all on the same line, making them collinear.

I hope this helps!!

what is 1/2 (6x+10) - 25

Answers

Answer:

 3x - 20

Step-by-step explanation

          simplify 1/2

STEP 3

Pulling out like terms

3.1     Pull out like factors :

6x + 10  =   2 • (3x + 5)

Equation at the end of step

3 (3x + 5) -  25

Final result : 3x - 20

If there are 30 boys and 12 girls in a room, fill out all of the possible ratios of boys to girls that could be made

Answers

Answer:

30:12

Step-by-step explanation:

In a two digit number, the sum of the digit is 14. Twice the tens digit exceeds the units digit by one. Find the numbers?​

Answers

Answer:

59

Step-by-step explanation:

x= tens place of number

y= ones place of number

set up equations:

"sum of the digit is 14"

sum is the result of addition

x+y=14

"Twice the tens digit exceeds the units digit by one"

2x is bigger than y by 1

if 2x is bigger, then add 1 to the opposite side to balance the equation:

2x=y+1

with 2 equations you can solve for 2 variables:

2x=y+1

2x-1=y

substitute into x+y=14

x+(2x-1)=14

3x-1=14

3x=15

x=5

------

subtitute to find y

x+y=14

5+y=14

y=9

number is 59

On a map, two cities are 5 3/4 inches apart. the scale of the map is 1/2 inch equals 3 miles. what is the actual distance between the towns?

Answers

Answer:

18

Step-by-step explanation:

5.5 x 3=16.5

Add 1.5 and you get 18

The ratio of green balloons to blue balloons is 6 to 9 if there are 1620 blue balloons how many green balloons are there

Answers

We know that the ratio is 6:9 green to blue balloons. We can divide 1620 by 9. This gives us 180. Next, we multiply 6 * 180. This gives us 1080.

There are 1,080 green balloons.

i need help with this!!

Answers

Answer:

Answer: x <-4

Step-by-step explanation:

you need to do it step by step and use something that will help

8x-4<-36

8x<-36+4

8x<-32

Answer: x<-4

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL



Find the volume of a sphere with a diameter of 18.8 cm, . Use 3.14 for π. Round your answer to the nearest tenth.
869.3 cm3
1,956 cm3
1,109.8 cm3
3,477.4 cm3

Answers

Answer:

  (c)  3,477.4 cm³

Step-by-step explanation:

The formula for the volume of a sphere is ...

  V = 4/3πr³ . . . . where r is the radius

The radius is half the diameter, so is 18.8 cm/2 = 9.4 cm.

Using this value and the value for pi in the formula, we have ...

  V = (4/3)(3.14)(9.4 cm)³ = (4/3)(3.14)(830.584 cm³) ≈ 3477.4 cm³

_____

Additional comment

You will do well to learn how to use a formula, and how to use your calculator to evaluate it. It can be useful to keep perimeter, area, and volume formulas handy for the usual plane and solid figures.

The circle passes through the point (-1.5, 2.5). What is its radius?
Choose 1 answer
2.5
V1.5
1.5
/2.5

Answers

It’s 2.5 because this is easy I answered it in my head think about it …

Suppose $22,825 is deposited into a savings account with a simple interest rate of 4.03%. Find the account balance after 5 years and 3 months.

Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.

Answers

Based on the information that's given, the account balance after the years given will be $27654.20.

The formula for simple interest is calculated as:

= PRT / 100

where,

Principal = $22825

Rate = 4.03%

Time = 5 years, 3 months = 5.25 years

Therefore, the simple interest will be:

= ($22825 × 4.03 × 5.25) / 100

= $4829.20

Therefore, the amount will be:

= $22825 + $4829.20

= $27654.20

Learn more about simple interest on:

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Answer:

The amount will be $27654.20

Step-by-step explanation:

WILL GIVE BRAINLIEST!! ILL GIVE LINK IF YOU NEED IT

Answers

Answer: As x increases, the slope of the graph increases.

I will Need the link

please help asap for brainlist

Answers

Answer:

3rd one i think so or it will be last question

which grade question is this

out of 300 students at rsm summer camp 180 are boys what fraction of all students are boys

Answers

Answer:

3/5

Step-by-step explanation:

so first of all...

out of

300

students,

180

are boys.

180/300

which, simply by 60

3/5

so.. 3/5 of the people at rsm (whatever that is) summer  camp are boys! Explanation isn't good, but you didn't really ask for it so i think you're ok... I guess. Now i just need an answer to my problem...

In rsm summer camp, fraction of boys is 3/5.

What is a fraction?

A fraction is a numeral that represents a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

Given that,

Total number of students at rsm summer camp = 300.

Total number of boys at rsm summer camp = 180.

To find the fraction of boys to all students.

Fraction of boys = number of boys / total number of students

                           = 180 / 300
                           = 18 / 30

                            = 3 / 5

The required fraction of boys is 3/5.

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what is the total number of edges on a rectangular prism

Answers

Answer:

12 edges

Step-by-step explanation:

A rectangular prism has 6 faces, 8 vertices (or corners) and 12 edges.

Answer:

12

Step-by-step explanation:

2. Approximate e?. Round your answer to the nearest tenth

Answers

Answer:

1096.6

Step-by-step explanation:

The answer would be 1096.63316, but since you are rounding to the nearest tenth, then your answer would be 1096.6.

Answer:

1096.6.

Step-by-step explanation:

e = about 2.7

2.7^7is about 1046

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