A group of 15 people each bought both a book that cost x dollars and a bookmark that cost $1. A group of 3 people each bought both a book that cost x dollars and a backpack that cost $36. Both groups spent the same amount of money. What is the price of the book?

Answers

Answer 1

Answer:

$1.40

Step-by-step explanation:

Answer 2

Answer:

The price of the book is $7.75.

Step-by-step explanation:

Let's first establish an equation.

If I buy a book costing [tex]x[/tex] dollars and a bookmark costing 1 dollars, I will have spent [tex]x + 1[/tex] dollars. So a group of 15 people doing the same will have spent [tex]15(x+1) = 15x + 15[/tex] dollars.

Analogously, the group of 3 people has spent [tex]3(x+36) = 3x + 108[/tex] dollars.

Since we know that both groups spent the same amount of money, we can set the two expressions equal to each other:

[tex]15x+15=3x+108\\12x=93\\x=7.75[/tex]

Because [tex]x[/tex] was the price of the book, which was asked for in the question, we conclude that the answer is $7.75.


Related Questions

Find the circumference of each circle. Use 3.14 for pi.
6
=

Answers

Answer:

First Question: 18.84

Second Question: 12.56

Step-by-step explanation:

Here is the answer for your circumference question

Which expression is not equivalent to
-3x - 1/2 + 4y?

Answers

Answer:

-3y-3/4+7y+1/4-3x

I hope It's the right answer!

Answer:

the second one is the answer:

-2x - 1/2 + 6y + 3x

Step-by-step explanation:

a rational number is defined as any number that can be written as a fraction with a non zero denomination
true or false?!

Answers

Answer:

True

Step-by-step explanation:

opposite is irrational number

Solve the simultaneous equations
x + 5y = 16
x + 3y = 10

Answers

Answer: x=1 and y=3

Step-by-step explanation: hope this help

The solution of the linear equations x + 5y = 16 and x + 3y = 10 will be (1, 3).

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear equations are given below.

x + 5y = 16        ...1

x + 3y = 10        ...2

Subtract equation 2 from equation 1, then we have

x + 5y - x - 3y = 16 - 10

2y = 6

y = 3

Then the value of the variable 'x' will be given as,

x + 5(3) = 16

x + 15 = 16

x = 1

The solution of the linear equations x + 5y = 16 and x + 3y = 10 will be (1, 3).

More about the solution of the equation link is given below.

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19. Explain the difference
between (-12)2 and - 122.

Help!

Answers

(-12)2 equals 144 -122 equals 22

An employee at a homemade wooden toy store earned $860 over the past week. The employee needs to pay 14% for Federal Income Tax and 3% for State Income Tax, both on the initial amount he earned. How much will the employee earn after paying both taxes?
$

Answers

Answer:
$713.8

Explanation:
14%of 860 = 120.4

3% of 860 = 25.8

so, subtract the sum of the above 2 values from 860.

860 - (120.4+25.8) = 860-146.2 = 713.8

Hope this helps

Using Percentage, the employee earn after paying Federal income tax and state income tax is $713.8.

What is percentage?

Percentage is a "number or ratio that can be expressed as a fraction of 100".

According to the question,

An employee earned $860 over the past years. The employee needs to pay 14% for income tax and 3% for state income tax

Find an employee needs to pay in Federal income tax:

[tex]\frac{14}{100}[/tex] × 860 = 120.4

Find an employee need to pay in State income tax:

[tex]\frac{3}{100}[/tex] × 860 = 25.8

In order to find an  employee earn after paying both taxes only if we sum the amount of taxes paid by an employee and subtract from earned amount by past years.

860 - (120.4  + 25.8) =713.8

Hence, Using Percentage, the employee earn after paying Federal income tax and state income tax is $713.8.

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Need help ASAP
Which number line correctly shows -3 - -1.5?​

Answers

Answer:

The top one I'm pretty sure.

In a fruit cocktail for every 100ml Orange juice you need 12ml Apple juice and 8ml of coconut milk what is the ratio of Apple juice to coconut milk to orange juice expressed in its simplest form

Answers

100:12:8 can be simplified to 25:3:2

What is the value of the x ? x + x + x = 56

Answers

x = 56 divided by 3 = 18.6

Hey there!

ORIGINAL EQUATION

x + x + x = 56

CONVERT/COMBINE the LIKE TERMS

1x + 1x + 1x = 56
2x + 1x = 56

NEW EQUATION

3x = 56

DIVIDE 3 to BOTH SIDES

3x/3 = 56/3


SIMPLIFY IT by canceling out 3/3 because it give you 1 & KEEP 56/3 because help solve for the x-value (it also give you the x-value result)


x = 56/3

x = 18.666667

x = 18 2/3


EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE ALL EQUIVALENT TO EACH OTHER

Good luck on your assignment & enjoy your day!



~Amphitrite1040:)


help me plz and thx :)

Answers

Answer:

I am sure it is false. becuase a dependent variable is something you measure and you have to count the eggs.

Which parent function is represented by the graph?
5+
A. Linear parent function
A
B. Quadratic parent function
C. Absolute value parent function
D. An exponential parent function

Answers

Answer:

quadratic parent function

Step-by-step explanation:

squares cannot be negative no matter what you cannot square a number into a negative number which is why there are no negative y values because y is a function of X

The parent function is represented by the graph is an exponential parent function, the correct option is D.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

The graph of function

Now,

To identify which parent function is represented by the graph, we can look at the shape and features of the graph. The graph shows a curve that starts from the lower left quadrant and rises rapidly as x increases. The graph passes through the point (0, 1) and has a horizontal asymptote at y = 0. These are the characteristics of an exponential parent function with a base greater than 1.

Therefore, the function will be an exponential parent function.

Learn more about function here:

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Write a linear function for the data in each table using function notation.

Answers

Answer:

A. f(x) = 6.5xB. f(x) = 3x - 2

Step-by-step explanation:

Table A

This is proportional relationship

The function is:

f(x) = 6.5xTable B

The slope is:

(10 - 7)/(4 - 3) = 3

The y-intercept is:

10 - 4*3 = -2

The function is:

f(x) = 3x - 2

Answer:

A. f(x) = 6.5x

B. f(x) = 3x - 2

Step-by-step explanation:

Please help will brainlist

Answers

Answer:

It should be A

Step-by-step explanation:

(I'm not 100% sure, but two of the sides are congruent so I would just choose 3!)

Find the geometric mean of the numbers. If necessary, give the answer in simplest radical form.

1.5 and 20

The geometric mean is .

Answers

its the square root of 1.5*20 which is root 30

Solve the following systems of equations using substitution:
x = 6
y = 2x - 3

Answers

Answer:

y=9

Step-by-step explanation:

2(6)-3=9

The answer is y=9
Y=2x-3
Y=2(6)-3
Y=12-3
Y=9

Help me on this pleaseee

Answers

The answer would be B

HELP
A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 25 of its size. What is the scale of the drawing for the new garden shown below?
A rectangle that is 8 inches long and four-fifths of an inch wide.

Answers

Answer:

1inch=5

Step-by-step explanation:

2/5*100/1=200/5

200/5=40

40/8=5

Tom went bowling with $27 to spend.He rented shoes for $5.75 and paid $4.25 for each game.

Answers

Answer:

5

Step-by-step explanation:

Subtract the spent money to rent cost:

27-5.75=21.25

Divide the answer to the cost of each game:

21.25/4.25=5

he played 5 times.

What’s measure angle K ?

Answers

Answer:

angle K = 180 - 128 = 52 degrees

Step-by-step explanation:

The sum of all angles in a triangle will always add up to 180°. So, because the two triangles are identical, you can do 180-46-82, and get your answer, which is 52°. Have a nice day!

what is the missing number​

Answers

Answer i believe the rule is y= x/2 so n=6

Step-by-step explanation:

Ms. Pickle is a salesperson at Fluffy Dogs. Each week she earns $560 plus a 6.5% of her sales. How much did she earn last week if her sales were $3800?

Answers

Answer:

I think 247 is your answer!

Step-by-step explanation:

$560 plus a 6.5% of her sales = 596.4 US$

3800 plus a 6.5% of her sales last week = 4047

6.5% of 3800 is 247

How many solutions does the following. system of equations have? 6x-3y= -9 y=2x+3. one solution, infinitely many solutions or no solution?​

Answers

Answer:

      D    on edg

Step-by-step explanation:

answer asap ty.!

Thanks

Answers

Answer:

x=0

Step-by-step explanation:

5-9+3x = -10+6

-4+3x = -4

+4 .       +4 (Both sides)

3x = 0

/3    /3 . (divide both sides by 3)

x=0

Find mZTUV if mZTUB = 229
and mZBUV = 156°
Solve
B
180°
78°
134°
178°

Answers

I wish I could help you but I’m not smart enough so I hope someone comes around and lends you a hand. Good luck!

evaluate 2r +1 if r=3

Answers

Answer:

7

Step-by-step explanation:

So, substitute in your 4 for r, 2(3) + 1. Multiply 2 and 3 to get 6 and then add a to get 7. I hope this helps :)

help! thank you!!!!!!!!!!!!!!!

Answers

Answer:

4 ft by 8 ft

Step-by-step explanation:

Answer:

D. 4ft by 10ft

Step-by-step explanation:

Since each square represents 4 feet and the door is 2 blocks plus a bit up it can't be 8 ft since 8ft would only be 2 blocks exactly, this also rules out B since 12 ft would need to be 3 blocks high. this leaves A and D. The third square is only half of a normal square which means its half of 4, 2. You add this to 8 to get 10.

Determine if 7x – 4 and 2x + 1 are factors of
k (2) = 7x4 – 423

Answers

it’s not the first question = 3(3x-1) and the second one = -395 not equivalent

HELP ME WITH THIS PLEASE

Answers

Answer:

2x+11=25

7

Step-by-step explanation:

I think of a number (x) and double it (multiply it by 2) and then add 11

put this all together and get

2x+11=25

Solve for x

2x=14

x=7

Answer:

2x+11=25

Step-by-step explanation:

x=7

evaluate the expression 3^4 divided by (14 - 5) x 2

PLEASE HELP ASAP!

Answers

Answer:

= 18

Step-by-step explanation:

hope this helped

Find the slope and y-intercept of the line represented by the table.
.
Please help me

Answers

Step-by-step explanation:

I cant see the question but use the formula

y=mx+b

m=slope

b=y-intercept

you can also use the equation

y2-y1/x2-x1 to find slope.

since its a table, you can plug the x (input) and y (output) coordinates of the table to find the slope.

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