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

7th grade math please helpp i have alot of questions due in 10mins​

Answers

Answer:

V=247.8

Step-by-step explanation:

V=whl

V = (4.2)(5)(11.8)

A bus going 45km/h travels nonstop from the northern end of town to the southern end of town in 15 minutes. How far does the bus travel?

Answers

Step-by-step explanation:

15 minutes = 0.25 hours.

Distance the bus travels

= (0.25h)(45km/h)

= 11.25km.

Ricardo ran 160 minutes last week at the park. If he runs 15% more this week,
how many total minutes will Ricardo run this week?

Answers

Answer:

Im pretty sure its 184 minutes

- 1 greater than or equal to x, and - 9 is less than x

Answers

Answer:

−1⩾x>9

Step-by-step explanation:

9 less than x simply means x is greater than 9

[tex] - 1 \geqslant x > 9[/tex]

mr. Kido purchased 5
footballs for his
physicd education
class. If he paid
$41.25. how much was
each football?

Help!!

Answers

Answer:

8.25

Step-by-step explanation:

Answer:

$8.25

Step-by-step explanation:

Divide: 41.25 divided by 5

41.25 divided by 5=8.25

$8.25

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/afternoon/night!!!

just answer with the scale factor pleaseee ​

Answers

1.5 :)

Step-by-step explanation:

you would divide the 2 numbers, then youre left with the sf

Write the equation of the line passing through the point (3, 5) that is
PEREPENDICULAR to y = -3/4x + 5 in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

perp. 4/3

y - 5 = 4/3(x - 3)

y - 5 = 4/3x - 4

y = 4/3x + 1

PLEASEEEEEE HELPP ME EEEE :)

Answers

It’s true:) hope this helps
Pretty sure it’s True

Find the volume of the cylinder. Use 3.14 for pi. Round your answer to the nearest tenth.

Answers

Answer:

The formula for the volume of a cylinder is V=Bh (where B is the base) or V=πr2h . The radius of the cylinder is 9 ft and the height is 6 ft. Substitute 9 for r and 6 for h in the formula V=πr2h = (3.14) (9) (2) (6) =339.12

Step-by-step explanation:

Now C=339.12 round to the nearest tenth is 339.1

If you combine 4x and -2x how many x's will we have left?​

Answers

Answer:

Step-by-step explanation:

4x+(-2x)=2x

Which linear equation is represented by the table? Please help me, I really don’t understand, thank you so much!!

Answers

Answer:

C) y=x+3

Step-by-step explanation:

I did it and got it right

Can someone help me with this question pls and thank you

Answers

Answer:

x>2

Step-by-step explanation:

Longer than two hours is >.

X>2 is the answer I think

(3g - 8) - (2g - 1) ...........

Answers

Answer:

g-7

Step-by-step explanation:

If Mia has brings 14 donuts to the party and Lizzy brings 14 also then how many cookie's is there all together

Answers

add the two donuts together, which is 28

Question 4
Solve the system of equations and choose the correct answer from the list of options.
x+y=-3
y = 2x + 2
A) ( 5/3,4/3)
B) (-5/3,-4/3)
C) (-2/5,-3/4)
D) ( 3/4,3/5)

Answers

I believe it’s C (-2/5,-3/4)

Find the value of x.
A
28
20
B
9x – 8
С

Answers

Answer:

The question is incorrect. please provide a diagram.

Is (4, 2) is the solution to the system below?
Explain how you know by recording an audio response or by showing your work.
y=2x-6
x+y=8

Answers

It is not a solution because when it is plugged into the second equation x+y=8, making it 4+2=8, it is not true.

I need help solving

Answers

Step-by-step explanation:

Divide a percentage by 100% to convert it.

=> (1/20%) / 100% = 0.0005 or 1/2000.

Jeannie got a new pair of eye glasses. She was able to pay $15 at the
time she received her glasses. She will pay $12 each month on the
balance. The original cost of the glasses was $87.
a. Write an equation to determine how many months it will take
Jeannie to pay for her glasses?

Answers

Answer:

Equation A. 12x=87

Write as a fraction with a whole number divisor: 35.7 ÷ 0.07

Answers

Answer:

510  

that the whole number

which equation matches the graph of the greatest integer fiction giving below? a p e x

Answers

Answer:

A P E X  < CS

Step-by-step explanation:

simple

There are 1,240 skittles in a bag, 25% are blue, .22 are red, 1/3 yellow and 1/5 are purple. Which color is least likely to be picked?

Answers

purple is the correct answer

Step-by-step explanation:

[tex] \frac{1}{3} = 0.3333...[/tex]

[tex] \frac{1}{ 5} = 0.2[/tex]

[tex]25\% = 0.25[/tex]

0.22=0.22

[tex]0.2 < 0.22 < 0.25 < 0.33...[/tex]

0.2 (1/5)/ purple is the least likely.

A function is shown
f(x)=2/3x+3 what is the value of f(12)

Answers

Answer:

11

Step-by-step explanation:

f(12) = 2/3x+3

So, replace x with 12.

2/3(12) + 3

2/3 x 12 = 8

8 + 3 = 11

Lin runs 5 laps a track in six minutes how many minutes per lap is that

Answers

Answer:

1.2 minutes

Step-by-step explanation:

6 divided by 5 = 1.2

To do this, you take the total number of minutes, which is 6, and divide by the number of laps that Lin ran, which was 5.

Answer:

1.2 minutes

Step-by-step explanation:

5 laps/6 minutes = 1 lap/x minutes

To convert the ratio from 5 laps to one laps, 5 was divided by 5. Therefore, to keep the same ratio, 6 must also be divided by 5, making the answer:

1 lap/1.2 minutes

Solve equation by using the quadratic formula.
2 x squared minus 5 x = 7
a.
x = StartFraction 2 Over 7 EndFraction, negative 1
c.
x = StartFraction 7 Over 2 EndFraction, negative 1
b.
x = StartFraction 2 Over 7 EndFraction, 0
d.
x = StartFraction 2 Over 7 EndFraction, 1

Answers

Answer:

Do you need all of them?

Step-by-step explanation:

Answer:

C) x=7/2,-1

Step-by-step explanation:

just took the pretest got this right

At a hot dog stand they serve regular hot dogs and footling hot dogs at a ratio of 5 to 3. Based on this ratio how many footlong hot dogs will be served if there is a total of 120 hot dogs served.

Answers

Answer:
45
Step-by-step explanation:
Ratio is 5:3
So total ratio "parts" is 5 + 3 = 8
In total there are 120 dogs served, so each part is:
120/8 = 15 dogs
Since, footlong hot dogs are "3" parts, and each part is 15 dogs, there will be:

3 * 15 = 45 footlong hotdogs

What inverse operation should be used to isolate the variable in the equation j ÷ 12 = 50?

Answers

Answer:

multiplication...

Step-by-step explanation:

50 x 12 = 600

SO...

j = 600

SOO...

600 / 12 = 50

there u go

can i be brainiest...

Multiplication should be the correct answer

How many degrees is -6.2 rotations clockwise

Answers

answer: −2,232°
explanation:
360°(-6.2) = −2,232°

Find the area of the composite figure?


Answers

Answer:

128

Step-by-step explanation:

Let's start by figuring out the last side of the triangle

we can use the pathagoryous theroem and get

11.9²+x²=16.9²

Solve this and get x=12

Let's now compute the area of the triangle

b*h*.5

12*11.9*.5=71.4

So 71.4 is the area of the triangle

we now need to find the area of the semi circle.

to do this we are going to find the area and then divide it by 2

We know that the length is equal to 12 which means that the radius is 6

so we have

π6²/2

which is 56.55

We add the 71.4+56.55= 127.94 which rounds to 128

Answer:

212.758

Step-by-step explanation:

Find the semi-circle first, the diameter is 16.9 ft.

To find area:

Formula:

pi x radius x radius x 1/2

16.9 ÷ 2 = 8.45 (radius)

22/7 x 8.45 x 8.45 = 224.407 (Circle)

224.407 ÷ 2 = 112.203 (Semi circle)

Find the triangle:

1/2 x base x height or length x base x height

But for now, we will use the first one.

1/2 x 16.9 x 11.9 = 100.555

Now add them up.

100.555 + 112.203 = 212.758

(I don't know what units you to put for your answer since I don't learn American mathematics, so it's up to you)

Please help whats the error ​

Answers

Answer:

x=20°

Step-by-step explanation:

5x°=100° ----because they are vertically opposite angles

x=100/5

x=20°

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