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

3. Triangle ABC has angle measures as noted below. Please note this triangle is not drawn to scale, and the longest leg of the figure may not be the longest leg of the actual triangle.
You will need to use the expressions for the angles given below.
A) 2(x + 15) B) 3x+10 C) 5x
(a) Identify the angle relationship and setup your equation with the given expressions.
(b) What is the value of x? Show your work.
(c) What is the measure of angle A, B, & C? Show your work and make sure to identify which is which.

Answers

Answer:

I only know B and C

Step-by-step explanation:

Part B)

2 (x+15) + 3x + 10+ 5x = 180        2x + 30 + 3x + 10 +5x = 180           10 +40 = 180

- 40 -40            10x divided by 10 = 140 divided by 10             x= 14

Part C)

A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees

< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees

< C = 5 x = 5 * 14 = 70 degrees

Five chicken nuggets have 135 calories. How many calories are in 9 chicken nuggets

Answers

Answer:

243 calories

Step-by-step explanation:

A woodworker wants to cut a board that is 8.225 feet long into 5 equal-length pieces.How long will each of the cut boards be?



A. 0.1645
B. 1.645
C. 4.1125
D. 41.125

Answers

The answer would be B. 1.645 because 8.225/5=1.645

Hope this helps

Have a great day/night

Feel free to ask any questions

Find the measure of the missing angles.
50

Answers

Answer:

B 50 C 130

Step-by-step explanation:


m : _____
b : _____
Equation : ______

PLEASE HELP ME !!!

Answers

Answer:are you saying mx+b

Step-by-step explanation: hopefully that helps you mark me brainlest please

and like

Help!! Will give brainliest

Answers

Answer:

c

Step-by-step explanation:

c

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

Multiply. Write your answer in simplest form.
[tex] \frac{1}{8} \times \frac{1}{2} [/tex]
[tex] \frac{2}{3} \times \frac{4}{5} [/tex]
[tex] \frac{3}{10} \times \frac{5}{6} [/tex]

Answers

1.
1/16 or .0625

2.
8/15 or .53

3.
1/4 or .25


Hope it helps :)

Answer:

1.

1/16 or .0625

2.

8/15 or .53

3.

1/4 or .25

Step-by-step explanation:

hope it helps bro

A quadrilateral has two angles that measure 240° and 70°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

Answers

Answer:

The two missing angles are 20 and 30 degrees.

Step-by-step explanation:

Quadrilaterals have four interior angles that add up to 360 degrees.

So we have two angles that are 240 degrees and 70 degrees.

If 240 + 70 = 310

That means the other two angles added together must be equal 50.

Because 360 - 310 = 50

So their ratio is 2:3 which means they have five equal parts.

Which would mean 50/5 = 10

2 x 10 = 20

3 x 10 =30

This means the missing angles are 20 and 30 degrees.

Hope this helped you!

HELP I NEED HELP ASAP

Answers

15 hope this helps you

Find the value of f(5) for the function f(x) = 6 +3x

Answers

Answer:

21

Step-by-step explanation:

f(x) = 6+3x

f(5) = 6+3(5)

= 6 + 15

= 21

Hope it helps

The value would be 21!

6+3(5)
6+15
21

2x+2y=18
x=3-y
you have to use the substitution method I know its easy but I struggle with math can someone please help me!!! TY

Answers

Answer:

The equation has no solution

if you click the image it will show you why the equation has no solution. I really hope this helps you.

Chris bought 2 chicken sandwiches and 3 bowls of vegetable soup for $16.50. Jim bought 1 chicken sandwich and 2 bowls of vegetable soup for $9.50. What was the cost of a bowl of soup? A) $4.50 B) $2.50 C) $5.50 D) $3.25​

Answers

Answer:

Step-by-step explanation:

This is a system of equations, best solved by using the elimination method. But first we have to come up with our 2 equations that represent the system. Let's call the chicken sandwiches "c" and the bowls of soup "b".

If Chris bought 2 chicken sandwiches and 3 bowls of soup for $16.50, his equation is:

2c + 3b = 16.50

If Jim bought 1 sandwich and 2 bowls of soup for $9.50, then his equation is:

1c + 2b = 9.50

We put these together, one above the other, lining up the variables:

2c + 3b = 16.50

1c + 2b =   9.50

If we multiply the second equation by -2 we can eliminate the c variable. Multiplying the second equation by -2 changes only that equation, making the "new" system:

2c + 3b = 16.50

-2c - 4b = -19.00

When we add straight down each column, the c's cancel each other out (they subtract away) and in the b column we have -1b, and in the answer column, we have -2.50.

That equation is -b = -2.50 or b = 2.50

A bowl of soup costs $2.50, choice B

Write the coordinates of the vertices after a rotation 270° counterclockwise around the origin.
y
x
-10
10
-10
10
0
K
L
M


K(0, 5)

K′(
,
)
L(7, 5)

L′(
,
)
M(1, 7)

M′(
,
)

Answers

Answer:

YOUR ANSWER IS 45675675

Step-by-step explanation:

you are buying decorations for a birthday party. the before tax total for 3 rolls of crepe paper and 20 balloons is $11.40. after you start decorating, you need more supplies. you buy 2 more rolls of crepe paper and 10 more balloons for $7.20 before tax. how much did each cost?

please help with an explanation.

Answers

Answer & Step-by-step explanation:

Let's have

C = Creepers

B = Balloons

1) 6C + 20B = 11.9  

2) 2C + 15B = 6.05

Eliminate

16C + 20B = 11.9 x3  

-2C + 15B = 6.05 x4

18C + 60B = 35.7  

-8C + 60B = 24.2

10C/10 = 11.5/10  

C = 1.15

solve the inequality G-13<19

Answers

Answer:

The answer is G < 32

Step-by-step explanation:

G - 13 < 19

(Move numbers to on side)

G - 13 + 13 < 19 + 13

(Simplify)

G < 32

I hope this helps :)

Jill flipped a coin 40 times. The coin landed as heads 28 times and tails 12 times. Based on her results, which of the following is true?
A. If she flips the coin 20 more times, it will land as heads 14 times.
B. The next time she flips the coin it will land as heads.
C. The theoretical probability of a coin landing as heads is greater than her results.
D.The experimental probability of the coin landing as heads was 7 to 10.​

Answers

Answer:

There are many conclusions we can come to for this!

70% of the flips were heads, and 30% are tails

28/40 was heads, and 12/40 were tails

There were more heads than tails

There were 14 more heads than tails

:)

Step-by-step explanation:

Help Please Slope!!!!

Answers

Answer: 1/2

Step-by-step explanation:

Answer:

The slope is -[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The rate of change (the slope) is up one and left two, which would be [tex]\frac{1}{-2}[/tex] or just -[tex]\frac{1}{2}[/tex].

I would appreciate brainliest but if not that's ok!

Pauline is making trail mix. She adds 4 cups of almonds, 3 cups of sunflower seeds, and 1 cup of raisins. What is the ratio of cups of raisins to cups of almonds?

Answers

1/4 is the ration of cups of raisins to almonds.
Hope this helps.

Answer:

1/4

i think

this may not be the answer, but it appears correct.

Please help me, with the last algebra questions I have. And just to note,
a= 2, b= 3, and c=4.

*25 points, + brainiest.*
*Algebra question.*

Answers

Answer:

5 is 14

6 is 10

7 i cant really see it well but i believe is is -4

Step-by-step explanation:

Answer:

Solve for the missing components of the triangle.

A

=

28.95502437

B

=

46.56746344

C

=

104.47751218

a

=

2

b

=

3

c

=

4

Step-by-step explanation:

Find the measure of the missing angles. Need help ASAP

Answers

Answer:

I don't see the photo. Can't help OOF

Step-by-step explanation:

Help Please!! On the 1st and 2nd one. just the decent and independent variable and the equation please!

Answers

hi, did you attach the picture for it?

Seth is a gold miner. The function P = 45g + 15 represents the amount of money he gets for each gram, g, of gold. If he finds a nugget, the value of the nugget is 1.5 times the value of the weight of gold. The function B = 1.5P represents the amount of money for a gold nugget. Which function represents the amount of money for a gold nugget weighing g grams?

Answers

Answer: 67.5G + 22.5

Step-by-step explanation:

What is the mode and range of the data set
18,22,20,21,24

Answers

I know the range it is 6

Answer:

There is NO mode.

The range is 6.

Step-by-step explanation:

Mode is the most frequent number and in this case there are no repetitive numbers.

Range is the Max Number minus the Minimum Number. So in this case 24-18 which equals 6.

1/3y y = 15
please help

Answers

Answer:

Step-by-step explanation:

y in (-oo:+oo)

(1/3)*y = 15 // - 15

(1/3)*y-15 = 0

1/3*y-15 = 0 // + 15

1/3*y = 15 // : 1/3

y = 15/1/3

y = 45

y = 45

Answer: The answer is five

Step-by-step explanation: This is because if the equasion is 1/3 x y and y=15 than the equasion is 1/3 x 15 or 1/3 x 15/1 which is 5

The radius of the circle on a basketball court is 6 feet. What are the approximate circumstance and area of the circle?

Answers

Answer:

C= 38 in Approx

A=113 in^2 Aprprox

Step-by-step explanation:

Given data

radius= 6 ft

Circumference, C=2πr

substitute

C=2*3.142*6

C=37.704 in

Area A= πr^2

substitute

A=3.142*6^2

A=3.142*36

A=113.112 in^2

I have a spinner that is divided into 4 equal sections colored red, blue, green, and yellow .If I spin the spinner twice ,What is the probability that the spinner will land on yellow both times ?

Answers

Answer:

is of 25%

Step-by-step explanation:

The probability that the spinner will land on yellow both times is 1/16.

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, A spinner is divided into 4 equal sections colored red, blue, and green.

So, N(S) = 4 and N(R) = 1, N(B) = 1, N(G) = 1 and N(Y) = 1.

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

As the events of getting yellow both times is independent,

The likelihood that the spinner will hit yellow twice is,

P(Y, Y) = P(Y)×P(Y).

P(Y, Y) = (1/4)×(1/4).

P(Y, Y) = 1/16.

learn more about probability here :

https://brainly.com/question/743546

#SPJ2

Someone plz help me with both I will give brainliest

Answers

3- 4 x 1 / 5 x 8 = 4/ 5 x 8 = 4/ 40

5- 3 x 3/ 5 x 7 = 9/ 5 x 7 = 9/35

Answer

3.- *in order* 4,8,   4 aka- 4/40- 1/10

                               40

5.- *in order* 3/5 x 3/7 = 9/35

Step-by-step explanation:

you have to simplify 4/40 wich is 1/10 and the rest s self explanitory. hope this helped!!

6 is what percent of 9?

Answers

Answer:

33 1/3 %

Step-by-step explanation:

6/9 = 1/3 = 33 1/3 %

Hope that helps!

The 6 is approximately 66.67% of 9.

To calculate what percent 6 is of 9, we can use the following formula:

Percent = (Part / Whole) * 100

In this case, 6 is the part and 9 is the whole. Substituting these values into the formula:

Percent = (6 / 9) * 100

To simplify, we divide 6 by 9:

Percent = (2 / 3) * 100

Multiplying 2/3 by 100:

Percent = (2 * 100) / 3

Percent = 200 / 3

To express the result as a decimal:

Percent ≈ 66.67

Therefore, 6 is approximately 66.67% of 9.

To know more about Percent:

https://brainly.com/question/31323953


#SPJ6

can some help please lolz

Answers

Answer:

I believe the measurement of angle 5, would be 114.

Step-by-step explanation:

We can solve this by using alternate interior angles. First we must find the other alternate interior angle for angle 5. To do this we take 66 and subtract it from 180. We now find that the angle adjacent to the angle measuring 66 degrees is equal to 114 degrees.  Now, the angle we just found the measurements for, is the alternate interior angle for angle 5. Therefore, since they are alternate interior angles, angle 5 is equal to 114 degrees.

I hope this helps!

Determine how (if possible) the triangle can be proven similar:

Answers

Answer:

Not similar

Step-by-step explanation:

 You can only find the vertical angles at the intersection.

So, you know they share one angle.

That is not enough information to prove similarity.

Therefore, I'd say they're not similar.

Other Questions
I need help with my choir assignment ! Plz help The manager at a restaurant found that the cost to produce 150 cups of coffee is $21, while the cost to produce 300 cups of coffee is $36. assume the relationship between the cost y to produce x cups of coffee is linear.a.) write a linear equation that expresses the cost,y, in terms of the number of cups of coffee,x.b.) how many cups of coffee are produced if the cost of production is $56? Learning Task 2: Fill in the blanks. Write your answers Need help with math points and brainlest Identify the contributions made by Archimedes, Eratosthenes, and Hippocrates during the Hellenistic era.He estimatedthe circumferenceof Earth.He created a lever andpulley system to carryheavy objects.He observed thatEarth is round.He figured out howto determine thevolume of anyobject using water.He tried to find thecauses of illnesses.He created ethicalstandards fordoctors to follow. a table was listed $400 after discount.And the net price was $450.what is the rate discount and marked price? LOL PLS HELP ME WITH THIS AND EXPLAIN IT , BRIANLY POINTS TO WHOEVER DOES! One hundred forty-four of the 180 seventh-grade students attended the school dance last Saturday night. What percentage of seventh-grade students did NOT attend the dance? What is the length of the base of a right triangle with an area of 15 square meters and a height of 3 meters?5 m10 m30 m45 m The stagecoach driver gives Lyddie a little chip of Vermont granite (51). Granite is a type of rock. What is the metaphor here? Lyddie is ... A sad B weak C strong a factory has 8 more than 10 times as many doors as a school which has s doors. how many doors does the factory have Name 2 ways the Underground Railroad helped runaway slaves.HELP ME ASAPPP Rosa eats a peanut butter sandwich for lunch. Peanut butter contains a lot of protein, and bread is mostly starch. Rosa plans to go for a run later this afternoon. Rosa is breathing normally.What does she need from the food she ate and the air she breathes so that she can go on her run? How do Rosas body systems work together to get the molecules she needs into her cells? How do her cells use these molecules to release energy for her body to run? please help!!!! will give brainly!!!!say in Spanish:i like to spend time with my family on Diwali Identify whether the following infinitive in each sentence is a Noun, an Adjective, or a an Adverb.1. Their response was TO ECONOMIZE. *2. The director of the camp is the person TO NOTIFY. *3. Mr. Smith came TO TEACH me English. *4. My uncle bought me a cycle TO RIDE. *5. The aim of his life is TO SERVE the down-trodden people. *6. He was about TO SPEAK the truth. *7. I turned my face TO AVOID him *8. I'm happy TO HEAR you are well. *9. You came here TO STUDY. *10. It will be necessary TO INSPECT the property. * 644+4x UK362772T96LFind the value of x. m 15 graph the inequality Identify the choice that is a run-on sentence.A. There are many different types of tea: black, green, white, red, and dozens of flavored varieties.B. Chai is a type of Indian tea where black tea leaves are boiled with milk, sugar, and spices.C. After you stop to have a cup of tea, you become relaxed, refreshed, and more productive than you were before yourbreakD.Chanel prefers to take her tea with no sugar Alissa seems to drink more sugar and milk than tea. PLEASE HELP BRAINLIEST..this is the part of a vasular plant that is typically below ground level and has no leaves or nodes. its major functions are to anchor the plant and absorb water and nutrients=?? find x PLEASE HELPPP RIGHT NOW