Mathematics High School

The ratio of fiction to non-fiction books at school library is 3 to 5. If there are 240 books in the library how many non-fiction books are in the library?

Answers

Answer 1

Answer:

150

Step-by-step explanation:

The ratio is 3:5, so you can make this equation:

[tex]3x+5x=240[/tex], because for any integer x, the ratio will stay the same.

solve that:

[tex]3x+5x=240\\8x=240\\x=30[/tex]

We're not down yet!

we need to find 5x, not x.

[tex]5*30=150[/tex]

There are 150 non-fiction books in the library.

check!

150+90=240

Answer 2

The are 150 non-fiction books are in the library.

What is ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

The ratio of fiction to non-fiction books at school library is 3 to 5.

Total books = 240

So, the number of non fiction books

= 240 x 5/8

= 30 x5

= 150

Hence, there are 150 non fiction book.

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ2

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what does angle DFE= in degrees?
Type only number for answer​

Answers

answer: 40°

explanation: angle AFB and DFE are vertical angles meaning they share the same measurements

Consider the line y = x+4.
Find the equation of the line that is perpendicular to this line and passes through the point (-8, 6).
Find the equation of the line that is parallel to this line and passes through the point (-8, 6).

Answers

When finding the perpendicular slope, you wanna find the reciprocal of the slope and make it negative if it’s originally positive and positive if it’s originally negative. For instance, a slope of 2 would become -1/2. Hope this helps!

Dr. Ochoa's team attached a beam to the International Space Station creating a right angle. If the height of the International Space Station is 110 kilometers and the length of the attached beam is 75 kilometers, how far is the end of the beam from top of the International Space Station? Round your answer to nearest tenth of a kilometer.

Answers

133.1 kilometers

Step-by-step explanation:

F (x) = x^2 + 4x; Find f (−7)

Answers

Answer:

f(-7) = 21

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = x² + 4x

f(-7) is x = -7

Step 2: Solve

Substitute:                    f(-7) = (-7)² + 4(-7)Evaluate:                       f(-7) = 49 + 4(-7)Multiply:                        f(-7) = 49 - 28Subtract:                       f(-7) = 21

Henry left for the lake in the morning and it was 78°F.
When he arrived at the lake the temperature had increased
7° and by lunch it increased another 5°. What is the
temperature when Henry was eating lunch?

Answers

Answer:

The temputure is -64

Step-by-step explanation:

simplify (-sqrt of 125)^3

Answers

Answer:

5

Step-by-step explanation:

[tex]\sqrt[3]{125} =5*5*5=5[/tex]

I need help with this assignment

Answers

Answer:

1) 3x = 2x + 50

3x - 2x = 50

X= 50

2)6x = 2x + 44

6x - 2x = 44

4x = 44

divide both sides by 4

X = 11

3)8x = 2x + 36

8x - 2x = 36

4x = 36

divide both sides by 4

X = 9

4) 4x = X + 18

4x - X = 18

3x = 18

divide both sides by 3

X= 6

5) 7x + 10 = 3x + 120

collect like terms

7x - 3x = 120 - 10

4x = 110

divide both sides by 4

X = 27.5

6) 20 + 2x = X + 56

collect like terms

2x - X = 56 - 20

X = 36

7) already done

8)12x + 12 = 3x + 84

collect like terms

12x - 3x = 84 - 12

9x = 72

divide both sides by 9

X = 8

9) 3 + 6x = 2x + 27

collect like terms

6x - 2x = 27 - 3

4x = 24

divide both sides by the coefficient of X (4)

X = 6

10) 8x + 2 = 72 + X

collect like terms

8x - X = 72 - 2

7x = 70

divide both sides by the coefficient of X (7)

X = 10

11) 2x + 20 = X + 60

collect like terms

2x - X = 60 - 20

X = 40

12). 4x + 1 = 25 + 2x

collect like terms

4x - 2x = 25 - 1

2x = 24

divide both sides by the coefficient of X (2)

X = 12

I hope this helps

I need help please ​

Answers

(-5,1) is the correct answer or option c:)

Please anybody help please

Answers

Answer:

x= -3 and y = 6

Step-by-step explanation:

so basically what you are trying to do is reduce into finding x and y

what you do is you want to find a number to multiply one of the equations in order to get the same x or y value does not matter which

so,...

we can do

either 20x or 15y

we will go with the smallest 15y

so for both equations multiply the whole thing by 5 for the first equation and by 3 for the second

5 x 5x+3y=3 --> 1

3 x 4x+5y=18 --> 2

we then get

25x+15y = 15 -->1

12x + 15y = 54 -->2

then now that you have the same Y values you can subtract ! which cancels out both the 15y

25x+15y = 15 -->1

- 12x + 15y = 54 -->2

13x =-39

so now x=-3 and all you have to do with x = -3 is sub this into either one of the equations that you started with  !

x = -3

5(-3) +3y =3

-15 + 3y = 3

3y = 3+15

3y=18

y = 6!

44.8 is what percent of 160?

Answers

Answer:

28% .................

Answer:

28%

Step-by-step explanation:

100%/x%=160/44.8

(100/x)*x=(160/44.8)*x       - we multiply both sides of the equation by x

100=3.5714285714286*x       - we divide both sides of the equation by (3.5714285714286) to get x

100/3.5714285714286=x

28=x

x=28

now we have:

44.8 is 28% of 160

3*10^4+2.5*10^0
ghfuigffhh

Answers

Answer:

30002.5

Step-by-step explanation:

What is the first step in evaluating the expression shown below?
(12.9-3.1) 6.2-2 + 43

Answers

Answer:

Subtract 3.1 from 12.9

Hope it helped

IL GIVE BRAINLIST!! PLEASE HELP! THERES 2 ANSWERS JUST SAYING!!​

Answers

Answer: Option 2

Pls mark me brainilest!

Step-by-step explanation:

Brad had 10 crickets in his pet lizard’s cage. After one day, Brad’s lizard has eaten 20% of the crickets he had put in the cage. By the end of the next day, the lizard had eaten 25% of the remaining crickets. how many crickets were left in the cage at the end of the second day?

Answers

7.5 crickets left (I think)

20%=2

25%(of 2)=0.5

2+.5=2.5

10-2.5=7.5

Hope this helps:)

The tuition and fees at a two-year college are $135 per credit hour. If Tyler takes h credit-hours, write an expression for the cost of his tuition and fees.

Answers

Answer:

t=135h, where

t is the cost of tuition and fees

his the number of credit hours

Step-by-step explanation:

Given that the tuition and fees at a two-year college are $135 per credit hour, the expression to calculate the cost of Tyler's tuition and fees would indicate that is equal to the result of multiplying the price per credit hour for the number of hours:

t=135h, where

t is the cost of tuition and fees

his the number of credit hours

what expression is equal to(5+x-2)×2

Answers

If you simply the equation it would be 6+2x

2. The table shows distance, y, that Mario runs in x minutes.

Mario’s Running Speed

Time,

(min) Distance,

(mi)

7 | 1

21 | 3

35 | 5









(a) Based on the information in the table, write an equation that can be used to model the relationship between the time (x) and distance (y). Show your work.

(b) What is the rate of change for this linear relationship? Show your work.

(c) What is Mario’s distance given that he ran for 70 minutes? Show your work.

Answer:

Answers

Assuming the left is minutes and the right is distance, Mario runs 1 mile in 7 minutes
(a) y=x/7
(b) the rate of change is 7
(c) if he ran for 70 minutes then his distance is 10 miles.
*for (c) just plug in the number given. Replace it with x and divide it by 7.*

Same factory has supplies expenses of $1135.78 a day, in addition to the wages above and makes $60,128.72 in one week, what is the factory's total profit or loss in one week?

Answers

Given :

Factory has supplies expenses of $1135.78 a day.

Company earns $60,128.72 in one week.

To Find :

The factory's total profit or loss in one week.

Solution :

Expenses of factory of a week :

E =$( 1135.78 × 7 ) = $7950.46 .

Now, profit is given by :

P = $60,128.72 - $7950.46

P = $52178.26

Therefore, total profit of factory in one week is $52178.26 .

Hence, this is the required solution.

What is 2x+8x=6? Please answer accurately???

Answers

Answer:

x = 3/5

Step-by-step explanation:

2x + 8x = 6

10x = 6

x = 3/5

2x+8x=6
10x=6
6/10=0.6 or 3/5



3/5 or .6

What is 19,067 divided by 43​

Answers

It could be 443, try simplifying to the nearest hundreaths, hope this helps!

Answer:

so you are going to divide with  a calculator

19,067 divided by 43

equals 443.4186047 (simplify)

Step-by-step explanation:

can i have brainliest please

3x²=12 extracting square roots​

Answers

Answer:

x = ± 2

Step-by-step explanation:

Given

3x² = 12 ( divide both sides by 3 )

x² = 4 ( take the square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

I don’t understand.

Answers

Answer:

y = -2/3x

Step-by-step explanation:

A perpendicular line is the negative reverse of the slope of the other line. I'm not sure about the options you have there but hopefully this helps you get your answer.

Which inequality is shown in the graph?

Answers

Answer: 3ft²?

Step-by-step explanation:

The candidate that won received 80% of the 260 total votes. How many votes did the non-winning candidate receive?

PLEASE HELP I WILL GET YOU WHATEVER YOU WANT!!

Answers

Answer:

Step-by-step explanation:

20% of 260

Or 52 votes

the question is : (–7)(–5)

Answers

Answer: 35.

Step-by-step explanation: The parenthesis with no operation in between is multiplication. double negative makes a positive so its 7 times 5 which is 35.

PLEASE HELP ITS EASY MATH AND FIRST ONE WHOS CORRECT WILL GET BRAINLIST

Write an equation in slope-intercept form of the line that passes through the given points.

X Y
-2 , 2

0 , 2

2 , 2

4 , 2

Answers

Here are the steps to the answer. Answer: y=x+2

Answer: I think it's y=2??????

Step-by-step explanation: The shop would be 0, so there would be no x. The slope is zero because the y value never changes.

the 15% tip on craig's lunch bill came to $2.40 what was the amount of bill before the tip? show workouts​

Answers

Since the tip is 15% of some cost x, we can calculate that.
Remember to write the percent as a decimal for the calculations
Think of the tip as the question 2.40 is 15% of what number?

2.40/x = 15/100
Multiply both sides by x
2.40 = 15x/100
2.40 = 0.15x

So the tip 2.40 = 0.15x
Divide both sides 0.15 to solve for x
And that makes the cost before the tip 2.40/0.15 = 16.00
$16.00
The total bill for his lunch would be the cost before the tip plus the tip

We can calculate the final bill as $16.00 + $2.40 = $18.40

what is the equation of a line that is parralel to 2x+3y=3 and passes through the point (3,-4)​

Answers

3y=-2x+3
y=-2/3x+b

When you want to find the point that a line travels through, you always want to ignore the b value. Two lines are parallel if they have EXACTLY the same slope. Y-intercept does not matter.

Plug in the x and y in the equation

-4=-2/3(3)+b
-4=-2+b
-2=b

Equation: y=-2/3x-2

YALL BETTER ANSWER THIS PLSSSSSSSSSSS

Answers

Answer:

= 3/16(0.1875)

Step-by-step explanation:

explanation in the image.

Answer:

Step-by-step explanation:

Take out lignes

-1/4x-3/7

= -7/12

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