The book fair is this week, and there's a special deal for teachers. For every 5 hardcover
books a teacher buys, he or she can get 2 paperback books for free. Ms. Baldwin is buying 35
hardcover books for her classroom library.
How many paperback books will Ms. Baldwin get for free?
paperback books

Answers

Answer 1

Answer:14

Step-by-step explanation:

Answer 2

A ratio shows us the number of times a number contains another number. The number of paperback books Ms. Baldwin get for free is 14.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Since For every 5 hardcover books a teacher buys, he or she can get 2 paperback books for free. Therefore, the ratio of hardcover books to paperback books will be,

Hardcover/paperback = 5/2

Using the same ratio for 35 hardcover books,

35/Paperbook = 5/2

(35×2)/5 =Paperbook

Paperbook = 14

Hence, the number of paperback books Ms. Baldwin get for free is 14.

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Related Questions

Find the distance between (1,−4) and (−4,1).
The distance is ??? units.

Answers

Answer with step-by-step explanation:

Distance: 7.071068

Mercury travels about 107,100 miles per hour as it revolves around the Sun. How far does Mercury travel in 15 seconds?

Answers

Answer:     170,100 divided by 15=11,340

Step-by-step explanation:

Mercury will travel 446.25 miles in 15 seconds as it revolves around the Sun.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE have given that Mercury travels about 107,100 miles per hour as it revolves around the Sun.

Miles travelled in 1h = 107,100

Miles travelled in 1 sec = 107,100 /3600

= 29.75

Miles travelled in 15 seconds = 29.75 × 15

= 446.25 miles

Therefore, Mercury will travel 446.25 miles in 15 seconds as it revolves around the Sun.

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-1,-4,-7,-10 write an equation to find the nth term of each sequence. Then find a24

Answers

Answer:

[tex]\boxed {a_{24} = - 70}[/tex]

Step-by-step explanation:

According to the following pattern sequence ([tex]-1, -4, -7, -10[/tex] ), it is Arithmetic Sequence, because every negative number is subtracted by [tex]3[/tex]. So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:

[tex]a_{n} = a_{1} + (n - 1) d[/tex]

[tex]a_{n}[/tex]: nth term in the sequence

[tex]a_{1}[/tex]: 1st term

[tex]n[/tex]: term position

[tex]d[/tex]: Common difference

-Apply to the formula:

[tex]a_{24} = -1 - 3 (24 - 1)[/tex]

[tex]a_{n} = a_{24}[/tex]

[tex]a_{1} = -1[/tex]

[tex]n = 24[/tex]

[tex]d = -3[/tex]

-Solve:

[tex]a_{24} = -1 - 3 (24 - 1)[/tex]

[tex]a_{24} = -1 - 3 (23)[/tex]

[tex]a_{24} = -1 - 69[/tex]

[tex]\boxed {a_{24} = - 70}[/tex]

Therefore, the 24th term is [tex]-70[/tex].

Write the algebraic expression (ex. 2x - 5) for this problem:
The quotient of a number and 8​

Answers

Answer:

x/8

Step-by-step explanation:

Write the following equation in slope intercept form.

3x-3y=33

y= x+

Answers

Answer:

The equation in slope intercept form is y = x - 11

1.5 x 104 : 2.5 x 10?

Answers

Answer:

156:25

Step-by-step explanation:

Answer:

1.5 times 104=156

2.5 times 10=25

Step-by-step explanation

Do these side lengths make a triangle?

6, 10, 15

Answers

Answer:

No.

Step-by-step explanation:

They do not create a triangle because if you follow the expression: a^2+b^2=c^2 it does not equal. Hope I helped :)

Answer:

a^2 + b^2 = c^2  - Pythagorean Theorem

6^2 + 10^2 = 15^2

36 + 100 = 225

136 doesn't equal 225

So, no, the sides lengths don't make a triangle.

Khan academy identifying supplementary, complementary, and vertical angles

Answers

Answer: Angles that have different sums .

Step-by-step explanation: Complementary angles are two angles with a sum of 90º. Supplementary angles are two angles with a sum of 180º. Vertical angles are two angles whose sides form two pairs of opposite rays.

Which best explains the relationship between the two triangles below? Triangle D C A. Angle D is 51.2 degrees and angle A is 96.5 degrees. Triangle S R T. Angle S is 32.3 degrees and angle R is 96.5 degrees. Triangle A D C is similar to triangle R T S because Angle A is congruent to angle R, Angle C is congruent to angle S, and Angle D is congruent to angle T. Triangle A D C is similar to triangle R T S because Angle A is similar to angle R, Angle C is similar to angle S, and Angle D is similar to angle T. Triangle A D C is not similar to Triangle R T S because Angle D is not congruent to Angle S. Triangle A D C is not similar to Triangle R T S because C D less than S T, D A less than T R, and C A less than S R.

Answers

Answer:

Answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i just take the test

Which graph represents the equation Cost = Number of toppings x 2 + 3

Answers

Answer:

the third graph

Step-by-step explanation:

its the only one that has a y intercept of 3 and if you plug in each of the values of x it is correct

what are all the answers to this screenshot

Answers

Answer:

b. 0.1 difference

c. 1.04 times

d. 6th, 8th, 7th

the graph shows the function f(x) = 2^x.what is the value of x when f(x) = 4​

Answers

Answer: answer is 2

Step-by-step explanation:

Solve 2x < 10. Explain how to find the solution set.

Answers

Answer:

x < 5

Step-by-step explanation:

2x < 10

x < 5

I hope this helped!

Required solution set is x < 5.

What is inequality?

In mathematics, an inequality is a relationship that compares two numbers or other mathematical expressions unequally.[1] It is most often used to compare two numbers by their size. Several different notations are used to denote different types of inequality:

The notation a < b means that a is less than b.

Notation a > b means that a is greater than b.

In both cases, a is not equal to b. These relationships are known as strict inequalities,meaning that a is strictly less than or strictly greater than b. Equivalence is excluded.

Unlike strict inequalities, there are two types of inequalities that are not strict:

The notation a ≤ b or a ⩽ b means that a is less than or equal to b (or equivalently at most b or not greater than b).

The notation a ≥ b or a ⩾ b means that a is greater than or equal to b (or equivalently at least b or not less than b).

A ratio that is not greater than can also be represented as a ≯ b, with the "greater than" symbol separated by a slash "not". The same is also true for no less than and a ≮ b.

The notation a ≠ b means that a is not equal to b; this difference is sometimes considered a form of strict inequality.It does not say that one is greater than the other; it does not even require that a and b be members of an ordered set.

Here given,[tex]2x < 10[/tex]

We want to find solution set of 2x < 10

Now,2x < 10

First we are dividing both side by 2 and get,

[tex] \frac{2x}{2} < \frac{10}{2} \\ x < 5[/tex]

Therefore,required solution is x < 5.

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Do yall know the answer?

Answers

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

pls help ASAP! Thank you! (10) points.

Answers

Answer:

Quadratic polynomial function

Step-by-step explanation:

Hope This Hels!

Plz Mark Brainliest!

Cells are made up of?

Group of answer choices

organs

minerals

animals

organelles

Answers

Answer:

organaelles can i have brainlyest?

ik i didnt spell right

Step-by-step explanation:

Criss cross algebra
Question : what is =
7/3 = N/21

Answers

Answer:

n=49

Step-by-step explanation:

The answer is N=49.

(Hope this helps)

Explain exponential equations. DO NOT COPY + PASTE!! I will check

Answers

Answer:

Step-by-step explanation:

exponential equation has the same base on each side, the exponents must be equal. This also applies when the exponents are algebraic expressions. Therefore, we can solve many exponential equations by using the rules of exponents to rewrite each side as a power with the same base. Then we use the fact that exponential functions are one-to-one to set the exponents equal to one another and solve for the unknown.

CAN SOMEPLZ HELP ME I RLY NEED HELP

Answers

There would be a total cost of 15 dollars because when you plug in 395= 24n +35 you solve for N and you end up with 360=24n and you divide by 24 and you end up with n=15

HELP!!!!!!!!!!!!!!!!!!!!! I WILL LOVE YOU FOREVER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The area of the shaded region is (blank)
yd2.

**Use 3.14 as the approximation for pi**

Answers

Answer:

79.74

Step-by-step explanation:

Multiply 6 by 12 and that by 2:

(6 × 12) × 2 - (6 × 6) = 72 × 2 - 36= 144 - 36 = 108

That will be the equation for the shaded area besides the circle now lets calculate the circle and take it away from the equation. the circle's diameter is 6 so the radius should be 3, then use:

3 × 3 × 3.14 = 9 × 3.14 = 28.26

Then do this:

108 - 28.26 = 79.74

There you have it!

Determine which pair of rates are equivalent.

A. $2.00 for 5 cookies; $6.00 for 20 cookies

B. $2.00 for 5 cookies; $8.00 for 10 cookies

C. $2.00 for 5 cookies; $6.00 for 10 cookies

D. $2.00 for 5 cookies; $8.00 for 20 cookies

Answers

Answer:

The answer is D

D step by step
Do 2.00/5 to get .40
Then do 20/8.00 to get .40
To check do .4 x20 and .4x5

Find the y-intercept in the function: 3x - 2y = 6*​

Answers

0, -3 will be your answer

hi there! the y-intercept in the function is...

3 + 3x/2

hope this helped. have a good one!

Solve 12-5x-4kx=y for x

Answers

Answer:

x  = - y-12/5+4k

Step-by-step explanation:

Solve 12-5x-4kx=y for x

12-5x-4kx  =  y for x

substract 12 from both side

   -5x-4kx  =  y-12

Factor of -5x-4kx = -x(5+4k)

   -x(5+4k) =  y-12

Solve for x

             -x =  y-12/(5+4k)

Therefore x = - y-12/5+4k

Which function has real zeros at x = 3 and x = 7?
f(x) = x2 + 4x – 21
f(x) = x2 - 4x – 21
f(x) = x2 – 10x + 21
f(x) = x2 – 10x - 21

Answers

The answers is the 3rd one f(x)=x2-10x+21 hope this helps :)

Answer:

C: f(x) = x2 – 10x + 21

I cant get this!! are u able to??


PLEASEEE help i really need the help!
Which of the following equation has a graph of below?





y=23−3

Answers

9514 1404 393

Answer:

  y = -2/3x +3

Step-by-step explanation:

The graph drops 2 grid squares for each 3 to the right, so its slope is -2/3. The line crosses the y-axis at y=3, so that is the y-intercept.

In slope-intercept form the equation of the line is ...

  y = -2/3x +3

write the equation of a line parallel to the line with an equation y=8x+6 and passes through the point (3,9)​

Answers

Answer:

y = 8x - 15

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 8x + 6 ← is in slope- intercept form

with slope m = 8

Parallel lines have equal slopes, thus

y = 8x + c ← is the partial equation

To find c substitute (3, 9) into the partial equation

9 = 24 + c ⇒ c = 9 - 24 = - 15

y = 8x - 15 ← equation of parallel line

Lemonade was on sale last week ;it cost $12 for every 4 packs of lemonade.How much do 2 packs of lemonade cost

Answers

Answer:

$6

Step-by-step explanation:

Each pack is $3

So therefore if you multiply 2($3) it is $6 for two packs

Have you gotten the answer to this problem yet

Function P models the profit, P(), a fitness company earns for making and selling water bottles.
P(x) = -0.005(x + 40) (a – 20) (x - 200)(x + 5)
For which numbers of water bottles will the company's profit equal $0?

Answers

Answer:

the answer is 20 and 200 :)

Step-by-step explanation:

Numbers of water bottles will the company's profit equal $0 is

: (x =40),  (x = 5)

What is the roots of equation?

The roots of equation are the values of the variable that satisfy the equation.

Given,

P(x) = -0.005(x + 40) (x – 20) (x - 200)(x + 5)

P(x) = 0.005(x - 40) (x + 20) (x + 200)(x - 5)

According to question,

P(x) = 0

So (x - 40) (x + 20) (x + 200)(x - 5) = 0

(x =40) ,(x =-20), (x = -200), (x = 5)

Negative values cannot be taking,

So numbers of water bottles will the company's profit equal $0 is

: (x =40),  (x = 5)

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Using the Pythagorean Theorem What is the length of side C when a=8 and
b=15?

Answers

a^2+b^2=c^2

8^2+ 15^2 = c^2

64+225 = 289

c^2 = 289
(take the square root of both sides)

c= 17

ZA and ZB are vertical angles. If mZA = (4x + 14) and mZB = (5x – 5)°,
then find the measure of ZA.

Answers

Answer:

90°

Step-by-step explanation:

Since they are vertical angles, they equal eachother

4x+15=5x-5

add the 5 to both sides

4x+19=5x

subtract the 4x from both sides

x=19

Then you have to plug in 19 to find the measure of ZA

4(19)+14

76+14

90

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