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3 years ago

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You have a certain number of books in your library. You bought more books to triple your amount, then decide to give 14 away to

your local school. You then give half of your remaining books away to charity. You end with 8 books left. How many books did you start with?

1 answer:

Nastasia [14]3 years ago

8 0

Answer:

10 :)

Step-by-step explanation:

(3x - 14) / 2 = 8

3x - 14 = 16

3x = 30

x = 10

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You take a random token from a bag that contains 44? red, 1414? green, and 66? blue tokens. What is the probability your token i

german

Answer:

11/381

Step-by-step explanation:

Not sure what the ? after each number means but I'm going to assume they aren't there

so we need find the number of tokens in all which is

44+1414+66=1524

P(red)=44/1524 now reduce giving P(red)=11/381

5 0

3 years ago

Read 2 more answers

Find the compound interest on 50000 for 9 month at 8 %

Ahat [919]

Answer:The answer is 5, 414.52

Step-by-step explanation:

Since number of years isn't imputed, it will be assumed it's for 1 year

Hence using Compound interest formula

A = P( 1 + r/n)^not

Inputting values

A = 5000( 1 + 0.08/9) ^ 9*1

A = 5, 414.52

Hope this helps

7 0

3 years ago

Which ordered pairs are solutions to the inequality y - 3x < -8?

7nadin3 [17]

Answer:

Option B,C and E are solution to given inequality $y - 3x < -8$

Step-by-step explanation:

We need to check which ordered pairs from given options satisfy the inequality $y - 3x < -8$

Ordered pairs are solutions to inequality if they satisfy the inequality

Checking each options by pitting values of x and y in given inequality

A ) (1, -5)

$-5-3(1)$

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

B) (-3, - 2)

$-2-3(-3) < -8\\-2-9$

So, this ordered pair is solution of inequality as it satisfies the inequality.

C) (0, -9)

$-9-3(0)$

So, this ordered pair is solution of inequality as it satisfies the inequality.

D) (2, -1)

$-1-3(2)$

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

E) (5, 4)

$4-3(5)$

So, this ordered pair is solution of inequality as it satisfies the inequality.

So, Option B,C and E are solution to given inequality $y - 3x < -8$

6 0

3 years ago

a rectangular storage container without a lid is to have a volume of 10 m3. the length of its base is twice the width. material

victus00 [196]

245.31 (dollars) is the cost (in dollars) of materials for the least expensive such container.

<h3>What is maxima and minima ? </h3>

Calculus maxima and minima are found using the concept of derivatives. Knowing that the derivative concept gives information about the slope/slope of a function, we find the point where the slope is zero. These points are called inflection points/stationary points. These are the points associated with the maximum or minimum (local) values of the function.

Knowledge of maxima and minima is essential for our everyday problems. In addition, this article also explains how to find the absolute maximum and minimum values.

Solvable maximum and minimum arithmetic problems are discussed in this article.

<h3>Calculation</h3>

Suppose the width is x (m), length of the base is 2x (m), the base area is 2x^2 (m^2).

Since the volume is 10 (m^3), the height has to be 10/2x^2 (m) = 5/x^2.

The cost of making such container is

cost of base: 2x^2*15 = 30x^2

cost of sides: (2*2x*5/x^2 + 2*x*5/x^2)*9 = 270/x

The overall cost is hence the sum of the base and the sides: f(x) = 30x^2 + 270/x

The get the minimum,

df(x)/dx = 30*(2x - 9/x^2) = 0

so x = (9/2)^(1/3) = 1.651 (m)

f(x) = 245.31 (dollars)

learn more about maxima and minima here :

brainly.com/question/17467131

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8 0

1 year ago

Fred walked 20 miles in 8 days. If he continues walking at this rate, how many miles will he walk in 4 weeks? Be sure to set up

mamaluj [8]

Answer:

70

Step-by-step explanation:

First, to find the constant rate divided 20 miles by 8 days.

20 ÷ 8 = 2.5

Then, we know that in one week there are seven days so we multiply 2.5 x 7

2.5 x 7 = 17.5

Lastly, multiply 17.5 times 4

17.5 x 4 = 70

MARK BRAINLIEST IF IM RIGHT PLEASE HAPPY TO HELP. HAPPY EARLY THANKSGIVING!!!!!

8 0

3 years ago