Mathematics High School


In 2013, a State Library received a three-year grant to add 69,678 books to their
collection. During a used book sale, the library sold 430 books. If the collection
now is five times more than the original number of books, how many books did
the library hold before it received the grant?

Answers

Answer 1

The number of books the library holds before it received the grant is 17,312 books

Let the original number of books in the library be x

If the State Library received a three-year grant to add 69,678 books to their collection, the total number of books will be x + 69,678

If during a used book sale, the library sold 430 books, the remaining books will be (x+69,678) - 430 = x + 69,248

If the collection  now is five times more than the original number of books, then;

x + 69,248 = 5x

5x - x = 69,248

4x = 69,248

x = 69,248 /4

x = 17,312

Hence the number of books the library holds before it received the grant is 17,312 books

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Related Questions

You barrow 300$ for 5 years at an interest of 4% what is the interest you paid

Answers

Answer:

$60

Step-by-step explanation:

There's not enough information. We need to know how often the interest is compounded. I'll assume it's yearly. If not, you can apply the same method to what it actually is.

If it's compounded yearly that means it's going to be compounded 5 times so the equation becomes.

5*(300*4%)

which is:

5*(300*.04)

which becomes:

5*12

Which is:

$60

Translate point C(-1,-2) using (y,x) -> (x+3,y-5) and then reflect over the x-axis

Answers

Step-by-step explanation:

Plot the point.

-1+3=2 and -2-5=-7

this is your new plot, (2,-7)

move the dot an equal distance across the x-axis, which is up and down.

evaluate f(x) = 5(x-4) when x=10

Answers

Answer:

Value of [tex]f(10)=30[/tex]

Step-by-step explanation:

We have

[tex]f(x) = 5(x-4)[/tex]

We need to find [tex]f(10)[/tex]

[tex]f(10) = 5(10-4)\\\\=5\cdot6\\\\=30[/tex]

What is the first step of the second step to prove that Sn arrow 1+2+3+..+n=n(n+1)/2?

Answers

Answer:

I'm pretty sure it's, "verify that Sn is valid for n=1". I think... lol.

Step-by-step explanation:

NEED HELP ASAP PLS ^^
Rearrange this equation
y+x=2

Answers

Answer:

y=-x+2

Step-by-step explanation:

y+x-x=2+x

y=-x+2

Can someone please help? This is difficult.

Answers

They intersect at a point called the centroid. See the attached sketch.

#1

Data se about speed dating include like ratings of male dates made by the female dates the summary statistics are n - 197


Please help will mark as brainliest

Will report if any links

Answers

Answer:

= 188, x = 7.89, s = 2.23

Step-by-step explanation:

= 188, x = 7.89, s = 2.23

If $7.80 if for 6 pairs of socks then how much is 1 pair of socks

Answers

Answer:

One pair of socks would be 1 dollar and 30 cents

Step-by-step explanation:

you divide the price of the socks by how many socks there are to get the answer.

help fast it due at 11pm

Answers

Answer:

multiplying 14/15 by 5 then dividing by 7

The information is on the image​

Answers

Answer:
-16
hope this helps

Write the integer from least to greatest. 4, 12, -12, -11

Answers

Answer:

-12, -11, 4, 12

Step-by-step explanation:

A negative number is less the higher it is, and a positive number is more the higher it is

Salena is making bracelets. She has 95 inches of string. Each bracelet uses 4 inches of string.

Answers

Answer:

23 bracelets

Step-by-step explanation:

I am assuming that we need to find how many bracelets she can make.

Each bracelet uses 4 in of string, so we would have to divide 95 by 4.

95/4 = 23.75

Salena should have enough to make 23 bracelets.

Hope this helps.

The number of bracelets will be equal to 23 bracelets.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Salena is making bracelets. She has 95 inches of string. Each bracelet uses 4 inches of string.

The number of bracelets will be calculated as

Number = 95/4

Divide the number 95 by 4,

Number = 23.75

The required number of bracelets is 23.

To know more about an expression follow

https://brainly.com/question/24976972

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While flying against the wind, the plane covered 1800 km in 2 hours and 40 minutes. On the return flight it spent 16 minutes less because the plane was moving on the direction of the wind. What was the speed of the wind and the speed of the plane?

Answers

Answer:

PLANE SPEED --

While flying against the wind - 675 km/h

While flying along with the wind - 750 km/h

WIND SPEED --

Speed of the wind - EXPLANATORY LOOK AT ABOVE DATA

Step-by-step explanation:

If you need the explanation, just comment yes :)

It's a bit long, so I'm not sure if you just wanted the answer or the whole step-by-step explanation.

if p(q) = q^2 + 4q − 12,then what is p(−1)?

Answers

Answer: p(-1) = -15

Step-by-step:

Plug -1 into the equation in place of q.

p(-1) = (-1)^2 + 4(-1) - 12

p(-1) = (-1)^2 - 4 - 12

p(-1) = (-1)^2 -16

p(-1) = 1 - 16

p(-1) = -15
1): "q2" was replaced by "q^2".

Step by step solution :

STEP
1
:
Trying to factor by splitting the middle term

1.1 Factoring q2-4q-12

The first term is, q2 its coefficient is 1 .
The middle term is, -4q its coefficient is -4 .
The last term, "the constant", is -12

Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12

Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .

-12 + 1 = -11
-6 + 2 = -4 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2
q2 - 6q + 2q - 12

Step-4 : Add up the first 2 terms, pulling out like factors :
q • (q-6)
Add up the last 2 terms, pulling out common factors :
2 • (q-6)
Step-5 : Add up the four terms of step 4 :
(q+2) • (q-6)
Which is the desired factorization

Equation at the end of step
1
:

(q + 2) • (q - 6) = 0
STEP
2
:
Theory - Roots of a product

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : q+2 = 0

Subtract 2 from both sides of the equation :
q = -2

Solving a Single Variable Equation:

2.3 Solve : q-6 = 0

Add 6 to both sides of the equation :
q = 6

Supplement : Solving Quadratic Equation Directly

Solving q2-4q-12 = 0 directly

Sally is solving the linear equation 13 + 4x - 9 = 7x + 7 - 3x. Her final two steps are:
4 + 4x = 4x + 7
4 = 7
Select the statement that correctly interprets Sally's solution.
Lesson Link
1 The solution is x = 0.
2 The solution is the ordered pair (4,7).
3 There is no solution since 4 = 7 is a false statement.
4 There are infinitely many solutions since 4 = 7 is a false statement.
a
Enter the answer number!

Answers

Answer: C. there is no solution since 4=7 is a false statement



Step-by-step explanation:

Algebra problem is in the picture attached. PLEASE HELP!

Answers

Answer:

Step-by-step explanation:

Petra runs 2 miles in 22 minutes. How long would it take her to run 12 miles?

Answers

Answer:

132 minutes

Step-by-step explanation:

First find how long it would take her to run 1 mile.

We can do this by dividing 22 by 2.

22 / 2 = 11

It takes her 11 minutes to run 1 mile.

Then multiply that by 12 to find out how long it would take her to run 12 miles

12 * 11 = 132

It would take her 132 minutes to run 12 miles

Answer:

132 minutes to run 12 miles

the sum of two numbers x and y is 18 and their difference is 14. how is that written as an equation

Answers

Answer:

x=13

y=5

13-5=8

13+5=18

Step-by-step explanation:

Alan bought a new car. The total amount he needs to borrow is $55,498. He plans on taking
out a 5-year loan at an APR of 4.21%. What is the monthly payment?

Answers

Answer: Alan's monthly payment would be $973.53.

Answer:

Alan monthly payment is going to be $56

Step-by-step explanation:

A grocery store can purchase Sugar Specks cereal for $2.00 per box. If the store marks the cereal up by 5%, what will it sell each box of Sugar specks for?

Answers

Answer:

$2.10

Step-by-step explanation:

Answer:

$2.1

Step-by-step explanation:

2 x 0.05 = 0.1

5+0.1 = $2.1

Which is the most accurate way to estimate 66% of 14?

Answers

Answer:

9.1

Step-by-step explanation:

Typically when a question starts with which that means there are several options to choose from. Or multiple choice. Since you haven't provided that here, I'll tell you how I would estimate it.

50% of 14 is 7

10% of 14 is 1.4

5% of 14 is 1/2 of 10% of 14 which is 0.7

50% + 10% + 5% = 65%

Add them together: 7+1.4+0.7 = 9.1

Which of the following choice completes the diagram?
A. Credit card companies
B. Issuer banks
C. Banks
D. All of the choices

Answers

Answer:

D. All if the choices , credit cars , banks and issuer banks

Between 11 P.M. and 8:10 A.M., the water level in a swimming pool decreased by 5/24 in. Assuming that the water decreased at a constant rate, how much did the water drop each hour?

Answers

Answer:

1/44 inches per hour

Step-by-step explanation:

there are 9 hours and 10 minutes during which water decreased by 5/24"

9 hrs, 10 min can be converted to 9 1/6 hours (10 min is 1/6 of 60 min)

5/24 ÷ 9 1/6 = 5/24 x 55/6

5/24 x 6/55 = 1/44  

A package of Oreos typically contained 45 cookies. Recently, Nabisco reduced the number to 39 cookies in a package because of inflation! What is the percent of change?

Answers

Answer:

Percentage of change - 15.4% (simplified)

Step-by-step explanation:

15.384%

What is the value of (-a) to the 4th power / (-a) to the 3rd power

Answers

Step-by-step explanation:

(-a)⁴ / (-a)³ = -a

since both terms have the same exponent base (-a), we can simply do the regular exponent arithmetic (multiplication = +, division = -)

4 - 3 = 1

so, the exponent 1 remains.

it works also, if we process the exponents first

(-a)⁴ = a⁴

(-a)³ = -(a³)

a⁴/-(a³) = a/-1 = -a

u +7 at u=9 step by step explanation plus answer i really need to know how please

Answers

Answer: 16

u=9 so we can plug 9 into the equation.

9 + 7 = 16

Choose the correct answer to 1,889 ÷ 36.
52 R17
51 R53
52 R15
42 R17

Answers

52 R17
It is the right answer

Solve the proportion as a whole number. x =

7/3=x/27

Answers

hi! the answer is x=63

please help!!! ILL GIVE U BRAINLIEST.

Answers

Answer:

f(x) is translated by 4 units left.

Step-by-step explanation:

did it help ?

well, hope it helps !

If f(x) = x2 + x - 8, find f(-3).

Answers

Answer:

-17

Step-by-step explanation:

it's telling you to replace x with -3.

You have to replace all the x's with -3.

(-3)2 + (-3) - 8 = -17

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