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

A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` minutes. What percent of the goal did he achieve?

Answers

Answer:

The answer is 72%  

Step-by-step explanation:  

[tex]\frac{54}{75} = 72[/tex]

54 out of 75 is a percentage of 72%.  

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The percentage of the goal did he achieve will be 72%.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A sixth-grade class did an end-of-the-week wellness challenge. Every understudy put forth an objective of '75' minutes of wellness. Luca practiced for '54' minutes.

The percentage of the goal did he achieve will be calculated as,

P = (54 / 75) x 100

P = 0.72 x 100

P = 72%

The percentage of the goal did he achieve will be 72%.

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Shanice won 88 pieces of gum playing the bean bag toss at the county fair. At school she gave four to every student in her math class. She only has 8 remaining. How many students are in her class?

Equation:
Answer:
Steps to solve:

Answers

Equation: 88-8=80
80/4=20

Answer: there are 20 students in her class

Steps: Subtract what was remaining. Use the difference(80) and divide by how much she gave the students(4). After dividing the quotient would be 20 which is the amount of students in her class.

Answer:

20

Step-by-step explanation:

88 divided by 4 = 22, She gave 4 gums to each student, 8 divided by 4 = 2.

22 - 2 = 20

Jane eats 2/3 of a cup of cereal for breakfast every day. If the box contains a total of 24 cups, how many days will i take to finish the cereal box? Show your work. ​

Answers

24 divided by 2/3
24*3/2= 36

Find the value of two numbers if their sum is 112 and their difference is 66.

Answers

Answer:

x+y = 112 ........ (1)

x-y = 62............ (2)

from (1) and (2)

2x = 174

x = 174/2

x = 87

sub x = 87 in (1)

x+y = 112

87+y = 112

y = 112 - 87

y = 25

so the numbers are 87 and 25

Step-by-step explanation:

PLEASE HELP!!!
CORRECT ANSWER GETS BRAINLIEST

Answers

Answer:

I think D because 2 negative equal a positive

Step-by-step explanation:

hope this helps

Answer:

D

Step-by-step explanation:

I believe the correct answer choice is D!

This is because, knowing that the rule of signs is a negtive multiplied by a negative is a positive, that would make the 22[tex]\frac{2}{5}[/tex] a positive number and the 40[tex]\frac{1}{5}[/tex] a positive as well.

The parenthesis are representing the multiplication proccesses.

-(-x) = x  ---> positive number

Which line is the STEEPEST?

A) y =1/3x-1
B) y = 8x – 1
C) y = 4x – 1
D) y = 2x – 1

Answers

B is the steepest bc the slope is 8/1

At your school, the building is 20 feet tall, a tree's height is 252 inches, and the flagpole is 6 yards high.

Which of the three objects casts the longest shadow?

Answers

Answer: The Tree height is 21 feet.

Step-by-step explanation:

Let's convert the measurements to feet:

The Building is 20 feet.

The Tree height is 21 feet.

The Flagpole is 18 feet.

Therefore, the Tree is going to cast the longest shadow since it is the highest.

You are the CFO of a non-dividend paying firm that currently has excess cash reserves. You are preparing for an internal management meeting where dividends are on the agenda. You know that the CEO favors the commencement of a dividend program. You, however, oppose any dividend plan at this time. Write a good argument that you can use in the meeting to support your position.

Answers

The argument that can be used to oppose the dividend plan is that excess reserves can be used in financing positive NPV projects.

It should be noted that the excess reserves can increase the firm's value and the shareholders value.

Also, it should be noted that the shareholders are not required to pay any tax on an increase in their share value while the dividend payment results in tax payment.

In conclusion, the excess reserves can be used in generating further income for the company.

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Which graph represents f(x) = -1/4 x^6

Answers

Answer:

answer is B

Step-by-step explanation:

I used Desmos to graph the function

Tell if each statement about the equations y = log5x and y = 5% are true or false.
Explain your answers.
a) The graphs of the equations are symmetric to each other over line y = 0.
b) The equation y = 5* is the exponential form of y = log5x.
c) The functions are not inverses of each other.
d) The equations are symmetric over the line y = x.

Answers

Answer:

a) false b) false c) false d) true

Step-by-step explanation:

Answer:

a) false b) false c) false d) true

Step-by-step explanation:

PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer:

1.25 customers / minute

Step-by-step explanation:

To find the unit rate of how many customers came in per 1 minute, just do 15/12 = 1.25

what is the answer please help!!!
(asap)

Answers

So I could only figure out question 8, 9, 10, and maybe 12.

Answer:

8.) x=29

9.) <b=32

10.) <z=106

?? 12.) 128 i think

Step-by-step explanation:

8.) 1st step is to take the angle on the outside and subtract it from 180 to get the inside missing angle. You then get 49. Then you add up all of the inner angles and equal it to 180.

2x+1+3x-15+49=180

After this you add up all of the similar terms.

5x+35=180

Now subtract 35 from both side to get

5x=145

Now divide each side by 5 and you should get 29

so x=29.

9.) First step is to add all of the angles together and equal to 180.

x+28+x-28+x=180

Next add all of the like terms together.

3x=180

Now divide each side by 3 to get x=60.

Don't stop there. Now fill in the x at <b.

(60)-28 which equals 32. so <b=32

10.) First step is to add all of the angles together and equal them to 180.

x-9+x-1+3x-20=180

Next add all of the like terms together.

5x-30=180

Now add 30 to both sides.

5x=210

now divide both sides by 5 to get x=42

Don't stop there.

Now fill in the answer for x in the <z spot.

3(42)-20

<z=106

12.) Okay so I am not 100% sure this is right but I tried it on desmos and it worked out.

Okay so first i did 3x-28+x=180

By using desmos, I got the answer x=52

Basically all it did was

4x-28=180

add 28 to both sides to get 4x=208

then we divide by 4 on both sides to get x=52

after that you fill in the x for the outer angle because that is what it is asking for.

you then get <QST=128

I know its not all of them but i hope this helps!!

Doing Corrections
#14 plz and thank you

Answers

Answer:

Step-by-step explanation:

Write an equation of the line that passes through the given point and is (a) parallel and (b)
perpendicular to the given line

Answers

Answer:

parallel line: y=-3x+14

perpendicular line: y=1/3x +2/3

Step-by-step explanation:

For the parallel line, use the point-slope formula to find the equation of the parallel line (since the slope is the same as the given line and the point (4,2) is given. For the perpendicular line, use the opposite reciprocal of the slope of the given line and use the point-slope formula again. The point-slope formula is Y-Y1=m(X-X1)

Can you slove this please​

Answers

Answer:

y=85°

p=100°

Step-by-step explanation:

Corresponding Angles Theorem

Alternate Exterior Angles Theorem

Answer:

y=85°

p=100°

I hope you get this right!!

:)

Describe how to transform the graph of f(x)=x2 to obtain the graph of the related function g(x)=−2(x+1)2+1. Then draw the graph of g(x).

Answers

Answer:

to go from y=x² which has a minimum vertex at (0,0), you must shift the vertex one unit to the left and then one unit up to get a maximum vertex at (-1,1)

you can then plot points that can be created from an x-y table; such as (1,-7), (-1,1), (2,17), (-2,-1), etc

Step-by-step explanation:

y=x²

First tranfer x to 1 units left .

y=(x+1)²

Multiply by 2

y=2(x+1)²

Flip the parabola (turn a negative)

y=-2(x+1)²

Transfer y 1 units up

y=-2(x+1)²+1

These steps are from a chemistry lab.

Assignment:

1. Pour 0.4 grams of salt into beaker A.

2. Add 20% of the salt from beaker A to beaker B.

3. Add 3 ounces of water to beaker B.

4. Stir the solution in beaker B.

Step 2 asks the student to pour 20%, or 0.2 of the 0.4 grams of salt from beaker A into beaker B. How many grams of salt will go into the beaker?

_______________ grams

Answers

Answer: The answer to this question is 0.08. I hope this helps!

Step-by-step explanation:

0.2 x 0.4 - 0 x 0 equals 0 - 2x4 equals 8 so that will give you 0.08

which is equivalent to -sinx for all values of x?
A. Sin(90*+x)
B.sin(90*-x)
C.sin(180*+x)
D.sin(180*-x)

Answers

Answer:

sin ( 180* + x ) = - x

Step-by-step explanation:

This is the correct answer

Which expression below shows that 98 can be written as the product of prime numbers?
A 2 × 49
B 7 × 7 × 2
C 5 × 5 × 2
D 14 × 7

Answers

Answer:

Step-by-step explanation:

Option A

(-2)(-49)

=2×49

=98

Option B

(4)(-27)

=-108

Option C

(-7)(14)

=-98

Option D

(-9)(11)

=-99. As a result, there us only one correct option that equal -98 which is Option C. Hope it help!

what is 850000+21195=

Answers

Answer: 871195

Step-by-step explanation:

Please someone help me with this question

Answers

[tex]d = 7[/tex]

- BRAINLIEST answerer

what would the equation be?​

Answers

Answer:

y = -2x + 30

Step-by-step explanation:

Firstly, choose 2 coordinates ( I chose [1,28] and [2,,26] ) next use y2-y1/x2-x1 to find your slope, in this case it is -2. Next, take two points and plug them into your equation with your slope to find your b, for this case the b is 30. Put it all together and you get y = -2x + 30

Brainliest would be appreciated. :-)

will mark brainliest (2 possible answers pls) ( NO LINKS OR ANSWERS WITH NO EXPLANATION)

Answers

Answer:

P = 22.22

Step-by-step explanation:

Suppose that a family wants to start a college fund for their child. If they can get a rate of 7. 5%, compounded monthly, and want the fund to have a value of $75,000 after 18 years, how much should they deposit monthly? Assume an ordinary annuity and round to the nearest cent. A. $164. 98 b. $165. 30 c. $166. 21 d. $167. 52.

Answers

The amount that should deposit monthly is $164.98

The formula for calculating the compound amount is expressed as:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P is the amount investedA is the amount after 18 years = $75000r is the rate = 7.5% = 0.075t is the time in years = 18 yearsn is the compounding time = 12 (monthly)

Substitute the given values into the formula to have:

[tex]75000=P(1+\frac{0.075}{12} )^{12(18)}\\75000 = P(1.00625)^{216}\\75000 =P(3.84125)\\P = \frac{75000}{3.84125}\\P= \$19,524.89[/tex]

Hence the amount of money they started with is $19,524.89.

Amount to deposit monthly = 19,524.89/120

Amount to deposit monthly = $164.98

Hence the amount that should deposit monthly is $164.98

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Which of the following are equivalent to the expression 9/4 ( 1.75 - 2 1/4)? Select all that apply.

A. -9/8
B. 1.6875
C. -2 1/4
D. 1 1/8
E. 7/4
F. -1.125

Answers

Answer:

9/4 (1.75 - 21/4)

=9/4 (1.75 - 5.25)

=2.25 -3.5

= -1.25

I think your f answer is wrong

there should be -1.25

Write the word sentence as an equation. Then solve.
19 more than a number c is 4.

Answers

[tex]19+c = 4\\\\\implies c = 4-19 = -15[/tex]

Lily hereeeeeeee (Rose's younger sister))))))))))
Please help me with mathhhhhh

the equation is 1 5/6 - 3/4
This is for a important test for advanced math in middle school

Answers

Answer:

1 1/12

Step-by-step explanation:

Make 1 5/6 improper fraction ( 1 times 6, then add 5 = 11)

Find common denominator, which is 24

6 times 4 equals 24; 11 times 4 equals 44

4 times 6 equals 24; 3 times 6 equals 18

44/24 - 18/24 (subtract only top numbers (44-18) = 26

26/24 simplified is 13/12 or 1  1/12

Hope it's right :)

Cody and Lisa both went bowling last weekend, but not together. Cody went during open bowling time,
paying $7 for shoe rental and $1 per hour. Lisa went on family night, when each hour was $3 and shoe
rental was $1. As it turned out, they played for the same number of hours and spent the same amount.
How many hours did each one bowl?
Write a system of equations, graph them, and type the solution.

Answers

If both Cody and Lisa play for t hours, then Cody pays a total of $(7 + t), while Lisa pays a total of $(1 + 3t). If they both pay the same amount P, then

7 + t = P

1 + 3t = P

Solve for t :

7 + t = 1 + 3t

t - 3t = 1 - 7

-2t = -6

t = 3

So Cody and Lisa each bowled for 3 hours, and they both ended up paying P = $10.

make r the formula t=r/r-3

Answers

Answer:

R = 3t/t₋1

Step-by-step explanation: I'm not sure if its correct.

5 friends are sharing 8 pieces of pizza equally.How many pieces will each friend get to eat?

Answers

Answer:

8÷5 = 1 . 6

Step-by-step explanation:

They will divide the pizzas into 5 pieces further

Each one of them should eat around 1 hand a half slices more like 1.6
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