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 + 69,678If during a used book sale, the library sold 430 books, the remaining books will be (x+69,678) - 430 = x + 69,248If 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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What is the first step of the second step to prove that Sn arrow 1+2+3+..+n=n(n+1)/2?
Answer:
I'm pretty sure it's, "verify that Sn is valid for n=1". I think... lol.
Step-by-step explanation:
Write the integer from least to greatest. 4, 12, -12, -11
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
evaluate f(x) = 5(x-4) when x=10
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]
Solve the proportion as a whole number. x =
7/3=x/27
the sum of two numbers x and y is 18 and their difference is 14. how is that written as an equation
Answer:
x=13
y=5
13-5=8
13+5=18
Step-by-step explanation:
Salena is making bracelets. She has 95 inches of string. Each bracelet uses 4 inches of string.
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.
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please help!!! ILL GIVE U BRAINLIEST.
Answer:
f(x) is translated by 4 units left.
Step-by-step explanation:
did it help ?
well, hope it helps !
The information is on the image
If f(x) = x2 + x - 8, find f(-3).
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
Translate point C(-1,-2) using (y,x) -> (x+3,y-5) and then reflect over the x-axis
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.
u +7 at u=9 step by step explanation plus answer i really need to know how please
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?
Answer:
Percentage of change - 15.4% (simplified)
Step-by-step explanation:
15.384%
Can someone please help? This is difficult.
They intersect at a point called the centroid. See the attached sketch.
What is the value of (-a) to the 4th power / (-a) to the 3rd power
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
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?
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.
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!
Answer: C. there is no solution since 4=7 is a false statement
Step-by-step explanation:
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?
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
Which of the following choice completes the diagram?
A. Credit card companies
B. Issuer banks
C. Banks
D. All of the choices
Answer:
D. All if the choices , credit cars , banks and issuer banks
You barrow 300$ for 5 years at an interest of 4% what is the interest you paid
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
#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
Answer:
= 188, x = 7.89, s = 2.23
Step-by-step explanation:
= 188, x = 7.89, s = 2.23
Algebra problem is in the picture attached. PLEASE HELP!
Answer:
Step-by-step explanation:
Choose the correct answer to 1,889 ÷ 36.
52 R17
51 R53
52 R15
42 R17
Which is the most accurate way to estimate 66% of 14?
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
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?
Answer: Alan's monthly payment would be $973.53.
Answer:
Alan monthly payment is going to be $56
Step-by-step explanation:
help fast it due at 11pm
Answer:
multiplying 14/15 by 5 then dividing by 7
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?
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
If $7.80 if for 6 pairs of socks then how much is 1 pair of socks
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.
if p(q) = q^2 + 4q − 12,then what is p(−1)?
NEED HELP ASAP PLS ^^
Rearrange this equation
y+x=2
Answer:
y=-x+2
Step-by-step explanation:
y+x-x=2+x
y=-x+2
Petra runs 2 miles in 22 minutes. How long would it take her to run 12 miles?
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