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rjkz [21]
3 years ago
8

In 2013, a State Library received a three-year grant to add 69,678 books to their

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
5 0

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

Learn more on equations here: brainly.com/question/25678139

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Valentin [98]
Eight hundred seventy six thousand five hundred forty three.
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Does the function f(x) = 2x^2− 6x + 9 have a minimum or a maximum? Identify its value.
exis [7]

Answer:

minimum value of function is   \frac{45}{8} .

Step-by-step explanation:

Given function represents a parabola.

Now, here coefficient of x^{2} is positive , so the parabola will be facing upwards and thus the function will be having a minimum.

Now, as we know that minimum value of a parabolic function occurs at

x = \frac{-b}{4a} .

Where , b represents the coefficient of x and a represents the coefficient of x^{2} .

here, a = 2 , b = -6

Thus \frac{-b}{4a} = \frac{6}{8}

                                            =  \frac{3}{4}

So, at x =  \frac{3}{4}  minimum value will occur and which equals

y = 2×\frac{9}{16} - \frac{18}{4} + 9 =  \frac{45}{8} .

Thus , minimum value of function is   \frac{45}{8} .

4 0
3 years ago
According to a commercial, 4 out of 5 dentist recommend a certain brand of toothpaste. Suppose There are 120 dentist in your are
Genrish500 [490]
4/5 recommend, so about 4/5(120) = 96 doctors recommend the brand.
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3 years ago
O 25<br> о 50<br> о 100<br> X= what
Kruka [31]
What’s the question?
7 0
3 years ago
Hi help me please, I can't seem to figure this one out​
Nastasia [14]

Answer:

x= 2.73cm

<u>1cm : 0.6828 = 4cm : 2.73cm</u>

For the same angle we just work out 1cm first.

a^2+ b^2= c^2

0.82^2 + b^2 = 1^2 = changing to units 10

6.724 + b^2 = 10

10-6.724 = 2.276

Then x 3 and change units down by 10= 0.6828  

Step-by-step explanation:

Below shows why we must convert to mm from cm

a^2+ b^2= c^2

0.82^2 + b^2 = 1^2 =

0.6724 + b^2 = 1

1 - 0.6724 = b = 0.2276

0.2276 x 3 = 0.6828 cm

7 0
3 years ago
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