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mina [271]
3 years ago
11

A bookcase has a mass of 30 kilograms. A book in the bookcase has a mass of 400 grams. How many books of the same mass would it

take to equal the mass of the bookcase? A. 75 books B. 120 books C. 750 books D. 1,200 books
Mathematics
1 answer:
atroni [7]3 years ago
6 0

Answer: OPTION A

Step-by-step explanation:

You can convert  30 kilograms to grams (1\ kilogram= 1,000\ grams), then:

(30\ kilograms)(\frac{1,000\ grams}{1\ kilogram})=30,000\ grams

Then, if a book in the bookcase has a mass of 400 grams and you need to find the number of books of the same mass that would take to equal the mass of the bookcase, you can divide the weight of the bookcase (in grams) by the weigth of one of these books.

Therefore:

books=\frac{30,000\ grams}{400\ grams}\\\\books=75

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Find the 53rd term of the arithmetic sequence<br> 27,11, -5
vivado [14]

Answer:

The 53rd term of this arithmetic sequence is -805.

Step-by-step explanation:

The general rule of an arithmetic sequence is the following:

a_{n+1} = a_{n} + d

In which d is the common diference between each term, that is, d = a_{3} - a_{2} = a_{2} - a_{1}.

To find the nth term of the sequence, this equation can be written as:

a_{n} = a_{1} + (n-1)d

27,11, -5

So a_{1} = 27, a_{2} - a_{1} = 11 - 27 = -16[/tex[tex]a_{n} = a_{1} + (n-1)d

a_{53} = a_{1} + (52)d = 27 + 52*(-16) = -805

The 53rd term of this arithmetic sequence is -805.

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2 years ago
Which of the following is the reciprocal of x2 – 2x – 8?
Ann [662]
Hi again

x² - 2x - 8
Factor
= (x + 2)(x -4)
Answer : A is the correct option.


If you wanna check if A is the right answer, I will solve it for you and it will you give you the exact answer which will be x² - 2x - 8
(x+2)(x-4)
Distribute
(x)(x) + (x)(-4)+(2)(x)+(2)(-4)
= x² - 4x + 2x - 8
= x² - 2x - 8
Here it is, we find the exam answer.

Thus, (x+2)(x-4) is the reciprocal of x² -2x - 8


I hope that's help !
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