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3 years ago

The square root of -12 × the square root of -9 (THIS IS AN ALGEBRA 2 QUESTION)

Mathematics

1 answer:

nlexa [21]3 years ago

5 0

Answer:

$\sqrt{-12} = 2\sqrt{3} i\\\sqrt{-9}= 3i\\3i * 2\sqrt{3}i = -6\sqrt{3$

Step-by-step explanation:

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Davey built a bookshelf 36 in. long. Can the shelf hold a set of encyclopedias if there are 24 books and each book averages 5/4

grin007 [14]

Yes, the 36" shelf can hold all 24 books. As 5/4=1.25" meaning, you take 1.25X24=30". So 24 books only take up 30 inches of a 36 inch shelf.

5 0

3 years ago

H. Four businessman invested a sum of Rs.

balandron [24]

Answer:

The answers are in solutions.

Step-by-step explanation:

Four businessmen invested a sum of Rs. 250,000 in the ratio of 3:5:7:10 to start a new business.

(i) The amount invested by each businessman is;

1^st businessman invested:

$\frac{3}{25} * 250,000 =$ Rs. 30,000

2^nd businessman invested:

$\frac{5}{25} * 250,000$ = Rs. 50,000

3^rd businessman invested:

$\frac{7}{25} *250,000$ = Rs. 70,000

4^th businessman invested:

$\frac{10}{25} *250,000$ = Rs. 100,000

If they gained Rs. 50,000

(ii) The profit each one of them got is;

1^st businessman got:

$\frac{3}{25} * 50,000$ = Rs. 6,000

2^nd businessman got:

$\frac{5}{25} *50,000$ = Rs. 10,000

3^rd businessman got:

$\frac{7}{25} *50,000$ = Rs. 14,000

4^th businessman got:

$\frac{10}{25} *50,000$ = Rs. 20,000

8 0

3 years ago

You are selling tickets to a play. You have sold (3t+2) tickets for $5 each and (2t+5) tickets for $7 each. Write an expression

aliya0001 [1]

Given that the number of tickets that are sold for $5 is (3t+2) tickets.

The number of tickets that are sold for $7 is (2t+5) tickets.

We need to determine the expression that represents the total number of tickets sold and the simplified expression.

Total number of tickets sold:

The expression for (3t+2) tickets sold for $5 is given by

$5(3t+2)$

The expression for (2t+5) tickets sold for $7 is given by

$7(2t+5)$

The expression for the total number of tickets sold is given by

$5(3t+2)+7(2t+5)$

Thus, the expression that represents the total number of tickets sold is $5(3t+2)+7(2t+5)$

Simplified expression:

We need to simplify the expression $5(3t+2)+7(2t+5)$

Hence, let us multiply the terms within the bracket.

Thus, we get;

$15t+10+14t+35$

Adding the like terms, we have,

$29t+45$

Thus, the simplified expression is $29t+45$

5 0

3 years ago

Which expressions are completely factored?

amm1812

The only expressions that are correctly factored are;

A) 16a⁵ - 20a³ = 4a³(4a² - 5)

B) 24a⁴ + 18 = 6(4a⁴ + 3)

C) 12a³ + 8a = 4a(3a² + 2)

D) 30a⁶ - 24a² = 3a²(10a⁴ - 8)

<h3>How to factorize equations?</h3>

1) 16a⁵ - 20a³

To factorize this, we will have to get out the common factor first. The common factor is 4a³. Thus, we now have;

4a³(4a² - 5)

2) 24a⁴ + 18

To factorize this, we will have to get out the common factor first. The common factor is 6. Thus, we now have;

6(4a⁴ + 3)

3) 12a³ + 8a

To factorize this, we will have to get out the common factor first. The common factor is 4a. Thus, we now have;

4a(3a² + 2)

4) 30a⁶ - 24a²

To factorize this, we will have to get out the common factor first. The common factor is 3a². Thus, we now have;

3a²(10a⁴ - 8)

Read more about factorization of equations at; brainly.com/question/723406

#SPJ1

6 0

1 year ago

if you substract 1/2 from a number and multiply 1/2 from the result you get 1/8 . what is the number

qwelly [4]

3/4

Three fourths subtracted from one half is one fourth. One fourth times one half is one eighth.

5 0

3 years ago