All categories

3 years ago

What is the LCM of 16a^3b and 24ab^2 ? A) 48a^3b^2 B) 96a^3b^2 C)8ab^2 D)2ab^2

Mathematics

1 answer:

Drupady [299]3 years ago

7 0

16a^3b = 2^4a^3b
24ab^2 = 2^3*3ab^2

lcm = 2^4*3*a^3b^2 = 48a^3b^2 so choice A) is right sure

You might be interested in

If y = (x-5)(x+7) then what does x equal?

DochEvi [55]

Answer:

x = 5, x = -7

Step-by-step explanation:

If you mean find the roots, then x = 5 and x = -7

Because roots makes the equation equal to 0 and 5 - 5 = 0 and -7 + 7 = 0

7 0

3 years ago

13x=-21-6y and -8x=36+6y

IgorLugansk [536]

Answer:

$x=3\\y=-10$

Step-by-step explanation:

$13x=-21-6y\\-8x=36+6y$

Let's take one of the equations and solve for x. I'll take the first one.

$13x=-21-6y$

Divide by 13.

$x=\frac{-21-6y}{13}$

Now replace x in the second equation.

$-8x=36+6y\\-8(\frac{-21-6y}{13} )=36+6y$

Distribute -8

$\frac{168+48y}{13}=36+6y$

Break down the fraction.

$\frac{168}{13}+\frac{48}{13}y=36+6y$

Subtract $\frac{168}{13}$

$\frac{48}{13}y=36+6y-\frac{168}{13}$

Subtract 6y

$\frac{48}{13}y-6y=36-\frac{168}{13}$

Combine like terms;

$\frac{48-13*6}{13}y=\frac{36*13-168}{13}$

Solve;

$\frac{48-78}{13}y=\frac{468-168}{13}$

Keep solving;

$\frac{-30}{13}y=\frac{300}{13}$

Multiply by the negative reciprocal of the fraction next to y.

$(-\frac{13}{30} )\frac{-30}{13}y=\frac{300}{13}(-\frac{13}{30} )$

On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10

$y=-10$

After having found y, replace it in any of the equations to find x.

$13x=-21-6y\\13x=-21-6(-10)\\13x=-21+60\\13x=39\\x=\frac{39}{13}\\ x=3$

6 0

3 years ago

Read 2 more answers

Ellen says that 1 2/5 equal 5/7. Is she correct? Explain.

Akimi4 [234]

Answer:

Step-by-step explanation:

1 2/5 has a whole and a fraction where as 5/7 only has a fraction

3 0

3 years ago

Read 2 more answers

.109 is what in fraction form?

dezoksy [38]

Answer: 109/1000

.109 can not be reduced, so we must put it in a fraction with 1,000.

So, the fraction would be 109/1000, because we need a denominator as 1,000.

The answer = 109/1000

6 0

3 years ago

A storage container for oil is in the shape of a cylinder with a diameter of 10 feet and a height of 17 feet which measurement i

strojnjashka [21]

The answer would be 1335.18

8 0

3 years ago