Which expression is not equivalent to -1.5(-6m+8n).

Mathematics

2 answers:

Evgen [1.6K]2 years ago

7 0

Answer:

Step-by-step explanation:

-1.5(-6m+8n) = 9m-12n

3(3m -4n) = 9m - 12n

9m -12n = 9m -12n

-6(-1.5m +2n) = 9m - 12n

-2(-4.5m+ 4n) = 9m - 8n

Mars2501 [29]2 years ago

3 0

Answer: D. -2(-4.5m + 4n)

Step-by-step explanation:

First, let us simplify -1.5(-6m+8n).

Given:

-1.5(-6m + 8n)

Distribute:

9m - 12n

[A] ✗

9 /3 = 3 and 12 / 3 = 4

This means that 3(3m - 4n) = 9m - 12n = -1.5(-6m+8n)

Option A is not our answer.

[B] ✗

Using this simplified version we did above, option B is not our answer as 9m - 12n = 9m - 12n and 9m - 12n = -1.5(-6m+8n).

[C] ✗

We will distribute option C to see if we reach the same expression. Seeing below, we do, so option C is not our answer.

-6(-1.5m + 2n)

9m - 12n

[D] ✓

Since none of the other options are correct, the answer to your question D because it is not equivalent.

Answer:

D. -2(-4.5m + 4n)

You might be interested in

Brainliest question please help me answer my question plz

hram777 [196]

Answer:

Pretty sure B

Step-by-step explanation:

3 0

3 years ago

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. Approximately h

strojnjashka [21]

Answer:

Step-by-step explanation:

If we were to draw a horizontal line from the bottom of the ladder to the bottom of the tree and then draw a vertical line from the bottom of the tree to the top of the ladder, we'd get a right triangle with legs as the distance between the bottom of the tree and the bottom of the ladder and the height of the ladder, and the hypotenuse is the length.

Here, we know the hypotenuse is 10 feet and that the bottom of the ladder is 4 feet away from the bottom of the tree, so use the Pythagorean Theorem to find the height:

h = $\sqrt{10^2-4^2} =\sqrt{84}$ ≈ 9.2 feet