All categories

3 years ago

-5(4m - 2) = -2(3 + 6m)

Mathematics

1 answer:

Tasya [4]3 years ago

4 0

Answer:

m = 2

Step-by-step explanation:

First we must distribute on both sides of the equation. If we distribute the 5 on the left we should end up with,

-20m + 10 = -2(3 + 6m)

Then we can distribute the right side,

-20m + 10 = -6 - 12m

We want to move the m's to one side so let's move the -20m to the right by adding it to both sides.

-20m + 10 + 20m = -6 - 12m + 20m

This gives us,

10 = -6 + 8m

Finally we want to move the -6 over to the left by adding it to both sides.

10 + 6 = 8m

16 = 8m

From here we divide both sides by 8 to get m alone.

m = 2

You might be interested in

a school cafeteria makes cheese sauce for macaroni using 15 cups of Swiss cheese and 17 cups of cheddar cheese Perry tries to ma

deff fn [24]

No, Perry is not using the correct ratio, because 15:17 is not equivalent to 5:7

15 divided by 3 is indeed 5 but divided 17 by 3 does not give you 7, nor a whole number.

I hope this helps.

3 0

3 years ago

Read 2 more answers

What number must be added to the expression below to complete the square? x2-5x

kati45 [8]

Answer:

6.25

Step-by-step explanation:

(x-a)^2=x^2-2ax+a^2

2a=5

a=2.5

2.5 ^ 2 = 6.25

3 0

3 years ago

Leo read 5/7 of the pages in his book. He has 28 pages left to read. How many pages he already read?

Scorpion4ik [409]

Leo has read 70 pages of the book

4 0

3 years ago

The hypotenuse of a right triangle measures 16 cm and one of its legs measures 9 cm. Find the measure of the other leg. If neces

Vesnalui [34]

$\sf\huge\underline{\star Solution:-}$

<h3><u>Given that</u>:</h3>

Hypotenuse of a right triangle = $\sf\blue{16cm.}$
One side (leg) = $\sf\blue{9cm.}$

Measure of another side(leg).

<h3><u>Solution</u>:-</h3>

$\rightarrow$ As we know that,

$\sf{A^2 +B^2 \:=\: C^2}$ (Pythagoras Theorem)

So, using this formula we can find measure of another side(leg).

$\rightarrow$ $\sf{A^2 +B^2 \:=\: C^2}$ (putting the value of both given side of triangle)

Here I am putting the value of hypotenuse in C because it is the longest side of triangle.

$\rightarrow$ $\sf{9^2 +B^2 \:=\: 16^2}$

$\rightarrow$ $\sf{81 +B^2 \:=\: 256}$

$\rightarrow$ $\sf{B^2 \:=\: 256-81}$

$\rightarrow$ $\sf{B^2 \:=\: 175}$

$\rightarrow$ $\sf{B \:=\: \sqrt{175}}$

$\rightarrow$ $\sf{B\:=\: 13.22(approx)}$

Therefore, measure of another side (leg) of the triangle = $\sf\purple{ 13.22(approx).}$

____________________________________

Hope it helps you:)

6 0

2 years ago

9/2 = k/25 need a step by step answer please

german

Answer: k=225/2
Decimal form: k= 112.5
Mixed number form: k=112 1/2

4 0

3 years ago

-5(4m - 2) = -2(3 + 6m)​

-5(4m - 2) = -2(3 + 6m)