All categories

1 year ago

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

Mathematics

2 answers:

Evgen [1.6K]1 year 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]1 year 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

Shari has 1 ½ gallons of orange juice. She wants to serve the orange juice equally to 12 of her friends. How many ounces of juic

kotykmax [81]

Answer:

16 ounces each

Step-by-step explanation:

1 gallon equals 128 ounces so 1.5 gallons would be 192 ounces. Divide 192 by 12 and you'll get 16.

7 0

3 years ago

How do I solve and find x for this question

Fed [463]

Answer: -9.1

Explanation
-3x +12.4=39.7
First minus 12.4 from both sides

-3x +12.4=39.7
-12.4 -12.4
-3x=27.3
Now devid both sides by -3
X= -9.1

7 0

2 years ago

1 Point The circle below is centered at (-3, 2) and has a radius of 3. What is its equation?

arlik [135]

Answer:

(x + 3)^2 + (y - 2)^2 = 9

Step-by-step explanation:

Equation for a circle: (x – h)^2 + (y – k)^2 = r^2

Step 1: Determine what h, k, and r are

h is the x value of the point: -3

k is the y value of the point: 2

r is the radius of the circle: 3

Step 2: Plug in and solve

(x – h)^2 + (y – k)^2 = r^2

(x – (-3))^2 + (y – (2))^2 = (3)^2

(x + 3)^2 + (y - 2)^2 = 9

Answer: (x + 3)^2 + (y - 2)^2 = 9

8 0

3 years ago

What is the value of x and the measure of MNQ

serg [7]

Answer:

3x - 13 +58 = 90, so 3x +45 = 90

Then 3x = 90 - 45 = 45 and x= 45/3 = 15.

m∠MNQ = 3x-13 = 3(15) - 13

= 45-13

= 32

6 0

3 years ago

Find the sum of the counting numbers from 1 to 25 inclusive. In other words, if S = 1 + 2 + 3 + ... + 24 + 25, find the value of

Anastaziya [24]

Answer:

325

Step-by-step explanation:

You must have heard about Arithmetic Progressions (AP)

Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.

Our very own counting numbers form AP

For example :-

2 = 1 + 1

3 = 2 + 1

4 = 3 + 1

The number in bold (1) is that constant number which is added to a number to form its successive number.

To find the sum of series forming AP, we use the formula :-

$sum = \frac{n}{2} \{ a + a _{n} \}$

here,

n is the number of terms
a is the first number of the series
an is the last number of the series

So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).

and n is 25

$S = \frac{25}{2}\{ 1 +25\}$

$= \frac{25 \times 26}{2}$

$= 25 \times 13$

$= 325$

So, the value of S comes out to be 325.

8 0

3 years ago

Read 2 more answers