All categories

2 years ago

Apply the distributive property and collect like terms: 5(3m – 2n) –2(m – 2n)

Mathematics

1 answer:

emmasim [6.3K]2 years ago

3 0

Hey there!!

Given equation :

... 5(3m – 2n) –2(m – 2n)

Applying the distributive property :

... 15m - 10n - 2m + 2n

Combining like terms :

... 13m - 8n

Hope my answer helps!!

You might be interested in

I am in pre-algebra and i need help answering a question for homework..

Elenna [48]

the answer is x is equal to -4

x=-4

3 0

3 years ago

Read 2 more answers

When you are determining the probability of an event, why must the probability be between 0 and 1? Explain your answer.

Airida [17]

Answer:

The probability of an event will not be less than 0. This is because 0 is impossible (sure that something will not happen). The probability of an event will not be more than 1. This is because 1 is certain that something will happen.

Step-by-step explanation:

hope dis helps ^-^

5 0

2 years ago

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

Vlad [161]

Answer

$P(A) = 0.30$

$P(B) = 0.77$

$P(A\ n\ B) = 0.22$

$P(A\ u\ B) = 0.85$

Explanation:

Given

See attachment for proper data presentation

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

Here:

$Yes = 22$ and $No = 8$

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

$P(A) = 0.30$

Solving (b): P(B)

We only consider data in the Yes column.

Here:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

$P(B) = 0.77$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

i.e. [Supplier 1][Yes]

This is represented as: n(A n B)

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ n\ B) = 0.22$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

$P(A\ u\ B) = 0.85$

7 0

2 years ago

PLEASE ANSWER!!!! ILL GIVE BRAINLY

irina1246 [14]

Answer:

Answer down below :)

Step-by-step explanation:

The volume of the rectangular prism is:

20 x 9 = 180cm^2

The volume of the triangular prism is

6 x 9 x 1/2 = 27cm^2

I'm sorry, that is all I can do, but the total volume would be 180 + 27 + the cylinder's volume. Have a nice day :)

7 0

2 years ago

The blue figure is translated _ units and _units _ from the red figure

pochemuha

Answer: The blue figure is translated 5 units left and 2 units down. It could also be said as: The Blue figure is translated -5 units on the x-axis and -2 units on the y-axis.

Step-by-step explanation:

All you have to do is a pick one of the points on the red figure and count exactly how many dots the blue figure moved left, and how many dots it moved down.

4 0

3 years ago

Read 2 more answers