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4 years ago

Use the distributive property to rewrite each problem so it only has two factors. Then solve. (44 times 3)+ (56 times 3)

Mathematics

2 answers:

Agata [3.3K]4 years ago

8 0

132 + 168 = 300
Not sure if this is right.

Lunna [17]4 years ago

4 0

I got 132 + 168 = 300
I'm really sure this is right because 44 x3 is 132 and 56 x3 is 168 and then add them which is 300

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Could someone help me, please?

k0ka [10]

We can rewrite the expression under the radical as

$\dfrac{81}{16}a^8b^{12}c^{16}=\left(\dfrac32a^2b^3c^4\right)^4$

then taking the fourth root, we get

$\sqrt[4]{\left(\dfrac32a^2b^3c^4\right)^4}=\left|\dfrac32a^2b^3c^4\right|$

Why the absolute value? It's for the same reason that

$\sqrt{x^2}=|x|$

since both $(-x)^2$ and $x^2$ return the same number $x^2$ , and $|x|$ captures both possibilities. From here, we have

The absolute values disappear on all but the $b$ term because all of $\dfrac32$ , $a^2$ and $c^4$ are positive, while $b^3$ could potentially be negative. So we end up with

$\dfrac32a^2\left|b^3\right|c^4=\dfrac32a^2|b|^3c^4$

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3 years ago

A Speedboat increases in speed uniformly from 20m/s to 30m/s for 12.2 s. What is the acceleration of the speedboat?

Aloiza [94]

Answer:

0.82 m/s^2

Step-by-step explanation:

Given data

initial velocity=20m/s

Final velocity= 30m/s

Time = 12.2s

Applying the formula

a= v-u/t

a= 30-20/12.2

a= 10/12.2

a= 0.819

a=0.82 m/s^2

6 0

3 years ago

you are asked to solve for y in the equation -3=5y-2x , given that x= -4 what is the first step you will take

Genrish500 [490]

First step is replacing x with -4. => -3=5y+8 => 5y= -8-3 => y =-11/5

8 0

3 years ago

Keilani<br> please help me

Travka [436]

Answer: (4, -2, 4)

Step-by-step explanation:

May be wrong

6 0

3 years ago

The average (or mean) annual rainfall for Bramford, Ohio is 51 inches, and the rainfall for last year was 29 inches. What is the

Reptile [31]

The change in rainfall between the rainfall last year and the average (or mean) annual rainfall is 22 inches

<h3>What is the change in rainfall between the rainfall last year and the average (or mean) annual rainfall?</h3>

The given parameters are

Average annual rainfall = 51 inches

Last year = 29 inches

The change in rainfall between the rainfall last year and the average (or mean) annual rainfall is calculated as

Change = |Annual rainfall - Last year|

This gives

Change = |51 - 29|

Evaluate

Change = 22

Hence, the change in rainfall between the rainfall last year and the average (or mean) annual rainfall is 22 inches