02.11.2022

Factor 16a + 72 to identify the equivalent expression

. 1

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24.06.2023, solved by verified expert
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Hey there, thanks for posting your first question!

If you're asked to factor a polynomial, you need to look for the

greatest common factor between the terms that are involved.

The greatest common factor of 16a and 72 is 8 because 8

is the largest number that can divide into both 16 and 72.

The "a" doesn't qualify because it doesn't appear in every term.

So the 8 factors out.

When that happens, we are left with each term divided by that 8

inside a set of parenthses, I'll show you what I mean.

So we have 8(2a + 9).

I divided the 16a by the 8 and 72 by the 8 and if you

distribute it back you will end up with the original polynomial.

So our answer 8(2a + 9).

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Faq

Mathematics
Step-by-step answer
P Answered by Master

A. And B.

Step-by-step explanation:

(16a+72)/4

=4(4a+18)

(16a+72)/8

=8(2a+9)

Mathematics
Step-by-step answer
P Answered by Specialist

A. And B.

Step-by-step explanation:

(16a+72)/4

=4(4a+18)

(16a+72)/8

=8(2a+9)

Mathematics
Step-by-step answer
P Answered by PhD

Hey there, thanks for posting your first question!

If you're asked to factor a polynomial, you need to look for the

greatest common factor between the terms that are involved.

The greatest common factor of 16a and 72 is 8 because 8

is the largest number that can divide into both 16 and 72.

The "a" doesn't qualify because it doesn't appear in every term.

So the 8 factors out.

When that happens, we are left with each term divided by that 8

inside a set of parenthses, I'll show you what I mean.

So we have 8(2a + 9).

I divided the 16a by the 8 and 72 by the 8 and if you

distribute it back you will end up with the original polynomial.

So our answer 8(2a + 9).

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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