Simplify 3p^2q+3p(2pq-4)+5p^3

Answers

Answer 1

Answer: distribute
a(b+c)=ab+ac
3p(3pq-4)=9p^2q-12p

we have

3p^2q+9p^2q-12p+5p^3
add like terms
4p^3+12p^2q-12p

Answer 2

Answer: Step by Step
3p^2q+3p(2pq−4)+5p^3

Distribute:

=3p^2q+(3p)(2pq)+(3p)(−4)+5p^3=3p2q+6p2q+−12p+5p3

Combine Like Terms:

=3p^2q+6p^2q+−12p+5p^3=(5p^3)+(3p^2q+6p^2q)+(−12p)=5p^3+9p^2q+−12p
=5p^3+9p^2q−12p

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-3 + x2 = -19 does x = 4

Answers

The equation given in the question is written below
- 3 + x^2 = - 19
x^2 = - 19 + 3
x^2 = - 16
x^2 = - (4)^2
Then
x = - 4
So we can see from the above deduction that x is equal to -4 and not +4. I hope the procedure is clear enough for you to understand. You can always use this method for solving problems of similar kind without requiring any help from outside. Only be careful about the calculation part of the problem given.

Peggy completed 5/6 of the math homework and Al completed 4/5 of the math homework. Did Peggy or Al complete more of the math homework?

Answers

Peggy completed more because more equal parts that are smaller with more shaded means it has to be more.

Answer:

I would say that 4/5 is smaller than 5/6 So Al did less than Peggy Correct me if I'm wrong.

Step-by-step explanation:

For the 1st fraction, since 5 × 6 = 30,

/5= 4 × 6 = 24

5 × 6 = 30

Likewise, for the 2nd fraction, since 6 × 5 = 30,

5/6 = 5 × 5

=25

6 × 5 30

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

24 25 4 5

30 < 30

or 5 <6

8a+3b-10+c the power of 2 when a=2,b=5 and c=4

Answers

(16 + 15 -10 +4) = 25
25 squared is 625

A telephone pole casts a shadow 30 feetlong while a nearby fence post 4 feet
high casts a shadow 3 feet long. How
high is the pole?

Answers

Answer:

The height of the pole is 40 feet.

Step-by-step explanation:

Answer:

Step-by-step explanation:

37.5 feet

The owner of a dress shop ordered 33 dresses from a new designer. The designer's dresses now make up to 30% of all dresses in the shop. How many dreses are in the shop in all?

Answers

30 33
-----= ----
100 ?
To find this we need to find what makes 30 into 33. 33 divided by 30=1.1
To find ? we need to reverse since it's on the other side. 100 x 1.1=110
110 dresses in total.

A rectangular prism that has a length of 8 feet, width of 6 feet, and height of 12 feet. What is the volume of the prism?

Answers

Answer:

The answer/volume is 576

Explanation:

I used a calculator for the volume online

Answer:

The answer is 576

Step-by-step explanation:I did the test :)

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Glen collects a total of 450 stamps from the United States,Great Britain,and India. In his collection, 52% of the stamps are US stamps. He has 3/5 as many Indian stamps as British stamps. How many Indian stamps does Glen have? What percent of Glen' collection are British stamps?