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grigory [225]
3 years ago
14

The average (arithmetic mean) of 0, a, and b is 2a. What is the value of b in terms of a?

Mathematics
1 answer:
kramer3 years ago
3 0
0+a+b
a=2
b=10
0+2+10=12/3=4
4=2a
5a is the answer.


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PLEASE HELP WITH THIS ILL GIVE BRAINLIEST
Mrrafil [7]

Answer:

\text{a. }x=7, x=-7, \\\text{b. }x=16, x=-16,  \\\text{c. }x=3, x=-17, \\\text{d. }x=7, x=-7

Step-by-step explanation:

For |x|=y, we have two cases:

\begin{cases}x=y, \\x=-y\end{cases}

Using this, we can solve all four of the problems:

\text{a. }|x|=7,\\\begin{cases}x=7, \\x=-7\end{cases}

\text{b. }|2x|=32,\\\begin{cases}x=16, \\x=-16\end{cases}

\text{c. }|x+7|=10,\\\begin{cases}x+7=10, x=\boxed{3,} \\x+7=-10, x=\boxed{-17}\end{cases}

\text{d. }5|x|=35,\\\begin{cases}x=7, \\x=-7\end{cases}

5 0
3 years ago
Read 2 more answers
How do you solve what is 30% of $240
DerKrebs [107]
The Answer would be x=72. Why? Because \frac{x}{240} =  \frac{30}{100}.   Fraction  \frac{30}{100} is your %.  You Cross multiply 240 * 30 = 100x
240 time 30 = 7200. you want x to  be alone so you do 7200 divided by 100 equaling 72. So you get x=72. 
6 0
4 years ago
The expression x^4-9
vlada-n [284]

Answer: C

Step-by-step explanation:

By the difference of squares, x^{4}-9=(x^{2}+3)(x^{2}-3)

7 0
2 years ago
The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the
Naily [24]

Let r represent the radius of cylinder.

We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be 1.5r.

We will use lateral surface area of pyramid to solve our given problem.

LSA=2\pi r h, where,

LSA = Lateral surface area of pyramid,

r = Radius,

h = height.

Upon substituting our given values in above formula, we will get:

LSA=2\pi r\cdot (1.5)r  

Now we will find the total surface area of cylinder.

TSA=2\pi r(r+h)

TSA=2\pi r(r+1.5r)

TSA=2\pi r(2.5r)

\frac{TSA}{LSA}=\frac{2\pi r(2.5r)}{2\pi r(1.5r)}

\frac{TSA}{LSA}=\frac{2.5r}{1.5r}

\frac{TSA}{LSA}=\frac{25}{15}

\frac{TSA}{LSA}=\frac{5}{3}

Therefore, the ratio of total surface area to lateral surface area is 5:3.

4 0
3 years ago
Which expression does not factor?<br><br> m3 + 1<br> m3 – 1<br><br> m2 + 1<br><br> m2 – 1
Luda [366]

Answer:

m^2 +1

Explanation:

All the other expressions can be factorized. Let's see why:

1) m^3 +1

This is the sum of the cubes, and this can be factorized as follows:

a^3+b^3=(a+b)(a^2-ab+b^2)

In this case, a=m and b=1, so we can factorize as

m^3+1=(m+1)(m^2-m+1)

2) m^3-1

This is the difference between two cubes, and this can be factorized as follows:

a^3-b^3=(a-b)(a^2+ab+b^2)

In this case, a=m and b=1, so we can factorize as

m^3-1=(m-1)(m^2+m+1)

3) m^2-1

This is the difference between two square numbers, and it can be factorized as follows

(a^2-b^2)=(a+b)(a-b)

In this case, a=m and b=1, so we can factorize as

m^2-1=(m+1)(m-1)

4 0
4 years ago
Read 2 more answers
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