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marshall27 [118]
3 years ago
10

If the average of three numbers is V if one number is Z and another is y what is the remaining number ?

Mathematics
1 answer:
user100 [1]3 years ago
6 0
The formula for an average of three numbers is (x+y+z)/3.  So if V equals the average, then we find the formula
V = (x+y+z)/3
We are now looking for x.  We can divide each of the variables in the parentheses by 3, making the formula
V = x/3 + y/3 + z/3
So now bring the unwanted variables to the same side as V.
V - y/3 - z/3 = x/3
Now multiply both sides by 3 to find x.
3V - y - z = x

x = 3V - y - z
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Simplify x to the 1/3 power (x to the 1/2 power + 2x to the 2 power )
OverLord2011 [107]

Answer:

x^(5/6) + 4(x^(7/3))


Step-by-step explanation:

Simplify x to the 1/3 power MULTIPLIED BY (x to the 1/2 power + 2x to the 2 power )


Simplify x^(1/3) × (x^(1/2) + (2x)^2)

= x^(1/3)(x^(1/2)) + x^(1/3)((2x)^2)

= x^(1/3+1/2) + 4(x^(1/3+2))

= x^(5/6) + 4(x^(7/3))


x^(1/3) is y such that y^3 = x

(x^(1/3) × x^(1/3) × x^(1/3)) = x^(1/3+1/3+1/3) = x^1 = x


x^(1/2) = √2 = y such that y^2 = x

(2x)^2 = 4x^2






6 0
3 years ago
Converting (x - 4)^2 + y^2 = 16 into polar form
dimulka [17.4K]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

(x - 4)² + y² = 16

Step 02:

polar form:

x = r cos (θ)

y = r sin (θ)

(r cos (θ) - 4 )² + (r sin (θ))² = 16

(r cos θ - 4)² + r² sin² θ = 16

r (r - 8 cos (θ)) = 0

r = 8 cos θ

The answer is:

r = 8 cos θ

8 0
9 months ago
Ito washes 7 cars in 3 hours. Joan
Elden [556K]

Answer:

Ito

Step-by-step explanation:

Make them to their closest common multiple which is twelve.

Next times 7 by 4 as 3*(4) is 12

Then time 9 by 3 as 3*(4) is 12

7*4=28

9*3=27

Therefore ito washes at a faster rate

5 0
3 years ago
Read 2 more answers
The table shows how many books the students in Bergdalsskolan list during the summer. There were 48 students who list 4 books. a
Juliette [100K]

Step 1:

First, find the total number of students.

Let the total number of students = m

Step 2:

Find the total number of students using the percentage of 4 books.

48 students listed 4 books with a percentage of 16%

\begin{gathered} 48\text{ = 16\% of m} \\ 48\text{ = }\frac{16}{100}\text{   }\times\text{  m} \\ 48\text{ = }\frac{16m}{100} \\ \text{Cross multiply} \\ 16m\text{ = 48  }\times\text{  100} \\ 16m\text{ = 4800} \\ \text{m = }\frac{4800}{16} \\ \text{m = 300} \end{gathered}

Hence, there are 300 students.

a)

\begin{gathered} \text{Number of students that had 1 book = 24\% of 300} \\ =\text{ }\frac{24}{100}\text{  }\times\text{  300} \\ =\text{ }\frac{7200}{100} \\ =\text{ 72  students} \end{gathered}

72 students had 1 book.

b) What percentage more read 2 books than 4 books?

percentage that read 2 books = 36%

percentage that read 4 books = 16%

36 - 16 = 20%

There are 20% students that read 2 books than 4 books.

8 0
1 year ago
The radius of one sphere is twice as great as the radius of a second sphere. Find the ratio of their volumes. 1/2 1/4 1/8 1/16
Anton [14]

Let's pick some simple points with which to set up an example for ourselves for this. Let's let the smaller radius be 1, and the larger, twice that, be 2. The radius itself is a single unit measure; in other words, it's measured as inches, feet, cm, etc., while the volume is a cubed measure. Volume is measured in inches cubed, feet cubed, cm cubed, etc. Therefore, if we have the radii measuring 1:2, we simply cube those single unit measures to find the ratio of their volumes. 1 cubed is 1, and 2 cubed is 8. So your answer for this is 1/8.

5 0
3 years ago
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