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MissTica
3 years ago
8

What is the answer to 2/3 of something equals 10

Mathematics
2 answers:
denis23 [38]3 years ago
7 0
In math, when you see the word "of" it usually means "times".

So the question is:

        <u>2/3 times something = 10</u>

Multiply each side of the equation by 3 :

             2 times something = 30

Divide each side by 2 :

                        <em>  something = 15</em>
mart [117]3 years ago
7 0
<span>If you want to calculate the fraction of the number, multiply this number by the <span>fraction:

\frac{2}{3}\times?=10

therefore

?=10:\frac{2}{3}=10\times\frac{3}{2}=5\times3=\boxed{15}
</span></span>
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The height of a pyramid-shaped sculpture with a square base is one half the length of each side. The volume of the sculpture is
Nimfa-mama [501]

The volume of a pyramid is V = 1/3 x base length^2 x height

Let X = base length.

We are told the height is 1/2 the length, so height would be 1/2x

Now we have:

972 = 1/3 * x^2 * 1/2x

Simplifying we get:

972 = 1/6x^3

Multiply both sides by 6:

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Take the cube root of both sides:

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4 0
3 years ago
Use synthetic division to solve (2x^34x^2-35x15)/(x-3). What is the quotient?
victus00 [196]
Answer: quotient is 2x^2 + 10x - 5

Solution:

The first polynomial is miswritten.

The right one is: 2x^3 + 4x^2 - 35x + 15.

So, the division is [2x^3 + 4x^2 - 35x + 15] / (x - 3)

The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient.

So, in this case it is:

3 | 2      4    -35    15
   ---------------------------------
    2     10     - 5      0

So, the quotient is 2x^2 + 10x - 5, and the remainder is 0.

I like to show it in this other way:


   | 2     4     -35     15
   |
   |
3 |       +6    +30     -15
--------------------------------  
    2     10    - 5         0

Of course they are the same coefficients and the answer continue being quotien 2x^2 + 10x - 5, remainder 0.
4 0
2 years ago
If the ratio of purple marbles to orange marbles is 3 to 8, how many orange marbles will I have if I have 48 purple marbles?
sveticcg [70]

Answer:

You will have 128 orange marbles

Step-by-step explanation:

Set this up as an equation

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3/8 = 48/x

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3x = 384

Divide both sides by 3 to isolate the variable

3x ÷ 3 = 384 ÷ 3

1x = 128

x = 128

128 orange marbles

Check work:

Substitute the variable x for the answer

3/8 = 48/128

Cross multiply

3 × 128 = 8 × 48

384 = 384

If the numbers equal, the answer is correct

6 0
3 years ago
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yanalaym [24]

Answer:

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Step-by-step explanation:

point slope form

y-y1 = m(x-x1)

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Sam has ⅙ of a book left to read. He wants to finish the book by reading the same amount every day for 4 days. How much of the b
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4 (1/16)  =  4/16   =  1/4

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2 years ago
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