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3 years ago

A scoop used to measure

Mathematics

1 answer:

slega [8]3 years ago

5 0

Answer:

Step-by-step explanation:

V=pi (r squared) (h/3)

75pi = 25pi (h/3)

Divide both sides by 25 pi

3= h/3

Multiply both sides by 3

h=9

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of all the songs on a playlist, 1/3 are rock, 1/8 are dance, and the rest are country. what fraction of all the songs on the pla

igomit [66]

Answer:

13/24

Step-by-step explanation:

First, it would be easier to find the common denominator of 1/3 and 1/8. The easiest way to do that is to do 3x8=24. This means the common denominator is 24 and so we must convert the fractions so they have this denominator.

1/3 --> 8/24

1/8 --> 3/24

Now, we can simply add these fractions together to find out the fraction of songs that are NOT country songs.

8/24 + 3/24 = 11/24 songs are not country songs.

To find out the fraction of songs that are country, simply do 1 (or 24/24) take away 11/24.

24/24 - 11/24 = 13/24 songs are country songs.

5 0

2 years ago

Which graph shows the line y=35x−3?

elena-s [515]

Answer:

the last picture

Step-by-step explanation:

the one where the line hits the -3 mark on the y-axis

5 0

3 years ago

Read 2 more answers

(4x^2y^3)^2 simplify

choli [55]

(4x^2y^3)^2 = 16x^4y^6

Answer

16x^4y^6

5 0

3 years ago

The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions

Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

$\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}$

The quadratic equation can now be solve using factorization method:

$\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}$

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be: