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hammer [34]
3 years ago
11

Solve this problem, and identify the percent, amount, and base. What percent of 60 is 15?

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0
First, you must understand the question. what % of 60 is 15, so I would write an equation to express this.

15 = 60x

From there, solve for x, so Divide by 60 on each side. The answer is 1/4, or 25%
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What is the value of k used to find the coordinates of a point that partitions a segment into a ratio of 5:3. Please Explain.
Dafna11 [192]

Answer:

The value of k is 5/8

Step-by-step explanation:

The value of k is found by dividing the numerator of the original ratio, 5, by the sum of the numerator and denominator of the ratio

When finding a point, P, to partition a line segment AB into the ratio a/b, we find a ratio c = a / (a + b)

According to this formula we find the value of k.

k = a/(a+b)

where a = 5

b = 3

Now plug the values in the formula:

k = 5/(5+3)

k = 5/8 ....

4 0
3 years ago
PLEASE HELP FIRST ANSWER IS THE BRAINLIEST ANSWER!!!
motikmotik

Step-by-step explanation:

There are no choices available, so here is a graph of that equation.  Simply compare it to the answer.

6 0
3 years ago
6% of it is 27<br> I need help. Someone please give me a explanation of how to do this.
Ghella [55]

Answer:

You take 6% of a number and the resulting number is 27.

To do this you need to change the percent into a fraction.

6% = 6/100

This is the number you need to multiply to the number you need to find, A.

6/100 A = 27

Solve for x

6 A = 27x100

A= 2700/6

A = 450

Check your answer:

6/100 (A) = 27

6/100 (450) = 27

(6x450) /100 = 27

2700 / 100 = 27

27 = 27

Step-by-step explanation:

6 0
3 years ago
What is the value of the expression when p=5?<br><br> -|-3p|
ivann1987 [24]
-|-3p|

-|-3(5)|
= -|-15|
= -(15)
= -15

The value of the expression when p = 5 is -15.
4 0
2 years ago
Read 2 more answers
A Norman window is a window with a semi-circle on top of regular rectangular window. (See the picture.) What should be the dimen
Vikki [24]

Answer:

bottom side (a) = 3.36 ft

lateral side (b) = 4.68 ft

Step-by-step explanation:

We have to maximize the area of the window, subject to a constraint in the perimeter of the window.

If we defined a as the bottom side, and b as the lateral side, we have the area defined as:

A=A_r+A_c/2=a\cdot b+\dfrac{\pi r^2}{2}=ab+\dfrac{\pi}{2}\left (\dfrac{a}{2}\right)^2=ab+\dfrac{\pi a^2}{8}

The restriction is that the perimeter have to be 12 ft at most:

P=(a+2b)+\dfrac{\pi a}{2}=2b+a+(\dfrac{\pi}{2}) a=2b+(1+\dfrac{\pi}{2})a=12

We can express b in function of a as:

2b+(1+\dfrac{\pi}{2})a=12\\\\\\2b=12-(1+\dfrac{\pi}{2})a\\\\\\b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a

Then, the area become:

A=ab+\dfrac{\pi a^2}{8}=a(6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a)+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a^2+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}-\dfrac{\pi}{8}\right)a^2\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right)a^2

To maximize the area, we derive and equal to zero:

\dfrac{dA}{da}=6-2\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right )a=0\\\\\\6-(1-\pi/4)a=0\\\\a=\dfrac{6}{(1+\pi/4)}\approx6/1.78\approx 3.36

Then, b is:

b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a\\\\\\b=6-0.393*3.36=6-1.32\\\\b=4.68

3 0
3 years ago
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