128 is what percent of 640

Answers

Answer 1
Answer:

The number 128 is 20 percent of 640.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means.

Let 128 is x percent of 640.

Here, x% of 640 =128

x/100 ×640 =128

6.4x=128

x=128/6.4

x=20%

Therefore, the number 128 is 20 percent of 640.

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Answer 2
Answer: ↑ 128 is 20% of 640
Lets solve:
640 IS 100% Because its the output value of the task
So lets look for x
We got 100%=640
and x%=128
Now im going to write this out as
100% / x%=640/128
Now we just have to solve this simple equation. 
(100/x)*x=(640/128)*x
-Multiply both sides of the equation by x
Now we divide both sides of the equation by 5 to get x.
100=5x
100/5=x
20=x
and
x=20
So we got our answer of 20%

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Answers

Answer:

Step-by-step explanation:

Can you tell me what is 15-2x=3x

Answers

15 - 2x = 3x
15 = 3x + 2x
15 = 5x
5x = 15
x = 15/5 = 3
The answer is 3x because first you will add 2x on both sides which will give you 5x on the other side. Then you divide 5x on both sides. 15/5x=3x

Kevin is going to purchase sod for his backyard (see diagram below). How many square feet of sod will Kevin need?

Answers

Answer:

450 square feet

Step-by-step explanation:

Think of the shape as a complete rectangular

The area of the rectangular shape would be 25×30 = 750 square feet

Now find the area of the missing space and subtract it from 750

it would be 15×20 = 300 square feet

750 - 300 = 450 square feet

If f(x) is a continuous function defined for all real numbers, f(-2) = 10, f(-7) = -5, and f(x) = 0 for one and only one value of x, then which of the following could be that x value? a) -3 b) -8 c) 0 d) 2

Answers

Step-by-step explanation:

The given information tells us that f(x) is a continuous function, and it passes through the points (-2, 10) and (-7, -5). Additionally, it has exactly one value of x for which f(x) = 0. We need to find which of the given options (-3, -8, 0, 2) could be that x value.

Let's analyze each option:

a) -3: If f(-3) = 0, it's a possibility, but we need to check the others.

b) -8: If f(-8) = 0, it's a possibility, but we need to check the others.

c) 0: If f(0) = 0, it's a possibility, but we need to check the others.

d) 2: If f(2) = 0, it's a possibility, but we need to check the others.

Since we are told that there is only one value of x for which f(x) = 0, and there are multiple possibilities in this case (a, b, c, and d), the information provided does not allow us to determine a unique answer from the given options. Any of these values could be the x for which f(x) = 0, given that the function is continuous.

Final answer:

The question uses the concept of Intermediate Value Theorem in mathematics. The answer is option a) -3 as it falls between the range by the theorem, which states that for any continuous function within a certain range, the function must cross all values within that range.

Explanation:

This question is about the Intermediate Value Theorem, which states that if a function is continuous on a closed interval from a to b, and k is any number between f(a) and f(b), then there is at least one number c in the interval (a, b) such that f(c) = k.

Since the function is continuous for all real numbers and f(-2) = 10 and f(-7) = -5, the function must pass through 0 between -2 and -7 as it moves from 10 to -5. Therefore, the x value for which f(x) = 0 could be between -2 and -7. In the provided options, the only value falling within the interval (-2, -7) is -3.

So, based on the Intermediate Value Theorem, the answer is option a) -3.

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What is the formula for finding a1 in the geometric series sn=48455, r=3.2, n=3?

Answers

The formula for finding the sum in the geometric series:S_(n)=a_(1) * ( r^(n) -1)/(r-1) For finding a1:a_(1) = ( S_(3)*(3.2-1) )/( 3.2^(3)-1 ) = (48455*2.2)/(32.768-1)= (106601)/(31.768)=3355.6094

Form a union for the following sets. K = {2, 3, 5, 8}
L = {3, 5, 7}
a. { }
b. {3, 5}
c. {2, 3, 5, 7, 8}
d. {2, 7, 8}

Answers

Union of the represented sets should include all the sets without repetition
Here is an example for substituton A= {1,2,3} B={3,4,5} A union B = {1,2,3,4,5}. So, logically, the answer is c. {2, 3, 5, 7, 8} 
AuBuCuDuKuL={2,3,5,7,8}