6. If 50 is 20% of a value, what is that value?

Answers

Answer 1
Answer:

Answer:

The correct answer is 250.

Step-by-step explanation:

To determine what is the total value of an operation in which the value 50 will mean its 20%, what we must do is simply multiply the value by 100, and divide it by the percentage:

(50,100): 20 =

5000: 20 =

250

In this way we verify that the total value was 250.

If you had any questions, we can calculate the% 20 of 250, to see if the result is 50:

250 0.20 = 50.

Thus we verify that the calculation was correct.

Answer 2
Answer: let x be the value
x=100%
50=20%
multiply both sides by 5
50*5=20%*5
250=100%
therefore, x=250

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A rectangular garden is 8 feet long and 4 feet wide. A second rectangular garden has dimensions that are 54 the dimensions of the first garden. What is the percent of change in perimeter from the first garden to the second garden?ftyrt

Answers

We have the perimeter of first dimension 2(8 + 4) = 24;
The perimeter of the second dimension is 2( 8 + 54 + 4 + 54 ) = 240
We calculate p/100 = 24/240;
Then p/100 = 1/10;
p = 100/10;
p = 10;
Finally, 10% is the answer.

Raj opens his bank account with $500. He deposits $40 each month. A) write a function that shows the amount in Raj's account after m months. B) after how many months will Raj have $780 in his bank account?

Answers

The expression for the money deposited in the bank is 500 + 40m and it will take 7 months to get the required amount.

What is compound interest?

The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.

(A) The balance of Raj's account is given as $500.

And, the money deposited every month is $40.

Suppose, the number of months be m.

Then, the following expression can be written for money in account as,

500 + 40m.

(B) The equation for the given case can be written as,

500 + 40m = 780

⇒ 40m = 280

⇒ m = 7

Hence, the required expression is 500 + 40m number of months required is 7.

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Answer to B) is 7 months. Don’t quite understand A) though. More information about how many months you have to show for, would be quite helpful:)

How can you find a unit rate when given a rate?

Answers

A unit rate has a denominator of 1, and rate does not. For example, I ran 18 miles in 3 hours. That is a rate of 18 miles/3 hours (18 over 3). To make that a unit rate we have to make the denominator 1, so we divide the top and bottom by 3. The unit rate would be 6 miles/1 hour (6/1).

What is the inverse of the function below? f(x)= x/4 -2

Answers

The inverse of function f(x) = x/4 - 2 is:

f^(-1)(x) = 4(x + 2).

Option C is the correct answer.

We have,

To find the inverse of the function f(x) = x/4 - 2, we can follow these steps:

Step 1: Replace f(x) with y: y = x/4 - 2.

Step 2: Swap the variables x and y: x = y/4 - 2.

Step 3: Solve the equation for y.

Let's start by isolating y:

x = y/4 - 2

x + 2 = y/4 (Adding 2 to both sides)

4(x + 2) = y (Multiplying both sides by 4)

So, the inversefunction is y = 4(x + 2).

However, it's common to write the inversefunction with the variable x instead of y.

Therefore,

The inverse of function f(x) = x/4 - 2 is:

f^(-1)(x) = 4(x + 2).

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f(x)=(x)/(4)-2\to y=(x)/(4)-2\n\n\text{Interchange the y and the x}\n\nx=(y)/(4)-2\n\n\text{Solve for y}\n\n(y)/(4)-2=x\qquad|+2\n\n(y)/(4)=x+2\qquad|\cdot4\n\ny=4(x+2)

Answer:\ C.\ f^(-1)(x)=4(x+2)

-7(1+3p)<=98
<= means greater then or egual to ok

Answers

Means less than or equal.

And the solution is p≤ -5

Is it possible to draw a triangle with sides that are 4 inches, 5 inches, and 8 inches long? Justify your answer

Answers

Yes, because 4+5>8....
yea because 4+5 is 9 and 8 is less than 9