Brad says that if a second number is 125% of the first number,then the first number must be 75% of the second number.Is he correct? Justify your answer.

Answers

Answer 1

Answer:

Final answer:

Brad's statement is incorrect because an increase of 25% does not correspond to a decrease of 25%. The percentages are calculated relative to the base number, so the percentage value changes when the base number changes.

Explanation:

No, Brad's statement is incorrect. If one number is 125% of another number, it does not mean that the first number is 75% of the second number. Let's use an example to illustrate this.

Let's assume the first number is 4. According to Brad's first statement, a second number that is 125% of the first number would be 5 (because 125% of 4 is 5). Now, if we apply Brad's second statement and calculate 75% of the second number (which is 5), we get 3.75, not 4. So, the first number can't be 75% of the second number.

This is because percentage increase and decrease are not symmetrical. An increase of 25% does not correspond to a decrease of 25%. In mathematics, percentages are calculated relative to the base number. So, if the base number changes, the percentage value will also change.

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Answer 2

Answer:

Final answer:

Brad's statement is incorrect. If a second number is 125% of a first number, the first number is actually 80%, not 75%, of the second number. Calculation of percents involves creating equivalent fractions with denominators of 100.

Explanation:

No, Brad is incorrect. If a second number is 125% of the first number, it means the first number is 80% of the second number, not 75%. This can be easily demonstrated with simple math:

Let's assume the first number is 100. Then, the second number is 125% of 100, which is 125.
If we now take 75% of the second number (75% of 125), we get 93.75, not 100. So, the first number is not 75% of the second number.

Calculating percents involves using equivalent fractions that represent ratios where the denominator is 100.

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Janice works at a cell phone company. She wants to make a presentation to her team about the features of a new phone. She makes a scale drawing of the phone using a scale of 1 inch to 0.5 centimeter. The length of the scaled drawing is 28 inches, and its width is 15 inches. What are the actual dimensions of the phone?The length is 14 inches, and the width is 7.5 inches.
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Answers

If 1 inch represents 0.5 centimeter, then 28 inches will represent 28 * 0.5 = 14 centimeters and 15 inches will represent 15 * 0.5 = 7.5 centimeters.

The actual dimensions of the phone is: the length is 14 centimeters and the width is 7.5 centimeters.

Answer:

The length is 14 centimeters, and the width is 7.5 centimeters.

Step-by-step explanation:

i took the test

243 × 7
whats 243×7?
$*$

Answers

Answer: 1701

Step-by-step explanation:

It’s the simple math

243

1701

What is the value of x in the equation −6 + x = −2?8

4

−4

−8

Answers

B. = 4

How do you Find X in an equation?

angle A + angle B + angle C = 180 degrees. Solve for x in the fractions, we simply do the cross multiplication or simplify a equation by find x. For example: Solve for x for the equation ⇒ 2/5 = x/10. We could use the system of the equations solver to find the value of x when we have equations with different variables.

Given −6 + x = −2

We have to solve for x

-6 + x = -2

x = -2 + 6

x = 4

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-6 + x = -2

first, add 6 to both sides.

x = -2 + 6
x = 4

Q + 67 = q+68

what is q?

Answers

Answer:

No solution

rashid bought some baseball cards. after giving 7 cards to hos friend grace, he arranged the remaining cards in 6 rows of 4. how many cards did he buy?

Answers

35 cards. 7 X 4 = 28. Add the 7 he gave to his friend, and you get 35.

Please help need in next 10 minutesOn your property tax bill, you see the following table.

Destination

Share of Your Taxes
Roads

$241
Schools

$896
Public Safety

$154
Township

$177

What percentage of your taxes went to funding public safety?
a.

10.49%
b.

12.06%
c.

11.72%
d.

8.94%

Answers

Alright so to discover the answer to your problem the first thing you need to do is add up all of your listed taxes so that you know what the total number of taxes you paid is. So adding up your 'road' taxes, 'schools' taxes, 'public safety' taxes, and 'township' taxes your total will come up to $1468. After that you simply divide your 'public safety' taxes by the total number of taxes you paid. So that means you divide 154 by 1468, thus giving you 10.49%. So of the listed options, option a (10.49%) is the correct answer.

Answer: a. 10.49%

Step-by-step explanation:

Given: The share of tax on Public facility= $154

The total amount paid as tax = $241+$896+$154+$177=$1468

The percentage of taxes went to funding public safety is given by:-

$P=\frac{\text{share of tax on Public facility}}{\text{Total tax amount}}*100\n\n\Rightarrow\ P=(154)/(1468)*100\n\Rightarrow\ 10.49\%$

Hence, The percentage of taxes went to funding public safety= 10.49%

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