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2 months ago

If 65% of a number is 1,105, what is 82% of the number?

Mathematics

2 answers:

Leona [12.6K]2 months ago

8 0

Answer: 1394

Step-by-step explanation:

Let the variable be x

It is given that 65% of the number equals 1,105.

$\Rightarrow0.65\times\ x=1105\text{ [ Convert percent into decimal]}\\\Rightarrow\ x=\frac{1105}{0.65}\text{[ Divide 0.65 on both sides ]}\\\Rightarrow\ x=1700$

To compute 82% of 1700, convert 82% into a decimal and multiply it by 1700, as shown:

82% of 1700= $0.82\times1700=1394$ .

Thus, if 65% of the number is 1,105, then 82% of 1700 equals 1394.

Inessa [12.5K]2 months ago

6 0

To find the original number where 65% equals 1105:
0.65x = 1105
x = 1105 ÷ 0.65
x = 1700... hence, the original number is 1700.

Calculating 82% of 1700:
0.82 * 1700 = 1394 <== this is your answer.

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The yearly cost in dollars, y, for a member at a video game arcade based on total game tokens purchased, x, is y =y equals Start

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Step-by-step explanation:

Given data:

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Required:

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3 months ago

Read 2 more answers

The drama club is selling T-shirts and caps to raise money for a spring trip. The caps sell for $5.00 each, and the T-shirts sel

AnnZ [12381]

Answer:

The answer to this question is C: (72,24).

Step-by-step explanation:

According to the information provided:

The price of one cap is $5

The price of one t-shirt is $10

Let x represent the number of caps sold

Let y represent the number of t-shirts sold

The drama club aims to raise at least $500 for their trip.

Hence, we can establish the inequality as follows:

The number of caps sold x (times) price of one cap + number of t-shirts y (times) price of one t-shirt ≥ (greater than or equal to) 500

Inequality: 5x + 10y ≥ 500 (The greater than or equal to symbol indicates the drama club needs at least $500 for the journey.Next, we need to ascertain the number of caps and t-shirts sold.

- We can eliminate

two

of the options which are

the two answers containing negatives

because we understand that multiplying a positive by a negative yields a negative, which is unacceptable. (Thus, Options A and D are not valid.)Now we will substitute x and y into our inequality equation (5x + 10y ≥ 500)B) x = 65 caps, y = 17.5 t-shirts ------> 5(65) + 10(17.5) = 500 results in $500

YOU MAY THINK THIS IS THE ANSWER, BUT! if you look closely at variable y, it indicates they sold 17.5 t-shirts; however, consider how can you sell 17.5 t-shirts?

Thus, this option is also invalid!

C) x = 72 caps, y = 24 t-shirts ------> 5(72) + 10(24)=

$600

which exceeds the required $500 that they needed. Therefore, the correct choice for this question is C, indicating they sold 72 caps and 24 t-shirts, accumulating $600.

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