MATHEMATICS HIGH SCHOOL

An airline allows each passenger 33 kilograms of luggage. Carl has to lower the weight of his suitcase by 25% to stay within the limit. How much did the suitcase originally weigh?

Answers

Answer 1
Answer:

Answer:

44 kg.

Step-by-step explanation:

The weight limit of the luggage = 33 kg

Let the original weight of the suitcase = x kg

Now, it has been given that Carl has to lower the weight of his suitcase by 25% to stay within the limit.

It means that if we decrease the original weight of the suitcase by 25% then it should be equal to 33 kg.

Thus, we have the equation

x-0.25x=33

Solve the equation

0.75x=33\n\nx=(33)/(0.75)\n\nx=44

Therefore, the original weight of the suitcase was 44 kg.
Answer 2
Answer: 1- 0.25= 0.75 (multiplier)

33÷0.75=44

The suitcase originally weighed 44kg

Hope this helps!

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Caroline bought 20 shares of stock at 101/2, and after 10 months the value of the stocks was 111/4. If Caroline were to sell all her shares of this stock, how much profit would she make

Answers

Answer:

$15 profit would she make

Step-by-step explanation:

Given the statement: Caroline bought 20 shares of stock at 10(1)/(2) and after 10 months the value of the stock was 11(1)/(4) if Caroline were to sell all her shares of this stock.

\text{Profit} = 11(1)/(4)-10(1)/(2) = 11.25- 10.5 = 0.75

Number of share = 20.

\text{Total profit } = 0.75 * 20 =\$15

Therefore, the profit would she make is, $15

What is 10 inches divided into 12 equal sections? If you can include work please, Thanx!

Answers

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4^(x-1) + 4^x + 4^(x+1)= 21 ​

Answers

Answer: x = 1

Step-by-step explanation:

isolate the variable by dividing both sides by factors that don't contain the variable.

What does best approximates of 35,000,000 x 9 mean?

Answers

Give the exact answer!

What is more precise 5 kg or 5212 g

Answers

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5. To get to the library from his house, Robert biked 6 kilometers due east and then8 kilometers due south. On the way back, he cut across a field, taking the shortest
possible route home.
How far did Robert bike on the round-trip?
Home
6 km
8 km
Library

Answers

Answer:

24 kilometers.

Step-by-step explanation:

The shortest path between two points is a straight segment that connects the two points.

Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.

  • The two shorter segments are the two legs, and
  • The longer segment that joins the library and the house is the hypotenuse.

The length of the hypotenuse can be found with the Pythagorean Theorem.

\begin{aligned}\text{Hypotenuse} &= \sqrt{(\text{Leg 1})^(2) + (\text{Leg 2})^(2)}\n&= \sqrt{6^(2) + 8^(2)}\n&= √(36 + 64) \n&= √(100)\n&= \rm 10\;km\end{aligned}.

The length of the round-trip will equal to the sum of the length of the three segments: \rm 6\;km + 8\;km + 10\;km = 24\;km.
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