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lions [1.4K]
3 years ago
7

Express the ratio in lowest form:1.5 kg: 350 g​

Mathematics
1 answer:
irakobra [83]3 years ago
5 0

Given:

The ratio is:

1.5 kg : 350 g​

To find:

The lowest or simplest form of the given ratio.

Solution:

We know that,

1 kg = 1000 g

We have,

1.5 kg : 350 g​

It can be written as

1.5\ kg : 350\ g=\dfrac{1.5\ kg}{350\ g}

1.5\ kg : 350\ g=\dfrac{1.5\times 1000\ g}{350\ g}

1.5\ kg : 350\ g=\dfrac{1500\ g}{350\ g}

1.5\ kg : 350\ g=\dfrac{150}{35}

1.5\ kg : 350\ g=\dfrac{30}{7}

Therefore, the lowest form of the given ratio is 30:7.

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A shipping company damaged 15 packages. Each package was valued at $175.50. Which expression represents this situation?
Allushta [10]

Answer: A

Step-by-step explanation:

15 packages damaged. Cost is -175.50 this is a loss. So 15x(-175.50)

3 0
3 years ago
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 270 em
allsm [11]

Answer:

The number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf for the complete question.

The explanation of the answers is now provided as follows:

Let U, A and W represents number of empty seats of United Continental, American, and Southwest respectively. Therefore, we have:

U + A + W = 270 ………………………. (1)

Since United Continental had three times as many empty seats as American, this implies that:

U = 3A ………………………………… (2)

Substituting U = 3A into equation (1), we have:

3A +A + W = 270

4A + W = 270

W = 270 - 4A ………………………….. (3)

For the cost, we have:

3,000[((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100)] = $114,990

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = $114,990 / 3,000

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = 38.33

0.447A + 0.146A + 0124W = 38.33

0.593A + 0.124W = 38.33 ………………… (4)

Substituting W = 270 - 4A from equation (3) into (4) and solve for A, we have:

0.593A + 0.124(270 - 4A) = 38.33

0.593A + 33.48 - 0.496A = 38.33

0.593A - 0.496A = 38.33 - 33.48

0.097A = 4.84

A = 4.84 / 0.097

A = 49.8969072164948

Rounding to a whole number, we have:

A = 50

Substituting A = 50 into each of equations (2) and (3), we have:

U = 3 * 50 = 150

W = 270 - (4 * 50) = 70

Therefore, the number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Download pdf
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2 years ago
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Answer:

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You have $75.00 to spend at the mall. You want to buy a hoodie that costs $80.00. The store is having a 20%-off sale. (There is
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$80.00 x 0.20 = $16.00
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