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Tatiana [17]
3 years ago
13

Four people are painting a house. Zachary paints 1/5 of the house, Alyssa paints 33% of the house, Chloe paints 0.3 of the house

, and Nicholas paints 0.17 of the house. Which choice lists the people in order from least to greatest by the amount of the house each painted?
Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
6 0
Nicholas Zachery Chloe Alyssa
Kamila [148]3 years ago
4 0

Answer:

Nicholas, Zachary, Chloe, Alyssa.

Step-by-step explanation:

Given that Four people are painting a house. Zachary paints 1/5 of the house, Alyssa paints 33% of the house, Chloe paints 0.3 of the house, and Nicholas paints 0.17 of the house.

As such we cannot compare their works to order from least to greatest

Hence we can convert each portion into a decimal thus enabling comparison easier.

Zachary paints \frac{1}{5} =0.20 of the house

Alyssa paints 33%=\frac{33}{100} =0.33 of the house

Chloe paints 0.3 of the house and

Nicholas paints 0.17 of the house.

In ascending order these can be written as

0.17, 0.2, 0.3, 0.33

Hence Nicholas, Zachary, Chloe, Alyssa.

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A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as
mamaluj [8]

Answer:

The farmer have at first <u>202</u> chickens.

Step-by-step explanation:

Given:

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.

Now, to find the chickens farmer have at first.

Let the chickens be x.

And, the ducks be y.

<em>As, the farmer had twice as many chickens as ducks on his farm.</em>

So, x=2y    ......(1)

<em>As, given the farmer after selling 166 chickens and ducks, he had half as many chickens as ducks left.</em>

According to question:

x-166=(y-29)\times \frac{1}{2}

x-166=\frac{y-29}{2}

Substituting the value of x from equation (1) we get:

2y-166=\frac{y-29}{2}

<em>By cross multiplying we get:</em>

4y-332=y-29

<em>Adding both sides 332 we get:</em>

4y=y+303

<em>Subtracting both sides by </em>y<em> we get:</em>

3y=303

<em>Dividing both sides by 3 we get:</em>

y=101.

Now, to get the number of chickens substituting the value of y in equation (1):

x=2y\\\\x=2\times 101\\\\x=202.

Therefore, the farmer have at first 202 chickens.

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