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egoroff_w [7]
3 years ago
6

Sarah used 2.5 cups of cheese in a dish that serves 10 people.Arun used 1.6 cups of cheese in a dish that serves 12 people.How m

uch more cheese is in one serving of sarahs dish?
Mathematics
1 answer:
Levart [38]3 years ago
3 0

Answer:

0.12 cups

Step-by-step explanation:

What we need to get here is the proportion of cheese in each dish. This implies the ratio of cheese per dish.

Sarah used 2.5 cups for 10 people, which means 2.5/10 cups of cheese per dish. 2.5/10= 0.25

So, Sarah gave 0.25 cups of cheese to each dish.

If we make the same calculation for Aron, we have 1.6/12=0.13

Arun used 0.13 cups of cheese per dish.

For getting the difference we just need to subtract:

0.25-0.13=0.12

So, Sarah used approximately 0.12 cups of cheese per dish more then Arun.

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Answer:

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D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

Step-by-step explanation:

<em><u>Verify each statement</u></em>

<em>A) Each pack of folders has a volume of 60 cubic inches.</em>

The statement is True

Because

The volume of each pack of folders is equal to

V=(5)(12)(1)=60\ in^{3}

<em>B) The box has a volume of about 720 cubic inches</em>

The statement is True

Because

The volume of the box is equal to the volume  of one pack of folders multiplied by 12

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V=(12)60=720\ in^{3}

<em>C) If the box held 15 packs of folders, it would have a volume of about 1,200 cubic inches</em>

The statement is False

Because

Applying proportion

\frac{12}{720}\frac{packs}{in^{3}}=\frac{15}{x}\frac{packs}{in^{3}}\\ \\x=720*15/12\\ \\x=900\ in^{3}

900\ in^{3}\neq 1,200\ in^{3}

<em>D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.</em>

The statement is True

Because

Applying proportion

\frac{12}{720}\frac{packs}{in^{3}}=\frac{20}{x}\frac{packs}{in^{3}}\\ \\x=720*20/12\\ \\x=1,200\ in^{3}

1,200\ in^{3}= 1,200\ in^{3}

<em>E) Each pack of folders has a volume of 24 cubic inches.</em>

The statement is False

Because

The volume of each pack of folders is equal to

V=(5)(12)(1)=60\ in^{3}

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Kelsey makes pendants that she would like to sell at an upcoming craft fair. She must pay $200 to rent a booth at the craft fair
lubasha [3.4K]

Answer:

Additional <em>26</em> pendants are to be sold to make profit.

Step-by-step explanation:

Rent of booth at the craft fair = $200

Cost of material for each pendant = $7.80

Let Kelsey makes x number of pendants.

To calculate the total spending, we have to add the rent of booth at the craft fair and cost of material for x number of pendants.

Cost of material for x number of pendants = Cost of material for each pendant multiplied by number of pendants

Cost of material for x number of pendants = $7.80 \times x

So, total cost = $200 +  $7.80 \times x

Now, each pendant is sold at $13.50

So, total money made by selling  x pendants =  $13.50 \times x

For making profit, total money made must be greater than the total cost.

Therefore, the inequality becomes:

\bold{13.50 \times x  > 200+7.80\times x }

Let us solve the inequality now:

13.50x - 7.80x>200\\\Rightarrow 5.7x > 200\\\Rightarrow \bold{x > 35.08}

So, at least 36 pendants are to be sold to make a profit.

Additional 36-10  = <em>26</em> pendants are to be sold to make profit.

5 0
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