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Eva8 [605]
3 years ago
10

Sarah needs 10 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabri

c costs $1.50. How much will the fabric
cost?
[1 ft = 0.305 m]

A.$49.18
B.$2.03
C.$21.86
D.$4.58​
Mathematics
1 answer:
Aleks [24]3 years ago
6 0
<h2>Hello!</h2>

The answer is:

The fabric will cost $4.58

D.$4.58

<h2>Why?</h2>

Since it's a conversion exercise, we need to pay special attention to the conversion procedure.

From the statement we know that:

1ft=0.305m

So, if she needs 10 feet of fabric, we need to convert it to meters, and then, calculate its cost.

We have that:

10*1ft=10*0.305m\\\\10ft=3.05m

Now, we have that each meter of fabric cost $1.50, so, 3.05m of fabric will cost:

\frac{1m}{1.50(dollars)}=\frac{3.05m}{cost}\\\\cost=\frac{3.05m*1.50(dollars)}{1m}=4.575(dollars)=4.58(dollars)

Hence, we have that the cost of the fabric will be $4.58.

The correct option is: D.$4.58​

Have a nice day!

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Glenda receives a salary of $4,792 bimonthly. Find Glenda’s earnings per year.
Andre45 [30]

Answer: $28,752

Explanation:

The<u> definition of bimonthly</u> is an event that happens once in two months. -bi represents "two", while -monthly represents "event that happens by month.

Given that Glenda receives a salary of <u>$4,792 bi-monthly</u>, we are required to find the earnings per year.

There are <u>12 months in each year</u>, and if the given value is a 2-month value, then we shall divide 12 by 2 to find that there is in total 6 of the 2-month value.

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Finally, we shall <u>multiply the total number with the salary</u>, which will be $4,792 times 6.

4792*6=\boxed{28752}

Hope this helps!! :)

Please let me know if you have any questions

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4 years ago
Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. how high
bezimeni [28]

Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.

So if D is the diameter and h is the height of the conical pile then we can write:


D=3h

We know that diameter = 2r, where r is the radius

2r=3h

r=\frac{3h}{2}

Volume of conical pile is given by formula

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Now plug the values of Volume and r into equation of volume

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1110=\pi\cdot\frac{3h^3}{4}

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take cube root of both sides

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