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3 years ago

If tatianna works 3hrs a day on school days and make $123.75 a week what is her hourly rate?

Mathematics

1 answer:

madreJ [45]3 years ago

6 0

Answer:

Her hourly rate is $8.25

Explanation:

Tatianna works 3 hours a day on school days and makes a total of $123.75 in a week

We know that:

There are 5 school days in a week

We are given that:

She works for 3 hours a day each of those days

Therefore:

Total number of hours worked = hours worked daily * number of days

Total number of hours worked = 3 * 5 = 15 hours in a week

The equation used to calculate Tatianna's earnings is:

Amount she makes in a week = Total number of hours worked * hourly rate

Now, we substitute with the givens to get the hourly rate as follows:

Amount she makes in a week = Total number of hours worked * hourly rate

123.75 = 15 * hourly rate

Hourly rate = $8.25

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3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall

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Answer:

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Step-by-step explanation:

step 1

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The volume of the hemisphere is given by the formula

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In this problem, the wide of the toy is equal to the diameter of the hemisphere

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substitute

$V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3$

step 2

Find the volume of the cone

The volume of the cone is given by

$V=\frac{1}{3}\pi r^{2}h$

we know that

The radius of the cone is the same that the radius of the hemisphere

$r=1\ ft$

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

$h=4-1=3\ ft$

substitute the given values

$V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3$

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

$V=(\frac{2}{3} \pi+\pi)\ ft^3$

$V=(\frac{5}{3}\pi)\ ft^3$

assume

$\pi=3.14$

$V=\frac{5}{3}(3.14)=5.23\ ft^3$

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3 years ago

If tatianna works 3hrs a day on school days and make $123.75 a week what is her hourly rate?​

If tatianna works 3hrs a day on school days and make $123.75 a week what is her hourly rate?