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OLga [1]
2 years ago
7

Mr. Ealy works at a shoe store. Mr. Ealy's hourly pay is $14, and he also gets 8% commission on sales. He worked 80 hours over t

he last pay period and had $3,450 in shoe sales.
How much was his total income consisting of wages and pay over the last pay period?

A.
$1,810
B.
$1,209.60
C.
$1,551.25
D.
$1,396
Mathematics
1 answer:
S_A_V [24]2 years ago
3 0
Answer: D $1,396

80 hours x 14 dollars= 1120 dollars
1120+ 8 percent of shoe sales
shoe sales=3450$
3450x0.08 commision=276$
1120+276= 1396 dollars
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A student earned a grade of 80% on a math test that had 20 problems. How many problems on this test did the student answer corre
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Answer:

16 problems.

Step-by-step explanation:

100% divided by 20 questions.

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Marty made a $220 bank deposit using $10 bills and $5 bills. She gave the teller a total of 38 bills, how many $5 bills were in
Luda [366]

ANSWER: 32 five-dollar bills

======

EXPLANATION:

Let x be number of $5 bills

Let y be number of $10 bills

Since we have total of 38 bills, we must have the sum of x and y be 38

x + y = 38 (I)

Since the total amount deposited is $220, we must have the sum of 5x and 10y be 220 (x and y are just the "number of" their respective bills, so we multiply them by their value to get the total value):

5x + 10y = 220 (II)

System of equations:

\left\{ \begin{aligned} x + y &= 38 && \text{(I)} \\ 5x + 10y &= 220 && \text{(II)} \end{aligned} \right.

Divide both sides of equation (II) by 5 so our numbers become smaller

\left\{ \begin{aligned} x + y &= 38 && \text{(I)} \\ x + 2y &= 44 && \text{(II)} \end{aligned} \right.

Rearrange (I) to solve for y so that we can substitute into (II)

\begin{aligned} x + y &= 38 && \text{(I)} \\ y &= 38 - x \end{aligned}

Substituting this into equation (II) for the y:

\begin{aligned} x + 2y &= 44 && \text{(II)} \\ x + 2(38 - x) &= 44\\ x + 76 - 2x &= 44 \\ -x &= -32 \\ x &= 32 \end{aligned}

We have 32 five-dollar bills

======

If we want to finish off the question, use y = 38 - x to figure out number of $10 bills

y = 38 - 32 = 6

32 five-dollar bills and 6 ten-dollar bills

7 0
3 years ago
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Answer:

B) Adjacent

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Pretend that the angle (the one with the round line) is an eyeball that is looking outwards. The eye is looking out at side BC. That means that line BC is opposite of the angle.

This leaves one side left: the adjacent side. The adjacent side is the side next to the angle. But it is the side that is NOT the hypotenuse.

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What is the volume of the right triangular prism shown?
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<u>Given</u>:

The sides of the base of the triangle are 8, 15 and 17.

The height of the prism is 15 units.

We need to determine the volume of the right triangular prism.

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The area of the base of the triangle can be determined using the Heron's formula.

S=\frac{a+b+c}{2}

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Using Heron's formula, we have;

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Area = \sqrt{20(20-8)(20-15)(20-17)}

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Area = \sqrt{3600}

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Thus, the area of the base of the right triangular prism is 36 square units.

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The volume of the right triangular prism can be determined using the formula,

V=\frac{1}{2}A_b h

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