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prisoha [69]
3 years ago
8

Lin is paid $90 for 5 hours of work. She used the following table to calculate how much she would be paid at this rate for 8 hou

rs of work.
amount earned/time worked
-----------------------------
I 90 I 5 I 1/5
I 18 I 1 I
I 144 I 8 I
I I I


Why was the number 1/5 used as a multiplier?
Mathematics
1 answer:
ycow [4]3 years ago
7 0

Answer:

It was used as the multiplier because the 5 represents the hours she's worked. If she uses the 1/5 graph she will find the unit rate of each time she gets paid an hour.

Step-by-step explanation:

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Step-by-step explanation:

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lbvjy [14]
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Which systems of equations intersect at point A in this graph?
abruzzese [7]

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

Step-by-step explanation:

Given the point

  • A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Arrange equation variable for elimination

\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}

so

y+3x=-5

-

\underline{y-4x=9}

7x=-14

so the system of equations becomes

\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}

Solve 7x = -14 for x

7x=-14

Divide both sides by 7

\frac{7x}{7}=\frac{-14}{7}

Simplify

x = -2

For y - 4x = 9 plug in x = 2

y-4\left(-2\right)=9

y+4\cdot \:2=9

y+8=9

Subtract 8 from both sides

y+8-8=9-8

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

3 0
2 years ago
Find two consecutive odd integers such that 62 more than the lesser is five times the greater.
lidiya [134]
Idk really know srry
8 0
2 years ago
Read 2 more answers
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