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ss7ja [257]
3 years ago
11

Walt is mixing fruit punch for a party. He combines 1 gallon 2 quarts 3 pints of orange juice, 1 gallon 3 quarts 7 pints of pine

apple juice, and 1 gallon 3 quarts 3 pints of ginger ale. What's the total liquid measure of the punch?
Mathematics
1 answer:
mafiozo [28]3 years ago
5 0
1 gal + 2 qt + 3 pts
1 gal + 3 qt + 7 pts
1 gal + 3 qt + 3 pts
----------------------------add
3 gal + 8 qt + 13 pts

1 gal = 4 qts
1 gal = 8 pts
1 pt = 1/2 qt

13 pts =  6.5 qts
now we have 3 gal + (8 + 6.5) = 3 gal + 14.5 qts
12 qts = 3 gal
now we have : 6 gal + 2.5 qts or 6 gal + 2 qts + 1 pt <=== answer


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Which systems of equations intersect at point A in this graph?
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Answer:

The point of intersection of the system of equations is:

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

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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

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Arrange equation variable for elimination

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\underline{y-4x=9}

7x=-14

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

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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

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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.

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