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oee [108]
1 year ago
14

Christopher buys 120 hot dog buns for a picnic. He buys two different brands of hot dog buns. Brand X has 12 hot dog buns in a p

ackage that costs $4.50. Brand Y has 8 hot dog buns in a package that costs $3.50. Christopher spends $49.50 on hot dog buns. a. Write a system of equations that can be used to find the number of packages of Brand X hot dog buns, x, and Brand Y hot dog buns, y, that Christopher buys. b. Solve the system of equations to find the values of x and y. Show your work or explain how you know.
Mathematics
1 answer:
Mariana [72]1 year ago
4 0
Brand X cost: $4.50
Brand Y cost: $3.50

Christopher spends total: $49.50

Equation: 4.50x + 3.50y = 49.50

Idk how to solve the equation but this should be the correct equation
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Stolb23 [73]

Answer:  The correct option is (A) reduction.

Step-by-step explanation:  Given that the quadrilateral A'B'C'D' is a dilation of the quadrilateral ABCD.

As shown in the given figure, the lengths of the sides of quadrilateral ABCD are as follows:

AB = 5 units, BC = 4 units, CD = 10 units and DA = 6 units.

And, the lengths of the sides of quadrilateral A'B'C'D' are as follows:

A'B'=1\dfrac{1}{4}=\dfrac{5}{4}~\textup{units},~~B'C'=1~\textup{units},~~C'D'=2\dfrac{1}{2}=\dfrac{5}{2}~\textup{units},\\\\D'A'=1\dfrac{1}{2}=\dfrac{3}{2}~\textup{units}.

We know that the dilation will be an enlargement if the scale factor is greater than 1 and it will be a reduction if the scale factor is less than 1.

Now, the scale factor is given by

S=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}\\\\\\\Rightarrow S=\dfrac{A'B'}{AB}=\dfrac{\frac{5}{4}}{5}=\dfrac{5}{4\times5}=\dfrac{1}{4}

Since the scale factor is less than 1, so the dilation will be a reduction.

5 0
1 year ago
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The championship record in baseball in a certain year was 52 games won, and 14 lost. What percent of the games were won?
slamgirl [31]
Number of games won/Number of total games played x 100%

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Hope u understood! :)
5 0
2 years ago
The slope of the line below is -5/7 Write the point-slope equation of the line using the coordinates of the labeled point.
Vesna [10]

Answer:

The answer is C) y - 2 = -5/7(x - 6)

Step-by-step explanation:

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y - y1 = m(x - x1)

y - 2 = -5/7(x - 6)

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2 years ago
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Jared is placing chairs around of rectangular stage. The stage is 10 feet long and 22 feet wide. He wants to put a chair at each
marishachu [46]
Hi there, I believe the answer is 20. Because, each corner is 4 chairs plus every two feet, equals 20. Hope this helps!
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2 years ago
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t takes Dariya 35 seconds to download 5 songs from the Internet. How can the number of seconds it would take Dariya to download
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She would be able to download 49 at this rate.
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2 years ago
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