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gtnhenbr [62]
3 years ago
12

Pablo ran a concession stand last Saturday and made $79.80 from selling a total of 53 hot dogs and hamburgers. Each hot dog sold

for $1.40 and each hamburger sold for $1.80. Which system of equations can be used to determine the number of hot dogs, x, and hamburgers, y, that were sold?
A. 1.4x + 1.8y = 79.8
39x + 14y = 53

B. 0.7x + 0.9y = 79.8
x + y = 3.2

C. 1.4x + 1.8y = 79.8
x + y = 53

D. 2.8x + 3.6y = 3.2
x + y = 546
Mathematics
1 answer:
Olegator [25]3 years ago
4 0

Answer:

C. 1.4x + 1.8y = 79.8

x + y = 53

Step-by-step explanation:

The problem statement gives rise to two equations, one for the amount of money made, and one for the number of items sold. If x and y represent the numbers of items, and if 53 items were sold, then one of the equations will be ...

x + y = 53

This is sufficient to let you choose the correct answer.

___

Since "x" items were sold for $1.40 and "y" items were sold for $1.80, the sales revenue will be the sum of products of price and quantity:

1.40x +1.80y = 79.80

This confirms the choice of answer.

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On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime
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The rule which describe the composition of transformations that

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Step-by-step explanation:

Let us revise the reflection across the y-axis , horizontal translation

and vertical translation

1. If point (x , y) is reflected across the y-axis, then its image is (-x , y)

2. If point (x , y) is translated h units to the right, then its image is

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3. If point (x , y) is translated k units up, then its image is (x , y + k),

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∵ The vertices of triangle BCD are (1 , 4) , (1 , 2) , (5 , 3)

∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)

∵ The x-coordinates of the vertices of Δ B'C'D' have the same

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∴ Δ B'C'D' is the image of Δ ABC after reflection across the y-axis

∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)

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∵ The image of -1 is 5 and the image of -5 is 1

∴ The x-coordinates of the vertices of triangle B'C'D' are added by 6

∵ The image of 4 is -1 , image of 2 is -3 and the image of 3 is -2

∴ The y-coordinates of the vertices of triangle B'C'D' are subtracted

   by 5

∴ Δ B"C"D" is the image of Δ B'C'D' by translate 6 units to the right

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The rule which describe the composition of transformations that

maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis composition translation of 6 units x,

negative 5 units y

Learn more:

You can learn more about reflection in brainly.com/question/11203617

#LearnwithBrainly

3 0
2 years ago
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adell [148]

Answer:

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Step-by-step explanation:

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In the figure shown, the length is 5, width is 4, and height is 6 (in cm). We just substitute and find the answer. Shown below:

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So, we can say:

Volume of the Pyramid = 40 cubic centimeters

7 0
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