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EastWind [94]
3 years ago
12

The pep squad sold c, cheeseburgers and h, hothogs at the friday night football game. A total of 220 were sold. There were 3 tim

es more hotdogs sold than cheeseburgers. Write a system of equations for this situation.
Mathematics
1 answer:
tatiyna3 years ago
6 0

Answer:

  • c + h = 220
  • h = 3c

Step-by-step explanation:

The total sold is the sum of the individual numbers sold, hence c+h.

We assume "3 times more" means "3 times as many", so the number of hotdogs sold (h) is 3 times the number of cheeseburgers sold (c), hence 3c.

  c + h = 220

  h = 3c

_____

55 cheeseburgers and 165 hotdogs were sold.

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the perimeter of the rectangle below is 98 units. Find the length of CD. Write your answer without variables. cd=4x+3 cb=5x+1
zimovet [89]

2(4x + 3) + 2(5x + 1) = 98 \\ 8x + 6 + 10x + 2 = 98 \\ 18x + 8 = 98 \\ 18x = 90 \\  x = 5
Substitute x with 5,

CD =
4x + 3 \\  = 4(5) + 3 \\  = 20 + 3 \\  = 23
CD = 23 units

Hope this helps.
7 0
3 years ago
Read 2 more answers
Matthew bought snacks for soccer team. He bought a bag of apple slices for $5.65, and he bought a 12 pack of Gatorade bottles. T
agasfer [191]

Answer:

6.48/12=B

Step-by-step explanation:

B=6.48

6.48/12=0.54

Each Gatorade bottle costs 54 cents.

5 0
3 years ago
Read 2 more answers
Write a quadratic function in vertex form whose graph has the vertex (-3,5) and passes through the point (0,-14)
dsp73

Answer:

f(x) = -19/9(x + 3)² + 5

Step-by-step explanation:

Given the vertex, (-3, 5) and the point, (0, 14):

Use the following quadratic equation formula in vertex form:

f(x) = a(x - h)² + k

where:

(h, k) = vertex

a = determines whether the graph opens up or down, and makes the graph wide or narrow.

<em>h</em><em> </em>= determines how far left or right the parent function is translated.

<em>k</em> =  determines how far up or down the parent function is translated.

Plug in the values of the vertex, (-3, 5) and the given point, (0, 14) to solve for <em>a</em>:

f(x) = a(x - h)² + k

14 = a(0 + 3)² + 5

14 = a(3)² + 5

14 = a(9) + 5

Subtract 5 from both sides:

-14 - 5 = 9a

-19 = 9a

Divide both sides by 9 to solve for a:

-19/9 = 9a/9

-19/9 = a

Therefore, the quadratic function in vertex form is:

f(x) = -19/9(x + 3)² + 5

Please mark my answers as the Brainliest, if you find this helpful :)

5 0
2 years ago
a triangle has a perimeter of 10x+2 . two sides have lengths of 5x and 2x+9 what is the length of the 3rd side
stiks02 [169]
Since all the sides add up to 10x+2, that means that 10x-2-<side1>-<side2>=<side3>. Plugging it in, we have 10x-2-5x-(2x+9)=side3, and 5x-2-(2x+9)=side3, then expanding it to 5x-2-2x-9=3x-11=side3
8 0
3 years ago
Find the value of the missing coefficient a in the equation y = a(x - 3)(x + 5) if the graph goes through the point (1, -6)
horrorfan [7]

Answer:

3

Step-by-step explanation:

you have to solve for x then you can find the coeeffiecnt

3 0
2 years ago
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