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Contact [7]
3 years ago
9

At a baseball game, Carlton buys 2 hotdogs and 1 box of popcorn for $6.75. Manny buys 1 hotdog and 1 box of popcorn for $4.25. h

ow much does one hotdog cost?
Mathematics
1 answer:
Ne4ueva [31]3 years ago
6 0

Answer:

1 Hot dog = $2.50; 1 Nacho = $3.00

Step-by-step explanation:

Let  x  be the cost of 1 hotdog

let  y  be the cost of 1 nacho

6 x + 3 y = 24  (Equation 1)

8 x + 1 y = 23  (Equation 2)

Divide equation 1 by 3

2 x + y = 8   (Equation 3)

Subtract Equation 3 from Equation 2

8 x − 2 x +y − y = 23 − 8

Simplifying

6 x = 15

1 Hot dog = $2.50

Substitute the value calculated above into Equation 1

15 + 3 y = 24

3 y = 9

1 Nacho = $3.00

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What is the equation of the directrix of the parabola given by the equation y2 = -24x?
erma4kov [3.2K]

The equation of the directrix of the parabola given is x = 6, Option D is the correct answer.

<h3>What is Directrix of a Parabola ?</h3>

A parabola is a U shaped curve whose all point are at same distnace from a  point called as focus and a line called as Directrix .

The equation of the parabola given is

y² = -24x

When the standard equation of parabola is

 (y - k)² = 4p (x - h),

where the focus is (h + p, k) and the directrix is x = h - p.

here h = 0

p = -24/4 = -6

x =  0 - (-6)

x = 6

Therefore Option D is the correct answer.

To know more about Directrix

brainly.com/question/17376399

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4 0
2 years ago
HELP PLEASE
iragen [17]

Answer:

third number = 4,

equation of y, y = 5x - 11

equation of n, n = 4x

equation of x, n + x + y =19

Step-by-step explanation:

so lets write evertything as a n equation. n + x + y =19. N is the first number, x is the second number, and y is the third number. We will write the equation for y as follows 5x - 11. N will be four times the second number, so 4x. If substitute the values for out equation for x we will find what x equals to. So (4x) + x + (5x - 11) = 19

10x = 30

x = 3.

Then you substiute the answer for x in the equation for y. This will get you 5(3) - 11

15 - 11

4 = third number

4 0
3 years ago
How do you find the distance around a triangle that had sides measuring 2-1/8 feet, 3-1/2 feet, and 2-1/2 feet?
tatuchka [14]
1. Turn the fractions in to decimals
2.Add them up

2.13 + 3.5 + 2.5 = 8.13ft
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3 years ago
Teni had 16 berries. She has a number two greater than Marta. How many berries Marta had
Hitman42 [59]
I think the answer is 8
but im not 100% sure
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A pet store marks down all of its grooming products by 15%off the selling price of p. Write an expression for the sale price
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Answer:

0.15p

Step-by-step explanation:

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2 years ago
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