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zaharov [31]
3 years ago
13

Ruben bought 2 large popcorn buckets and 4 small drinks for $20. Lucia bought 2 large popcorn buckets and 2 small drinks for $14

. What was the cost of the large popcorn and the small drink?
Mathematics
2 answers:
Elanso [62]3 years ago
6 0

Answer:

The large popcorn bucket cost $4 and the small drink cost $3.

Step-by-step explanation:

soldier1979 [14.2K]3 years ago
4 0

Answer:

$3 for the small drinks and $4 for the large popcorn

Step-by-step explanation:

so we know that 2 popcorns and 4 small drinks give us $20 and 2 popcorns and 2 drinks gives us 14. so $6 was taken away because of two drinks and 6÷2 equals 3 therefore $3 is how much a small drink costs. after taking away another 6 from 14 because we found the costs of drinks we get $8 for two popcorns and 8÷2 is 4 so a large popcorn costs $4

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what is the equation of a line in slope intercept form that is perpendicular to y=2x+2 and passes through the point (8,-4)
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Answer:

The equation of the line that is <em>perpendicular</em> to <em>y = 2x + 2</em> is

<em>y = -1/2x</em>

Step-by-step explanation:

The original equation is y = 2x + 2; it's slope is <em>2</em>

Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.

Example:

y = 2x + 2 so,

the perpendicular line's slope must be -1/2

Write a new equation with the new slope:

y = -1/2x + b

We know that this line passes through (8, -4)

Plug these coordinates in the equation to find b, the y-intercept

-4 = -1/2 (8) + b

-4 = -4 + b

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We do not have to write y = -1/2x + 0

So, our final answer is "y = -1/2x  is perpendicular to y = 2x+2"

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