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love history [14]
2 years ago
11

Total cost for cookie and lemonade is 1.80. If lemonade costs 1.00 more than the cookie, how much was the lemonade?

Mathematics
1 answer:
Ray Of Light [21]2 years ago
5 0

Answer:

The lemonade costs 1.4.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a cookie.

y is the cost of a lemonade.

Total cost for cookie and lemonade is 1.80.

This means that x + y = 1.8.

As we want y, we have that x = 1.8 - y

Lemonade costs 1.00 more than the cookie?

This means that:

y = x + 1

So

y = 1.8 - y + 1

2y = 2.8

y = \frac{2.8}{2}

y = 1.4

The lemonade costs 1.4.

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Find the equation of the line through the points (-9,6) and (1,27).
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The equation of a line in the slope intercept form is expressed as

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m = (y2 - y1)/(x2 - x1)

From the information given, the line passes through an initial point of (- 9, 6) and (1, 27). This means that

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We would find the y intercept by substituting m = 21/10, x = - 9 and y = 6 into the slope intercept equation. We have

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By substituting m = 21/10 and c = 249/10 into the slope intercept equation, the equation of the line is

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