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spayn [35]
3 years ago
13

Fruit juice makes up 2/3 of the liquid ingredients in Alonzo's punch recipe. Estimate how many gallons of fruit juice are needed

to make 8 1/2 gallons of punch.
Mathematics
1 answer:
antiseptic1488 [7]3 years ago
6 0
2 and 2/3 gallons of fruit juice is needed
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On the negative plane field? because everything on the - side is negative.
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Otrada [13]

Answer:

42

Step-by-step explanation:

In short, the sum of the opposite areas are equal.

x + 30 = 24 + 48

x = 42

To prove this, draw a line from each corner to the "center" where the four lines meet.  Along each side of the square are two triangles.  These triangles have the same base and the same height, and therefore have the same area.

If we say the triangles at the bottom have area a, the triangles on the left have area b, the triangles on top have area c, and the triangles on the right have area d, then we can write 4 equations:

a + b = x

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c + d = 30

a + d = 48

Adding the first and third equations:

a + b + c + d = x + 30

Adding the second and fourth equations:

a + b + c + d = 24 + 48

Therefore:

x + 30 = 24 + 48

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8 0
3 years ago
What is (f + g)(x)? f(x) = -5x + 3 g(x) = -3x? Write your answer as a polynomial or a rational function in simplest form.​
ivann1987 [24]

Answer:

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liberstina [14]

Answer:

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The measure of an arc of a circle is half the measure of the angle that is created when two chords from the endpoints of the arc intersect on the circumference of the circle, so 65/2 = 32.5.

5 0
3 years ago
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