5p + 4g = 42.5
<span>3p + 6g = 34.5 </span>
<span>15p + 12g = 127.5 </span>
<span>-6p - 12g = -69 </span>
<span>9p = 58.5 </span>
<span>p = 6.5 </span>
<span>g = 2.5 </span>
<span>popcorn = $6.50 </span>
<span>granola = $2.50
A is the answer </span>
9514 1404 393
Answer:
7. d. l = 6.48 cm, w = 6.48 cm
8. d. square
Step-by-step explanation:
For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.
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7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.
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8. In light of the above, the shape is a square.
_____
The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.
To match the number with the opposite, we are flipping the sign. If the sign is originally a negative, it would become a positive, and vice versa.
Term: 3.2 Match (Opposite): B) - 3.2
Term: -2.3 Match (Opposite): D) 2.3
Term: -1.5 Match (Opposite): C) 1.5
Term: 5.1 Match (Opposite): A) -5.1
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Answer:
360,360
Step-by-step explanation:
So we only have 5 spots, but 15 bands to fill those spots.
For the first spot, we can choose from any of the 15 bands, so we have 15 choices.
For the second spot, we can choose from the 14 remaining bands (because we already chose one for the first spot), so we have 14 choices.
For the third spot, by similar reasoning as above, we have 13 choices; for the fourth spot, 12 choices; and for the last spot, we have 11 choices.
We realize that for each of the 15 possible bands in the first spot, we still have 14 possible bands for the second spot, and so on. Thus, we know to multiply instead of add.
Our answer is: 15 * 14 * 13 * 12 * 11 = 360,360
Answer:
X=56 Y=56
Step-by-step explanation:
