Answer:
A
Step-by-step explanation:
Machine A pops more popcorn (12.75 vs 10 oz) in less time (3 min vs 4 min), so pops popcorn the fastest.
Machine A pops more popcorn in one minute, on average.
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<em>Additional comment</em>
As a practical matter, neither machine may have popped <em>any</em> popcorn in one minute. Generally, one must wait for the cycle to complete. The average overall rate will depend on how quickly each machine can be recycled to produce another batch.
A,B, and C are like terms because they all match. 3m and 4m because they both end in m 7n and 8n because they both end in n and 2n2 and 3n2 because they both end in n2
Answer:
Let pens be x and y be pencils
Let's solve now
7x+2y=22 equation 1
3x+4y=11 equation 2
let's make y the subject of the formular in equatio 1
y=(22-7x)/2
substituting y into the second equation yield
3x+4(22/2-7x/2)=11
Now find x.
9514 1404 393
Answer:
x ∈ {2.07014981016}
Step-by-step explanation:
The equation can be rewritten as ...
√x = 18-8x
x = 324 -288x +64x²
64x² -289x +324 = 0
x = (289 ±√577)/128 ≈ {2.07015, 2.44548}
Since √x must be positive, we know that ...
18 -8x ≥ 0
x ≤ 18/8 = 2.25
The larger of the above solutions is extraneous, so the solution set is ...
x ∈ {(289 -√577)/128} ≈ {2.07015}
Answer: 7:1
Step-by-step explanation:
The answer is 7:1 because when referring to ratios the answer has to correspond to a group of items to something else. In this case, we are comparing 7 inches to a yard.