Answer:
Step-by-step explanation:
<u>Use ratios:</u>
- 30/20 = (x + 5)/(36 - 20)
- 3/2 = (x + 5)/16
- 2(x + 5) = 3(16)
- 2x + 10 = 48
- 2x = 38
- x = 19
Answer:
a-b = 31 (a ≠ b)
Step-by-step explanation:
(3x²-x+1)(px²+qx+1) = ax⁴+bx³+12x² - 6x + 1
3px⁴+(3q-p)x³+(3+p-q)x²+(q-1)x+1 = ax⁴+bx³+12x² - 6x + 1
q-1 = -6 q = -5
3+p-q = 3+p-(-5) = 8+p = 12 p = 4
b = 3q-p = 3*(-5) - 4 = <u>-19</u>
a = 3p = 3*4 = <u>12</u>
a-b = 12 - (-19) = 31
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Answer: 6 batches
Step-by-step explanation:
From the question, we are informed that one batch of cookies requires 2⁄3 cup of flour.
Therefore, the number of batches that can be made with 4 cups of flour will be:
= 4 / 2/3
= 4 × 3/2
= 12/2
= 6 batches
Answer:
5/18
Step-by-step explanation:
speed = distance / time
s = (2/9 miles) / (4/5 hours)
To divide by a fraction, multiply by the reciprocal:
s = (2/9) × (5/4)
s = 10/36
s = 5/18
So the snake's speed is 5/18 miles per hour.
1- (7,13)
2-(8,5)
3-(2,5)
4-(3,10)