X = large boxes and y = small boxes
x + y = 70.....x = 70 - y
60x + 65y = 4300
60(70 - y) + 65y = 4300
4200 - 60y + 65y = 4300
5y = 4300 - 4200
5y = 100
y = 100/5
y = 20 <=== the small boxes weigh 20 lbs
x + y = 70
x + 20 = 70
x = 70 - 20
x = 50 <== and the large boxes weigh 50 lbs
Differentiating an integral removes the integral.
f(x) = integral of dt/sqrt(t^3 + 2)
f'(x) = 1/sqrt(x^3 + 2)
f'(1) = 1/sqrt(1^3 + 2)
f'(1) = 1/sqrt(3) = sqrt(3)/3.
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Answer:
StartFraction 16 over 81 EndFraction
Step-by-step explanation:
There are 4 prime numbers from 2 to 10 (2, 3, 5, 7) and 9 numbers from 2 - 10. Total possibilities: 9 * 9 = 81
Prime possibilities: 4 * 4 = 16
Therefore the answer is 16/81 or StartFraction 16 over 81 EndFraction
Answer:
16x - 48y +24
Step-by-step explanation:
We can use the distributive property to expand:
- 8(2x - 6y + 3)
- 8 x 2x - 8 x 6y + 8 x 3
- 16x - 48y + 24
Hope this helps!!
Answer:
Step-by-step explanation:
If the length of a bridge on a map is 1 cm,then the actual length = 40,000
If the length of a bridge on a map is 1.5 cm,then the actual length= 1.5 * 40000
= 60000.0 = 60,000 m
