Answer: 58.1 pounds
Step-by-step explanation:
Use proportion to solve peroblem.
30:249=7:x
30x=249*7
x=249*7/30
x=58.1 pounds
Answer: (3/10) in = (7/8) mi
1 in = (7/8) mi ÷ (3/10)
= 7/8 * (10/3) = 70/24
1 in = (70/24) mi
It means every 1 inch on the map drawing represents (70/24) miles ≈ 2.917 miles in reality.
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Check the forward differences of the sequence.
If , then let be the sequence of first-order differences of . That is, for n ≥ 1,
so that .
Let be the sequence of differences of ,
and we see that this is a constant sequence, . In other words, is an arithmetic sequence with common difference between terms of 2. That is,
and we can solve for in terms of :
and so on down to
We solve for in the same way.
Then
and so on down to
Answer:
Radius=3
Diameter=6
Circumference=18.85
Step-by-step explanation:
3x2
C=2πr=2·π·3≈18.84956
The length = 6W + 7. 2L + 2W = 70. This is a system of equations. To get L by itself in the second problem, -2W from both sides to get 2L = 70 - 2W. Divide by 2 to get L = 35 - W. Now put them together. 6W +7 = 35 - W. Add W to both sides to get 7W + 7 = 35. Subtract 7 from both sides to get 7W = 28. Divide 7 to both sides to get W = 4. Now replace W with 4. 6(4) + 7 = L. 24 + 7 = 31. The length is 31. To check, do the second equation. 2(31) + 2(4) = 62 + 8 = 70. Your answer is 31.