Which number is equivalent to the fraction 15 over 7?
1 answer:
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Answer:
= 5n - 2
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₄ = 18 , then
a₁ + 3d = 18 , that is
3 + 3d = 18 ( subtract 3 from both sides )
3d = 15 (divide both sides by 3 )
d = 5
Then
= 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2 ← explicit rule
Answer:
3
Step-by-step explanation:
The boxes are stacked 5 boxes deep by 4 boxes high by 4 boxes across, then there are boxes in total.
The mass of 1 box of paper is 22.5 kilograms, so 80 boxes weigh kilograms.
When the driver is in the truck, the mass is 2948.35 kilograms, then the total mass is
Let n be the number of boxes of paper the driver must deliver at the first stop. Their weigth is 22.5n kg and the weight of the truck without n boxes is
Trucks with a mass greater than 4700 kilograms are not allowed over the bridge, thus
Hence, the driver must deliver at least 3 boxes at the first shop.