Henry has two pixie sticks full of delicious sugar. Henry
1 answer:
Answer:
14.67 gram
Step-by-step explanation:
Henry has two pixie sticks full of delicious sugar.
Now, each pixie stick contains 22 grams of sugary goodness, then in two sticks, there will be (22 × 2) = 44 grams of sugar.
Now, Henry shares two pixie sticks among two friends and himself in equal proportion.
Therefore, each of his friends will get (Round to the nearest tenth) gram of sugary goodness. (Answer)
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Answer:
The number of trees in each row is 21.
Step-by-step explanation:
Let us assume the number of trees in each row = m
So, the number of rows in the orchard = Number of trees in each row + 10
or, total number of trees in each row = (10 +m)
Now, Total number of Trees = Number of Rows x Number of trees in 1 row
⇒ 651 = m (m + 10)
⇒ (m +31) = 0, or (m-21) = 0
⇒ m= -31, or m = 21
Now, as m = The number of trees in each row, so m ≠ -31
So, m = 21
Hence, the number of trees in each row is m = 21.
Answer:
The ratio of the first term to the common difference is 1 : 2
Step-by-step explanation:
The rule of the sum of the AP is
, where
a is the first number
d is the common difference
n is the position of the number
∵ = 4 ×
⇒ (1)
→ Find and
∵ In n = 10
∴
∴
∴ = 10a + 45d ⇒ (2)
∵ In n = 5
∴
∴
∴ = 5a + 10d ⇒ (3)
→ Substitute (2) and (3) in (1)
∵ 10a + 45d = 4[5a + 10d]
∴ 10a +45d = 20a + 40d
→ Subtract 40d from both sides
∴ 10a + 45d - 40d = 20a + 40d - 40d
∴ 10a + 5d = 20a
→ Subtract 10a from both sides
∴ 10a - 10a + 5d = 20a - 10a
∴ 5d = 10a
→ Divide both sides by 5
∴ d = 2a
→ That means d is twice a or a is half d
∴ a : d = 1 : 2
The ratio of the first term to the common difference is 1 : 2