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slega [8]
2 years ago
8

Shara is building a birdhouse. She cuts a 6-foot-long board into sections that are each 1/3 foot long. How many sections of the

board will Shara have when she is finished cutting?
A 2
B 6 1/3
C 10 1/3
D 18
Mathematics
1 answer:
Sever21 [200]2 years ago
7 0

Answer:

D

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by its reciprocal.

6 ÷ 1/3

= 6 x 3/1

= 6 x 3

= 18

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When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and foun
Anestetic [448]

Answer:

The tree was 175 centimeters tall when Vlad moved into the house.

7 years passed from the time Vlad moved in until the tree was 357 centimeters tall.

Step-by-step explanation:

The height of the tree, in centimeters, in t years after Vlad moved into the house is given by an equation in the following format:

H(t) = H(0) + at

In which H(0) is the height of the tree when Vlad moved into the house and a is the yearly increase.

He measured it once a year and found that it grew by 26 centimeters each year.

This means that a = 26

So

H(t) = H(0) + 26t

4.5 years after he moved into the house, the tree was 292 centimeters tall. How tall was the tree when Vlad moved into the house?

This means that when t = 4.5, H(t) = 292. We use this to find H(0).

H(t) = H(0) + 26t

292 = H(0) + 26*4.5

H(0) = 292 - 26*4.5

H(0) = 175

The tree was 175 centimeters tall when Vlad moved into the house.

How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?

This is t for which H(t) = 357. So

H(t) = H(0) + 26t

H(t) = 175 + 26t

357 = 175 + 26t

26t = 182

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t = 7

7 years passed from the time Vlad moved in until the tree was 357 centimeters tall.

7 0
3 years ago
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