It will take exactly 4 years for these trees to be the same height
Step-by-step explanation:
A gardener is planting two types of trees:
- Type A is 3 feet tall and grows at a rate of 7 inches per year
- Type B is 5 feet tall and grows at a rate of 1 inches per year
We need to find in how many years it will take for these trees to be the
same height
Assume that it will take x years for these trees to be the same height
The height of a tree = initial height + rate of grow × number of years
Type A:
∵ The initial height = 3 feet
∵ 1 foot = 12 inches
∴ The initial height = 3 × 12 = 36 inches
∵ The rate of grows = 7 inches per year
∵ The number of year = x
∴ 
= 36 + (7) x
∴ = 36 + 7 x
Type B:
∵ The initial height = 5 feet
∴ The initial height = 5 × 12 = 60 inches
∵ The rate of grows = 1 inches per year
∵ The number of year = x
∴ 
= 60 + (1) x
∴ = 60 + x
Equate and
∴ 36 + 7 x = 60 + x
- Subtract x from both sides
∴ 36 + 6 x = 60
- Subtract 36 from both sides
∴ 6 x = 24
- Divide both sides by 6
∴ x = 4
∴ The two trees will be in the same height in 4 years
It will take exactly 4 years for these trees to be the same height
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Given:
Number of passengers seated in the roller coaster = 21
Empty seats = 3
Number of cars in roller coaster = 4 (each with the same number of seats)
To find:
An equation that can be used to determine the number of seats in each car.
Solution:
Let s be the number of seats in each car.
Total number of seats in 4 cars = 4s
Using the given information,
Total number of seats = Occupied seated + Empty seats
= 21 + 3
= 24
Now, the required equation is
Therefore, the required equation is .
Divide both sides by 4.
Therefore, the number of seats in each car is 6.
Answer: The approximate value of x is -3.396
Step-by-step explanation:
Given:
Now,to find the value of x.
Use logarithm rule:
We have,
Now,
Using value of: and we get,
on simplify:
Adding 1 both the sides, we get
Therefore, the approximate value of x for the equation is -3.396.
=
Step-by-step explanation:
Step-by-step explanation:
⅔ + ¾
→ make the denominator equal of both the fraction
= 2/3 × 4/4 = 8/12
= 3/4 × 3/3 = 9/12
hence,
8/12 + 9/12
= 8 + 9/12 = 17/12
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Oh gosh i wish i knew how to do that what grade are u in cause i remember having that last year but dont remember.
