Tims age in 7 years. will be 3 times what it was 19 years ago

A gardener is planting two types of trees:

Scrat [10]

It will take 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 6 feet tall and grows at a rate of 12 inches per year

Type B is 2 feet tall and grows at a rate of 24 inches per year

We need to find exactly 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

Type A:

∵ The initial height of the tree is 6 feet

∵ 1 foot = 12 inches

∴ 6 feet = 6 × 12 = 72 inches

∴ The initial height of the tree is 72 inches

∵ It grows at a rate of 12 inches per year

∵ The number of years is x

∴ The height of the tree in x years = 72 + 12 x

Type B:

∵ The initial height of the tree is 2 feet

∴ 2 feet = 2 × 12 = 24 inches

∴ The initial height of the tree is 24 inches

∵ It grows at a rate of 24 inches per year

∵ The number of years is x

∴ The height of the tree in x years = 24 + 24 x

Equate The heights of the two types

∴ 72 + 12 x = 24 + 24 x

- Subtract 2 from both sides

∴ 48 + 12 x = 24 x

- Subtract 12 x from both sides

∴ 48 = 12 x

- Divide both sides by 12

∴ x = 4

It will take 4 years for these trees to be the same height

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

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3 0

2 years ago

The mechanics at Giuseppe’s Auto House specialize in changing fuel injection units and transmissions. Last week, they changed 5

Lemur [1.5K]

Answer:

The solution is (2,6)

Step-by-step explanation:

Let

x-----> the number of hours to change a fuel injection unit

y-----> the number of hours to change a transmission

we know that

5x+10y=70 -----> equation A

8x+8y=64 -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (2,6)

see the attached figure

4 0

2 years ago

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Simplify log(16x²) ± 2㏒(1÷×)

sp2606 [1]

Answer: just simplify condense it then your answer will be log(16)

8 0

2 years ago

Mo wrote and solved the equation below to find the cost per magnet.<br> 66.25w=795<br> W=12

crimeas [40]

? what are you trying to find

5 0

2 years ago

Read 2 more answers

Martin and Alexia are rock climbing each person's rate stays the same for the first hour they climb mountain climbers 3 1/3 mete

Minchanka [31]

1. If Martin climbs 3 1/3 meters in the first one 1/6 hour, then he climbs

$3\dfrac{1}{3}\cdot 6=\dfrac{10}{3}\cdot 6=20$ meters per hour. Then, option A is correct and options C and E are false.

2. If Alexia climbs 17 1/2 in the first 5/6 hour, then she climbs

$17\dfrac{1}{2}\cdot \dfrac{6}{5}=\dfrac{35}{2}\cdot \dfrac{6}{5}=21$ meters per hour and it takes Alexia $\dfrac{1}{21}$ of an hour to climb 1 meter. Then options B and D are correct and option F is false.

Answer: correct options are A, B and D.

7 0

2 years ago