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Llana [10]
3 years ago
7

QUESTION 1

Mathematics
1 answer:
Aloiza [94]3 years ago
8 0

Answer:

None of them are correct

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A gardener is planting two types of trees: Type A is 9 feet tall and grows at a rate of 6 inches per year. Type B is 6 feet tall
xenn [34]

It will take exactly 3 years for these trees to be the same height

Step-by-step explanation:

A gardener is planting two types of trees

  • Type A is 9 feet tall and grows at a rate of 6 inches per year.
  • Type B is 6 feet tall and grows at a rate of 18 inches per year.

We need to find exactly how many years it will take for these trees to be the same height

To solve this problem let us make an equation of each type and then equate the two equations to find the number of years

Assume that the two types will have the same heights in x years

∵ Type A is 9 feet tall and grows at a rate of 6 inches per year

- Change the feet to inches

∵ 1 foot = 12 inches

∴ 9 feet = 9 × 12 = 108 inches

The height of the tree after x years is the sum of the initial height and the product of the rate of growth and the number of years

∵ The rate of growth = 6 inches per year

∵ The number of years = x

∵ The initial height = 108 inches

∴ The height of tree A = 108 + 6 x

∵ Type B is 6 feet tall and grows at a rate of 18 inches per year

∵ 1 foot = 12 inches

∴ 6 feet = 6 × 12 = 72 inches

∵ The rate of growth = 18 inches per year

∵ The number of years = x

∵ The initial height = 72 inches

∴ The height of tree B = 72 + 18 x

Now equate the two equations to find x

∵ 72 + 18 x = 108 + 6 x

- Subtract 72 from both sides

∴ 18 x = 36 + 6 x

- Subtract 6 x from both sides

∴ 12 x = 36

- Divide both sides by 12

∴ x = 3

It will take exactly 3 years for these trees to be the same height

Learn more:

You can learn more about the linear equations in brainly.com/question/9801816

#LearnwithBrainly

4 0
3 years ago
Write y+7=4(x+2) in standard form.
Vinvika [58]

Answer:

1 = 4x -y

Step-by-step explanation:

Distribute the 4

y + 7 = 4x + 8

Subtract the 7

y = 4x - 1

Subtract y and add 1

7 0
3 years ago
Read 2 more answers
In all, 1000 students took a statistics exam worth 150 points. The first quartile (or Q1) for all 1000 scores is 90 points. Abou
Brums [2.3K]

Answer:

The number of students who scored more than 90 points is 750.

Step-by-step explanation:

Quartiles are statistical measures that the divide the data into four groups.

The first quartile (Q₁) indicates that 25% of the observation are less than or equal to Q₁.

The second quartile (Q₂) indicates that 50% of the observation are less than or equal to Q₂.

The third quartile (Q₃) indicates that 75% of the observation are less than or equal to Q₃.

It is provided that the first quartile is at 90 points.

That is, P (X ≤ 90) = 0.25.

The probability that a student scores more than 90 points is:

P (X > 90) = 1 - P (X ≤ 90)

                = 1 - 0.25

                = 0.75

The number of students who scored more than 90 points is: 1000 × 0.75 = 750.

4 0
3 years ago
Read 2 more answers
0.9278 round to the nearest tenth
Zarrin [17]
0.9 is 0.9278 rounded to the nearest tenth. Hope this helps!
7 0
3 years ago
Read 2 more answers
Please help me solve 4 inequalities and show work. Will get brainiest!!
FrozenT [24]
1. y<span> ≤ 4x/3+5
2. y</span><span>< 6x/4+3</span>
5 0
3 years ago
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