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tangare [24]
3 years ago
12

A gardener is planting two types of trees:

Mathematics
1 answer:
denpristay [2]3 years ago
7 0

It takes 12 years for both trees to be of same height

<em><u>Solution:</u></em>

Assume the year that it would take to these trees have the same height is : x (years)

<em><u>Type A is 7 feet tall and grows at a rate of 23 inches per year:</u></em>

Convert 7 feet to inches

We know that,

1 foot = 12 inch

7 feet = 12 x 7 inch = 84 inch

Thus, type A is 84 inches tall and grows at a rate of 23 inches per year

We can frame a equation as:

Type A = 84 + 23(number of years)

Type A = 84 + 23x ---------- eqn 1

<em><u>Type B is 5 feet tall and grows at a rate of 25 inches per year</u></em>

Convert 5 feet to inches

5 feet = 5 x 12 inches = 60 inches

Thus, type B is 60 inches tall and grows at a rate of 25 inches per year

We can frame a equation as:

Type B = 60 + 25(number of years)

Type B = 60 + 25x --------- eqn 2

For both the trees to be of same height, eqn 1 must be equal to eqn 2

84 + 23x = 60 + 25x

25x - 23x = 84 - 60

2x = 24

x = 12

Thus it takes 12 years for both trees to be of same height

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stepan [7]
It would be 99%. If you draw the normal distribution curve and plot the mean and standard deviation, it might help you visually.

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4 0
3 years ago
Can someone please help me with the first question?
Paraphin [41]
Answer is A. 18
Because n + 18 =2n
6 0
3 years ago
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The graph shows a car's value as a function of its age.
otez555 [7]
The car was worth $10,000.

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3 0
2 years ago
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What is log base 7 of 252
rjkz [21]

Answer:

2.84

Step-by-step explanation:

Recognize that 252 = 7*36

and so:

log base 7 of 252 = log base 7 of 36 + log base 7 of 7, or

                                 log base 7 of 36 + 1

So the most you can simplify log base 7 of 252 is to write 1 + log base 7 of 36.

Or, if you want to use the change of base formula, you could do the following:

                                 log 36

log base 7 of 36 = -------------- = 1.84

                                  log 7

and so log base 7 of 252 would come out to

1 + log base 7 of 36  =  1 + 1.84  = 2.84

Check:  does 7^2.84 = 252?  YES.  So we know that:

 1 + log base 7 of 36 = 2.84

4 0
3 years ago
In the equation x=−3y, what is the unit rate?
Paul [167]
The unit rate is -1/3.

In direct variation, y varies directly to x by a constant ratio k.

Its equation looks like this: y = kx ; where k stands for the constant ratio.

In the above equation. x = -3y, it should be converted to the proper equation. both sides must be transferred and its accompanying sign must be changed.

3y = -x
3y/3 = -x/3
y = (-1/3)x
where: y is the total value; -1/3 is the unit rate; and x is the number of units


 
6 0
3 years ago
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