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likoan [24]
3 years ago
13

A gardener is planting two types of trees: Type A is 5 feet tall and grows at a rate of 19 inches per year. Type B is 7 feet tal

l and grows at a rate of 16 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.
Mathematics
1 answer:
iren [92.7K]3 years ago
7 0

it will take 8 months for these trees to be same height

Further explanation:

Let x be the number of years then,

Type A is 5 feet tall and grows at a rate of 19 inches per year

The expression for Type A is:

5+19x

Type B is 7 feet tall and grows at a rate of 16 inches per year

The expression for Type B is:

7+16x

Putting both of them equal will give us the time in which both to be same height

5+19x=7+16x\\Subtracting 16x from both sides\\5+19x-16x=7+16x-16x\\5+3x=7\\Subtracting 5 from both sides\\5+3x-5=7-5\\3x=2\\x=\frac{2}{3}\\Mutiplying\ numerator\ and\ denominator\ of\ fraction\ by\ 4\\x=\frac{8}{12}

Hence, it will take 8 months for these trees to be same height

Keywords: Rate of Change, Linear Equations

Learn more about linear equations at:

  • brainly.com/question/2116906
  • brainly.com/question/2131336

#LearnwithBrainly

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What does the mean and median mean of numbers
Ede4ka [16]

Answer:

Mean is all numbers added up divided by the amount of numbers in the set.

Median is the number that occurs the most in a set.

Step-by-step explanation:

3 0
3 years ago
Helpppppppppp please
eduard

You know b=-6 and since you know this, you can plug -6 in for b.

This would become 4(-6) + 6 divided by 6.

You can then multiply 4 and -6 together,

-24 + 6 / 6

You can then add -24 and 6 together,

-18/6

You can then divide -18 by 6,

-18/6=-3

-3 is your final answer

7 0
3 years ago
Read 2 more answers
Simplify<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B3%7D%7B8%7D%20%7D%20" id="TexFormula1" title=" \sqrt{ \f
Pie

Answer:

B (√6)/4

Step-by-step explanation:

The smallest multiplier that will make the denominator of the fraction into a perfect square is 2, so you have ...

\displaystyle\sqrt{\frac{3}{8}}=\sqrt{\frac{3\cdot 2}{8\cdot 2}}\\\\=\sqrt{\frac{6}{16}}=\frac{\sqrt{6}}{\sqrt{16}}\\\\=\frac{\sqrt{6}}{4}

_____

Answer choice D is also a correct rationalization of the denominator, but is not simplified as far as it can be. √24 = 2√6, so a factor of 2 can be cancelled from numerator and denominator, giving answer choice B.

3 0
3 years ago
Does anyone know the answer?
motikmotik

Answer:

We conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.          

Step-by-step explanation:

From the given right-angled triangle,

  • Base = p+1
  • Perpendicular = 2p-6

Using the formula to determine the area of the right-angled triangle

Area of the right triangle A = 1/2 × Base × Perpendicular

                                            =\frac{1}{2}\left(p+1\right)\left(2p-6\right)

Factor 2p-6: 2(p-3)

                                             =\frac{\left(p+1\right)\times \:2\left(p-3\right)}{2}  

Divide the number: 2/2 = 1

                                              =\left(p+1\right)\left(p-3\right)

\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd

                                               =pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)

                                               =pp-3p+1\cdot \:p-1\cdot \:3

                                                =p^2-2p-3

Therefore, we conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.                                        

3 0
2 years ago
Miss Kirkland Works 40 hours on Mondays in 8 hours on Tuesdays in the school library during one week in May she worked 1/4 of he
Rashid [163]

Answer:

She worked 12 hours for the week

Step-by-step explanation:

Given that :

Hours worked :

Mondays = 40 hours

Tuesdays = 8 hours

If 1/4 of regular hours was worked in a certain week, the number of hours worked that week can be calculated thus ;

1/4 (Monday hours + Tuesday hours)

1/4(40 + 8)

(1/4 * 40) + (1/4 * 8)

10 + 2

= 12 hours

8 0
2 years ago
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