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A gardener is planting two types of trees: Type A is 7 feet tall and grows at a rate of 10 inches per year. Type B is 4 feet tal

trasher [3.6K]

Answer:

9 years

Step-by-step explanation:

Let the the number of years in which height of both the type of tree is same be n years

Initial length of type A tree = 7 feet

As rate of growth is given in inches to maintain uniformity of measuring unit lets convert feet to inches

1 feet = 12 inches

thus 7 feet = 12*7 inches = 84 inches.

length of type A tree in inches = 84 inches

Rate of growth of type A tree = 10 inches per year

Thus, actual growth of type a tree in "n" years = 10*n = 10n

Total height of type A tree in n years = initial length + growth in n years

= 84 inches+ 10n inches (1)

____________________________________________________

For type B

Initial length of type B tree = 4 feet

As rate of growth is given in inches to maintain uniformity of measuring unit lets convert feet to inches

1 feet = 12 inches

thus 4 feet = 12*4 inches = 48 inches.

length of type B tree in inches = 48 inches

Rate of growth of type A tree = 14 inches per year

Thus, actual growth of type a tree in "n" years = 14*n = 14n

Total height of type b tree in n years = initial length + growth in n years

= 48 inches+ 14n inches (2)

_________________________________

Given condition that after n years height of both the type of tree is same

equation 1 should be equal to equation 2

84 inches+ 10n inches = 48 inches+ 14n inches

=>84 inches - 48 inches = 14n inches - 10n inches

=> 36 inches = 4n inches

=> 36 = 4n

=> n = 36/4 = 9

Thus, after 9 years both of their height will be same which be equal to

84+10*9 = 84 + 90 = 174 inches.

5 0

3 years ago

Can someone help me with this question pleasee asapp

prohojiy [21]

Answer:

97.34

Step-by-step explanation:

C = 3.14xd

97.34 = 3.14(31)

6 0

3 years ago

At the pet store 25 bunnies were examined and 7 of them had blue eyes.

expeople1 [14]

Given

$\begin{gathered} 25\text{ }bunnies=7blue\text{ }eyes \\ 60\text{ }bunnies=xblue\text{ }eyes \\ \\ x=\frac{60\times7}{25} \\ \\ x=16.8 \\ \\ x\approx17 \end{gathered}$

The final answer is 17 bunnies

5 0

1 year ago

The Perimeter of the quadrilateral is 30 centimeters. Find the length of each side. The sides are: x+5, x+3, 2x-2, x^2-2x

Nitella [24]

Answer:

9 cm, 7 cm, 6 cm and 8 cm

Step-by-step explanation:

The perimeter is the sum of all the sides.

4 sides' expressions are given, so we add them and equate to 30.

$x+5+x+3+2x-2+x^2-2x=30\\x^2+2x+6=30\\x^2+2x+6-30=0\\x^2+2x-24=0\\(x+6)(x-4)=0\\x=-6,4$

Note: we disregard the value of x = -6, because it is going to give us side with negative length, that can't happen!

So, we take x = 4

Hence, length of each side is:

x + 5 = 4 + 5 = 9 cm

x + 3 = 4 + 3 = 7 cm

2x -2 = 2(4) - 2 = 8 - 2 = 6 cm

x^2 - 2x = (4)^2 - 2(4) = 16 - 8 = 8 cm

These are the lengths of 4 sides: 9 cm, 7 cm, 6 cm and 8 cm.

7 0

3 years ago

‼️‼️solve each system of equations by graphing. describe as consistent, independent, inconsistent etc. #1-8 & #10-12. please

Harlamova29_29 [7]

Answer:

# 1. Answer: (x,y) = (3,5) #2. Answer: (x,y) = (2,7)

#3 Answer: (x,y) = (3,-3) #4 Answer: (x,y) = (-4, -5)

#5 Answer: (x,y) = (6,7) #6 Answer: (x,y) = (-2, -1)

#7 Answer: (x,y) = (-4, -5) #8 Answer: (x,y) = (6,-2)

#10 (x,y) = (x,y) ∈∅

#11 (x,y) = (- $\frac{9}{2}$ - $\frac{3}{2}$ y, y), y ∈ R

#12 (x,y) = $\frac{35}{23}$ , $\frac{31}{23}$

Step-by-step explanation:

Not writing out all these solutions. I suggest you download the app. Photomath it goes over the explanation too.

4 0

3 years ago