It will take 6 years for the trees to have same height.
Step-by-step explanation:
Type A tree;
Initial height = 9 feet
We will convert feet into inches because growth is in inches.
1 feet = 12 inches
9 feet = 12*9 = 108 inches
Growth rate = 6 inches per year
Let,
x be the number of years.
A(x) = 108 + 6x
Type B;
Initial height = 4 feet = 4*12 = 48 inches
Growth rate = 16 inches per year
B(x) = 48 + 16x
The height will be same, when functions are equal
A(x) = B(x)
Dividing both sides by 6
It will take 6 years for the trees to have same height.
Keywords: function, division
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Answer:
a. 60 centimeters
b. 67 centimeters
Step-by-step explanation:
a.
12 × 4 = 48
(6 × 4) ÷ 2 = 12
48 + 12 = 60
b.
7 × 10 = 70
(2 × 3) ÷ 2 = 3
70 - 3 = 67
Answer: if we divide the numerator and denominator by two, we get that he can paint two paintings in one hour. His unit rate is 2:1.
4:2 divide by two to make the denominator 1
2:1 solution has 1 in the denominator
Step-by-step explanation:
Answer:
-6 because I did it on my calculator
The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism.
120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus,
a = 240 / ( c x h)
If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2
We use the volume formula again and substitute the given values to find the new volume,
V = 1/2 x a/2 x c/2 x h/2
Substitute the previously determined a term,
V = 1/2 x (240/2ch) x c/2 x h/2
We cancel and evaluate the constants therefore the new volume is,
V= 15 cm^3
