Solve simultaneously.
4x - y = 8
6x + y = 2
Multiply top equation by 6, and bottom equation by 4, to eliminate x, so that we can find y.
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24x - 6y = 48
24x - 4y = 8
Subtract top from bottom to form one equation.
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-2y = 40
Therefore y is 20.
Put y back in to an equation, such as 4x - y = 8.
~
4x - 20 = 8
4x = 28
x = 7
Remark
Make up a proportion that relates the tree and its properties to the stick and its properties.
Givens
Stick height (s_h) = 4
Stick shadow(s_s) = 2
Tree shadow = t_s = 18
Tree height = x
Formula
s_h / s_s = x / t_s
Substitute and solve.
4/2 = x / 18 Cross multiply
4*18 = 2 * x
72 = 2x Divide by 2
72/2 = x
x = 36
The height of the tree is 36 feet.
Answer:
5 rooms
Step-by-step explanation:
4 rooms = 9 hours
9 hours = 540 minutes
1 room = 540 ÷ 4 = 135 minutes
60 x 12 = 720 minutes (12 hours)
720 ÷ 135 = 5.33333
5.3333 estimated to nearest whole number = 5
Answer:
8275382+9162672(7263382) 615-41+8162(71818)