Let x = age of jack
Let y = age of Lacy
x=3y (Jack age is 3 times that of Lacy)
(x+y)-8 = 25
Substituting value of x:
(3y+y) -8 = 25
4y - 8 = 25
4y = 33
y = 33/4 = 8.25 or 8 years 3 months (age of Lacy)
x = 3(8.25) = 24.75 or 24 years 9 months (age of Jack)
Checking:
Substituting in equation ( x + y ) -8 = 25
24.75 + 8.25 - 8 = 25
25 = 25
Answer:
(2,3)
Step-by-step explanation:
I did this by using the equation that was given. y=x+1.
This mean that the starting point would be the coordinate (0,1) and the x is the slope, which means that from coordinate (0,1) I will go up one and one to the right until I intersected with coordinate (2,3).
Answer:
x = 9
Step-by-step explanation:
1) Subsitute! You have to replace y with 2x - 2 in 3x -y = 7, b/c they already gave you the equation for y (in the second part: y = 2x - 2)
So, your equation would look like this : 3x - (2x - 2) = 7
3) Solve suing PEMDAS!
There's a negative outside the parenthesis of 2x -2 -> - (2x-2). Multiply the negative individually inside the parenthesis so you will get (-2x + 2)
3x - 2x - 2 = 7 subtract the same variable; x
1x - 2 = 7 you don't need to put 1 to x, only if you want!
+ 2 + 2 add 2 on both sides
x = 9
Answer:
the approximate base length of the pyramid is 20.0cm
