Let the number be x.
8 - x = x -34
2x = 8 + 34
2x = 42
x = 21
Answer: The number is 21.
90 < 0.60m + 75
90 - 75 < 0.60m
15 < 0.60m
15/0.60 < m
25 < m.....company A charges less at 24 miles or less
Answer:
186 cm²
Step-by-step explanation:
<em>*First we can move the shape around a bit to make it simpler to solve. If we take the triangle from the left side and move it over to the right, it connects with the other piece to create a rectangle. This leave two rectangles total which is much easier to solve.</em>
<em>*To find the length of the right rectangle, you take the 22 cm at the bottom and subtract the 12 cm (which is being used as the length for the left rectangle). This will give you a length of 10 cm long.</em>
<u>Left rectangle:</u>
A = lh
A = 12 (8)
A = 96 cm²
<u>Right rectangle:</u>
A = lh
A = 10 (9)
A = 90 cm²
<u>Total:</u>
A = 90 + 96
A = 186 cm²
Answer:
x=0, y=-2
Step-by-step explanation:
Because 9y appears twice in both equations, you can subtract the equations to eliminate the y variable so you can solve for x:
-7x + 9y = -18
-(4x + 9y = -18)
__________
-11x = 0
x = 0
Since we know x=0, then we plug it back into one of the equations to get the value of y:
-7x + 9y = -18
-7(0) + 9y = -18
0 + 9y = -18
9y = -18
y = -2
Therefore, x=0, and y=-2
Answer:
Step-by-step explanation:
This is an exponential equation that is solved by taking the natural log of both sides. The equation is
If we are looking for x when f(x) = 64, then
Take the natural log of both sides:
The rules of logs allows us to bring the x down in front:
Divide both sides by ln(2) to get:
Do this on your calculator to get that x = 6.
You could also have just gone right to your calculator and started raising 2 to consecutive powers starting at like 3 or 4 to eventually get that 2 to the 6th power is equal to 64, but for the basics of solving log equations, you need to know how to do this.
