Answer:
x = 14
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Multiply -2 to both sides of the equation:
-2 * (-1/2x) = -2 * -7
x = -2 * -7
x = 14
Note that when you multiply two negative numbers, the answer will be positive.
14 is your answer for x.
~
The distance from the center of the shape to the center of each side is 10.4 inches and the length of each side is 12 inches. A hexagon labeled ABCDEF is shown will all 6 sides equal in length. ED is labeled as 12 inches. A perpendicular is drawn from the center of the hexagon to the side ED. This perpendicular is labeled as 10.4 inches.
Answer:
See below
Step-by-step explanation:
P stands for probability that ( what ever is in the parentheses)
Total Number of Items In Box 1: 3+5= 8
P(picking a plain pencil given you are in box 1)= 3/8
Total Number of Items in Box 2: 9+3= 12
P(picking a color pencil given you are in box 2)= 9/12= 3/4
Answer:
$ 1.2 and $ 0.7
Step-by-step explanation:
In this case we can solve it by means of a 2x2 system of equations, like this:
Let x is the value of clif bars
let y is the value of an apple
Thus:
4 * x + 2 * y = 6.2
5 * x + 3 * y = 8.1 => x = (8.1 - 3 * y) / 5
replacing, we are left with:
4 * ((8.1 - 3 * y) / 5) + 2 * y = 6.2
6.48 - 2.4 * y + 2 * y = 6.2
2.4 * y - 2 * y = 6.48 - 6.2
0.4 * y = 0.28
y = 0.28 / 0.4
y = 0.7
Now to calculate x:
x = (8.1 - 3 * 0.7) / 5
x = 1.2
So the value of clif bars is $ 1.2 and the value of an apple is $ 0.7