Area of parallelogram = base x height
area of large parallelogram
8 x 12 = 96
area of small parallelogram
4 x 6 = 24
96 - 24 = 72
the area of the shaded region is 72 m^2
Answer: No more than 8.8 pounds.
Step-by-step explanation: Let x be the weight that Lorrie can add to carry-on.
We are told that an airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality that will represent the the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit is:
Let us solve for x by subtracting 21.2 from both sides of our inequality.
We can see that the weight Lorrie can add to the carry-on should be less than or equal to 8.8 pounds without going over the 30 pound limit. Therefore, the weight that Lorrie can add to the carry-on should be no more than 8.8 pounds.
Divide the total by 3 to get the middle value:
294 /3 = 98
Now the 3 numbers are consecutive, so use the numbers on each side of 98:
Smallest = 97
middle = 98
Largest = 99
In inches it would be 63,360 in.
Answer:
x = 12
Step-by-step explanation:
Simplifying
6x + -2(-3x + -5) = 154
Reorder the terms:
6x + -2(-5 + -3x) = 154
6x + (-5 * -2 + -3x * -2) = 154
6x + (10 + 6x) = 154
Reorder the terms:
10 + 6x + 6x = 154
Combine like terms: 6x + 6x = 12x
10 + 12x = 154
Solving
10 + 12x = 154
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 12x = 154 + -10
Combine like terms: 10 + -10 = 0
0 + 12x = 154 + -10
12x = 154 + -10
Combine like terms: 154 + -10 = 144
12x = 144
Divide each side by '12'.
x = 12
Simplifying
x = 12
