<em>764 in. </em>
<u>Here's why: </u>
There are 12 inches in a foot.
12*63=756
<em>Don't forget to add the extra 8 inches!</em>
756+8=764
Answer:
The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.
Step-by-step explanation:
11. The two angles are vertical angles, which mean they are equal to each other.
14x - 5 = 13x
Add 5 to both sides:
14x = 13x + 5
Subtract 13x from both sides:
x = 5
12. The two angles are supplementary and when added together need to equal 180 degrees.
5x -20 + 3x = 180
Combine like terms:
8x -20 = 180
Add 20 to both sides:
8x = 200
Divide both sides by 8:
x = 200 /8
x = 25
Answer:
Student B is correct
Student A failed to distribute -4 and -6 when opening the brackets in the first step
Step-by-step explanation:
The solution Student A gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x + 6 = -12x + 1 - 4
-10x + 6 = -12x - 3
2x = -9
x = -4 _1 2 ( -4 1/2)
The solution Student B gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x - 24 = -12x - 6 - 4
-10x - 24 = -12x - 10
2x = 14
x = 7
Student B is correct.
Explanation of the error:
Student A failed to distribute -4 and -6 when opening the brackets in the first step.
That is,
2x - 4(3x + 6) = -6(2x + 1) - 4
To open this bracket, we will distribute, -4 and -6 so that we get
2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4
Then we will get
2x -12x -24 = -12x -6 -4
Adding the like terms
-10x - 24 = -12x - 10
Collecting like terms
-10x + 12x = -10 + 24
∴ 2x = 14
x = 14 / 2
Hence,
x = 7
Answer:
$1.25
Step-by-step explanation:
$2.50 / 2 = $1.25 per liter
