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Answer:
y
=
−
1
3
(
x
+
3
)
Step-by-step explanation:
The point-slope form of a linear equation is:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
(
x
1
,
y
1
)
is a point on the line and
m
is the slope.
Substituting the values from the point in the problem and the slope provided in the problem gives:
Add the number of boys that prefer to play inside and the number that prefer to play outside and then divide the ones that prefer inside by the total. The answer is 43.4 percent
Answer:
296 cubic feet
Step-by-step explanation:
First and foremost, you have to have everything in either feet or inches. Right now they are in both. Since the answer is asked for in feet, let's convert everything to feet. The width is already in feet, so that's good.
However, even though the length is 49 feet, we still have to convert the 4 inches part of that to feet. Using the fact that there are 12 inches in a foot:
so we have
Convert that to improper to make the multiplication easier in the end:
Now we have to convert the 8 inches to feet using the same reasoning:
Now everything is in terms of feet. The volume is found by multiplying length times width times height:
Divide that and it comes out to an even 296 cubic feet
Answer:
m = {-6, -4}
Step-by-step explanation:
<u><em>Subproblem 1:</em></u>
Set the factor '(6 + m)' equal to zero and attempt to solve:
Simplifying
6 + m = 0
Solving
6 + m = 0
Move all terms containing m to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + m = 0 + -6
Combine like terms: 6 + -6 = 0
0 + m = 0 + -6
m = 0 + -6
Combine like terms: 0 + -6 = -6
m = -6
Simplifying
m = -6
<u><em>Subproblem 2:</em></u>
Set the factor '(4 + m)' equal to zero and attempt to solve:
Simplifying
4 + m = 0
Solving
4 + m = 0
Move all terms containing m to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + m = 0 + -4
Combine like terms: 4 + -4 = 0
0 + m = 0 + -4
m = 0 + -4
Combine like terms: 0 + -4 = -4
m = -4
Simplifying
m = -4
