Answer:
156
Step-by-step explanation:
Answer:The final solution is all the values that make
x
(
x
−
16
)
=
0
true.
explanation:
Factor x out of
x
^2
−
16
x
.
Factor x out of x
2
.
x
⋅
x
−
16
x
=
0
Factor x out of
−
16
x
.
x
⋅
x
+
x
⋅
−
16
=
0
Factor x out of x
⋅
x
+
x
⋅
−
16
.
x
(
x
−
16
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to 0
x
=
0
x
−
16
=
0
Set the first factor equal to 0
.
x
=
0
Set the next factor equal to 0
and solve.
Set the next factor equal to 0
x
−
16
=
0
Add 16 to both sides of the equation.
x
=
16
The final solution is all the values that make
x
(
x
−
16
)
=
0
true.
x
=
0
,
16
1 * 24 = 24
2 * 12 = 24
3 * 8 = 24
4 * 6 =24
Answer:
1/15 yard.
Step-by-step explanation:
I got this by dividing the whole 2/3 of licorice with 10 pieces to get 2/30 (2/3 divided by 10, which eventually becomes 2/3 multiplied by 1/10 to equal 2/30). Then, you simplify it to 1/15. So, each piece would be 1/15 of a yard long.
Answer:
76 balls and 24 bats
Step-by-step explanation:
Set up a system of equations where x is the number of balls and y is the number of bats:
x + y = 100
4.5x + 20y = 822
Solve by elimination by multiplying the top equation by -20, then combine the equations together:
-20x - 20y = -2000
4.5x + 20y = 822
-15.5x = -1178
x = 76
Then, plug in 76 as x in the first equation to solve for y:
x + y = 100
76 + y = 100
y = 24
So, 76 balls and 24 bats were purchased.
