Answer:
Step-by-step explanation:
Michael is using a number line to evaluate the expression -8 - 3. After locating -8 on the number line , Michael could rewrite the expression as -8 + -3 and move 3 spaces to the left.
Answer:
The number of boys who play tennis is 36.
Step-by-step explanation:
Let the number of boys who play tennis is x.
number of boys who play cricket = y
x = 3 y..... (1)
12 boys plays both cricket and tennis.
According to the question,
x - 12 = y + 1 2
3 y - 12 = y + 12
2 y = 24
y = 12
So, the number of boys who plays tennis is x = 3 x 12 = 36.
Women can be seated in 89 ways.
Let Sn be the number of possible seating arrangements with n women. Consider n≥3 and focus on the rightmost woman. If she goes back to her seat, then there are Sn−1 ways to seat the remaining n−1 women. If he is sitting in the penultimate seat, then the woman who was sitting there before must now sit in the rightmost seat.
This gives us Sn−2 ways to seat another n−2 woman, so we get the recursion Sn=Sn−1+Sn−2. Starting with S1=1 and S2=2 we can calculate S10=89.
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9240ft per second
(105mi/1hr * 5280ft/1mi * 1hr/60sec)
Answer:
Step-by-step explanation:f
(
x
)
=
2
x
g
(
x
)
=
x
+
5
Set up the composite result function.
f
(
g
(
x
)
)
Evaluate
f
(
g
(
x
)
)
by substituting in the value of
g
into
f
.
f
(
x
+
5
)
=
2
(
x
+
5
)
Apply the distributive property.
f
(
x
+
5
)
=
2
x
+
2
⋅
5
Multiply
2
by
5
.
f
(
x
+
5
)
=
2
x
+
10
