A pair of dice is loaded. The probability that a 4 appears on the first die is 2/7, and the probability that a 3 appears on the
1 answer:
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Constraint 1:
Let the total number of running shoes be = R
Let the total number of leather boots be = L
As the given number of total shoes are 48,
The equations becomes,
R + L = 48............(1)
Constraint 2:
As running shoes are twice the leather boots, equation becomes,
R = 2L..............(2)
Putting the value of R from equation(2) in equation (1)
Now putting the value of L in equation(2)
R= 2L
R =
R=32
Hence, Amanda needs 16 pairs of leather boots and 32 pairs of running shoes.
ANSWER
The correct option is,
EXPLANATION
We were given that the solutions of the quadratic equation are
and
This tells us that,
and
are factors of the quadratic equation.
This implies that the quadratic equation is of the form,
We were also told that
is a non zero constant.
This means that we can use k to multiply the whole equation and the solution will not be affected.
Our equation now becomes,
Hence the correct answer is A.
The correct option is,
EXPLANATION
We were given that the solutions of the quadratic equation are
and
This tells us that,
and
are factors of the quadratic equation.
This implies that the quadratic equation is of the form,
We were also told that
is a non zero constant.
This means that we can use k to multiply the whole equation and the solution will not be affected.
Our equation now becomes,
Hence the correct answer is A.
Answer:
Step-by-step explanation:
The volume V of the fountain is equal to:
V = L*W*h
Where L is the lenght of the fountain, W is the width of the fountain and h is the high of the fountain
We already know that h is equal to x. On the other hand, if we cut a square with side of length x, L and W are calculated as:
L = 18 - 2x
W = 12 - 2x
So, replacing L, W and h on the equation of the volume, we get:
V = (18-2x)*(12-2x)*x
Finally, simplifying the function we get: