This is a step function because it increases in "steps". The wage stays constant for a 4 year period, then jumps by $2 instead of a steady increase.
Answer
W=7
Explanation:
The formula for the perimeter for a rectangle is P = 2L + 2W
The formula for the area of a rectangle is A = LW
where L = length and W = width
P = 22 and A = 28
22 = 2L + 2W
28 = LW
Rewriting the 2nd equation L = 28/W
Substituting this into the first equation
22=2(28/W) + 2W
Reworking the equation to eliminate the denominator
22W = 2(28) + 2W2
22W = 56 + 2W2
and
2W2 - 22W + 56 = 0
Dividing by 2
W2 - 11W + 28 = 0
(W-7)(W-4)
Set each factor equal to 0 and solve each for 0
W = 4, W = 7
then W = 4
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There are 3 × 4 = 12 pieces total
14 × 1/4 = 3.5 pizzas needed
not enough, you need two more slices
Answer:
252 children and 395 adults
Step-by-step explanation:
Make a linear system of equations, where x represents the number of children and y represents the number of adults
x+y=648
1.50x+2.25y=1269
solve using substitution, so y=648-x,
then substitute this into the second equation, so you get 1.50x+2.25(648-x)=1269,
solve for x and you will get x equals the 252
then substitute this into the first equation, so you get 252+y=648
solve and you will get y=395