Answer:
Barry had the following:
8 bananas
12 apples
20 kiwi
32 peaches
8 grapefruit
4 mangos
88 total
Step-by-step explanation:
Each of the amounts of fruit can be written in terms of one variable. Starting with bananas as 'x', we can then make different values of 'x' to produce all the other numbers of fruits:
bananas = x
apples = 2x (twice as many bananas)
kiwi = 2.5x (5/6 of applies and bananas combined = 5/6(3x) or 2.5x)
peaches = 3.5x + 4 (sum of bananas and kiwis plus four = x + 2.5x + 4)
grapefruit = x (half as many apples = 2x/2)
mango = 0.5x (20% of kiwi = (0.2)(2.5)x)
88 = x + 2x + 2.5x + 3.5x + 4 + x + 0.5x
88 = 10.5x
8 = x (bananas)
apples = 2x or 16; kiwi = 2.5x or 20, peaches = 3.5x + 4 = 32, grapefruit = x or 8, mangos = 0.5x or 4
Answer:
The answer to your question is a) C + J + S = 80
b) C = J + 5
c) S = 45 hours
Step-by-step explanation:
a) To represent the number of hours that they work together, just add the variables and equal them to 80.
Carlito + Juan + Sara = 80
C + J + S = 80 Equation l
b) Juan worked 5 hours more than Carlito
Juan = Carlito + 5
J = C + 5 Equation ll
c) Hours worked by Sara
S = 3J Equation lll
C = J - 5
Substitute equation ll and lll in equation l to find J
J - 5 + J + 3J = 80
5J = 80 - 5
5J = 75
J = 75/5
J = 15
-Find S
S = 3(15)
S = 45 hours
Answer:
1.) a. i) f(4) = 2, ii.) f(-3)= -5 b.) x = -5, x = 2, c.) choice(2) -3 < x < 5
Step-by-step explanation:
Each problem
1.) a.) i.) we see f(4) = 2 on the graph the line goes through point (4, 2)
a.) ii.) f(-3) = -5
1.) b.) There are only 2 zeros for f(x) which intersect the x-axis in only 2 points.
x = -5 and x = 2 are the only 2 zeros.
1.) c.) only for -3 < x < 5 is the function f(x) increasing.
choice (2.)
Answer:
10.68
Step-by-step explanation: