Answer:
Step-by-step explanation
Hi there,
We know she gets 1 nickel for every can, and 1 nickel is just 5 cents. So we first get this set up:
Now, we also know she gets 85 cents for a certain amount of cans, x:
Now, we can just use the proportionality we designed above, but flip it so <em>cans</em> cancel out:
Thus, Talia recycles 17 cans.
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Answer:
(-7x - 3) • (2x + 3)
Step-by-step explanation:
Refer to attachment for your answer
Answer:
5 + sqrt(65), 5 - sqrt(65)
Step-by-step explanation:
x + y = 10
x×y = -40
so, two equations with 2 variables. using one equation to express one variable by the second. and then using the second equation to solve and calculate the second variable. and then by knowing the second variable we calculate the first.
=> x = 10 - y
=> (10-y)×y = -40
=> -1×(10-y)×y = 40
=> (y-10)×y = 40
=> y^2 - 10×y - 40 = 0
remember the solution for a quadratic equation
a×x^2 + b×x + c
is
x = (-b ± sqrt(b^2 - 4×a×c)/(2×a)
in our case
a = 1
b = -10
c = -40
and we used "y".
so,
y = (--10 ± sqrt((-10)^2 - 4×1×(-40))/(2×1) =
= (10 ± sqrt(100 + 160))/2 = (10 ± sqrt(260))/2 =
= (10 ± sqrt (4×65))/2 = 10/2 ± 2×sqrt(65)/2 =
= 5 ± sqrt(65)
=>
for y = 5 + sqrt(65), x = 10 - 5 - sqrt(65) = 5 - sqrt(65)
for y = 5 - sqrt(65), x = 10 - 5 + sqrt(65) = 5 + sqrt(65)
Note: 6 employees means half of the employees contributed $7.75 each.
6 x $7.75 = $46.50.
To find how much money remains to be collected, subtract $46.50 from $100.
So, $100 - $46.50 = $53.50 is the answer.
