Answer:
$15
Step-by-step explanation:
let the hourly rate of pay for Ben = B
let the hourly rate of pay for Judy = J
Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75;
4J + B = 75 ----- i
Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120
2J + 6B = 120 --- ii
Now, we should solve the expression;
Multiply equation ii by 2 and equation i by 1;
4J + B = 75 ----- i x 1 ; 4J + B = 75 -- iii
2J + 6B = 120 --- ii x 2 ; 4J + 12B = 240 ---iv
Now,
equation iv - iii;
11B = 165
B = $15
So, solving for J;
4J + B = 75
4J + 15 = 75
4J = 75 - 15 = 60
J = $15
Answer:
3.07
Step-by-step explanation:
(86.0/(4.0+24.0))
Answer:
-30
Step-by-step explanation:
f(x) = 3 so f(-8) = 3;
g(x) = 5x + 7, so g(-8) = 5(-8) + 7 = -33
Then (f + g)(-8) = 3 - 33 = -30
This is the sum of two functions both evaluated at x = -8.
B, x=12 because 140-80=60, 60/5=12
Hey there!
When we're adding with different denominators, our goal is to keep the equivalent fraction, but create like denominators.
Let's think of an easier situation. If we have the number 5 and we want an equivalent number, we multiply by one. It's no different with fractions. We want to multiply by some version of one, like 2/2 or 4/4
For example, if we have:
2/8 + 4/6
Our LCM is 24. Therefore, we multiply 2/8 by 3/3:
2/8(3/3) = 6/24
And 4/6 by 4/4:
4/6(4/4) = 16/24
As you can see, we multiplied by versions of 1, so they're still the same fraction.
We have:
16/24 + 6/24 = 22/24 = 11/12
Hope this helps!
