Answer:
x=9
Step-by-step explanation:
Cross multiply
Transfer and isolate
Note: in the 2nd eqn we are given a formula for x: x = 2y-15. Sub this result into the first eqn; doing so will eliminate x:
-5(2y-15)+4y =3
-10y + 75 + 4y = 3, so -6y = -72. Then y = 12. Solution is (9,12).
Check this by subst.:
Is -5(9)+4(12) = 3?
Is -45 + 48 = 3? YES.
11.2 ft
If it is a ratio just find what the scale number is by doing 14/40 = .35
Then .35 * 32 = 11.2
Answer:
<h2>18 hours</h2>
Step-by-step explanation:
This problem is on Combined work rate
Step one:
given data
let the secretary take x hours to finish one job
so the clerical worker will take 2x hours to finish one job.
Both of them working together will take 6 hours
Step two:
The combined work formula is
T/A+T/B=1
Where T= time working together
A= time the Clerical worker spent alone
B= time the secretary spent alone
substituting we have
6/2x+6/x=1
solve for x
6+12/2x=1
18/2x=1
9/x=1
cross multiply
x=9 hours
the clerical worker take 2x hours
2*9= 18 hours
