Answer:
x = 1
Step-by-step explanation:
Since it says quotient, that shows that 8 will be the answer of a division problem.
"4 more than x" means that it is x+4.
From there we can write out our equation: 40 / (x +4) = 8.
We want to get rid of that fraction, so we multiply by (x+4) on both sides which will result in:
40 = 8x + 32
Then, we subtract 32 from both sides:
8 = 8x
Finally, to get x, we divide 8 from both sides:
x = 1
9514 1404 393
Answer:
A ≈ 65.4°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the trig relations associated with pairs of sides. For angle A, given sides b and c are the adjacent side and the hypotenuse, respectively. The appropriate relation is ...
Cos = Adjacent/Hypotenuse
cos(A) = b/c
A = arccos(b/c) = arccos(2.5/6)
A ≈ 65.4°
Hey there!
For Part A, all you need to do is write out an equation for how many dollars Andrew would make for x hours during regular hours (not overtime). Since he makes 6 dollars per hour, this will be 6x.
W = 6x
For Part B, create a similar equation for overtime hours. Overtime hours only apply after Andrew has worked 40 hours, so plug that into your first equation and add that to the second equation.
W = 6x
W = 6(40)
W = 240
S = 240 + 9y
For Part C, consider what we now know. If Andrew earns any money over 240 dollars (which is how much he earns after 40 hours), we know he worked overtime. So, we can just plug 330 into the second equation for S and solve for the number of additional hours he worked, y.
330 = 240 + 9y
– 240 – 240
<u>90</u> = <u>9y</u>
9 9
10 = y
Now, we can add up the initial 40 hours plus the additional 10 hours, which is 50 hours total.
Hope this helped you out! :-)