Answer:
see the explanation
Step-by-step explanation:
step 1
Convert feet to inches
we know that
To convert feet to inches, multiply by 12
so
step 2
Convert inches to centimeters
we know that
To convert inches to centimeters multiply by 2.54
so
therefore
Chester should have multiplied the measurement in inches by 2.54 instead of dividing by 2.54
Plug in 6 for x
2^2 - 7(6) - 6
4 - 42 - 6 = -44
Two workers finished a job in 7.5 days.
How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?
let t = time required by one worker to complete the job alone
then
(t+8) = time required by the other worker (shirker)
let the completed job = 1
A typical shared work equation
7.5%2Ft + 7.5%2F%28%28t%2B8%29%29 = 1
multiply by t(t+8), cancel the denominators, and you have
7.5(t+8) + 7.5t = t(t+8)
7.5t + 60 + 7.5t = t^2 + 8t
15t + 60 = t^2 + 8t
form a quadratic equation on the right
0 = t^2 + 8t - 15t - 60
t^2 - 7t - 60 = 0
Factor easily to
(t-12) (t+5) = 0
the positive solution is all we want here
t = 12 days, the first guy working alone
then
the shirker would struggle thru the job in 20 days.
Answer:
Step-by-step explanation:
Step 1: Put this into an equation
Step 2: Solve for x
Therefore you need to subtract from 
to get 
For each t-shirt sold, which I'll call <em>t</em>, 8th grade makes $15.
For each hat sold, which I'll call <em>h,</em> 8th grades makes $5.
They want to raise $900
A: The equation to represent this situation is 15t+5h=900 because if 8th grade adds up all the profits from both hats and t-shirts, the goal is to make $900, so the total profit from shirts and hats should equal 900 dollars.
B: I'm just going to choose random numbers. Let's say nobody wanted to buy a hat from the 8th graders (h=0). You'd end up with
15t+5(0)=900
15t=900
t=60 - If they sold 0 hats they would have sold 60 shirts to raise $900
Now let's say it was the other way around - nobody wanted to buy t-shirts
15(0)=5h=900
5h=900
h=180 - If they sold 0 t-shirts they'd have to sell 180 hats to raise $900
Finally let's say they sold 30 t-shirts
15(30)+5h=900
450+5h=900
5h=450
h=90 - They'd have to sell 30 t-shirts and 90 hats to raise $900
