125 dollars divided by ten = 12,5
He gets paid 12,5$ for one hour
You will want to subtract the amount he ran on Monday from the amount on Tuesday. In order to subtract fractions, we must set them to the same denominator (bottom number). In order to do this, we must multiply 3/5 by 6/6 (the denominator on tuesday) which gets us 18/30. Then, for Tuesday, we must multiply 2/6 by 5/5 (the denominator on Monday) which is 10/30. Now, we can do Monday-Tuesday, 18/30-10/30 which gets us 8/30, if we simplify this, we get 4/15 :)
Answer:
{-π/2, π/2}
Step-by-step explanation:
Rewrite this as:
7sin^2 x - 14sin x + 7 = 0. Reduce this result by dividing all terms by 7:
sin^2 x - 2sin x + 1
Temporarily replace "sin x" with y:
y^2 - 2y + 1 = 0
Solve this through factoring: (y - 1)^2 = 0, or y - 1 = ± 0, or y = ±1
Recalling that y = sin x, we write
sin x = ±1, whose solutions are sin x = 1 and sin x = -1
The solution of sin x = 1 is π/2 and that of sin x = -1 is -π/2
and so the solution set is {-π/2, π/2}
Answer:
y=x+w/5
Step-by-step explanation:
x=5y-w
step 1: bring the additional letters/numbers next to the "5y" over to the left
x+w= 5y
step 2: divide the numbers and letters on both sides of the "=" by 5 to only get the letter y
x+w/5= y
step 3: swap them over
y= x+w/5
(we can't get an answer from x+w/5 because the terms are unlike, therefore we keep it as a fraction
multiply everything together
there are 26 letters and 10 digits
so 26 x 26 x 10 x 10 x 10 = 676,000 combinations
