77 days turned into weeks means that you have to divide by seven.
77/7 = 11.
It took eleven weeks to plan (Answer choice D)
So the possible numbers are multiples of 6 smaller than 24:
6
12
18
24 is not ok, since he won both kinds of trophies, so if he won 24 soccer trophies, he'd have no baseball trophies!
if he had 12 of one kind of trophies, he'd have 24-12=12 also 12 of the other trophies, and we know that he has more soccer trophies, so we reject this
so he has 6 and 18 trophies of one kind. Since he has more soccer trophies, this means that he has 18 soccer trophies and 6 baseball trophies!
There are approximately 4 weeks per month.
Mr. Gleason will take home 1100 x 4 weeks = $4,400 per month.
The total budget - his take home pay is the amount his wife will need to make:
5,600 - 4,400 = $1,200
Now divide the total amount she needs to make by how much she brings home per hour:
1,200 / 10 = 120
She needs to work 120 hours per month.
The answer is D.
Answer:
See below.
Step-by-step explanation:
The addition method is a good choice in this case since you have x in one equation and -x in the other equation, and x and -x add to zero, eliminating x.
x - 5.5y = -14
-x + 2.6y = 8.2
Add the equations. x and -x ad to zero, eliminating x. Then solve for y.
-2.9y = -5.8
Divide both sides by -2.9
y = 2
Substitute 2 for y in the first original equation, and solve for x.
x - 5.5y = -14
x - 5.5(2) = -14
x - 11 = -14
x = -3
Solution: x = -3; y = 2
Since the coefficients of y in the two original equations are not opposites, the addition method would not be the best method to use to solve for y first.
As long as you're not dealing with negative numbers, you can always split a root of a product into the product of roots.√(6) = √(2)*√(3)√(75) = √(25)*√(3)√(210) = √(2)*√(3)*√(5)*√(7)√(3xy) = √(3)*√(x)*√(y)etc.
