Answer:
150
Step-by-step explanation:
The sum of the angles of a quadrilateral are 360. Let x be the unknown angle
30+70+110+x = 360
Combine like terms
210 +x = 360
Subtract 210 from each side
210+x-210 = 360-210
x = 150
Answer:
-15
Step-by-step explanation:
start from the inside and go out.
So first plug in -3 into g(x)
g(-3) = -3 - 7 = -10
then plug in -10 into f(x)
f(-10) = 2(-10) + 5 = -15
so f(g(x)) = -15
Answer:
1000(1/20000) +
300(2/20000) +
10(20/20000) +
=
1800/20000 = .09
Step-by-step explanation:
Each ticket purchased is expected to win 9 cents
Each ticket purchased cost 75 cents
If you interpret expected winnings per ticket to include the cost then each ticket is expected to lose 66 cents.
Answer:
see below
Step-by-step explanation:
butterfly = x minutes
breast = y minutes
total is 50 minutes
breast stroke = butterfly +20
Part A
x+y = 50
y = x+20
Part B
Substitute the second equation into the first
x+ (x+20) = 50
2x+20 = 50
2x+20-20 = 50-20
2x = 30
2x/2 = 30/2
x = 15
y = x+20
y = 20+15
y = 35 minutes
35 minutes on the breast stroke
Part C
45 minutes on the butterfly is not reasonable
We only have a total of 50 minutes
50-45 = 5
But he spend more time on the breast stroke ( 20 minutes more), but if he spend 45 minutes on the butterfly, he would have to spend less on the breast stroke.
Perimeter: 2l+2w=P
Plug in: 2(35)+3(22)=P
Solve: 70+66=136
The total perimeter of his yard is 136 feet.
Half times $7.25: 136/2=68(7.25)=493
The total cost for half his yard is $493 :)
