Answer: 
Step-by-step explanation:
To solve for h, we want to get h alone. We need to use our algebraic properties.
[multiply both sides by 2]
[divide both sides by (a+b)]
Now that we have h alone, we know that .
Answer: 66
Step-by-step explanation: 180- 83 - 31
9514 1404 393
Answer:
- y -3 = 5(x -1)
- y +1 = -3(x +2)
- y +7 = -1/4(x -4)
Step-by-step explanation:
When you are given a point and a slope, and asked for the equation in point-slope form, it is simply a matter of putting the given numbers into the appropriate places in the equation template.
y -k = m(x -h) . . . . . . point (h, k), slope m
__
1. y -3 = 5(x -1) . . . . . . point (1, 3), slope 5
2. y +1 = -3(x +2) . . . . point (-2, -1), slope -3
note that for k=-1, -k = -(-1) = +1; similarly the value of -h becomes +2
3. y +7 = -1/4(x -4) . . . point (4, -7), slope -1/4
Well, the place is charging him 115/hr
and he's booked it for 6hrs
how much is going to be his cost? well
now, there will be 14 teams playing, so... if we divide 690 evenly among the 14 teams, that means each team will need to pay 690/14 about 49.28571 or 49 bucks and 29 cents about
now, if each team pays that much, they'll cover 690, so Dylan has his cost covered, however, for a profit, a profit is surplus, so, in order to make surplus income, or profit, he'll need to charge "more than" 49.29
or he needs to charge "x", whilst x > 49.29
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.
