Answer:
3.9200508e+17
Step-by-step explanation:
1. 12000(1 - n/5) = 2,400
12000 - 2400n = 2400
- 2400n + 12000 - 12000 = 2400 - 12000
- 2400 = - 9600
n = 4, After 4 years the scanner will be replaced.
2. Let x represents Michael age in years now.
Now 4years later
Michael x x + 4
John x - 17 (x - 17) + 4
x + 4 + x - 17 + 4 = 49
x + 4 + x - 13 = 49
2x - 9 = 49
2x - 9 + 9 = 49 + 9
2x = 58
(1/2)(2x) = (1/2)(58)
x = 29, Michaels age is 29
3. Brady speed 1 Rate(mph) Time(hours) Distance(miles)
17 t 17 t
Brady speed 2 22 4 - t 22(4 - t)total distance
The total distance he rode 17t + 22(4 - t) = 70
The total distance = 70 miles
showing work:
17t + 22(4 - t) = 70
17t + 88 - 22t = 70
- 5t + 88 = 70
- 5t + 88 - 88 = 70 - 88
- 5t = - 18
t = 3.6, Brady rode 17(mph) for 3.6(hrs).
4. t = the price of 1 shirt
4t - 39.58 = 52.22
4t - 39.58 = 52.22 + 39.58
4t + 0 = 91.80
(1/4)(4t) = (1/4)(91.80)
t = 22.95, price of 1 shirt was $22.95
5. Let M represent number of months.
3.5m + 90 = 132
3.5m + 90 - 90 = 132 - 90
3.5m = 42
(1/3.5)(3.5m) = (1/3.5)(42)
m = 12, the boy will grow 132cm tall, 12 months from now
6. Let N represent given number
n + 1/6n + (2 1/2)n + 7 = 12 1/2
n ( 1 + 1/6 + 5/2) + 7 = 12 1/2
n(6/6 + 1/6 + 15/6) + 7 = 12 1/2
n(22/6 + 7 - 7 = 12 1/2
11/3n + 7 - 7 = 12 1/2 - 7
11/3n + 0 = 5 1/2
11/3n = 5 1/2
3/11.11/3 = 3/11.11/2
1n = 3/2
n = 1 1/2, is the number
7. let X represents the first number, then 33 - x represents the other # since their sum is 33
X - (33 - x) = 2
X + ( - (33 - x)) = 2
X + ( -33) + X = 2
2x + (- 33) = 2
2x + (- 33) + 33 = 2 + 33
2x + 0 = 35
1/2 * 2x = 1/2 * 35
1x = 35/2
x = 17 1/2
33 - x = 33 - (17 1/2) = 15 1/2
{17 1/2, 15 1/2}
8. Let T represents number of tokens in machine A. Then 1/2T represents the number of tokens in machine B, and 3/4T represents the number of tokens in machine C.
T + 1/2T + 3/4T = 18,324
9/4T = 18, 324
T = 8, 144
Machine A took 8,144T, Machine B 4,072T, Machine C 6,108T
9. Let Z represents the cost of a pencil in dollars. Then, the cost of a pen in dollars is Z + 0.11
250(Z + Z + 0.11) = 42.5
250(2Z + 0.11) = 42.5
500Z + 27.5 = 42.5
500Z + 27.5 + ( - 27.5) = 42.5 + ( -27.5)
500Z + 0 = 15
500Z = 15
500Z/500 + 15/500
Z = $0.03, a pencil costs, and a pens cost $0.14
10. Let R represents speed in mph of faster car, Then r - 7 represents speed in mph of slow car.
5 1/2(r) + 5 1/2(r - 7) = 599.5
5 1/2(r + r - 7) = 599.5
5 1/2(2r - 7) = 599.5
11/2 (2r - 7) = 599.5
2/11 * 11/2 (2r - 7) = 2/11 * 599.5
1 * (2r - 7) = 1199/11
2r - 7 = 109
2r - 7 + 7 = 109 + 7
2r + 0 = 116
2r = 116
1/2 * 2r = 1/2 * 116
1r = 58
r =58
Faster car average speed is 58mph
Slower car average speed is 51mph
Distance = rate * time
d = 51 * 5 1/2
d = 51 * 11/2
d = 280.5
Slower car travel 280.5 miles in 5 1/2hrs
d = 58 * 5 1/2
d = 58 * 11/2
d = 319 or 599.5 - 280.5 = 319
Faster car travel 319 miles in 5 1/2 hrs
The slower car travels 280.5 miles in 5 1/2hrs. remainder of trips for both vehicle is 38.5 miles, because, 319 - 280.5 = 38.5
distance = rate * time
38.5 = 51 (t)
1/51(38.5) = 1/51(51)(t)
38.5/51 = 1t
77/102 = t, This time is in hours. To convert to minutes, multiply by 60 minutes per hour
77/102 * 60 = 77/51 * 30 = 2310/51 = 45, The slower car will arrive at about 45 minutes after the first car.
Hope this helps!!!
Next time please ask for help in chunks!! Try for yourself.. this is a lot...
Answer:
The speed from the observer is 8 mph.
Step-by-step explanation:
When the boat is going downstream with full force, its speed will be the one the oarsman can row on still water added by the flow of the river. In this case he can row the boat at speed of 3 mph, while the stream is 5 mph, so the speed from the observer standpoint is:
The speed from the observer is 8 mph.
