Answer:
a = 4
Step-by-step explanation:
a+8 = 12
a= 12-8
a=4
Answer:
1. 20 min and 15 sec
2. 4 min and 30 sec
3. y=80x-20
4. the second one
Step-by-step explanation:
1. in 2 min you have 25 g
in 15 sec you loose 2.5 g
2. in 4 min you have 5 g
in 30 sec you loose 5 g
3. y=45x-10
y=80x-20
4. it takes 2 min and 15 sec to empty the first one and 3 min to empty the second one.
Answer:
1. So $7 per hour
For 24 hour =7×24= $168
28-24=4
4×7=28
168+28=$196
or
For 28 hour
7×28
= $196
2. 7×112
=$784
3. To find the difference subtract
784-196=$588
- 16:10
- 24:15
- 40:25
8:5 is just a simplier version of these other ratios
Answer: the speed of the boat on the lake is 9 mph
Step-by-step explanation:
Let x represent the speed of the boat on the lake or in still water.
The speed of the current in a river is 6 mph. This means that if the boat goes upstream against the speed of the current, its total speed would be (x - 6)mph. If the boat goes downstream against the speed of the current, its total speed would be (x + 6)mph.
Time = distance/ speed
Every day, his route takes him 22.5 miles each way against the current and back to his dock, and he needs to make this trip in a total of 9 hours. This means that the time taken to travel upstream is
22.5/(x - 6). The time taken to travel downstream is
22.5/(x + 6)
Since the total time is 9 hours, it means that
22.5/(x - 6) = 22.5/(x + 6)
Cross multiplying, it becomes
22.5(x + 6) + 22.5(x - 6) = 9
Multiplying through by (x + 6)(x - 6), it becomes
22.5(x - 6) + 22.5(x + 6) = 9[(x + 6)(x - 6)]
22.5x - 135 + 22.5x + 135 = 9(x² - 6x + 6x - 36)
22.5x + 22.5x = 9x² - 324
9x² - 45x - 324 = 0
Dividing through by 9, it becomes
x² - 5x - 36 = 0
x² + 4x - 9x - 36 = 0
x(x + 4) - 9(x + 4) = 0
x - 9 = 0 or x + 4 = 0
x = 9 or x = - 4
Since the speed cannot be negative, then x = 9
