We start at 62 Fahrenheit. And every hour we drop two degrees. We want to know how long it took for the temperature to drop to 40 Fahrenheit.
If one hour passed, then the temperature dropped two degrees.
If two hours passed, then the temperature dropped 4 degrees.
See the pattern? We can define this as 2h. Where h represents time in hours.
We subtract 2h from 62.
We can write this as a function. F(h) = 62 - 2h.
Where F is the temperature in Fahrenheit. And h is the hour(s).
Now that we have the formula, let's plug in the value 40 Fahrenheit to see how long it took for the temperature to drop to 40 degrees.
40 = 62 - 2h
Subtract 62 from each side
-22 = -2h
Divide both sides by 2
h = 11
So, it took 11 hours for the temperature to drop to 40 Fahrenheit.
Answer:
a
when you round the number up it becomes 300,000.00
You will use the ratio 4:8 to create a part to part to whole ratio.
First simplify 4:8 to 1:2, then make it 1:2:3 (Salt:Sugar:Total).
Use this to find the volume of sugar. 2 sugars for every 3 total would be equivalent to 200 cubic feet of sugar for every 300 total cubic feet.
Answer:
x = - 6 or x = 2
Step-by-step explanation:
The absolute value function always returns a positive value. However, the expression inside can be positive or negative.
Given
| 2x + 4 | - 1 = 7 ( add 1 to both sides )
| 2x + 4 | = 8, thus
2x + 4 = 8 ( subtract 4 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
OR
-(2x + 4) = 8
- 2x - 4 = 8 ( add 4 to both sides )
- 2x = 12 ( divide both sides by - 2 )
x = - 6
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True
x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True
Hence the solutions are x = - 6 or x = 2
Answer:
D) 0.1250
Step-by-step explanation:
Let P(J) = Probability of John to purchase 0 books
Let P(B) = Probability of Beth to purchase 0 books
P(J∩B) = Probability that both john and Beth will purchase 0 books .ie. a total of 0 books is purchased.
Since the decisions to purchase books are two independents events,
P(J∩B) = P(J) * P(B)
P(J) = 0.5
P(B) = 0.25
P(J∩B) = 0.5 * 0.25
P(J∩B) = 0.125
