Answer:
(D) 21
Explanation:
3(2x−1)−10=8+5x
Step 1: Simplify both sides of the equation.
3(2x−1)−10=8+5x
(3)(2x)+(3)(−1)+−10=8+5x(Distribute)
6x+−3+−10=8+5x
(6x)+(−3+−10)=5x+8(Combine Like Terms)
6x+−13=5x+8
6x−13=5x+8
Step 2: Subtract 5x from both sides.
6x−13−5x=5x+8−5x
x−13=8
Step 3: Add 13 to both sides.
x−13+13=8+13
x=21
Answer:
Step-by-step explanation:
you would multiply by 3 on both sides to get the division to go away.
then subtract 8 from both sides.
then you have your answer
There is a video on khanacademy, search "rationalize the denominator." Then instead of getting the answer you will learn how to do it and be able to do it on other problems in the future.
Answer:
The margin of error for the 99% confidence level for this sample is ±2.23.
None of the given figures is close to the answer:
E. None of the above
Step-by-step explanation:
margin of error (ME) around the mean can be calculated using the formula
ME=
where
- z is the corresponding statistic of the 99% confidence level (2.576)
- s is the population IQ standard deviation (15)
- N is the sample size (300)
Using these numbers we get:
ME=
≈ 2.23
Answer:
The answer to the question: "Will Hank have the pool drained in time?" is:
- <u>Yes, Hank will have the pool drained in time</u>.
Step-by-step explanation:
To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:
- Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")
- Available time = 360 minutes
Now we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:
- Volume of the pool = Deep * Long * Wide
- Volume of the pool = 2 m * 10 m * 8 m
- Volume of the pool = 160 m^3
Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:
Now, we use a rule of three:
If:
- 1 m^3 ⇒ 264.172 gal
- 160 m^3 ⇒ x
And we calculate:
(We cancel the unit "m^3)- x = 42267.52 gal
At last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:
- Time to drain the pool =
(We cancel the unit "gallon") - Time to drain the pool = 325.1347692 minutes
- <u>Time to drain the pool ≅ 326 minutes</u> (I approximate to the next number because I want to assure the pool is drained in that time)
As we know, <u><em>Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes</em></u>.