Answer:
2
Step-by-step explanation:
Obtain the greatest common factor of both 12 and 10
Factors of 10 = 1, 2, 5, 10
Factors of 12 = 1, 2, 3, 4, 6, 12
From the above, the greatest common factor of 10 and 12 is 2
Hence, smallest number of pencils using the boxes is 2
Answer:
hence Robert runs at a faster speed
Step-by-step explanation:
1 1/2 hours = 3/2 hours = 1.5 hours
45 min = 45/60 = 3/4 = 0.75 hours
Jacob's speed = 5 miles ÷ 1.5 hours = 3.33 miles/hr
Robert's speed = 3 miles ÷ 0.75 hours = 4 miles/hr
hence Robert runs at a faster speed
They will have to bring in more than $600,000 a month to beat their competitors.
Step-by-step explanation:
Step 1; This establishment's competitors bring in $1,800,000 per quarter. This means that they bring in that amount of money through sales in a quarter of a year.
A quarter of a year =
× 12 months = 3 months.
So the competition brings in $1,800,000 in 3 months.
Step 2; Now we calculate how much this establishment must make to beat them.
Money to brought in a month = $1,800,000 / 3= $600,000 a month. So the team must bring in more than $600,000 a month to beat their competitor's sales of $1,800,000 in a quarter.
Answer:
Answer: 14 feet. a. The Pythagorean theorem is a^2 + b^2 = c^2, where a and b are the sides of a right angle. By plugging in the sides of the wall, and solving for c, you can find the answer. 10^2 + 10^2 = c^2
| 100 + 100 = c^2 | 200 = c^2 | c = sqrt 200 | c = 14. The other way to solve this would be using the trig functions. You know that the angle between the hypotenuse and the wall side is 45 degrees, so you can use Sine to determine the hypotenuse. Sine is equal to opposite over hypotenuse. Sin (45) = 10/h | Sin (45) * h = 10 | h = 10/Sin (45) | h = 14. Both of the methods result in 14.
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Step-by-step explanation: