Answer:
21n² - 28n + 7
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
3n(7n - 7) - 1(7n - 7) ← distribute both parenthesis
= 21n² - 21n - 7n + 7 ← collect like terms
= 21n² - 28n + 7
Answer:
22.5 lbs
Step-by-step explanation:
First you find the cubic feet. That is the volume of the object which is length*width*height.
In your example, they are using inches. So you have to convert all units to feet. That would be 0.5 inches, 0.5 inches, and 5/3 inches. The volume would be 0.5*0.5*5/3 which is about 5/12 cubic feet
You then take that 5/12 cubic feet and multiply it by the 54 lbs/cubic foot. The answer would be 22.5 lbs
answer:
5.002 inches
step-by-step explanation:
- find the diameter of the circle
- the diameter is the side length of the square since the sides of it are touching the circle
c = 2πr
- c stands for circumference
- π stands for pi (or 3.14)
- r stands for radius
- plug in the values given to find the diameter
c = 2πr
15.71 = 2(3.14)r
15.71 = 6.28r
r = 2.501 (rounded or estimated)
- now that we have the radius, we can find the diameter by multiplying by 2, since diameter is two times bigger than the radius
diameter = 5.002 (estimated)
- now, that will be the side length because the diameter = the side length
The answer would still be 3. Nothing changes
Answer:
46% of Xander's friends prefer to stay home on Friday nights.
Step-by-step explanation:
Formula

As given

i.e
Zanders friends prefer to stay home on Friday night = 23
Total numbers of Zanders friends are 50.
Part value = 23
Total value = 50
Put in the formula


Percentage = 46%
Therefore 46% of Xander's friends prefer to stay home on Friday nights.