Answer:
width = 5k²
length = 3k² + 7k + 4
Step-by-step explanation:
(see attached)
Answer:
area = 50.27 sq inches
circumference = 25.14 in
Step-by-step explanation:
given radius r = 4 in
area = πr² = 3.142 x 4² = 50.27 square inches
circumference = 2πr = 2 x 3.142 x 4 = 25.14 inches
Answer:
- 5 integers: {4, 6, 8, 12, 24}
Step-by-step explanation:
<u>From the given info we have:</u>
- 99 - 3 = 96 is divisible by the number, the number is greater than 3 since the remainder was 3.
- 70 + 2 = 72 is divisible by same number.
<u>Using the above info, find all factors of the two numbers, greater than 3:</u>
- 96 = 4*24 = 6*16 = 8*12 = 12*8 = 16*6 = 24*4 = 32*3 = 48*2
- 72 = 4*18 = 6*12 = 8*9 = 12*6 = 18*4 = 24*3 = 36*2
<u>The common divisors are:</u>
Answer:
41 2/3 oz of water
Step-by-step explanation:
All you have to do is multiply 8 1/3 by 5.
First, lets convert 8 1/3 into an improper fraction (a fraction where the numerator is greater than the denominator):
8 1/3 = 25/3
now, we can multiply 25/3 by 5 and get 125/3, which simplifies to 41 2/3
Answer:
the first one.
Step-by-step explanation:
DJ and decorations are one time flat costs. they are constant. so, together, they are $300.
that is what decreases the profit.
on the other side, $5 per student = 5n in total increases our profit.
so, in total the sum of both (the decreasing amount has a negative sign, if course) :
5n - 300 = 1,500
is the right equation to calculate how many students are needed to make that much profit.
the solution, but the way :
5n - 300 = 1500
5n = 1800
n = 1800/5 = 360 students
