Answer: the answer should be c
Step-by-step explanation: -3x - 13 is easily found by the perimeter of time (y as a representative)
Answer:
2(n - 6) >= 22
Step-by-step explanation:
2n - 12 >= 22
2n >= 22+12
2n >= 34
n >= 34/2
n >= 17
The best way to do this is to first change each of the measurements into feet and then calculate the area:
2.44m = 8.01ft
1.83m = 6.00ft
When multiplied together (to give the area) we get:
8.01*6.00 = 48.1ft²
Answer:
4.5 inches
Step-by-step explanation:
volume= 1/3 (base area) × height
47.25= 1/3 ( base area) × 7
20.25 = base area
now since the base is a square we can evaluate base area = length²
20.25= length²
length = 4.5 inches
Answer:
Step-by-step explanation:
Let x be the number of 2 coins and y be the number of 5 coins. Let z be the number of 10 coins she exchanged. Then, we have the first equation

Since she has one 5 coin less than 2 coins, then y=x-1. So we get the equation
which is equivalent to
If we add 5 on both sides and factor out on the right by 5 we get

We can solve for x and get
Since x represents the number of 2 coins, we must have that x is an integer. That is, we cannot have, for example 1.5 2 coins. Since 7 doesn't divide 5, we must have that 7 divides 2z+1. That is, the value of z is such that the number 2z+1 is multiple of 7. That is 2z+1 = 7p where p is an integer.
If that is the case, then
x = 5p, then y = 5p-1. By having 2z+1 = 7p, we are forcing that p is an odd integer, so we have infinite solutions. For each value of p that is an odd integer, then x=5p and y=5p-1 is a solution to the problem