The <em>correct answer</em> is:
6 balloons.
Explanation:
Let x represent the number of balloons purchased.
We will call the function for Clowns R Fun c(x):
c(x) = 1.25x+6
We will call the function for Singing Balloons s(x):
s(x) = 1.95x+2
We want the amount for Clowns R Fun, c(x) to be less:
c(x) < s(x)
1.25x+6 < 1.95x+2
Subtract 1.25x from each side:
1.25x+6-1.25x < 1.95x+2-1.25x
6 < 0.7x+2
Subtract 2 from each side:
6-2 < 0.7x+2-2
4 < 0.7x
Divide each side by 0.7:
4/0.7 < 0.7x/0.7
5.7 < x
x > 5.7
She must buy more than 5.7 balloons; the next integer up is 6. She must buy 6 or more balloons.
Answer:

Step-by-step explanation:
Let's look at the prime factors of 210.
210 = 2 * 3 * 5 * 7

Since no factor appears more than once, this radical cannot be simplified.
Answer:
Step-by-step explanation:
The answer is $11.55 for the week.
1) Since 1 watt is 0.001 kilowatts, 1500 watts is 1.5 kilowatts.
2) Multiply that by 7 for the week and that equals 10.5.
3) It takes her 10 minutes each day, so it takes 70 minutes per week, that is also 1.1 hours.
4) Multiply 10.5 kilowatts by 1.1 hours and you get 11.55.
5) The answer is $11.55 per week to dry Lisa's hair.
Answer:
X^2+5x-50
Step-by-step explanation:
X^2-5x+10x-50
10, 20w, 2w, and we are factors of 20w and 40wz