Answer:
The prime factorization of 1001 is 7*11*13, so with the constraint that the tables seat between 2 and 19 guests, we can use tables that seat either 7, 11, or 13 guests.
For tables that seat 7, the caterer would need 11*13 = 143 tables.
For tables that seat 11, the caterer would need 7*13 = 91 tables.
Step-by-step explanation:
12 -2x < 16
First, subtract 12 from both sides.
-2x < 16 - 12
-2x < 4
Divide both sides by -2
x > -2 (you switch the < sign with > when divided by a negative).
Because it is not greater than/less than or equal to, it is an open circle at -2. Any number that is greater than -2 means it's shaded to the right, the answer's B.
V= 3
because
15=5*v
3*5=15
so v=3
"raise at least $140" tells you that, whatever the variables may be, the french club's profit needs to be 140 or more
they're selling pastries at $3.50 each, so we'll say that p is the number of pastries
140 >/= 3.50p
$140 must be greater than or equal to the profit from sold pastries
then just solve the inequality from there by isolating your variable:
140 >/= 3.50p
divide both sides by 3.50
40 >/= p
so they must sell at least 40 pastries to raise $140 dollars
The answer is A. All the right numbers are 22, 25, 35, 49.5, and 58. There you go.