Answer: 6
Step-by-step explanation:
12 = 2^2 • 3
30 = 2 • 3 • 5
72 = 2^3 • 3^2
7x-35<2x-10 distribut it
7x-2x<-10+35 collect like them
5x<25 divide both side by 5
x<5
Answer:
C
Step-by-step explanation:
Given the logarithmic equation

First, notice that

So, there is no possible solutions, all possible solutions will be extraneous.
Solve the equation:

then

Hence,
and
are extraneous solutions
if you meant x^2+9x+20 then it is (x+4)(x+5) you know that because 4+5=9 and 4x5=20 using FOIL
Answer:
How many drinks should be sold to get a maximal profit? 468
Sales of the first one = 345 cups
Sales of the second one = 123 cups
Step-by-step explanation:
maximize 1.2F + 0.7S
where:
F = first type of drink
S = second type of drink
constraints:
sugar ⇒ 3F + 10S ≤ 3000
juice ⇒ 9F + 4S ≤ 3600
coffee ⇒ 4F + 5S ≤ 2000
using solver the maximum profit is $500.10
and the optimal solution is 345F + 123S