Answer:
24
Step-by-step explanation:
12 divided by 1/2 = 24
Hope this helped! :)
2 is common factor
2x=2(x)
4=2(2)
ab+ac=a(b+c)
2(x)+2(2)=2(x+2)
Answer:
1. The expected pay-out on each policy is 250 * 1/90 + 12000 * 1/100 + 17000 * 1/400 = $165. So that's what the premium would have to be in order to get a profit of 0.
2. The profit per policy is the premium the company receives minus the expected payout = 350 - 165 = $185.
3. The expected profit on 375 policies would be 375 * 185 = $69375
Step-by-step explanation:
The length of hours Gilbert drove is 7.5 hours.
The length of hours Brian drove is 4.1 hours.
<u>Step-by-step explanation</u>:
- Gilbert averaged = 45 miles per hour
- Brain averaged = 65 miles per hour
- Total hours = 11.6 hours
- Total distance = 604 miles
Let 'x' be the hours Gilbert drove.
Let 'y' be the hours Brian drove.
x+y = 11.6 -----(1)
45x+65y = 604 -----(2)
Multiply (1) by 45 and subtract (2) from (1)
45x+45y = 522
-(<u>45x+65y = 604</u>)
<u> -20y = -82 </u>
y = 82/20
y = 4.1 hours
The length of hours Brian drove = 4.1 hours
Substitute y=4.1 in (1)
x+4.1 = 11.6
x = 7.5 hours
The length of hours Gilbert drove = 7.5 hours
Answer:
x > -2
Step-by-step explanation:
-3x + 12 < 18
Subtract the 12 from both sides and you'll get:
-3x < 6
Divide by -3
x > -2
You flip the sign when you mulitply by a negative number
Hopefully this helps, sorry if it doesn't