Answer:
x=-3 x=-2
Step-by-step explanation:
x^2+5x+6=0
Factor
What 2 numbers multiply to 6 and add to 5
3*2 =6
3+2=5
(x+3)(x+2) =0
Using the zero product property
x+3 =0 x+2=0
x=-3 x=-2
Answer:
Opposite sides are equal
Diagonals bisect each other
Step-by-step explanation:
Answer:
The mean is 13
Step-by-step explanation:
First you add up all of the numbers. In this case, it is 52.
Then you divide the number 52 by the number of number there are. In this case, there are 4 numbers.
After you do that you get the answer 13.
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Answer:
A shipment of 150 bottles will weigh 120 pounds.
Step-by-step explanation:
Given that:
24 bottles of water weigh 30 pounds
Ratio of bottles to weight = 24 : 30
Number of bottles in shipment = 150
Weight of bottles = x
Ratio = x : 150
As the relation is proportional
24 : 30 :: x : 150
Product of mean = Product of extreme
30x = 24 * 150
30x = 3600
Dividing both sides by 30

Hence,
A shipment of 150 bottles will weigh 120 pounds.