Since 3^2 - (-4)(7) must be bigger than 0
Then it has two real roots.
Answer:To make 5 batches, Jude needs to use 20 packages of pre-mixed mortar.
Jude uses 9 quarts of water to make 3 batches of cement
If jude uses 16 packages of pre-mixed mortar, he will need to use 12 quarts of water
To make 0.5 batch of cement , Jude should use 2 packages of pre-mixed mortar
Step-by-step explanation:
Answer: The correct number of balls is (b) 4.
Step-by-step explanation: Given that a single winner is to be chosen in a random draw designed for 210 participants. Also, there is an equal probability of winning for each participant.
We are using 10 balls, numbered through 0 to 9. We are to find the number of balls which needs to be picked up, regardless of order, so that each of the 210 participants can be assigned a unique set of numbers.
Let 'r' represents the number of balls to be picked up.
Since we are choosing from 10 balls, so we must have

The value of 'r' can be any one of 0, 1, 2, . . , 10.
Now,
if r = 1, then

If r = 2, then

If r = 3, then

If r = 4, then

Therefore, we need to pick 4 balls so that each participant can be assigned a unique set of numbers.
Thus, (b) is the correct option.
Answer:
w = -7
Step-by-step explanation:
Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other.
Divide -2 from both sides:
(14)/-2 = (-2w)/-2
(14)/-2 = w
Note that when you are dividing:
- 1 negative & 1 positive sign will result in a negative answer
- 2 negative sign will result in a positive
- 2 positive sign will result in a positive
In this case:
(14)/-2 = -7
-7 is your answer for w.
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Answer:
192
Step-by-step explanation: