Answer:
Company must not produce more than 193,650 units to keep cost as $387
Step-by-step explanation:
we are given with the cost function as
y = 0.002x - 0.30
where x is the number of items produced
We are asked to determine the number of items must be produced so that the cost of production does not go beyond $387
Hence
we put y = 387 and then solve the equation thus formed for x
y = 0.002x - 0.30
387 = 0.002x - 0.30
adding 0.30 on both sides
387+0.30=0.002x
387.30=0.002x
dividing both sides by 0.002

x=193,650
Company must not produce more than 193,650 units to keep cost as $387
It is already given in the question that the combined weight of two rocks is 2 /1/2 pounds. The weight of rock A is also known and it is 1/7 of the total weight of the two rocks. This is enough to find the desired solution.
Now
Total weight of the two rocks = 2 1/2 pounds
= 5/2 pounds
Then
Weight of Rock A = (5/2)/(1/7) pounds
= (5 * 7)/2 pounds
= 35/2 pounds
17 1/2 pounds
So Rock A weighs 17 1/2 pounds. This is the weight of Rock A and it is only required for this question. If you are eager to find the weight of rock B then you have to subtract the weight of Rock A form the total weight of the two rocks.
Answer:
84 different lineups are possible
Step-by-step explanation:
The order in which the songs are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:
6 musics from a set of 9. So

84 different lineups are possible
Answer:
0.960
Step-by-step explanation: