Let x be the cost of each book.
So, the cost of 4 books is 4x.
For the purchase of 4 books, he got a discount of $20.
So, the amount he paid for the first four books = 4x - 20.
Now, the cost of 5 books is 5x.
For the purchase of 5 books, he got another discount of $5.
So, the amount he paid for the five books = 5x - 5.
Total money spent = $87.
Therefore, (4x - 20) + (5x - 5) = 87
4x + 5x - 20 - 5 = 87
9x - 25 = 87
9x = 87 + 25
9x = 112
Divide both sides by 9.
x = 12.4
Hence, the cost of each book = $12.4.
The slope of the line is -1/3
Answer:
b
Step-by-step explanation:
i did it
Answer:
$ 208
Step-by-step explanation:
This problem can be solved in a very simple way and the hourly earnings of each product are calculated.
That is, its sale value for the time it costs to create it:
For T-shirts: Each one is worth $ 6 but in one you can make two, therefore
$ 12 per hour.
For shorts: Each one is worth 13 and one is made per hour, therefore
$ 13 per hour
Which means that the most productive thing is to sell all shorts.
It can work 16 hours maximum, therefore it can make 16 shorts.
So:
13 * 16 = $ 208
And this would be the maximum value that can be obtained and complies with the restriction of at least 12 products but less than 24 products.
Answer:
Step-by-step explanation:
We're going to leave the right side alone and work on the left side. In other words we are going to use a series of substitutions for these trig idenitites and get the left side manipulated to look like the right side.
Begin with the fact that sin(2x) = 2sin(x)cos(x) and make that first substitution:
2sin(x)cos(x) - tan(x) = right side
Now use the fact that the tangent is the same as the sin over the cos:
= right side
Now find a common denominator of cos(x) by multiplying the 2sin(x)cos(x) by cos(x) and writing the whole mess over that common denominator:
= right side
Now factor out a sin(x):
= right side
If we "split" that up and simplify at the same time, we'll see that sin(x) ovr cos(x) is the same as the tan(x), and that 2cos^2 - 1 is the same as cos(2x):
and that the left side now is the same as the right side. You MUST learn to recongize these identities. I'll attach a copy that I made and give to my pre-calculus and calculus classes every year, if I am able to.