Answer:
3 packages
Step-by-step explanation:
Given
See attachment for complete question
Required
The packages less than 30 kg.
To do this, we simply add up the frequencies of packages less than 30 kg.
From the chart, we have:
So, the total is:
Answer:
7 hours and 9 minutes
Step-by-step explanation:
4 hours and 33 minutes is 273 minutes
7 m/s —> 273 minutes
11 m/s —> M
Criss cross to get M
11x273= 7M
3003=7M
M=429 minutes
==> 429 minutes is 7 hours and 9 minutes
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.
Step-by-step explanation:
Let's say c is the price of cinnamon tea, and s is the price of spice tea.
10c + 2s = 13
16c + 8s = 28
Divide the second equation by 4:
4c + 2s = 7
Subtract from the first equation:
6c = 6
c = 1
Use any equation to find s.
s = 1.5
Therefore, the cinnamon tea costs $1 per pound and the spice tea costs $1.50 per pound.