Answer:
Cost per pound: $3.53
Pounds per dollar: 0.28
Step-by-step explanation:
The cost per pound is simply the total cost divided by the amount of pounds you got for the total cost. To get the price per pound, you divide $1 by the cost per pound, $3.53, to get the amount of pounds you get per dollar.
Step-by-step explanation:
We must prove that
cos²a(csc²a-cot²a) = cos²a
If we look at both sides, we can see that we have cos²a * something = cos²a. Therefore, if we can get that something to equal 1, we have our proof. In this case, that something is csc²a-cot²a. Using this information, we can work from within the parenthesis and go from there.
We can start by expanding the items in the parenthesis. Taking that csc(x) = 1/sin(x) and cot(a) = cos(x)/sin(x), we can say that
cos²a(csc²a-cot²a) = cos²a(1/sin²a - cos²a/sin²a). Because both items in the parenthesis have a denominator of sin²a, we can subtract cos²a from 1 to get
cos²a(1/sin²a - cos²a/sin²a)= cos²a((1-cos²a)/sin²a))
Next, we know that cos²a+sin²a=1, so 1-cos²a = sin²a. Plugging that in, we get
cos²a((1-cos²a)/sin²a)) = cos²a(sin²a/sin²a)
= cos²a(1)
= cos²a
Answer:
193 packets
Step-by-step explanation:
Each morning they order with a shipping fee of $10 daily.
Considering they order all 7 days of the week, so the total shipping fee for the week would be:
7 * $10 = $70
Their budget for the week is $554, out of which $70 is for shipping for the week, so remaining balance would be:
554 - 70 = $484
This 484 dollars are for coffee packets that cost $2.50 each, so the number of packets would be:
484/2.50 = 193.6
You can't order fractional packets so 193 packets is the max in this budget
Answer: 35%
Step-by-step explanation:
20 bars
7 unshaded - not installed
7/20 = 0.35 = 35%
Answer:
the correct answer is b
Step-by-step explanation:
