Answer:
The answer is 50.
Step-by-step explanation:
Set up a proportion: 
Step 2- Multiply 41 by 100 to get 4100
Step 3. Divide 4100 by 82 to get 50.
Hope this helps! :)
Answer:
13.79%
Step-by-step explanation:
A solution is made by dissolving 24 millimeters of saline in 150 millimeters of pure solution
Therefore percent of saline in the pure solution can be calculated as follows
= 24/24+150 × 100
= 24/174 ×100
= 0.1379 ×100
= 13.79%
Hence the percent of saline in the pure solution is 13.79%
Mrs. Blat spends at least ...
13.99 +10.00 +6.00 = 29.99
each month. Over the year, this is a minimum of
12*$29.99 = $359.88
_____
The variable cost is the cost of the 2nd book, which may or may not be purchased in any given month.
Answer:
x=pi/3 + 2pi*k
x=2pi/3+2pi*k
Step-by-step explanation:
sin(x)=sqrt(3)/2
This happens twice in the first rotation on our unit circle.
It happens in the first quadrant and in the second quadrant. Third and fourth quadrants are negative for sine.
So we are looking for when the y-coordinate on the unit circle is sqrt(3)/2.
This is at pi/3 and 2pi/3.
So we can get all the solutions by adding +2pi*k to both of those. This gives us a full rotation about the circle any number of k times. k is an integer.
So the solutions are
x=pi/3 + 2pi*k
x=2pi/3+2pi*k
Based on the given situation, if x is number of kilograms of lobster, you can write the following expressions:
51 + 5x cost in the first restaurant
33 + 8x cost in the second restaurant
In order to determine the value of x which makes the cost the same in both restaurants, equal the previous expressions and solve for x:
51 + 5x = 33 + 8x subtract 33 both sides and 5x subtract both sides
51 - 33 = 8x - 5x simplify
18 = 3x divide by 3 both sides
18/3 = x
6 = x
x = 6
Hence, the weight of the lobster is 6 kg.
The cost of the dinner is:
51 + 5(6) = 51 + 30 = 81
Hence, the cost of the dinner is $81
