The answer is 30
we expect that in every 50 people, 1 will have free admission.
so:
<span>We need to divide 72 rolls into 2 groups so that their ratio is 3:5. First, we can see that the ratio of 3:5 tells us there is 8 separate groups of rolls. Now its easy, since we have 72 rolls and we need to divide them into 8 equal groups: 72/8=9. So each group has 9 rolls. Now we separate them into groups with the ratio 3:5, so: 3*9:5*9 and that is: 27 rolls and 45 rolls. </span>
To get the solution, we are looking for, we need to point out what we know.
<span>1. We assume, that the number 42.5 is 100% - because it's the output value of the task. </span>
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 42.5 is 100%, so we can write it down as 42.5=100%. </span>
<span>4. We know, that x is 76.8% of the output value, so we can write it down as x=76.8%. </span>
5. Now we have two simple equations:
1) 42.5=100%
2) x=76.8%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
42.5/x=100%/76.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 76.8% of 42.5
42.5/x=100/76.8
<span>(42.5/x)*x=(100/76.8)*x - </span>we multiply both sides of the equation by x
<span>42.5=1.30208333333*x - </span>we divide both sides of the equation by (1.30208333333) to get x
<span>42.5/1.30208333333=x </span>
<span>32.64=x </span>
x=32.64
<span>now we have: </span>
<span>76.8% of 42.5=32.64</span>
Answer:
x = 21
General Formulas and Concepts:
<u>Geometry</u>
- Corresponding Angles - Angles that are congruent to each other and occur with parallel lines
Step-by-step explanation:
<u>Step 1: Identify</u>
We see that the measures given are Corresponding Angles
<u>Step 2: Solve for </u><em><u>x</u></em>
- Set up equation: 8x - 7 = 9x - 28
- Subtract 8x on both sides: -7 = x - 28
- Add 28 on both sides: 21 = x
- Rewrite: x = 21
45=1,3,5,9,15,45
37=only 1 and 37 because it is prime.
51= 1,3,17,51
