The number is 125 and the equation is 0.8x = 100
Step-by-step explanation:
80% of x is equal to 100.
Write an equation that shows the relationship of 80%, x, and 100
80% = 0.8
0.8x = 100
x = 100/0.8
x = 125
The number is 125 and the equation is 0.8x = 100
Answer:
If you meant for 1/2 and 3/4 to be simplified, then they are already in their reduced forms.
Step-by-step explanation:
<h3>
Answer: 30,240 different ways</h3>
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Explanation:
We have 8 people to start with. If we remove Alice and Bob, and replace them with Charlie (who will be a stand in for both people), then we have 8-2+1 = 7 people in this line. There are 7! = 7*6*5*4*3*2*1 = 5040 different permutations or line orderings for these seven people.
For any given permutation, replace Charlie with Alice and Bob. There are two ways to do this for any ordering. We could have Alice in front of Bob, or Bob in front of Alice. So there are 2 times as many permutations compared to 5040. In other words, there are 2*5040 = 10,080 different permutations where Alice and Bob are standing together.
This is out of 8! = 8*7*6*5*4*3*2*1 = 40,320 different permutations overall of arranging 8 people in a line.
This means there are 40,320 - 10,080 = 30,240 different ways to arrange 8 people such that Alice and Bob are not standing together.
In summary, the idea is to find out how many ways there are to have Alice and Bob together. Then we subtract that result from the total number of ways to arrange 8 people to get our final answer.
So you subsitute y=2/3x-4 for y in 2x+y=4 so
2x+(2/3x-4)=4
2x+2/3x-4=4
add like terms
2 and 2/3x-4=4
add 4 to both sidees
2 and 2/3x=8
2 and 2/3=6/3+2/3=8/3
8/3x=8
multiply both sides by 3/8 (makes 8/3=24/24=1/1=1)
x=(3*8)/8
simplify
x=3
subtitute x=3 into y=2/3x-4
y=2/3(3)-4
y=(6/3)-4
y=2-4
y=-2
Answer:
![25\ pizzas](https://tex.z-dn.net/?f=25%5C%20pizzas)
Step-by-step explanation:
we know that
2 pizzas that had extra cheese represent 8% of the total of pizzas
so
by proportion
Find the number of total pizzas
![\frac{2}{8\%}=\frac{x}{100\%}\\ \\x=100*2/8\\ \\x=25\ pizzas](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B8%5C%25%7D%3D%5Cfrac%7Bx%7D%7B100%5C%25%7D%5C%5C%20%5C%5Cx%3D100%2A2%2F8%5C%5C%20%5C%5Cx%3D25%5C%20pizzas)