13/20 of the group's video games are at Jerome or Mario's house.
Jerome has 1/4 of the group's video games.
Mario has 2/5 of the group's video games.
The question asks what fraction of the video games are at either of their houses. Therefore, we need to add the fractions together to find out the total fraction of the video games at both of their houses.
1/4 + 2/5
We can't add these together because they have different denominators. We'll need to find the least common denominator of 4 and 5 before we can add them. If you can't think of a number that the two denominators can both multiply to get, an easy way to find the common denominator is to multiply the numbers together.
4 x 5 = 20
Therefore, our common denominator is 20. Now, we need to convert the fractions so that they can have a denominator of 20.
1/4 = ?/20
In order to find the numerator, ask yourself what we multiplied the denominator by to get the new denominator. In this case, we multiplied 4 by 5 to get 20. Therefore, we need to multiply 1 by 5 to get an equal fraction.
1 x 5 = 5
1/4 = 5/20
Our fraction is 5/20.
2/5 = ?/20
Now, let's do the same thing with the other fraction. In this case, we multiplied 5 by 4 to get 20, so we need to multiply 2 by 4 to get an equal fraction.
2 x 4 = 8
2/5 = 8/20
Our fraction is 8/20.
Now that the fractions both have the same denominator, we can add them together easily.
5 + 8 = 13
5/20 + 8/20 = 13/20
Add the numerators together to get the final answer.
Therefore, 13/20 of the group's video games are either at Jerome or Mario's house.
Hope this helps!
Answer:
<h2>There are 33 pennies, 66 dimes and 66 nickels</h2>
Step-by-step explanation:
let the pennies be p
nickles be n
and dimes be d
p+n+d=165----------------1
Also n=2p
d=2p
substitute n=2p and d=2p in the eqn 1
p+2p+2p=165
5p=165
p=165/5
p=33
n=2(33)
n=66 nickels
d=(33)
d=66dimes
Answer:
Part A: y=5x
Part B: B and D
Step-by-step explanation:
The ratio of the number of cases to the total cost is 1:5. So, an equation that can be modeled by this situation in slope-intercept form is y=5x.
The unit rate actually does equal the constant of proportionality, so this is not true.
The unit rate of the number of cases per dollar is 1/5, so this is true.
No, the graph starts on the origin, so this isn’t true.
Points (0,0) and (1,5) are on the graph, so this is true.
25 cases will not cost $120, they will cost $125.