Answer:
Step-by-step explanation:
5 hours × 65 km/hour = 325 km
Total distance = 40+45+50+35+55+325 = 550 km
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!
Considering the linear function found in part a, we have that:
b) The slope is of AC.
c) The intercept is of AD + B.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The equation found in part a is:
A(Cx + D) + B.
Placing it in slope-intercept format, we have that it is given by:
ACx + AD + B.
Hence:
b) The slope is of AC, as it is the part that multiplies x.
c) The intercept is of AD + B, as it is the constant term.
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
Answer:
x = 3
Step-by-step explanation:
The sum of 14 ad a number is 17
The sum of 14 and a number (represented by x)
14 + x
is 17
= 17
The sum of 14 and a number is 17
14 + x = 17
Now, let's solve this.
14 + x = 17
-14 -14
x = 3
123
32 26
---- = ------
x 100
32 x 100=3200
26(x)= 26x
3200=26x
3200/26=x
x=123
