Question 1:
For this case we have to:
h: Let the variable representing the amount of hours Liv was offered.
y: Let the variable representing the number of hours Gavin was offered.
According to the data we have to:
[tex]h + y = 50\\y = h-4[/tex]
So, replacing the second equation in the first we have:
[tex]h + (h-4) = 50\\h + h-4 = 50\\2h = 54[/tex]
With that equation we find the number of hours of Liv ([tex]h = 27 hours[/tex]) and then we find the number of hours of GAvin ([tex]y = 23 hours[/tex])
ANswer:
[tex]2h = 54[/tex]
Question 2:
For this case we have that by definition, the distance traveled is given by:
[tex]x = v * t[/tex]
Where:
x: It is the distance traveled
v: It's the speed
t: It's time
According to the data we have to:
[tex]v = s\\t = 0.75[/tex]
Substituting we have:
[tex]x = 0.75s[/tex]
Answer:
[tex]x = 0.75s[/tex]
Question 3:
For this case we have to:
m: Be the variable that represents the number of meters Alexis swam
y: Be the variable that represents the number of meters that Swim sade
According to we have to:
[tex]m+y = 200\\y = \frac {m} {2}[/tex]
Substituting the second equation into the first we have:
[tex]m +\frac {m} {2} = 200[/tex]
Thus, with the previous equation we can find the amount of meters that Alexis swam.
Answer:
[tex]m +\frac {m} {2} = 200[/tex]
Question 4:
For this case we have to:
g: Let the variable representing the amount of peanuts Grace ate
y: Let the variable representing the amount of peanuts Kenoa ate
According to the data we have to:
[tex]g + y = 40\\y + 5 = g[/tex]
According to the first equation we have to:
[tex]y = 40-g[/tex]
If we substitute in the second equation:
[tex]40-g + 5 = g\\45 = 2g[/tex]
Answer:
[tex]45 = 2g[/tex]
