G= 2d ÷ 26
If Julie goes 52 miles for her total distance she would need 2 gallons of gas. This is because she can go 26 miles on 1 gallon and 52 ÷ 26 is 2.
The dried fruit divided evenly between the 3 children, each would get 9/8 cups of dried fruit
Answer:
x= -10/3
y= -8/9
Step-by-step explanation:
2x+1=3(y−1);6(2y−1)=5x
Rewrite equations:
2x+1=3y−3;12y−6=5x
Step: Solve2x+1=3y−3for x:
2x+1=3y−3
2x+1+−1=3y−3+−1(Add -1 to both sides)
2x=3y−4
2x2=3y−42(Divide both sides by 2)
x=32y−2
Step: Substitute32y−2forxin12y−6=5x:
12y−6=5x
12y−6=5(32y−2)
12y−6=152y−10(Simplify both sides of the equation)
12y−6+−152y=152y−10+−152y(Add (-15)/2y to both sides)
92y−6=−10
92y−6+6=−10+6(Add 6 to both sides)
92y=−4
92y92=−492(Divide both sides by 9/2)
y=−89
Step: Substitute−89foryinx=32y−2:
x=32y−2
x=32(−89)−2
x=−103(Simplify both sides of the equation)
A direct variation generally has the equation Y=KX
Because Mrs. Potts makes 5 dozen ravioli in 1 hour, this will be the K value.
(5 dozen/1 hr)
To figure out how many she can make in 2 1/2 hrs. You use 5 dozen/1 hr as the K value and multiply that by 2 1/2 hrs (the X value).
The hrs will cancel out and you will be left with the number of ravioli made in 2 1/2 hrs.
