Answer:
21
Step-by-step explanation:
21
Answer:
For the first example, the constant of proportionality should be .4 of a mile, meaning that Li can run .4 mile per minute. The equation should be .4x = y. For the second example, it is easy to find the constant of proportionality because it is given, which is 2. The equation to represent this would be 2x = y.
Step-by-step explanation:
The reason why the constant of proportionality is .4 is because I used the ratio from before and compared it to the one needed. I simply turned the ratios into fractions and I cross multiplied before turning it into a equation to solve to find .4 as the constant of proportionality. The equation should be .4x = y because x = the amount of minutes Li ran, and y = the total amount of miles she ran. The reason why the constant of proportionality is 2 in the second problem is because Jennifer is paying 2 per pound, which is the unit rate. If we are looking at the cost per pound, it would mean that 2 is the constant of proportionality. The reason why the equation to represent this would be 2x = y is because x = the amount of pounds, and y = the total amount of money, which represents the situation.
Answer:
(2,4)
Step-by-step explanation:
Equation 1:
x+y=6(for the 6 times they scored)
x=-y+6
Equation 2:
7x+3y=26 (for the 7 point touchdowns, and 3 point field goals.)
7(-y+6)+3y=26(replace x with -y+6)
7y+42+3y=26(distrubite property)
-4y+42=26
-4y= -16
y= 4
Now that we know that y is equal to 4:
x+4=6
x=2
Answer:
63
Step-by-step explanation:
The formula for volume of a box is length×width×height = volume
So you would multiply 3.5×6×3=63
Answer: the cost of one medium sized jug is $60
the cost of one large sized jug is $10
Step-by-step explanation:
Let x represent the cost of one medium sized jug.
Let y represent the cost of one large sized jug.
Jack bought 2 medium sized jugs and 3 large sized jugs for 150 dollars. This means that
2x + 3y = 150 - - - - - - - - - - - 1
Jill bought 4 medium jugs and 12 large jugs for 360 dollars. This means that
4x + 12y = 360 - - - - - - - - - - - 2
Multiplying equation 1 by 4 and equation 2 by 2, it becomes
8x + 12y = 600
8x + 24y = 720
Subtracting, it becomes
- 12y = - 120
y = - 120/ - 12
y = 10
Substituting y = 10 into equation 1, it becomes
2x + 3 × 10 = 150
2x + 30 = 150
2x = 150 - 30 = 120
x = 120/2 = 60