T = Total income
N = Number of purses
35N = the selling price of each purse
17N = Cost of each purse
T = 35*N - 17*N - 75
T = 18N - 75
If she wants here total income to be 350 dollars, it will take
T = 350 ; N = unknown.
350 = 18N - 75 Add 75 to both sides.
350 + 75 = 18N
425 = 18N
Rounded N = 24 <<<< Answer. The actually number is 23.611 but you can't sell 0.611 of a purse.
Using a proportional relationship, the amounts are given as follows:
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
For this problem, we have that:
- The input variable is the number of tennis players.
- The output variable is the number of soccer players.
From the first row of the table, the constant is given as follows:
k = 35/15 = 7/3.
Hence the relationship is:
y = 7/3x.
For the second row of the table, we have that x = 3, hence:
y = 7/3 x 3 = 7.
For the third row of the table, we have that y = 84, hence:
84 = 7/3x
x = 84 x 3/7
x = 36.
Then the amounts are given as follows:
More can be learned about proportional relationships at brainly.com/question/10424180
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Answer:
Train A = 299 tons Train B = 50 tons
Step-by-step explanation:
Train A = x
Train B = y
x+y = 349
x= y +249
Plug in one equation into another
y+249+y= 349
Simplify
2y+249=349
Subtract 249 from both sides
2y=100
Divide both sides by 2
y=50
Plug it into the x equation to solve for x
x+50=349
-50 from both sides
x=299
The answer is (-2, 10) because when reflecting over the x, change the sign of y. When reflecting over the y, change the sign of x.
Answer:
x=1 and x=-1/3
Step-by-step explanation:
Therefore, x=1 and x=-1/3
