If y varies directly as x, and y is 16 when x is 4, when y= 24 what is the value of x?
1 answer:
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Answer:
1) First mistake: 29 - 5 = 24, not -24
Second mistake: Division by negative number changes the sign of inequality. Sam didn't change the sign.
2) 2.5 kg
3) a) no solutions
b) one solution
c) infinitely many solutions
Step-by-step explanation:
1)Sam solved the following problem:
Dividing by negative number changes the sign of the inequality.
Thus,
2) Hillary buys 3 pounds of Gala apples which cost $4.50 per pound and paid
Let x be the number of pounds of Granny Smith apples Hillary bought. She paid $4.50x for x pounds of Granny Smith apples.
The total cost of Hillary buying is $24.75, so
Solve this equation
of Granny Smith apples.
3) Consider all equations:
a)
Use distributive property:
You get false equality, so this equation has no solutions.
b)
Add -5x:
This equation has one solution
c)
This equation is equivalent to
You get the equality that is true for all values of x, so the equation has infinitely many solutions.