Answer:
x = 1
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = 5 when x = 3
k = yx = 5 × 3 = 15, thus
y = 
← equation of variation
When y = 15 then
15 = ( multiply both sides by x )
15x = 15 ( divide both sides by 15 )
x = 1
75% of 225 = 300.
10% = 30
20% = 60
30% = 90
40% = 120
50% = 150
60% = 180
70% = 210
80% = 240
90% = 270
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Answer:
202.5 miles
Step-by-step explanation:
We find the unit rate of the mile per gallon
135/6
= 22.5
We multiply 22.5 by 9 to get the miles they can drive on 9 gallons
22.5 * 9
= 202.5
Answer:
30
Step-by-step explanation:
Answer:
x=4
y=2
Step-by-step explanation:
2x+2y=12
x−y=2
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
2x+2y=12,x−y=2
To make 2x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 2.
2x+2y=12,2x+2(−1)y=2×2
Simplify.
2x+2y=12,2x−2y=4
Subtract 2x−2y=4 from 2x+2y=12 by subtracting like terms on each side of the equal sign.
2x−2x+2y+2y=12−4
Add 2x to −2x. Terms 2x and −2x cancel out, leaving an equation with only one variable that can be solved.
2y+2y=12−4
Add 2y to 2y.
4y=12−4
Add 12 to −4.
4y=8
Divide both sides by 4.
y=2
Substitute 2 for y in x−y=2. Because the resulting equation contains only one variable, you can solve for x directly.
x−2=2
Add 2 to both sides of the equation.
x=4
The system is now solved.
x=4,y=2
Correct choice is B) x=4.
