A sphere is cut into 8 congruent pieces. The radius of the
2 answers:
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Answer:
Each apple costs $1.20 and each orange costs $1.
Step-by-step explanation:
Let x represent the number of apples and y represent the number of oranges.
For the fruit you bought, 5 apples and 4 oranges, we have 5x+4y. This costs $10. This gives us the equation
5x+4y = 10
For the fruit your friend bought, 5 apples and 5 oranges, we have 5x+5y. This costs $11. This gives us the equation
5x+5y = 11
Together we have the system
We will eliminate x by subtracting the bottom equation from the top:
Divide both sides by -1:
-1y/-1 = -1/-1
y = 1
Each orange costs $1.
Substitute this into the first equation:
5x+4(1) = 10
5x+4 = 10
Subtract 4 from each side:
5x+4-4 = 10-4
5x = 6
Divide both sides by 5:
5x/5 = 6/5
x = 1.2
Each apple costs $1.20.
Answer:
See attached graph.
Step-by-step explanation:
To graph the line, convert the standard form into slope intercept form.
-x + 2y = 11
2y= x+11
y = 1/2 x + 11/2
Graph the equation by plotting the y-intercept (0,11/2) since b= 11/2.
Then from this point move up 1 unit and to the right 2 units. This point is (2, 13/2).
From this point move up 1 unit again and over to the right 2 units. This points is (4, 15/2).
Connect the points to the form the line.
