The fraction of the furniture sold that are tables is given by 1/2y / (1/3x + 1/3y)
<h3>Equation</h3>
Let
- number of chairs = x
- Number of tables = y
Number of tables and chairs sold = 1/2(x + y)
= 1/2x + 1/2y
- Fraction of chairs sold = 1/2x
- Fraction of tables sold = 1/2y
Furniture remaining = 1/3(x + y)
Fraction of tables sold = 1/2y ÷ 1/3(x + y)
= 1/2y ÷ 1/3x + 1/3y
= 1/2y × 1 / (1/3x + 1/3y)
= 1/2y / (1/3x + 1/3y)
Therefore, the fraction of the furniture sold that are tables is given by 1/2y / (1/3x + 1/3y)
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Answer:
y = -x - 7
Step-by-step explanation:
As we move from the point (3, -4) to the point (5, -6), x increases by 2 and y decreases by 2. Thus, the slope of this line is m = rise / run = -2/2, or -1.
Starting with the general slope-intercept form of the equation of a straight line, we get y = mx + b => y = -1x + b.
Subbing -4 for y and 3 for x, we get
-4 = -1(3) + b, which yields b = -1
Thus, the desired equation is
y = -x - 1
Answer:
21
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Answer:
5/7
Step-by-step explanation:
Simplify the radical by breaking the radical up into a product of known factors.
Answer: x= 5
Step-by-step explanation:
Plug the second equation into the first equation’s y.
3x-2(-2x+7)=21
Then use distribution
3x+4x-14=21
Add 4x and 3x
7x-14=21
Then add 14 to both sides
7x=35
Divide by 7 to get x
35/7=5
x=5
