Since value of k is same for y/x for all values in the table so, y varies directly with x
And equation is: 
Step-by-step explanation:
We need to find if y varies directly with x from the values given in the table.
If y varies directly with x then we have the equation:

where k is constant of proportionality
or we can write

If k is same for all values of x and y when (y/x=k) then we can say that y varies directly with x.
if x = -20 and y=45 then k is:

So, value of k is -2.25
if x = 1 and y=-2.25 then k is:

So, value of k is -2.25
if x = 12 and y=-27 then k is:

So, value of k is -2.25
Since value of k is same for y/x for all values in the table so, y varies directly with x
And equation is: 
Keywords: Direct Relationship
Learn more about Direct Relationship at:
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Step-by-step explanation:
perimeter of square = 30cm
perimeter of rectangle = 30cm
area of square is = 30×30= 900 cm
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Pete starts with 4 quarts of 20% juice, which contains
0.20 • (4 quarts) = 0.8 quarts
of juice.
If he mixes this with <em>x</em> quarts of 60% juice, which contains
0.60 • (<em>x</em> quarts) = 0.6<em>x</em> quarts
of juice, then he would end up with a mixture with a volume of (<em>x</em> + 4) quarts that contains (0.8 + 0.6<em>x</em>) quarts of juice. The mix has to have a concentration of 50% juice, which means
(0.8 + 0.6<em>x</em>) / (<em>x</em> + 4) = 0.50
Solve for <em>x</em> :
0.8 + 0.6<em>x</em> = 0.50 (<em>x</em> + 4)
0.8 + 0.6<em>x</em> = 0.5<em>x</em> + 2
0.1<em>x</em> = 1.2
<em>x</em> = 12
So Pete needs 12 quarts of the 60% juice.
Answer:
I can't
Step-by-step explanation:
Answer:
4x and 7x; -3 and 1: these are like terms
Step-by-step explanation:
when finding like terms, look for same variables.