Answer:
A. y = 
x - 2
Step-by-step explanation:
I believe you meant to say that if Samantha bought 510 pounds of hamburger, how much will she pay?
Now from the information we already have, we know that 3 pounds of hamburger will cost 6 dollars.
The next thing we need to know is how much one pound of hamburger will cost. This will help us calculate how much the rest will cost.
we now form an equation to assist us.
3 = 6
1= x
(where x represents the unknown price of one pound of hamburger)
Now we must cross-multiply:
3 * x = 6 x 1
3x = 6
x = 6/3
x = 2
therefore one pound of hamburger costs 2 dollars.
Now, If one pound costs 2 dollars, how about 510 pounds?
We simply multiply: 510 x 2 = 1,020
Therefore Samantha will pay 1, 020 dollars for 510 pounds of hamburger.
(12x3)+(3x2) Because on Monday he bought 12 songs for $3 each and on Tuesday he bought 2 songs for $3 each.
The answer is: [B]: " x + 3y + 10 = 0 " .
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Explanation:
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Note the equation for a line; in 'slope-intercept form': "y = mx + b" ;
in which "y" is isolated alone, as a single variable, on the left-hand side of the equation;
"m" = the slope of the line; and is the co-efficient of "x" ;
b = the "y-intercept"; (or the "y-coordinate of the point of the "y-intercept").
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So, given the information in this very question/problem:
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slope = m = (-1/3) ;
b = y-intercept = (10/3) ;
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And we can write the equation of the line; in "slope-intercept form"; that is:
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" y = mx + b " ; as:
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" y = (-1/3)x + (10/3) " ;
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Now, the problem asks for the equation of this line; in "general form"; or "standard format"; which is:
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"Ax + By + C = 0 " ;
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So; given:
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" y = (-1/3)x + (10/3) " ;
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We can multiply the ENTIRE EQUATION (both sides) by "3" ; to get rid of the "fractions" ;
→ 3* { y = (-1/3)x + (10/3) } ;
→ 3y = -1x + 10 ;
↔ -1x + 10 = 3y ;
Subtract "(3y)" from each side of the equation:
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-1x + 10 − 3y = 3y − 3y ;
to get:
-1x + 10 − 3y = 0 ;
↔ -1x − 3y − 10 = 0 ;
→ This is not one of the "3 (THREE) answer choices given" ;
→ So, multiply the ENTIRE EQUATION (both sides); by "-1" ; as follows:
-1 * {-1x − 3y − 10 = 0} ;
to get:
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→ " x + 3y + 10 = 0 " ; which is: "Answer choice: [B] ."
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Note that is equation is in the "standard format" ;
→ " Ax + By + C = 0 " .
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