You buy 4 bags of sand and 3 bags of pea gravel for $24. In a second purchase (at the same prices), you buy 2 bags of sand for $
6. Let x represent the price (in dollars) per bag of sand and let y represent the price (in dollars) per bag of pea gravel. Use a graph to find the price per bag of sand and the price per bag of pea gravel.
1 answer:
Answer:
x = $3
y = $4
Step-by-step explanation:
We need to know the prices of gravel and peas. We can find the price by using equations and graphing them.
Let X be the price of the sand
Be and the price of pea gravel
In the first purchase we have:
In the second purchase we have
Both relations represent the equation of a line. In the graphic shown, these lines are drawn. In this case the interception between both lines represents the price of each product, and the solution of the problem. You can see that the lines intersect at point (3 4). This means that the price of each bag of sand is $ 3, and the price of a bag of pea gravel is $ 4.
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You want to solve for x so add 18 from both sides of the equal sign. making it 3x=12. then divide both sides by 3 making x=4. x is 4.
Answer- Follow the attachment attached herewith.
Solution-
As we know if we are moving in left or right, we have to deal with the x - direction or x co-ordinate and if we are moving in up and down , we have to deal with y - direction or y co-ordinate .
If we are moving in right ,we have to add in x co-ordinate and if we are moving left we have subtract from x co-ordinate. Likewise, if we are moving up, we have to add in y co-ordinate and if we are moving down, then we have to subtract from y co-ordinate.
As given in the question, we have move the triangle 4 units right and 5 units down,
The co-ordinate of given triangles'
A = (-1,3)
B = (-5,-3)
C = (2,-1)
∴Then the new co-ordinate will be
A' = (-1+4 , 3-5) = (3,-2)
B' = (-5+4 , -3-5) = (-1,-8)
C' = (2+4 , -1-5) = (6,-6)
