A garden table and a bench cost $688 combined. The garden table costs $62 less than the bench. What is the cost of the bench?

Mathematics

2 answers:

Savatey [412]4 years ago

5 0

If the bench costs x dollars we have the equation
x + x - 62 = 688
2x = 750
x = $375

The bench cost $375

Aleonysh [2.5K]4 years ago

3 0

The bench would cost $375. Take 688 and subtract 62, you should get 626. Divide that by two to solve for the cost of the garden table, which is $313. Add $62 to solve for the cost of the bench, $375.

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Draw and label the final image of △ABC after the given sequence of transformations. Reflect △ABC over the y−axis and then transl

arlik [135]

Answer: The correct option is A.

Explanation:

From the given figure it is noticed that each box in the graph represents the length of 2 units. The coordinates of point A,B and C are (-1,1),(-3,3) and (-2,4) respectively.

If a point reflects over the y-axis then,

$(x,y)\rightarrow(-x,y)$

So after reflecting coordinates of point C become,

$(-2,4)\rightarrow(2,4)$

If a point translated by (a,b), then

$(x,y)\rightarrow(x+a,y+b)$

So, after reflection over y-axis followed by translation by (2,-2), the coordinate of C are,

$(2,4)\rightarrow(2+2,4-2)\\(2,4)\rightarrow(4,2)$

Similarly the image of point A and B are (3,-1) and (5,1) respectively.

The image of C after reflection over y-axis followed by translation by (2,-2) is (4,2), which is shown in only graph A, Therefore A is the correct option.