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iogann1982 [59]
2 years ago
13

Mr. Green paid $7.50 for a set of dry erase markers. He used a $2.00 coupon for his purchase. Write AND solve an equation that r

epresents the difference between d, the original price of the markers and the coupon. Solve for d.
Mathematics
1 answer:
dalvyx [7]2 years ago
6 0

Answer:

d - 2 = 7.50

$9.50

Step-by-step explanation:

Given that:

Money paid by Mr. Green for a set of dry erase markers = $7.50

Coupon used for the purchase = $2.00

To find:

The equation and solution to represent the difference the original price d of the markers and the coupon.

Solution:

Given that, the original price of the dry erase markers = $d

Coupon amount = $2.00

Amount paid = $7.50

The equation can be made by subtracting the coupon amount from the original price and comparing it with the amount paid by Mr. Green for the purchase.

Original price = $(d - 2)

d - 2 = 7.50

Solving the above equation by adding 2 on both the sides:

d -2+2= 7.50+2\\\Rightarrow d = \$9.50

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Pleaseeeeeee help mee
BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given  

                cos( 3x - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

                  cos( 3x - \frac{\pi }{3} )  = cos (\frac{\pi }{6} )

                      3x - \frac{\pi }{3}  =  \frac{\pi }{6}

                      3x - \frac{\pi }{3  } + \frac{\pi }{3}   =  \frac{\pi }{6} + \frac{\pi }{3}

                      3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}

                     x = \frac{\pi }{6}

<u><em>Step(ii)</em></u>:-

The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

<u><em>verification </em></u>:-

      cos( 3x - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

put  x = \frac{\pi }{6}

    cos( 3(\frac{\pi }{6})  - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

    cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} =  \frac{\sqrt{3} }{2}

Both are equal

∴The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

                     

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