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Alenkinab [10]
3 years ago
15

Sheldon wants to buy a laptop that costs $ 450 from an electronics store . He has two coupons to choose from coupon A which give

s him a $ 80 discount and coupon B which gives him a discount of 20.5 % off . Which coupon gives him the better buy ?
Mathematics
1 answer:
Gekata [30.6K]3 years ago
7 0

Answer:

Coupon B

Step-by-step explanation:

Given

Price = \$450

Coupon\ A = \$80

Coupon\ B = 20.5\%

Required

Which coupon is better

From the question, we have:

Coupon\ A = \$80

Coupon\ B = 20.5\%

Coupon B means that:

Coupon\ B = 20.5\% * \$450

Coupon\ B = 0.205 * \$450

Coupon\ B = \$92.25

By comparison:

Coupon B gives him a better buy because: \$92.25 > \$80

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Answer:

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Step-by-step explanation:

We know that one of the endpoints of the line segment is (x+4, 1/2y)

The midpoint of the line segment is (3, -2).

And we want to find the other coordinates in terms of x and y.

To do so, we can use the midpoint formula:

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Since we know that the midpoint is (3, -2), let's substitute that for M:

(3, -2)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Let's solve for each coordinate individually:

X-Coordinate:

We have:

3=\frac{x_1+x_2}{2}

We know that one of the endpoints is (x+4, 1/2y). So, let's let (x+4, 1/2y) be our (x₁, y₁). Substitute x+4 for x₁. This yields:

3=\frac{(x+4)+x_2}{2}

Solve for our second x-coordinate x₂. Multiply both sides by 2:

6=x+4+x_2

Subtract 4 from both sides:

2=x+x_2

Subtract x from both sides. Therefore, the x-coordinate of our second point is:

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Y-Coordinate:

We have:

-2=\frac{y_1+y_2}{2}

Substitute 1/2y for y₁. This yields:

-2=\frac{\frac{1}{2}y+y_2}{2}

Solve for y₂. Multiply both sides by 2:

-4=\frac{1}{2}y+y_2

Subtract 1/2y from both sides. So:

y_2=-\frac{1}{2}y-4

Therefore, the other coordinate expressed in terms of x and y is:

(-x+2, -\frac{1}{2}y-4})

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