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vova2212 [387]
4 years ago
12

A discount voucher offering 15% off is used to pay a bill.After using the voucher, the bill is reduced to ?36.72.How much was th

e bill before applying the voucher discount?
Mathematics
1 answer:
Aleonysh [2.5K]4 years ago
5 0

Answer:

$43.20

Step-by-step explanation:

To find the original purchase price, write a proportion and solve. A proportion is an equation where two ratios are set equal.

If the discount if 15% then you pay 85%.

\frac{36.72}{y}= \frac{85}{100}

To solve for y, cross multiply the numerator and denominator of each fraction.

36.72(100) = 85y

3672= 85y

43.2 = y

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What is the area of the rectangle with the given dimensions? *
exis [7]

Given:

The dimensions of a rectangle are 2x-5 and 3x+3.

To find:

The expression that represents the area of the rectangle in simplest terms.

Solution:

Area of a rectangle is:

Area=Length\times Width

The dimensions of a rectangle are 2x-5 and 3x+3. So, the area of the given rectangle is:

Area=(2x-5)\times (3x+3)

Area=2x(3x)+2x(3)-5(3x)-5(3)

Area=6x^2+6x-15x-15

Area=6x^2-9x-15

Therefore, the correct option is F, i.e., 6x^2-9x-15.

4 0
3 years ago
3m+4=1 with steps. THX
Fed [463]
3m+4=1
subtract 4 on both sides
3m=-3
divide both sides by 3
m=-1

4 0
3 years ago
What is the distance between (22,-3) and (1, -3)?
Bingel [31]

Answer:

Option D

Step-by-step explanation:

<h2>Distance between two points</h2>

The y-value of the two points is unchanged. So, the line is parralel to x-axis.

The distance will be the diffrence between the x-co ordinates.

\sf Distance = 1 - (-2\dfrac{1}{2})

             \sf =1+\dfrac{5}{2}\\\\= \dfrac{2}{2}+\dfrac{5}{2}\\\\=\dfrac{7}{2}\\\\=3\dfrac{1}{2}

6 0
2 years ago
-4(5k-7)-2k=-2(9k+5)
Mice21 [21]
If you distribute -4 through (5k-7), it equals -20k + 28. Then put on the other -2k on that side of the equals sign and you should have -22k + 28 = -2(9k+5) Then you need to distribute -2 through (9k+5) which equals -18k - 10. You then should have -22k+28=-18k-10. Add 22k to both sides to cancel it out, then you should have 28=4k-10. Add 10 to both sides to get the 4k by itself, which will be 38=4k, then divide both sides by 4 to get k by itself. 38/4 = 19/2. k = 19/2
5 0
4 years ago
Write the standard equation for the circle center (-6,8) that passes through (0,0)
Reil [10]

Answer:

D

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 6, - 8), thus

(x + 6)² + (y + 8)² = r²

The radius is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)

r = \sqrt{(0+6)^2+(0+8)^2} = \sqrt{36+64} = \sqrt{100} = 10

Hence

(x + 6)² + (y + 8)² = 100 → D

4 0
3 years ago
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