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andrezito [222]
3 years ago
6

A restaurant bill comes to 28.35. Find the total cost if the tax is 6.25% And a 20% tip is left on the amount before tax.

Mathematics
1 answer:
dezoksy [38]3 years ago
5 0
It comes out to $35.791875.  To find the tip:  28.25 x 0.20 = 5.67
Tax:  28.35 x 0.0625 = 1.771875
1.771875 + 5.67 + 28.35 = $35.791875.  The problem probably asks you to round your answer to the nearest cent, so $35.79
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konstantin123 [22]

Answer: In my opinion you could just shorten the number of orders so that it's not so long.

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3 years ago
A rectangle has a length of 34 inches less than 5 times it’s width. If the area of the rectangle is 867 square inches, find the
pshichka [43]

Length of the rectangle is 51 inches

<u>Solution:</u>

Given that

Length of the rectangle in 34 miles less than 5 times its width

Area of rectangle = 867 square inches

Need to determine length of the rectangle.

Let assume width of the rectangle be represented by variable x.

So 5 times width of the rectangle =5x

34 inches less than 5 times width of the rectangle = 5x – 34

As Length of the rectangle in 34 miles less than 5 times its width

=> Length of the rectangle = 5x – 34

<em><u>The formula for rectangle is given as:</u></em>

\text { area of rectangle }=length \times width

As given that Area of rectangle = 867 square inches

\begin{array}{l}{=>867=(5 x-34) \times(x)} \\\\ {=>5 x^{2}-34 x-867=0}\end{array}

On solving quadratic equation by using quadratic formula

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

In our case a = 5, b = -34 and c = -867

On substituting value of a, b and c in quadratic formula we get

\begin{array}{l}{x=\frac{-(-34) \pm \sqrt{(-34)^{2}-4 \times 5 \times(-867)}}{2 \times 5}} \\\\ {=>x=\frac{34 \pm \sqrt{18496}}{10}=\frac{34+136}{10}} \\\\ {=>x=\frac{34+136}{10}=17 \text { or } x=\frac{34-136}{10}=-10.2}\end{array}

Since x represents width, it cannot be negative, so x = 17

Length of the rectangle = 5x – 34 = 5(17) – 34 = 51

Hence length of the rectangle is 51 inches

5 0
3 years ago
In the regual nonagon shown, what is the measure of angle x?
andre [41]
The sum of the interior angles of a polygon is (n-2)*180, n being the number of sides.
a nonagon has nine sides, so the total of interior angles is (9-2)*180=7*180
this is a regular nonagon, so each interior angle has the same degrees:
7*180/9=7*20=140
the exterior angle=180-the interior angle=180-140=40
40 is the correct answer.
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3 years ago
In a shipment of new books for the library,5/12 of the books were poetry and 2/5 were biographies. The remainder of the books in
mr Goodwill [35]
5/12(poetry) + 2/5(biographies) = 25/60 + 24/60 = 49/60
60/60 - 49/60= 11/60
11/60 are the remainder of the books in the shipment.
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