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OleMash [197]
3 years ago
6

Daniel left a $9 tip for the waiter at a restaurant. If the tip was 15 percent of the bill, how much was the bill?

Mathematics
2 answers:
Zarrin [17]3 years ago
7 0
The bill was 60 dollars
Juliette [100K]3 years ago
4 0
15% = .15
add 1.00 to include the original amount

9 *(1+0.15) = 10.35
so $10.35
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ABCDEFGH is a regular octagon. The minimum degree of rotation by which this octagon can map onto itself is (30 ; 45 ; 90 ; 120 °
Damm [24]
First one is 45 the second one is 2             
4 0
3 years ago
Craig went out to a restaurant for dinner. He tipped 16% of his bill, which brought the sum of the dinner bill plus the tip to $
alexira [117]
$22.50

You can get this by dividing the new total by 116%, which is how much of the bill was paid. 
4 0
3 years ago
Which equation is made true by the opposite angles theorem?
Oksana_A [137]

Solution

Step 1

The opposite angles of a parallelogram are equal:

Step 2

85\text{ + y  =  3y - 15}

The equation is made true by the opposite angles theorem is

85 + y = 3y - 15

or

y = 50

4 0
1 year ago
Please solve the problem.
Deffense [45]
OK.  I did it, and I have the solution.
_____________________________________

The length of the deck is  (5 + 2x) .
The width of the deck is   (4 + 2x) .

If the deck didn't have that big hole in the middle where the pool is,
then its area would be

                 (5 + 2x) · (4 + 2x) .

When you multiply that all out, you get    Area = 4x² + 18x + 20

and the question tells us that the area of the whole big rectangle is 90 yds² .
So we can write

                                             4x² + 18x + 20  =  90 .

Subtract 90 from each side:    4x² + 18x - 70  =  0
Divide each side by 2 :           2x² + 9x - 35  =  0

You can use the quadratic equation to solve that and find out that
x = 2.5 yards, and that's what the question is asking you.
___________________________________________________

That makes the deck  10 yds high and 9 yds wide.

Total area of the whole big rectangle, (deck + pool ),  =  90 yds².
 
3 0
3 years ago
Right triangle abc has one leg of length 6 cm, one leg of length 8 cm and a right angle at
Sauron [17]
Answer:
side length of the square = 10 cm

Explanation:
The attached image shows a diagram representing the scenario described in the problem.
Taking a look at this diagram, we can note that the side length of the square is equal to the hypotenuse of the right-angled triangle
Therefore, we can get the side of the square by calculating the length of the hypotenuse using Pythagorean theorem as follows:
(hypotenuse)² = (length of first leg)² + (length of second leg)²
(hypotenuse)² = (8)² + (6)²
(hypotenuse)² = 64 + 36
(hypotenuse)² = 100
hypotenuse = √100
hypotenuse = 10 cm

This means that the length of the side of the square is also 10 cm

Hope this helps :)

6 0
3 years ago
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