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spin [16.1K]
3 years ago
9

Brayden was out at a restaurant for dinner when the bill came. His dinner came to $22. After adding in a tip, before tax, he pai

d $28.60. Find the percent tip.
Mathematics
2 answers:
Otrada [13]3 years ago
7 0

Answer:

30% tip

Step-by-step explanation:

First, we need to find out how much money Brayden left for the tip. To find this, we'll subtract the initial bill from the remaining bill. It will look like this:

$28.60 - $22 = $6.60

We now know that Brayden left a tip of $6.60. Next, we need to set up a proportion to find out what percentage that is. For the first fraction, we need to plug in the tip and the initial bill. We'll use <em>t </em>to represent the tip, and<em> w </em>to represent the whole<em>. </em>It will look like this:

\frac{6.60t}{22w}

Next, we need to set up the second fraction of the proportion. We know that every percent is out of 100, so we know that 100 will be our bottom number. We are solving for the percentage out of 100, so we will use <em>x </em>in its place. The final proportion will look like this:

\frac{6.60t}{22w} = \frac{x}{100w}

Finally, we'll cross multiply and divide to get the final answer. First, multiply 6.60 by 100 to get 660. Finally, divide 660 by 22 to get a final answer of 30%. Brayden left a 30% tip on the bill. The final calculations are as follows:

6.60 X 100 = 660

660 / 22 = 30%

otez555 [7]3 years ago
3 0

Answer:

30%

Step-by-step explanation:

28.60-22=6.60

6.60/22=0.3

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Step-by-step explanation:

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3 years ago
Two isosceles triangles have the same base length. the legs of one of the triangles are twice as long as the legs of the other.
Makovka662 [10]
An isosceles triangle is a type of triangle where 2 sides are equal.

Picture out 2 triangles with the same base length. 
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To put it into variables, let:
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     A = the length of one leg the smaller triangle
    2A = the length of one leg of the bigger triangle

Given:    Perimeter of smaller triangle = 23cm
              Perimeter of bigger triangle = 43cm

Recall the formula for solving the perimeter of a triangle:
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where, A, B, and C are the legs of the triangle

Since the triangle involved is an isosceles triangle, therefore, we can say that
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Substituting the given perimeter value to the formula. 
   
23cm = 2A + B                    ⇒   equation 1  (smaller triangle)
43cm = 2(2A) + B                ⇒   equation 2  (bigger triangle)

Simplifying equation 2.
                                    43cm = 4A + B
  (rearranging)             B = 43cm - 4A        ⇒ equation 3

Substituting equation 3 to equation 1:
   (equation 1)              23cm = 2A + B
                                    23cm = 2A + (43cm - 4A)
                                    23cm = -2A + 43cm
                                    2A = 43cm - 23cm
                                    2A = 20cm  ⇒   length of the leg of the bigger triangle
                                     A = 10cm   ⇒   length of the leg of the smaller triangle

To solve for the base length, just substitute the value of A to equation 3
     (equation 3)       B = 43cm - 4A
                               B = 43cm - 4(10cm)
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Final Answer:

• For the smaller triangle, the length of the sides are 10cm, 10cm, and 3cm
• For the bigger triangle, the length of the sides are 20cm, 20cm, and 3cm
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Therefore, the coordinates of the red dot is (5, 2).

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