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Yuliya22 [10]
3 years ago
12

After eating dinner at a restaurant your bill was $56. You plan to leave a 20% tip. What will your total cost be? (Hint: find th

e tip amount first).
i need the answer soon!!
Mathematics
1 answer:
DerKrebs [107]3 years ago
3 0

Answer: $67.20

Step-by-step explanation:

56 × 0.2 = 11.2

11.2 + 56 = $67.20

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Does the chart below represent a proportional relationship? What is the rate of change?
Lilit [14]

This chart represents a proportional relationship. The rate of change will be 4.

<h3>What is the constant of proportionality?</h3>

Firstly, there is a proportional relationship.

Two values x  and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called the constant of proportionality.

Given;

x y

1 4

2 8

3 12

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Here, x = ky

put the first value

k = 1/4

This chart represents a proportional relationship.

So the rate of change will be

Rate = \dfrac{y_2 - y_1}{x_2 - x_1}\\\\Rate = \dfrac{8 - 4}{2 - 1}\\\\Rate = 4

Learn more about proportional ;

brainly.com/question/20048815

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2 years ago
In the diagram below, GH is parallel to DE . If GH is 3 more than EH FH=10, and DE=12 find the length of EH. Figures are not nec
steposvetlana [31]

Answer: 5

Step-by-step explanation:

Since \overline{GH} \parallel \overline{DE}, by the corresponding angles theorem, \angle FGH \cong \angle FDE, \angle FHG \cong \angle FED. This means \triangle FGH \sim \triangle FDE by AA.

As corresponding sides of similar triangles are proportional,

\frac{10}{x+3}=\frac{10+x}{12}\\(10)(12)=(10+x)(x+3)\\120=x^{2}+13x+30\\x^{2}+13x-90=0\\(x+18)(x-5)=0\\x=-18, 5
However, as distance must be positive, we consider the positive solution, x=5.

Therefore, the answer is <u>5</u>

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Step-by-step explanation:

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