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storchak [24]
2 years ago
12

For parties of six or more, a restaurant adds a 20% gratuity (or tip). If a

Mathematics
1 answer:
adelina 88 [10]2 years ago
6 0

Answer: tThe total dinner bill with  tip = $177.90

Step-by-step explanation:

Given: Dinner bill = $148.25

Tip percent = 20%= 0.20

Total dinner bill = Dinner bill + Tip percent × (Dinner bill)

Total dinner bill = $ (148.25+0.20×148.25)

Total dinner bill = $ (148.25(1.20))

Total dinner bill = $177.90

Hence, the total dinner bill with  tip = $177.90

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A square shaped patio has an area of 256 ft 2 what are the dimensions of the patio
Romashka-Z-Leto [24]

Step-by-step explanation:

√256

it's a 16in x16in patio

all four sides are 16

3 0
3 years ago
What do you already know about linear relationships?
inna [77]

Answer:

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.

8 0
3 years ago
There are 9 people that have a conversation with each other exactly one time.
Sedbober [7]

The question is an illustration of arithmetic sequence.

<em>The number of conversation for 19 people is 171</em>

<u />

<u>(a) 9 people</u>

Total = \frac{9 \times 8}{2}

9 represents the number of people

8 represents the number of conversation each person had

2 represents the number of people having a conversation at once (i.e 2 people at once)

<u>(b) 19 people</u>

We have:

n = 19

The number of conversation is:

Total = \frac{n \times (n -1)}{2}

So, we have:

Total = \frac{19 \times (19 -1)}{2}

Total = \frac{19 \times 18}{2}

Total = 19 \times 9

Total = 171

Hence, the number of conversation for 19 people is 171

Read more about arithmetic sequence at:

brainly.com/question/18109692

5 0
2 years ago
at maximum speed, an airplane travels 1720 miles against th wind in 5 hours. Flying with the wind, the plane can travel the same
iragen [17]

Answer:

x = 387

Step-by-step explanation:

The wind acts in the opposite direction to the plane when the time is longer.

The wind acts in the same direction as the plane when the time is shorter.

Equation

d = r*t

Givens

  • d = 1720
  • x = plane's speed
  • y = wind speed
  • t1 = 5 hours
  • t2 = 4 hours.

Substitution

  • d = (x + y) * t
  • 1720 = (x + y) * 4
  • 1720 = (x - y) * 5

Since the two distances are the same, you can equate the right hand sides.

  • (x + y) * 4 = (x - y)*5              Remove the brackets.
  • 4x + 4y = 5x - 5y                  Add 5y to both sides
  • 4x + 4y + 5y = 5x - 5y + 5y  Combine all the terms.
  • 4x + 9y = 5x                          Subtract 4x from both sides
  • 9y + 4x - 4x = 5x - 4x           Combine
  • 9y = x

Now use one of the given equations with the distance

  • 1720 = (x + y)*4           Substitute 9y for x
  • 1720 = (9y + y) *  4      Combine
  • 1720 = 10y * 4             Multiply the right
  • 1720 = 40y                  Divide by 40
  • 1720/40 = 40y/40      Do the division
  • 43 = y                          y = wind speek
  • 9y = x                          x = 9*y  
  • 9*43 = x
  • x = 387 miles per hour.
4 0
3 years ago
Evaluate 4(5×1÷20). Name the property used in each step.
vekshin1
Start with the brackets. Then do 5 multiply 1 which is 5 then divide that 5 from 20 which gets you 4. Times the outside of the brackets with the inside which will give you the answer of 16
4 0
2 years ago
Read 2 more answers
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