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lorasvet [3.4K]
3 years ago
7

After eating dinner at a restaurant Lucy bill before tak is $48.00 the sales tax rate is 8% Lucy decided to leave a 20% tip for

the waiter based on the pre tax amount how much money will Lucy pay total including tax and the tip?
Mathematics
1 answer:
posledela3 years ago
7 0

Answer:

do you have any answers to choose from?

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I’m pretty sure it is 1/36!
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NEED HELP ASAP <br> find the volume of the cone
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3619.11 or 3619.1

Step-by-step explanation:

i don't really know how to explain but that's what i got

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explain step by step how to solve. please point out any similarities in the steps used for each question
Mamont248 [21]
#1
m∠A=180 - 115 - 24 = 41°

By the law of sines:

b/sinB = a/sinA  ⇒  
b = (a*sinB)/sinA = (21*sin24°)/sin41° = (21*0.4067)/0.656 ≈ 13

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (21*sin115°)/sin41° = (21*0.9063)/0.656 ≈ 29


#2
m∠C=180 - 119 - 27 = 34°

By the law of sines:

b/sinB = a/sinA  ⇒  
b = (a*sinB)/sinA = (13*sin119°)/sin27° = (13*0.8746)/0.454 ≈ 25

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (13*sin34°)/sin27° = (13*0.5592)/0.454 ≈ 16


#3
m∠C=180 - 57 - 37 = 86°

By the law of sines:

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (11*sin86°)/sin57° = (11*0.9976)/0.8387 ≈ 13.1
6 0
3 years ago
What is the ratio of yellow sections to blue sections, in lowest terms?
ch4aika [34]

Answer:

the answer is B. 5 to 3

Step-by-step explanation:

bevause it is 5 yellows and 3 blues

4 0
3 years ago
Two car washes charge a basic fee plus a fee based on the number of extras that
mezya [45]

<u><em>Answer:</em></u>

a. The first car wash charges more for the basic fee

b. 6 extras must be chosen for the total cost to be the same

<u><em>Explanation:</em></u>

The complete question is shown in the attached diagram

<u>The general form of the linear equation is:</u>

y = mx + c where m is the slope and c is the y-intercept

The y-intercept represents the initial value which, in the given problem, is the basic fee

<u>For the first car wash, we are given the equation:</u>

y₁ = x + 9

<u>Now, we will start by getting the equation for the second car wash:</u>

<u>1- getting the slope:</u>

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{12-9}{4-2}=1.5

The equation now is: y = 1.5x+c

<u>2- getting the y-intercept:</u>

To get the y-intercept, we will simply choose a point, substitute with it in the equation from 1 and solve for c. I will use point (2,9)

y = 1.5 x + c

9 = 1.5 (2) + c ............> c = 6

<u>The equation for the second car wash is:</u>

y₂ = 1.5x + 6

<u>Part 1:</u>

As mentioned above, the y-intercept represents the basic fee

<u>For the first car wash:</u>

y₁ = x + 9 ................> The basic fee is $9

<u>For the second car wash:</u>

y₂ = 1.5x + 6 ..............> The basic fee is $6

It is clear that the basic fee for the first car wash charges more for the basic fee

<u>Part 2:</u>

In both equations, x represents the number of extras. We want the total cost to be the same. So, we will simply equate y₁ and y₂ and solve for x

x + 9 = 1.5x + 6

1.5x - x = 9 - 6

0.5x = 3

x = 6

<u>Let's verify:</u>

<u>For x = 6:</u>

y₁ = x + 9 = 6 + 9 = $15

y₂ = 1.5x + 6 = 1.5(6) + 6 = $15

Total cost is the same. This means that 6 extras must be chosen for the total cost to be the same

Hope this helps :)

6 0
3 years ago
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