Ask question

Ask question

All categories

WINSTONCH [101]

3 years ago

10

Teresa's restaurant bill comes to $29.99 before tax. If the sales tax is 6.25% and she tips the waiter 20%, what Is the total co

st of the meal?

1 answer:

tamaranim1 [39]3 years ago

5 0

My answer would be 39$ but i kept rounding it up.

You might be interested in

On a map, there are 3 inches between two cities. The actual distance between the cities is 18 miles. What was the scale used? Pl

stira [4]

Answer is 1 in=6 miles, answer A.

5 0

3 years ago

A university is building a new student center that is two- thirds the distance from the arts center to the residential complex.

Natasha2012 [34]

Answer:

$C = (\frac{21}{5},\frac{33}{5})$

Step-by-step explanation:

Given

Points: (1, 9) and (9, 3)

Ratio = 2/3

Required

Determine the coordinate of the center

Represent the ratio as ratio

$Ratio = 2:3$

The new coordinate can be calculated using

$C = (\frac{mx_2 + nx_1}{n + m},\frac{my_2 + ny_1}{n + m})$

Where

$(x_1,y_1) = (1, 9)$

$(x_2, y_2) = (9, 3)$

$m:n = 2:3$

Substitute these values in the equation above

$C = (\frac{2 * 9 + 3 * 1}{3 + 2},\frac{2 * 3 + 3 * 9}{2 + 3})$

$C = (\frac{18 + 3}{5},\frac{6 + 27}{5})$

$C = (\frac{21}{5},\frac{33}{5})$

Hence;

<em>The coordinates of the new center is </em> $C = (\frac{21}{5},\frac{33}{5})$ <em></em>

7 0

3 years ago

WHAT ARE THE SPECIFIC RULES FOR PROVING SIMILARITY IN TRIANGLES? EXPLAIN.

weeeeeb [17]

Answer:

AAA (Or even just two angles work too, since the last has to be the same no matter what) ASA and SSS

Step-by-step explanation:

I believe this is the same as before? As far as I know these are the main rules for proving similarity. (AAS and A** do not exist (Brainly won't let me say the two Ss), make sure no trick questions get you ;p)

I'm not sure if what you needed earlier was the relationships between angles to find them? Like to find Exterior Angles subtract <C from 180 = <EA?

4 0

3 years ago

I have the formula <br><br> A fraction • π r^2

MatroZZZ [7]

Answer:

22.2 ft²

Step-by-step explanation:

The area (A) of a sector is calculated as

A = area of circle × fraction of circle

= πr² × $\frac{50}{360}$

= π × 7.13² × $\frac{5}{36}$

= $\frac{7.13^2(5)\pi }{36}$ ≈ 22.2 ft² ( nearest tenth )

4 0

4 years ago

A survey of 1,107 tourists visiting Orlando was taken. Of those surveyed:

Ira Lisetskai [31]

Answer:

602 tourists visited only the LEGOLAND.

Step-by-step explanation:

To solve this problem, we must build the Venn's Diagram of this set.

I am going to say that:

-The set A represents the tourists that visited LEGOLAND

-The set B represents the tourists that visited Universal Studios

-The set C represents the tourists that visited Magic Kingdown.

-The value d is the number of tourists that did not visit any of these parks, so: $d = 58$

We have that:

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

In which a is the number of tourists that only visited LEGOLAND, $A \cap B$ is the number of tourists that visited both LEGOLAND and Universal Studies, $A \cap C$ is the number of tourists that visited both LEGOLAND and the Magic Kingdom. and $A \cap B \cap C$ is the number of students that visited all these parks.

By the same logic, we have:

$B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)$

$C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

This diagram has the following subsets:

$a,b,c,d,(A \cap B), (A \cap C), (B \cap C), (A \cap B \cap C)$

There were 1,107 tourists suveyed. This means that:

$a + b + c + d + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 1,107$

We start finding the values from the intersection of three sets.

The problem states that:

36 tourists had visited all three theme parks. So:

$(A \cap B \cap C) = 36$

72 tourists had visited both LEGOLAND and Universal Studios. So:

$(A \cap B) + (A \cap B \cap C) = 72$

$(A \cap B) = 72 - 36$

$(A \cap B) = 36$

79 tourists had visited both the Magic Kingdom and Universal Studios

$(B \cap C) + (A \cap B \cap C) = 79$

$(B \cap C) = 79 - 36$

$(B \cap C) = 43$

68 tourists had visited both the Magic Kingdom and LEGOLAND

$(A \cap C) + (A \cap B \cap C) = 68$

$(A \cap C) = 68 - 36$

$(A \cap C) = 32$

258 tourists had visited Universal Studios:

$B = 258$

$B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)$

$258 = b + 43 + 36 + 36$

$b = 143$

268 tourists had visited the Magic Kingdom:

$C = 268$

$C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

$268 = c + 32 + 43 + 36$

$c = 157$

How many tourists only visited the LEGOLAND (of these three)?

We have to find the value of a, and we can do this by the following equation:

$a + b + c + d + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 1,107$

$a + 143 + 157 + 58 + 36 + 32 + 43 + 36 = 1,107$

$a = 602$

602 tourists visited only the LEGOLAND.

6 0

4 years ago