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3 years ago

A restaurant offers three sizes of coffee and four differerſt types of coffee.

Mathematics

1 answer:

Kruka [31]3 years ago

3 0

<h3>Answer: 864</h3>

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Work Shown:

There are,

3 sizes of coffee
4 types of coffee
2 choices for cream (you pick it or you leave it out)
2 choices for sugar (same idea as the cream)

This means there are 3*4*2*2 = 12*4 = 48 different coffees. We'll use this value later, so let A = 48.

There are 6 bagel options. Also, there are 3 choices in terms of if you order the bagel plain, with butter, or with cream cheese. This leads to 6*3 = 18 different ways to order a bagel. Let B = 18.

Multiply the values of A and B to get the final answer

A*B = 48*18 = 864

There are 864 ways to order a coffee and bagel at this restaurant.

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If you're curious why you multiply the values out, consider this smaller example.

Let's say you had 3 choices of coffee and 2 choices for a bagel. Form a table with 3 rows and 2 columns. Place the different coffee choices along the left to form each row. Along the top, we'll have the two different bagel choices (one for each column).

This 3 by 2 table leads to 3*2 = 6 individual table cells inside. Each cell in the table represents a coffee+bagel combo. This idea is applied to the section above, but we have a lot more options.

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Describe the error of regression for each example l.

Basile [38]

it isn't lined up to x straight while it's crooked

3 0

3 years ago

Type the correct answer in each box.

s344n2d4d5 [400]

The inverse of the function are respectively; f⁻¹(3) = 2 and f⁻¹(8) = 8.5

<h3>How to find the inverse of a Function?</h3>

The formula to find the equation of this function using two coordinates is;

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

Using the first 2 coordinates, we have;

(y - 1)/(x + 1) = (3 - 1)/(2 + 1)

(y - 1)/(x + 1) = 2/3

3y - 3 = 2x + 2

3y = 2x + 5

y = ¹/₃(2x + 5)

Thus, the inverse is;

f⁻¹(x) = (3x - 5)/2

Thus;

f⁻¹(3) = (3*3 - 5)/2

f⁻¹(3) = 2

Similarly;

f⁻¹(x) = (3x - 5)/2

Thus;

f⁻¹(8) = (3*8 - 5)/2

f⁻¹(8) = 8.5

Read more about Inverse of a Function at; brainly.com/question/11735394

#SPJ1

6 0

2 years ago

I need help with this!

7nadin3 [17]

Answers:

False
True
True
False
True
False

===============================================

Explanations:

If we can write a number as a ratio (or fraction) of two whole numbers, then that number is considered rational. The denominator can never be 0. In the case of 6/4, this is a rational number. Therefore, the statement "6/4 is irrational" is false.
This is a true statement. We cannot write sqrt(2) as a fraction of two integers. The proof of this is fairly lengthy, but one way is to use a proof by contradiction to show that sqrt(2) = a/b is impossible. Since we cannot make sqrt(2) into a ratio of two integers, we consider it irrational.
This is a true statement. Any terminating decimal is always rational. In this case, 1.3 = 13/10.
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Any integer is rational. We can write the integer over 1. So something like -16 is the same as -16/1, showing how it is rational. So that's why this statement is true.
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4 0

3 years ago

Tarun has 4 more than the twice the number of tshirts Deepak has.Mahesh has 2 more than thrice the number of T-shirts that Tarun

Dafna11 [192]

Answer:

Deepak: 4 t-shirts,

Tarun: 12 t-shirts,

Mahesh: 14 t-shirts.

Step-by-step explanation:

Let x represent number of t-shirts that Deepak has.

Please consider the complete question.

Tarun has 4 t-shirt more than twice the number of T-shirts Deepak has. Mahesh has 2 more than thrice the number of T-shirts Deepak has. If the ratio of the t-shirt that Tarun and Mahesh have is 6 : 7, find out the number of the t-shirt each of them has.

Since Tarun has 4 t-shirt more than twice the number of T-shirts Deepak has, so the number of t-shirts that Tarun has would be $2x+4$ .

We are also told that Mahesh has 2 more than thrice the number of T-shirts Deepak has. So the number of t-shirts that Mahesh has would be $3x+2$ .

Since the ratio of the t-shirt that Tarun and Mahesh have is 6 : 7, so we can represent this information in an equation as:

$\frac{2x+4}{3x+2}=\frac{6}{7}$

Cross multiply:

$6(3x+2)=7(2x+4)$

$18x+12=14x+28$

$18x-14x+12-12=14x-14x+28-12$

$4x=16$

$x=\frac{16}{4}=4$

Therefore, Deepak has 4 t-shirts.

The number of t-shirts that Tarun has would be $2x+4\Rightarrow 2(4)+4=4+4=12$

Therefore, Tarun has 12 t-shirts.

The number of t-shirts that Mahesh has would be $3x+2\Rightarrow 3(4)+2=12+2=14$

Therefore, Mahesh has 14 t-shirts.

5 0

4 years ago

A square has a side that measures 55 units. What is the area of a circle with a circumference that equals the perimeter of the s

Taya2010 [7]

<h3><u>Given</u>:-</h3>

$\rightarrow$ Side of square = 5.5 units.

$\rightarrow$ Circumference of circle = perimeter of square.

$\rightarrow$ Area of circle.

<h3><u>Solution</u>:-</h3>

$\rightarrow$ To find the area of circle firstly we have to find the perimeter of the square, then we will find the radius of circle and after that area of circle. So, let's begin:

$\rightarrow$ Perimeter of square = $\sf{4×side}$ (putting the value of side from the above given)