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bulgar [2K]
3 years ago
5

A florist makes a bouquet using 4 roses, 5 carnations, and 3 daffodils.

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
7 0

Answer:

The ratio of carnations to daffodils in three different ways are 5/3, 5:3 and 5 to 3.

Step-by-step explanation:

Given information:

Number of roses = 4

Number of carnations = 5

Number of daffodils = 3

We need to write the ratio of carnations to daffodils in three different ways.

The three different ways to write as ratio are

1. Fraction

\frac{x}{y}

2. Ratio using colon

x:y

3. Word form

x to y

The ratio of carnations to daffodils  is

\frac{\text{Number of carnations}}{\text{Number of daffodils}}=\frac{5}{3}

It can be written as 5:3 and 5 to 3.

Therefore the ratio of carnations to daffodils in three different ways are 5/3, 5:3 and 5 to 3.

Sedbober [7]3 years ago
3 0

Answer:

5:3

5 to 3

3/5

There are three ways to write numbers as ratios

As a ratio:

x:y

As a word sentence:

x to y

As a fraction:

x/y

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Answer:

The radius is 3\sqrt{11}.

Step-by-step explanation:

The standard equation for a circle is (x-h)^2+(y-k)^2=r^2.

I like to call this form center-radius form because it tells you the center (h,k) and the radius r.  

So we put it in this form to determine r, the radius, which is the desired value here.

We will need to complete the square.

Thankfully there is a formula to take more thinking out of the process:

x^2+dx+(\frac{d}{2})^2=(x+\frac{d}{2})^2.

Let's begin:

x^2+y^2-6x+8y=74

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Now time to being completing the square. Keep in mind whatever you add to one side you need to add the other side to keep the equation equivalent to what it once was.

x^2-6x+(\frac{-6}{2})^2+y^2+8y+(\frac{8}{2})^2=74+(\frac{-6}{2})^2+(\frac{8}{2})^2

Use the other side of the formula I mentioned for completing the square:

(x+\frac{-6}{2})^2+(y+\frac{8}{2})^2=74+(-3)^2+(4)^2

(x-3)^2+(y+4)^2=74+9+16

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Step-by-step explanation:

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