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sergeinik [125]
3 years ago
6

The ratio of the sum of my favorite number and 9 to 15 is the same as the ratio of 3 to 5. What is my favorite number?

Mathematics
2 answers:
Blababa [14]3 years ago
8 0

Let

x---------> my favorite number

we know that

(x+9)/15=3/5------> 5*(x+9)=15*3-----> divide by 5 both sides----> (x+9)=3*3

x+9=9------> x=0

therefore

the answer is

My favorite number is 0

Vitek1552 [10]3 years ago
5 0

Answer:

Your favorite number is 0

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Can 6 fit into 36 and if so how many times
ratelena [41]
Yes.
This is the same thing as:
\frac{36}{6} =6

How many times can 6 go into 36?
6 times
Try:
6*6=36

So true.

Hope this helps! :D 
6 0
3 years ago
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3x^2 -5x -2=0
Kipish [7]

Answer:

Step-by-step explanation:

1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)

Two numbers that work are -6 and +1

-6 x +1 = -6

-6 + -1 = -5

2. Split the middle term into the two numbers that you found.

3x^2 -6x +x -2 = 0

I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.

3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'

3x (x-2) +1 (x-2) = 0

4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.

(3x + 1) (x-2) = 0

5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.

3x + 1 = 0              x-2 = 0

3x = -1                   x = 2

x = -1/3

6. The solutions to this equation are x = 2 and x = -1/3

6 0
3 years ago
Read 2 more answers
Discrete or continuous ​
LUCKY_DIMON [66]

i think the answer is contionous

7 0
2 years ago
Find the area of a compound shape<br><br> Can you please explain
gtnhenbr [62]

Answer:

A=292.53~m^2

Step-by-step explanation:

<u>Area of a Compound Shape</u>

The shape shown in the image is made of two shapes: Half a circle of radius 8 m and a triangle of base 24 m and height 16 m.

The area of a circle of radius r is:

A_c = \pi r^2

The area of a triangle of base b and height h is:

\displaystyle A_t=\frac{b.h}{2}

Calculate the area of the circle:

A_c = \pi 8^2

A_c = 64\pi

Area of half the circle:

A_c/2 = 32\pi~m^2

Area of the triangle:

\displaystyle A_t=\frac{24\cdot 16}{2}

A_t=192~m^2

The area of the shaded shape is:

A=32\pi~m^2+192~m^2

Substituting the value of pi:

\mathbf{A=292.53~m^2}

4 0
3 years ago
What is the value of x? x+1/3=9 Enter your answer in the box in simplest form.
Marina86 [1]
X=26/3
Wide it's 9/1-1/3
So times the 9/1 by 3
27/3-1/3
26/3
7 0
3 years ago
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