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Aneli [31]
3 years ago
13

12 is 6% of what number? *

Mathematics
2 answers:
olchik [2.2K]3 years ago
8 0

Answer:

12 is 6% of 200

Step-by-step explanation:

Converted 6% into decimal form  

6/

100  

=  0.06

divided 12 by 6% in decimal form= 200  

multiplied 200 by 6% in decimal to know for sure that 6% of 200 is 12

200  ×  0.6  =12

Hopes this helps!

-Rin aka:GreenPlant22

Galina-37 [17]3 years ago
4 0

Answer:

200

6% of 200 is 12

Step-by-step explanation:

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What is a common factor for x^2-9 and x^2-5x+6
trapecia [35]

Answer:

y=60x-15x^2

Step-by-step explanation:

this one opens downwards

5 0
3 years ago
Read 2 more answers
Producers will make 1000 refrigerators available when the unit price is $280.00. At a unit price of $400, 5000 refrigerators wil
Kobotan [32]

Answer:

For linear equations we use:

p=mx+b   ------  (1)

Now we have the following coordinates:

(x1,p1)= (1000,280) and (x2, p2)=(5000,400)

First we need slope (m)

m= (400-280)/(5000-1000)

= 120/4000=0.03

Now we will plug the value of m in the first equation

280=0.03(1000)+b

=> 280=30+b

=> b = 250

Now plug into p=mx+b using only m=0.03 and b=250

p=0.03x+250

When the unit price is $440, we can plug in 440 in for p;

440=0.03x+250

=> 0.03x=440-250

=> 0.03x=190

=> x = 6333 refrigerators

The lowest price at which  a refrigerator will be marketed, we can find this by plugging x = 0 in p=mx+b.

p=0.03(0)+250

=> p = $250

6 0
3 years ago
Find the vertex of the parabola formed by the following quadratic function: y = 3x^2 – 6x + 2
storchak [24]
Vertex form is y=a(x-h)^2+k, so we can rearrange to that form...

y=3x^2-6x+2  subtract 2 from both sides

y-2=3x^2-6x  divide both sides by 3

(y-2)/3=x^2-2x, halve the linear coefficient, square it, add it to both sides...in this case:  (-2/2)^2=1 so

(y-2)/3+1=x^2-2x+1  now the right side is a perfect square

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

(y+1)/3=(x-1)^2  multiply both sides by 3

y+1=3(x-1)^2  subtract 1 from both sides

y=3(x-1)^2-1  so the vertex is:

(1, -1)

...

Now if you'd like you can commit to memory the vertex point for any parabola so you don't have to do the calculations like what we did above.  The vertex of any quadratic (parabola), ax^2+bx+c is:

x= -b/(2a),   y= (4ac-b^2)/(4a)

Then you will always be able to do a quick calculation of the vertex :)
7 0
3 years ago
If you make $12 an hour and get a 10% decrease in pay. what is your new hourly pay?
aleksklad [387]

Answer:

$10.80

Step-by-step explanation:

1. Multiply $12 X 10%

2. convert 10% to decimal = .10

3. 12 X .10 = 1.20

4. Subtract 1.20 from 12

5. 12-1.20 = 10.80

4 0
3 years ago
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A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?
Luden [163]

Given:

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.

To find:

The volume of the figure.

Solution:

Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.

Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.

If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.

Volume of a cone is

V=\dfrac{1}{3}\pi r^2h

where, r is radius of the base and h is vertical height of the cone.

Putting r=6 and h=9, we get

V=\dfrac{1}{3}\pi (6)^2(9)

V=\pi (36)(3)

V=108\pi

Therefore, the volume of the figure is 108\pi sq. units.

7 0
3 years ago
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