What percent of 600 is 12

1 answer:

4 0

<span>We can say that 600 represents 100% and 12 represents x %. Using the proportion: 600 : 12 = 100 : x. That can also be written as: 600/12 =100/x. Then we will multiply across the known corners and then divide by the third number. 600 x = 12 * 100 600 x = 1,200 x = 1,200 : 600, x = 2. Answer: 12 is 2% of 600.</span>

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the eccentricity of a hyperbola is defined as e=c/a. find an equation with vertices (1,-3) and (-3,-3) and e=5/2

Ksivusya [100]

Answer:

$\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1$ .

Step-by-step explanation:

If (α, β) are the coordinates of the center of the hyperbola, then its equation of the hyperbola is $\frac{(x - \alpha )^{2} }{a^{2} } - \frac{(y - \beta )^{2} }{b^{2} } = 1$ .

Now, the vertices of the hyperbola are given by (α ± a, β) ≡ (1,-3) and (-3,-3)

Hence, β = - 3 and α + a = 1 and α - a = -3

Now, solving those two equations of α and a we get,

2α = - 2, ⇒ α = -1 and

a = 1 - α = 2.

Now, eccentricity of the hyperbola is given by $b^{2} = a^{2}(e^{2} - 1) = 4[(\frac{5}{2} )^{2} -1] = 21$ {Since $e = \frac{5}{2}$ given}

Therefore, the equation of the given hyperbola will be

$\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1$ . (Answer)

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3 years ago

How many centiliters are in 6.02 decaliters?

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1 centiliter is .01 of a liter.

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6.02 decaliter is also 6020 centiliters

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3 years ago

Zak buys 6 gallons of fruit punch. He has

sesenic [268]

$8.70 is the total cost without the coupons. He gets 6 gallons. He gets $0.55 off per gallon.

To find the total price Zak got off, multiply 6 and $0.55. 6 x $0.55 = $3.30, so he got $3.30 off.

To find the total price. Add the total cost without the coupons + the amount the coupons saved him.
$8.70 + $3.30 = $12

To find the price per one gallon, divide the total price / number of gallons

$12/6 = $2. The regular price is $2 a gallon

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2 years ago

Elaine has a piece of wire that is 2.16 m long. John has a piece of wire that is 2.061 m long. Who is piece of wire is longer? H

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Elaine's would be because.16 is closer to being a whole than .016

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3 years ago

Arrange the fractions in increasing order 7/15, 2/3, 11/12, 5/9

RoseWind [281]

To compare fraction sizes, you have to make sure the denominators of the fractions are the same. You must find a number that is a multiple of all the denominators we currently have (15, 3, 12, 9)
The smallest number that fits this is 540
Now you must multiply the numerator and denominator of each fraction by the number that makes the denominator 540
So, for 7/15 , we multiply the top and bottom by 36, since you need to multiply 15 by 36 to get 540. This means the fraction you end up with is 252/540
For 2/3, we multiply the top and bottom by 180, since you need to multiply 3 by 180 to get 540.This means the fraction you end up with is 360/540
For 11/12, we multiply the top and bottom by 45, since you need to multiply 12 by 45 to get 540. This means that the fraction you end up with is 495/540
For 5/9, we must multiply the top and bottom by 60, since you need to multiply 9 by 60 to get 540. This means that the fraction you end up with is 300/540

Now that the hard part is out of the way, you have four fractions: 252/540, 360/540, 495/540 and 300/540. Now, you can arrange the fractions in ascending order just based on their numerator.
So, the order would be: 252/540, 300/540, 360/540, 495/540

Now, for the final step, just convert them back to the original fractions.
So, the final answer is:
7/15, 5/9, 2/3, 11/12

Hope I helped!! xx

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3 years ago

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