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2 years ago

How can you use the GCF of the numerator and the denominator to write a fraction in simplest form?

1 answer:

7 0

Take an example

14 / 20

the GCF of 14 and 20 = 2 ( 20 = 2^2 * 5 and 14 = 2*7 so 2 is the GCF)

so we can divide top and bottom of the fraction by 2 to give 7/10 = simplest form

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9c-3c=48 what does c equal

BabaBlast [244]

Answer: c = 8

Step-by-step explanation:

Simplifying

9c + -3c = 48

Combine like terms: 9c + -3c = 6c

6c = 48

Solving

6c = 48

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Divide each side by '6'.

c = 8

Simplifying

c = 8

5 0

2 years ago

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Two airplanes are flying in the air at the same height. Airplane A is flying east at 300mi/h and airplane B is flying north at 2

Ipatiy [6.2K]

Answer:

$\frac{dAB}{dt}=340 mil/h$

Step-by-step explanation:

The change of distance over time of the plain A is 300 mi/hour and 200 mi/hour for plane B. O is the point of the airport.

So, the distance from A to O AO = 90 miles and BO = 120 miles.

Now, we have a right triangle here. We can use the Pythagorean theorem, so the distance between the planes will be:

$AB^{2} =AO^{2}+BO^{2}$ (1)

$AB =\sqrt{AO^{2}+BO^{2}}=$

$AB =\sqrt{90^{2}+120^{2}}=150 miles$

If we take the derivative of the equation (1) we could find the change of the distance between planes.

$2AB\frac{dAB}{dt}=2AO\frac{dAO}{dt}+2BO\frac{dBO}{dt}$

$2*150\frac{dAB}{dt}=2*90*300+2*120*200=102000 mil/h$

$\frac{dAB}{dt}=\frac{102000}{150*2}$

Finally,

$\frac{dAB}{dt}=340 mil/h$

I hope it helps you!

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2 years ago

?? can someone help plzzz

Stolb23 [73]

Answer:52,425

Step-by-step explanation: If you add all of the positive assets you end up with 15,050 but if you add 71,975 you get exactly 87,025 but when you add the liabilities you get -19,550 when you add those two numbers you get 52,425

Hope this helps!

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3 years ago

What is the factored form of 8(x + 1/2) and 10(x + 2/5)?

Kitty [74]

Answer:

8x+4 and 10x+4

Step-by-step explanation:

Using the distributive property, you times 8 by x and then 8 by one half: 8x & 8*1/2. 8x+4

You then do the same for 10(x+2/5): 10x and then 10 divided by 5 and times by 2. This leaves you with 10x+4.

I hope this helped. :)

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3 years ago

1. Maria paid $160 for a TV screen which has a marked price of $200. what is the percentage discount?

Rama09 [41]

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3 years ago

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