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Setler [38]
3 years ago
6

Help! this is urgent!

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

Answer:

4

Step-by-step explanation:

So we know that Jordan bought 12 balls and Annika bought 16. We also know that they came is packages that each contain some number of balls. We are trying to find the greatest possible number of tennis balls in each package.

The greatest possible number of tennis balls in each package would be the greatest common factor of 12 and 16.

To find the greatest common factor of 12 and 16, lets first find all of the factors of 12 and the factors of 16.

12: 1, 2, 3, 4, 6, 12

16: 1, 2, 4, 8, 16

From looking at the factors of 12 and 16, we can find that the greatest common factor of 12 and 16 is 4. Therefore, the greatest possible number of tennis balls in each package would be 4.

I hope you find my answer and explanation to be helpful. Happy studying.

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Step-by-step explanation:

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What is the solution to the equation
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therefore
D:x\in\left< -\dfrac{5}{4};\ 6\right>

\sqrt{4t+5}=3-\sqrt{t+5}\ \ \ |^2\\\\(\sqrt{4t+5})^2=(3-\sqrt{t+5})^2\ \ \ |use:(a-b)^2=a^2-2ab+b^2\\\\4t+5=3^2-2\cdot3\cdot\sqrt{t+5}+(\sqrt{t+5})^2\\\\4t+5=9-6\sqrt{t+5}+t+5\ \ \ \ |-t\\\\3t+5=14-6\sqrt{t+5}\ \ \ \ |-14\\\\3t-9=-6\sqrt{t+5}\ \ \ \ |change\ signs
9-3t=6\sqrt{t+5}\ \ \ \ |:3\\\\3-t=2\sqrt{t+5}\ \ \ \ |^2\\\\(3-t)^2=(2\sqrt{t+5})^2\\\\3^2-2\cdot3\cdot t+t^2=4(t+5)\\\\9-6t+t^2=4t+20\ \ \ |-4t-20\\\\t^2-10t-11=0\\\\t^2+t-11t-11=0\\\\t(t+1)-11(t+1)=0\\\\(t+1)(t-11)=0\iff t+1=0\ \vee\ t-11=0\\\\t=-1\in D\ \vee\ t=11\notin D
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Step-by-step explanation:

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PEMDAS

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