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frez [133]
3 years ago
9

A teacher is having three students take care of 28 goldfish during the summer. He gave some of them to Alaina. Then he gave twic

e as many Miguel. He gave twice as many to Kira as he gave to Miguel. How many fish did each student get?
Mathematics
1 answer:
-Dominant- [34]3 years ago
4 0

Answer:

Alaina got 4, Miguel got 2(4) = 8 while Kira got 2(8) = 16

Step-by-step explanation:

Let the number he gave to Alaina be x. Now, we know he gave twice as many to Miguel. Amount received by Miguel is 2x.

He gave Kira 2 times what he gave Miguel, that is 2x * 2 = 4x

Addition of all these equals 28. We now get x

4x + 2x + x = 28

7x = 28

X = 28/7

x = 4

Alaina got 4, Miguel got 2(4) = 8 while Kira got 2(8) = 16

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soldi70 [24.7K]

Answer:

\large\boxed{x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}}

Step-by-step explanation:

\sin x-(3\sin x-1)=0\\\\\sin x-3\sin x+1=0\qquad\text{subtract 1 from both sides}\\\\-2\sin x=-1\qquad\text{divide both sides by 2}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}

\text{Equation:}\\\\\sin x=a\\\\\text{has solutions}\\\\x=\theta+2k\pi\ \vee\ x=(\pi-\theta)+2k\pi\\\\\text{Why}\ 2k\pi?\\\text{Because the sine function has a period of}\ 2\pi.

\text{look at the table}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}\ \vee\ x=\pi-\dfrac{\pi}{6}=\dfrac{5\pi}{6}

\text{Other solution:}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\sin^{-1}\dfrac{1}{2}\\\\x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi

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3 years ago
Line a passes through (-1, 1) and (1, 3)​
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Y=x+2

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3 years ago
I NEED HELP PLEASE!! Does anyone understand this??
Contact [7]

Answer: 44.4

Step-by-step explanation:

We are asked to find angle V, so we are going to use our trig ratios to explain this one. They have given us the side opposite of angle v and the hypotunse. angle v. so we are going to be using sine. . SOHCAHTOA.  

First, let use the ratio for sine \frac{opp}{hypo\\} which equal to \frac{7}{10}

then we are to take the arcsine or the sine inverse because we are trying to the angle measure not side length. (sin^{-1}(7/10) which gives us 44.4

6 0
2 years ago
Pls help meeeeeeee pls pls pls
Rom4ik [11]

Answer:

D. \frac{4x^{2} \sqrt{29}}{29}

Step-by-step explanation:

Given the expression:

 \frac{40x^{2} \sqrt{x^{12} } }{10x^{2} \sqrt{29x^{8} } }

divide by the common factor to have;

\frac{4\sqrt{x^{12} } }{\sqrt{29x^{8} } } = \frac{4(x^{12}) ^{\frac{1}{2} } }{(29x^{8}) ^{\frac{1}{2} } }

        = \frac{4x^{6} }{\sqrt{29}x^{4}  }

        = \frac{4x^{2} }{\sqrt{29} }

Rationalize the denominator, we have;

\frac{4x^{2} }{\sqrt{29} } x \frac{\sqrt{29} }{\sqrt{29} }

So that,

\frac{4x^{2} \sqrt{29} }{29}

Thus,

\frac{40x^{2} \sqrt{x^{12} } }{10x^{2} \sqrt{29x^{8} } } = \frac{4x^{2} \sqrt{29} }{29}

The correct option is D.

5 0
2 years ago
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