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Shtirlitz [24]
2 years ago
13

David and Jim like to race each other for best times. In April, the ratio of David winning to Jim was 5 : 9. In August, the rati

o changed to 10 : 4. If David won 15 races in April, how many races did each brother win in August?
Mathematics
2 answers:
mixer [17]2 years ago
8 0
15: 6 is the answer i got it right so hope it helps
Artemon [7]2 years ago
6 0

15: 6

hope this helps

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angle B = angle C

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Please please use explanation with answer
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Answer:

\large\boxed{\theta=-\dfrac{\pi}{4}+k\pi\ or\ \theta=k\pi}\ for\ k\in\mathbb{Z}

Step-by-step explanation:

\tan^2\theta+\tan\theta=0\\\\\tan\theta(\tan\theta+1)=0\iff\tan\theta=0\ \vee\ \tan\theta+1=0\\\\\tan\theta=0\Rightarrow \theta=k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\tan\theta+1=0\qquad\text{subtract 1 from both sides}\\\\\tan\theta=-1\Rightarrow\theta=-\dfrac{\pi}{4}+k\pi\ \text{for}\ k\in\mathbb{Z}

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3 years ago
in a proportional relationship the ratio y/x is constant. Show that this ratio is not constant for the equation y=a-14
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To show that the ratio \frac{y}{x} is not constant for the function y=a-14 we only need to evaluate this function at 2 points and then show that the ratio is not the same for those two points. Note that here a represents x.  

To find the counter examples here, I will use the values a=20  and a=28. For a = 20 , the equation tells us that the output is

y=20-14=6. For this value of a the point is point is (20,6). The ratio \frac{y}{x} =\frac{6}{20}. For the a=28, y=28-14=14. For this value of a the  point is (28,14) . The ratio \frac{y}{x} =\frac{14}{28} =\frac{1}{2}. Clearly this ratio is not constant for all ordered pairs.

8 0
2 years ago
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