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meriva
3 years ago
11

Atevery bus station, busses depart at a rate of 3 every 10 minutes. At this rate, how many buses would you expect to depart in o

ne hour?
Mathematics
1 answer:
Ber [7]3 years ago
7 0
Rate of 3 every 10 minutes.

In 10 minutes there are 3 buses.

In  1 minute    it is        (3/10).     For 1 hour = 60 minutes.

For 60 minutes  =  3/10  * 60  =  18.

18 buses.
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The image shows a ray of light bending at the boundary of a glass block. According to a law of optics, = n, where n is a constan
UkoKoshka [18]
The formula for the light bend would be n1*sin i= n2 * sin r

If you use "sin (90-x)= cos x" principle, you can change the sin in the equation into
n1*sin i= n2 * sin r
n1 * cos a= n2 * cos b
n2/n1= cos a/ cos b

Assuming the n constant is the ratio of the glass compared to water then the answer would be: cos a/ cos b
3 0
3 years ago
The quotient of 4 and the difference of an integer and 3 is the same as two-thirds. Find the integer.
quester [9]
To find the integer, you must cross multiply, group the same terms, then divide both side by 2:

Solution:
4/(x-3)= 2/3
12 = 2x-6
18=2x
x= 9

7 0
3 years ago
What is 6.7 x (-2.3) round to the nearest hundredth
Vaselesa [24]
Your answer would be -15.41. If you ever need any other kind of help, just ask me.
6 0
3 years ago
Read 2 more answers
Trevon, Leah, and Beth are playing a computer game. Trevon scores -8. Beth’s score was 3/4 of trevons score, and Leah’s score wa
nevsk [136]
-8 = trevon

(3/4)-8 = beth
= -6

1/4[(3/4)-8] = leah
1/4(-6)
= -1.5
3 0
2 years ago
Read 2 more answers
What is the simplified form of x minus 2 over x squared plus x minus 6divided byx squared plus 5x plus 4 over x plus 4?
tatyana61 [14]

Answer:

\dfrac{1}{x^2+4x+3}

Step-by-step explanation:

You have asked for the simpilfied form of ...

x-\dfrac{2}{x^2}+x-\dfrac{6}{x^2}+5x+\dfrac{4}{x}+4

That would be ...

\dfrac{7x^3+4x^2+4x-4}{x^2}

We suspect that's not what you meant. Parentheses are required for grouping when you write math expressions in text form. They work best using math symbols instead of words. We think you mean

... ((x -2)/(x^2 +x -6))/((x^2 +5x +4)/(x +4))

_____

Maybe you want to simplify ...

\displaystyle\frac{\left(\frac{x-2}{x^2+x-6}\right)}{\left(\frac{x^2+5x+4}{x+4}\right)}=\frac{(x-2)(x+4)}{(x-2)(x+3)(x+4)(x+1)}\\\\=\frac{1}{(x+1)(x+3)}=\frac{1}{x^2+4x+3}

_____

<em>Comment on simplifying rational expressions</em>

Division of fractions works the same whether you're working with numbers or polynomials (or anything else). Dividing by something is the same as multiplying by its inverse (reciprocal).

(a/b)/(c/d) = (a/b)·(d/c)

I learned this as "invert and multiply". I've recently seen it referred to as "copy dot flip", meaning you copy the numerator, use a dot symbol to indicate multipication, then flip the denominator (make its reciprocal) to become what you're multiplying by.

8 0
3 years ago
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