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pav-90 [236]
3 years ago
9

The school band traveled on two buses with 36 student on each bus. At a lunch stop, 2/3 of the students on the first bus ate at

Hamburger Haven, and the other's ate at Taco Time. 3/4 of the students on the second bus ate at Hamburger Haven. How many students, in all, ate at Hamburger Haven?
Mathematics
2 answers:
Schach [20]3 years ago
7 0
If it's divided by 2 then 18 is half but 26 is 2/3 so I would say 26 ate at hamburger Haven
Serga [27]3 years ago
5 0
51 if you need an explanation I can give that to you
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<h2><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>

If a = 6 - \sqrt{35}, find the value of a² + \frac{1}{a²}

<h2><u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>

a = 6 - \sqrt{35} (Given)

Now, first of all we have to find the value of \frac{1}{a}.

So, \frac{1}{a} = \frac{1}{6 \: - \: \sqrt{35}}

\frac{1}{a} = \frac{6 \: + \sqrt{35}}{(6 \: - \: \sqrt{35})(6 \: + \: \sqrt{35})}

\frac{1}{a} = \frac{6 \: + \sqrt{35}}{(6)² \: - \: (\sqrt{35})²}

\frac{1}{a} = \frac{6 \: + \sqrt{35}}{36 \: - \: 35} (\because \sqrt{35} \: × \: \sqrt{35} \: = \: 35)

\frac{1}{a} = \frac{6 \: + \: \sqrt{35}}{1}

\frac{1}{a} = 6 + \sqrt{35}

Now, we have to find the value of a² + \frac{1}{a²}

So, a² + \frac{1}{a²} = (a \: + \frac{1}{a})² - 2.a.\frac{1}{a}

a² + \frac{1}{a²} = (6 \: - \sqrt{35} \: + \: 6 \: + \sqrt{35})² - 2

a² + \frac{1}{a²} = (12)² - 2

a² + \frac{1}{a²} = 144 - 2

a² + \frac{1}{a²} = 142

The value of a² + \frac{1}{a²} is <u>1</u><u>4</u><u>2</u>. [Answer]

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5 0
3 years ago
Read 2 more answers
Find (f + g)(x) and its domain.
Nostrana [21]

Answer:

The domain of function( f+ g)(x) ( (-∞,∞))

Step-by-step explanation:

Given  ( f + g)x = f(x) +g(x)

The domain of function (f + g)(x)  is (-∞,∞)

<em>Example:-</em>

<em>f(x) = 2 x² + 3x and  g(x) =  4x² +3</em>

<em>(f + g)(x) = f(x) +g(x)</em>

<em>              =  2 x² + 3x + 4 x² + 3</em>

<em>             =  6x ² + 3 x + 3</em>

<em>The domain of  (f + g) (x)  is ( -∞,∞))</em>

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There is 2 midpoints on a line segment.
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