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german
3 years ago
14

It takes Ms Eberline 3/4 of an hour to drive to the store and 2/3 of an hour to drive to her son’s school. If ms ember line driv

es to the store twice and to her sons school once, how long has she driven? Is it a 6/4 of an hour b 18/12 of an hour c 26/12 of an hour or d 8/11 of an hour??
Mathematics
2 answers:
laila [671]3 years ago
8 0

The correct answer is D. 8/11 of an hour.

If she drove to the store twice, with each time consisting of exactly 3/4 of an hour, then that is equal to 6/8 of an hour. Then we add her one trip dropping her sons off at school, so we add 2/3 of an hour to our 6/8 of an hour. We receive a final answer of 8/11 of an hour.

sineoko [7]3 years ago
8 0
It's 8/11 hope this helps!
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ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

\displaystyle h = 29.4t - 4.9 {t}^{2}

we want to figure out maximum height of

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since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

\displaystyle \rm t= \frac{ - b}{  2a}

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notice that, our given function is not in standard form i.e

\displaystyle f(x) = a {x}^{2}  + bx + c

let's make it so

\displaystyle h =  - 4.9 {t}^{2}  + 29.4t

therefore we got

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so substitute:

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remove parentheses and change its sign:

\displaystyle\rm t=  \frac{ -29.4}{  2 \cdot - 4.9}

simplify multiplication:

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simplify division:

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now we have to figure out the height

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substitute the got value of time to our given function

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simplify square:

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simplify mutilation:

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simplify substraction:

\displaystyle H_{\text{max}}=44.1

hence,

the maximum height of the baseball is 44.1 metres

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