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2 years ago

Work out the sum of 1 6 , 4 5 and 2 3 . give your answer as a mixed number in its simplest form.

Mathematics

1 answer:

Tcecarenko [31]2 years ago

6 0

The sum of numbers is = $1 \frac{19}{30}$

First find the least common denominator of 1/6, 4/5, and 2/3. The least common denominator of that list is: 30.

= 1/6 + 4/5 + 2/3

= $\frac{5+24+20}{30}$

= 49 / 30

The sum of numbers in mixed fraction = $1 \frac{19}{30}$

<h3>What is mixed fraction?</h3>

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

To learn more about mixed fraction from the given link

brainly.com/question/414559

#SPJ4

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3 years ago

Simplify the expression completely. 7b+3(4b−2)+6÷3

Karo-lina-s [1.5K]

Answer:

19b-4

Step-by-step explanation:

7b+3(4b-2)+6÷3

Bracket comes first so we distribute 3 over the terms in the bracket

= 7b + 12b -6 +6 ÷ 3

First we solve division

= 7b + 12b -6 +6 ÷ 3

= 7b + 12b -6 +2

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This can't be simplified further as it can't be solved anymore

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3 years ago

Read 2 more answers

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

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PtichkaEL [24]

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