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2 years ago

A packing operator can assemble 4 cardboard boxes in 5 minutes. At this rate, how many boxes can she assemble in 25 minutes?

Mathematics

2 answers:

dolphi86 [110]2 years ago

8 0

<h2>Answer:</h2>

She can assemble 20 boxes.

<h2>Step-by-step explanation:</h2>

1. Create a table

<u># of Boxes</u> <u>Time</u>

4 => 5 min

<em>x</em> => 25 min

2. Use the table to cross multiply.

5 · <em>x</em> = 4 · 25

5<em>x</em> = 100

5<em>x</em>/5 = 100/5

<em>x</em> = 20

lukranit [14]2 years ago

5 0

Answer:

A. 20

Step-by-step explanation:

look at this step:

4 : 5 = X : 25

X = 4×25/5 = 100/5 = 20

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Combining and simplifying $48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3})$ we get $\mathbf{-4x-34y-32}$ or we can write as $\mathbf{48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})}$

Step-by-step explanation:

We need to combine and simplify

$48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3})$

First we will combine like terms and then perform the mathematical operations like addition or subtraction.

<u>Like terms</u>: terms having same variable

$48(\frac{1}{4}x-\frac{2}{6}x-\frac{1}{3}y-\frac{3}{8}y-\frac{2}{3})$

Now we take LCM of like terms

$=48(\frac{1}{4}x-\frac{2}{6}x-\frac{1}{3}y-\frac{3}{8}y-\frac{2}{3})\\=48(\frac{x*3-2x*2}{12} +\frac{-y*8-3y*3}{24}- \frac{2}{3})\\=48(\frac{3x-4x}{12} +\frac{-8y-9y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} +\frac{-17y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})$

Now, we can multiply 48 with terms inside the bracket.

we can simplify the terms if they are both divisible by same number.

$=48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} )-48(\frac{17y}{24})-48(\frac{2}{3}))\\=-4x-34y-32$

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