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kykrilka [37]
3 years ago
5

Ellie has a delivery van which she is going to deliver boxes each box is a cuboid brain.ly 45cm by 40cm by 35cm the space in the

van is empty and by has maximum length 3.6m maximum width 1.6m maximum height of 2.1m Ellie wants to put as many boxes possible in the van she can put 3 boxes in the van in 1 minute how many minutes will it take ellie to put as many boxes in a van as possibe
Mathematics
1 answer:
jek_recluse [69]3 years ago
4 0

Answer:

It will take Ellie 64 minutes to put as many boxes as possible.

Step-by-step explanation:

Let us work with meters.

The dimensions of Ellie's boxes in meters are: 0.45m by 0.40m by 0.35 ( <em>to convert from centimeters to meters we just divide by 100, because 1m =100cm).</em> therefore the volume of each box is:

<em>V_{box}=0.45m*0.40m*0.35m=0.063m^3</em>

Now the dimensions of the empty van are 3.6m by 1.6m by 2.1 m, therefore its volume V_{van} is:

V_{van}=3.6m*1.6m*2.1m=12.096m^3.

So the amount of boxes that Ellie can put in the van is equal to the volume of the van V_{van} divided by the volume V_{box} of each box:

\frac{V_{van}}{V_{box}} =\frac{12.096}{0.063}=\boxed{192\:boxes }

So 192 boxes can be put into the van.

Now Ellie can put 3 boxes in the van in 1 minute, therefore the amount of time it will take her to put 192 boxes into the van will be:

\frac{192boxes}{3boxes/minute} =\boxed{64\:minutes}

So it takes Ellie 64 minutes to put as many boxes into the van as she can.

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Find the value of x.
azamat

Answer:

98 °

Step-by-step explanation:

We know that the sum of the angles in a triangle is 180. We also know that angle DAB is 122°, meaning that angle CAB is 180-122, which is 58°. We also know that angle CBA is 24 degrees. Therefore, angle x is just 180-(58+24), which is 98

3 0
3 years ago
In calm water, the motorboat of Jana is moving at the speed of 16.5km/h. On a river, because of the current, the boat moves fast
ki77a [65]

Answer: 707 km/h

Step-by-step explanation:

let c = speed of current

16.5 + c = speed of sailboat downstream

16.5 - c = speed of sailboat upstream

distance = travel time * speed

﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋

2(16.5 + c) = 5(16.5 - c)

33 + 2c = 82.5 - 5c

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4 0
1 year ago
An animal shelter has 9 puppies. If the puppies are 36% of the total dog and cat population, how many dogs and cats are in the a
Luda [366]

Answer:

Let total number of dog and cat population in animal shelter be x.

As per the statement:

An animal shelter has 9 puppies.

⇒ Total number of puppies = 9

It is also given that if the puppies are 36% of the total dog and cat population.

⇒ 9 = 36\% \text{of}{\text{total number of dogs and Cat}

or

9 = \frac{36}{100} \times x

By cross multiply we get;

900 = 36 x

Divide both sides by 36 we get;

25 = x

Therefore, total number of dogs and cat population in animal shelter are 25


5 0
3 years ago
Which statement is not true about the patter shown?
brilliants [131]

Answer:

Each fraction is greater than the previous fraction.

Step-by-step explanation:

Every statement is true except, the one that says "Each fracton is greater than the previous fraction." This statement is not true. I know it looks like it, but let's think about it. Each fraction is equivalent to 2/3, which means they are technically equal to each other. So that means that each fraction is not greater than the previous one. This means that the statement "Each fraction is equal to the previous fraction in the pattern multiplied by 2/2" is a true statement.

2/3 x 2/2 = 4/6

4/6 x 2/2 = 8/12

8/12 x 2/2 = 16/24

16/24 x 2/2 = 32/48

So that means that the next fraction in the pattern is indeed 32/48, making the last statement true.

3 0
3 years ago
Leo wants to paint a moral that covers a wall with an area of 1440 sq ft. the height of the wall is 2 fifths of its length. What
DerKrebs [107]
The length of the wall will be 288.... I think
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3 years ago
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