The man travelled in different ways: by rail, by taxi, by ___ and by foot. I placed a blank there because there seems to be a missing word in the given problem above. For sample purposes, let's just assume that is travel by bus.

Since all of these travels are equal to 1 whole journey, you can express each travel as a fraction. When you add them up, the answer would be 1. So,

3/8 + 1/4 + 1/8 + x = 1

The variable x here denotes the fraction of his travel by foot. We are only given the exact distance travelled on foot which is 2 km. We have to find the fraction of the travel by foot to determine the length of the total distance travelled. Solving for x,

x = 1 - 3/8 - 1/4 - 1/8
x = 1/4

That means that the travel by foot comprises 1/4 of the whole journey. Thus,

Let total distance be D.

1.4*D = 2 km
D = 8 km

Therefore, the man travelled a total of 8 kilometers.

4 0

3 years ago

A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft and weighs 50 lb. The se

nydimaria [60]

Answer:

Number of units of first product = 112

Number of units of second product = 400

Step-by-step explanation:

Given that there are two products which are to be shipped.

First product details:

Unit volume = 10 cu ft

Weight of one unit = 50 lb

Second product details:

Unit volume = 3 cu ft

Weight of one unit = 40 lb

Total volume that can be carried by a truck = 2320 cu ft

Total weight that can be carried by a truck = 21600 cu ft

To find:

The number of units of each product that can be transported in one shipment in the truck?

Solution:

Let number of units of first product = $x$

Let number of units of second product = $y$

We can write down two linear equations in two variables here and solving them will give us the answer we are required to find.

As per question statement, the equations can be written as:

$10x+3y = 2320 ...... (1)\\50x+40y = 21600\\\Rightarrow 5x+4y = 2160...... (2)$

Multiplying equation (2) with 2 and subtracting equation (1) from it:

$8y - 3y = 4320-2320\\\Rightarrow 5y = 2000\\\Rightarrow \bold{ y = 400}$

By equation (1):

$10x+1200 = 2320\\\Rightarrow 10x = 1120\\\Rightarrow \bold{x = 112}$

Answer is:

Number of units of first product = 112

Number of units of second product = 400

6 0

3 years ago

What is 4567876543345678765434678976543456876543*7576575675675*09*6865676*0*565545552651273652135*5272526*62526535*526242534546*

KatRina [158]

4567876543345678765434678976543456876543*7576575675675*09*6865676*0*565545552651273652135*5272526*62526535*526242534546*786743165461354*653654264*751*1*5*7562756565464654+10 = 10

it took me awhile but that's what i got.

7 0

4 years ago

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