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3 years ago

A 140-meter rope is cut into two pieces. One piece is four times as long as the other. How long is each piece?

Mathematics

1 answer:

grandymaker [24]3 years ago

3 0

Answer:

28meters and 112meters

Step-by-step explanation:

one piece is x

the other is 4x

therefore; 4x+x=140

5x= 140

divide both sides by 5

x=28

4x=4(28)

=112

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The product of four numbers is 540 three of the numbers are 2, 5 and 9. what is the other number

I am Lyosha [343]

Answer:

Step-by-step explanation:

abcd=540

2(5)9a=540

90a=540

a=540/90

a=6

7 0

3 years ago

What is the slope of the line passing through the points (1, –5) and (4, 1)?

xxMikexx [17]

You are given two points that could be plotted on a graph (1,-5) and (4,1). The formula for slope is y2-y1/x2 -x1

When plotted into the points it would look like 1-(-5)/4-1= 6/3

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3 years ago

Evaluate 3m-n when m=5 and n=1

Whitepunk [10]

Answer:

Basically that’s saying 3 • 5 - 1 which will equal 14

Step-by-step explanation:

3•5 = 15 - 1 = 14

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3 years ago

Let’s think of it another way so that we can see the impact of compounding on this investment. For simplicity’s sake, we’ll assu

Maurinko [17]

Answer:

annex the questions of the questionnaire because it is incomplete and the answers are made below

Step-by-step explanation:

7. Value of adrian investment in 10 years =

$10000(1+0.057)^10 = $17,408

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9. Additional value of Clemen's investment

over Adrian's investment over 10 years time = $19306-$17408= $1,898

10. Value of Adrain investment in 20 years =$10000(1+0.057)^20= $30,303 Value of Clemen's investment in 20 years =$10000(1+0.068)^20= $37,275

Additional value of Clemen's investment

over Adrian's investment over 20 years time = $37275-$30303= $6,972

11. We can deduce that an actively managed fund charges more brokerage than a passively managed fund.

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7 0

3 years ago

10%

nignag [31]

Answer:

The population density for the village and the estate together is 112.5 people per square kilometer.

Step-by-step explanation:

The statement is incorrectly written. Correct form is described below:

<em>A village has an area of 6 square kilometers and a population density of 600 people per square kilometer. An estate stituated next to the village has a population of 800 and a population density of 400 people per square kilometer. Work out the population density, in people per square kilometer, for the village and the state together. </em>

Dimensionally speaking, the population density of the village and the estate together ( $r$ ), measured in people per square kilometer, is defined by this expression:

$r = \frac{n_{V}+n_{E}}{A_{V}+A_{E}}$ (1)

Where:

$n_{V}$ , $n_{E}$ - Population of the village and the estate, measured in people.

$A_{V}$ , $A_{E}$ - Area of the village and the estate, measured in square kilometers.

First, we find the population of the village:

$n_{V} = \frac{600\,\frac{p}{km^{2}} }{6\,km^{2}}$

$n_{V} = 100\,p$

Then, we determine the area of the estate:

$A_{E} = \frac{800\,p}{400\,\frac{p}{km^{2}} }$

$A_{E} = 2\,km^{2}$

If we know that $n_{V} = 100\,p$ , $n_{E} = 800\,p$ , $A_{V} = 6\,km^{2}$ and $A_{E} = 2\,km^{2}$ , then the population density of the village and the estate together is:

$r = \frac{100\,p+800\,p}{6\,km^{2}+2\,km^{2}}$

$r = 112.5\,\frac{p}{km^{2}}$

The population density for the village and the estate together is 112.5 people per square kilometer.

4 0

3 years ago