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3 years ago

On a certain map, 3/4 inch represents one mile. What distance, in miles, is represented by 1 3/4 inches?

Mathematics

2 answers:

choli [55]3 years ago

6 0

Answer:

The distance is $\frac{7}{3}$ mile

Step-by-step explanation:

Given : On a certain map, $\frac{3}{4}$ inch represents one mile.

To find : What distance, in miles, is represented by $1\frac{3}{4}$ inches?

Solution :

We have given that,

1 mile = $\frac{3}{4}$ inch

or 1 inch = $\frac{1}{\frac{3}{4}}$ mile

1 inch = ${\frac{4}{3}$ mile

We have to find miles in $1\frac{3}{4}$ inches i.e. $\frac{7}{4}$ inches

$\frac{7}{4}$ inch = $\frac{7}{4}\times {\frac{4}{3}$ mile

$\frac{7}{4}$ inch = $\frac{7}{3}$ mile

Therefore, The distance is $\frac{7}{3}$ mile

Vesna [10]3 years ago

4 0

I'd set up a ratio problem

3/4 inch = 1 mile
----------- --------
1 3/4 inch x

3/4 x = 1 3/4
divide each side by 3/4 (also change 1 3/4 to improper)

you end up with
x = 7/4 x 4/3
x = 28/12
x = 7/3 or 2 1/3

hope this helps

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3 years ago

Given: The coordinates of isosceles trapezoid JKLM are J(-b, c), K(b, c), L(a, 0), and M(-a, 0). Prove: The diagonals of an isos

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3 years ago

Read 2 more answers

It is 1:45 25min later what time is it

marusya05 [52]

Answer:

The answer is 2:10

Step-by-step explanation:

60 mins in an hour. 1:45+25 is 1:70, turn that into ours and you get 2:10.

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3 years ago

Read 2 more answers

larisa86 [58]

A. Every month Population will increase by a factor of 0.84%.

B. Every 3 months Population will increase by a factor of 2.5%.

C. Increase in population in every 20 months is 10% + 6.72% = 16.72%.

Step-by-step explanation:

Here, we have number of employees in a company has been growing exponentially by 10% each year. So , If we have population as x in year 2019 , an increase of 10% in population in 2020 as $x + \frac{x}{100}\times10$ which is equivalent to $\frac{11x}{10}$ .

A.

For each month: We have 12 months in a year and so, distributing 10% in 12 months would be like $\frac{10}{12} = 0.84$ . ∴ Every month Population will increase by a factor of 0.84%.

B.

In every 3 months: We have , 12 months in a year , in order to check for every 3 months $\frac{12}{3} = 4$ and Now, Population increase in every 3 months is $\frac{10}{4} = 2.5$ . ∴ Every 3 months Population will increase by a factor of 2.5%.

C.

In every 20 months: We have , 12 months in a year in which increase in population is 10% . Left number of moths for which we have to calculate factor of increase in population is 20-12 = 8. For 1 month , there is 0.84% increase in population ∴ For 8 months , 8 × 0.84 = 6.72 %.

So , increase in population in every 20 months is 10% + 6.72% = 16.72%.

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3 years ago