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3 years ago

On a map, the distance between two historical markers is 4.5 inches, and 2.5 inches represents 10 miles.

Mathematics

2 answers:

Softa [21]3 years ago

7 0

Answer:

$18\ miles$

Step-by-step explanation:

we know that

The scale on a map is equal to

$\frac{2.5}{10}\frac{inches}{miles}$

by proportion

Find the actual distance between the historical markers

Remember that on a map, the distance between two historical markers is $4.5$ inches

$\frac{2.5}{10}\frac{inches}{miles}=\frac{4.5}{x}\frac{inches}{miles}\\ \\x=10*4.5/2.5\\ \\x= 18\ miles$

nlexa [21]3 years ago

4 0

The answer is 18 mi its correct luv

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Rewrite the equation x = 65 - 60p by factoring the side that contains the variable p.

grigory [225]

Answer: $x=5(13-12p)$

Step-by-step explanation:

Given equation: $x=65-60p$

$\\\Rightarrowx=(5\times13)-(5\times12)p$

Since 5 is the greatest common factor of 65 and 60 in the given expression.

Therefore, the above expression can be written as

$x=5(13-12p)$

Hence, by factoring the side that contains the variable p we have the expression $x=5(13-12p)$ .

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3 years ago

Find the equation of this line

GalinKa [24]

the Answer is:

3/4x + 1/4

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3 years ago

Read 2 more answers

A freight train leaves a station and travels north at 60 mph. 4 hours later, a passenger train leaves on a parallel track and t

harkovskaia [24]

Answer:

first do:

60mph * 4 hours= 240mi

Let D = the distance the passenger train has to

travel to catch the freight train

Start a stopwatch when the passenger train leaves

Let t = the time on the stopwatch when they meet

Equation for freight train:

d-240=60t

Equation for passenger train:

d=100t

all together:

100t-240=60t

we can do 100t-60t because they both have (t)= 40t

40t=240 *now divide 240 by 40= 6

THEN do:

D= 100mph x 6= 600mi

They will meet 600 mi from the station

to check:

d-240=60t x 6

600-240= 360

60 x 6= 360

360=360

5 0

3 years ago

Are two lines parallel, perpendicular or neither 3x+7y=15 and 7x-3y=6

maw [93]

Answer:

The lines are perpendicular

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are equal

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

we have

$3x+7y=15$ ----> equation A

isolate the variable y

$7y=-3x+15$

Divide by 7 both sides

$y=-\frac{3}{7}x+\frac{15}{7}$

The slope of the line A is $m_A=-\frac{3}{7}$

$7x-3y=6$ ----> equation B

isolate the variable y

$3y=7x-6$

Divide by 3 both sides

$y=\frac{7}{3}x-2$

The slope of the line B is $m_B=\frac{7}{3}$

Compare the slope of both lines

$m_A=-\frac{3}{7}$

$m_B=\frac{7}{3}$

$m_A \neq m_B$ ----> the lines are not parallel

Find the product of the slopes

$-\frac{3}{7}(\frac{7}{3})=-1$ ----> the lines are perpendicular

4 0

4 years ago

The length of each side of a square was decreased by 2 inches so the perimeter is now 49 inches. What was the original length of

aleksley [76]

The Original length of each side of square was 14.25 inches.

Step-by-step explanation:

Perimeter of a square is given by:

Perimeter = 4 * side

Let x be the original length of each side of square

decreasing 2 inch will mean

$x-2$

Perimeter of square after reducing 2 inches from each side

$4(x-2) = 49\\4x-8 = 49\\4x = 49+8\\4x = 57\\\frac{4x}{4} = \frac{57}{4}\\x = 14.25$

So,

The Original length of each side of square was 14.25 inches.

Keywords: Perimeter, square

Learn more about perimeter at:

#LearnwithBrainly

5 0

3 years ago