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Verdich [7]
3 years ago
8

The distance on a map between Lynwood and Forest Hill is 3.75 inches. According to the map key, 0.25 inch on the map is equivale

nt to 1 mile. What is the actual distance in miles between Lynwood and Forest Hill?
Mathematics
1 answer:
Volgvan3 years ago
7 0

Answer:

15 miles

Step-by-step explanation:

To find the actual distance in miles between Lynwood and Forest Hill, we can use a rule of three:

If 0.25 inch on the map is equivalent to 1 mile, then 3.75 inch on the map is equivalent to what distance:

0.25 inch -> 1 mile

3.75 inch -> X miles

0.25/3.75 = 1/X

X = 3.75/0.25 = 15 miles

The actual distance between Lynwood and Forest Hill is 15 miles.

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For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.
Contact [7]

The expressions represent the total time of her trip in hours is\rm \dfrac{80}{s} + \dfrac{50}{s+10}.

Given that,

For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.

It represents Lina's  speed during the first part of her trip.

We have to determine,

Which expressions represent the total time of her trip in hours?

According to the question,

Let the speed traveled during the first part of the trip be "s".

The formula for calculating the distance is expressed as:

\rm Distance = Speed \times Time

For the first part of the journey:

Distance = 80 miles

Time = \rm t_1

And Speed = s

Substitute all the values in the formula,

\rm Distance = Speed \times Time\\\\80 = s \times t_1\\\\ t_1= \dfrac{80}{s}

For the second part of the trip;

Distance traveled = 50 miles

Speed = s + 10 (10miles/hour faster than the first part of the trip)

time = \rm t_2

Substitute all the values in the formula,

\rm Distance = Speed \times Time\\\\50 = (s+10) \times t_2\\\\ t_2 = \dfrac{50}{s+10}

Therefore,

Adding both the time to represent the total time of her trip in hours,

\rm = t_1 +t_2 \\\\ = \dfrac{80}{s} + \dfrac{50}{s+10}

Hence, The required expressions represent the total time of her trip in hours is\rm \dfrac{80}{s} + \dfrac{50}{s+10}.

For more details refer to the link given below.

brainly.com/question/21043759

6 0
2 years ago
What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
olchik [2.2K]

The surface area of cylinder is 8.625\pi cm^{2}, if the cylinder has 5 centimeters high and 1.5 cm of diameter.

Step-by-step explanation:

The given is,

          Cylinder has a 5 centimeters height

          Diameter of the cylinder is 1.5 centimeters

Step:1

          Formula for the surface area of cylinder is,

                     A=2\pi r h + 2\pi  r^{2}......................................(1)

          Where,

                   h - Height of cylinder

                   r - Radius of cylinder

        From the values of h and r,

                   r=\frac{d}{2}

                      = \frac{1.5}{2}

                   r  = 0.75 cm

       From the formula,

                      = ( 2 × \pi × 0.75 × 5 ) + ( 2 × \pi × 0.75^{2} )

                      = ( 7.5 \pi ) + ( 1.125 \pi )

                  A = 8.625\pi cm^{2}

Result:

        The surface area of cylinder is 8.625\pi cm^{2}, if the cylinder has 5 centimeters high and 1.5 cm of diameter.

3 0
3 years ago
Granny visited the Eiffel Tower. It is 324 meters tall. The Statue of Liberty is 93 meters tall. What is the ratio of the height
Nataly_w [17]

324 : 93

simplified:

108 : 31

5 0
2 years ago
Two points located on are J(1,-4) and K(-2,8). What is the slope of ?
trapecia [35]

Answer:

-4

Step-by-step explanation:

to do this you use y2-y1/x2-x1

so this would be -4-8/1- - 2

-12/3 = -4

3 0
2 years ago
What is 26.73 rounded to the nearest decimal
Goshia [24]
I think it's 26.70 if I remember what a decimal is.
5 0
3 years ago
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