Use the conversion ratio 1 kilometer equals about 0.62 miles to solve the following problem. An airplane travels about 900 kilometers per hour. What is the airplane’s speed in miles per hour

To convert kilometers to miles, we can multiply the value in kilometers by the conversion ratio of 0.62.

So, to find the airplane's speed in miles per hour, we multiply 900 kilometers by 0.62:

900 km * 0.62 miles/km = 558 miles/hour

Therefore, the airplane's speed is approximately 558 miles per hour.

To solve this problem, we will use the conversion ratio 1 kilometer equals about 0.62 miles.

Step 1: Write down the given information.
The airplane travels about 900 kilometers per hour.

Step 2: Use the conversion ratio to convert kilometers to miles.
Multiply the given speed in kilometers (900 km) by the conversion ratio (0.62 miles/kilometer).

900 km * 0.62 miles/km = 558 miles

Step 3: Write down the final result.
The airplane's speed is approximately 558 miles per hour.

To find the airplane's speed in miles per hour, we can use the conversion ratio of 1 kilometer to 0.62 miles.

The airplane's speed is given as 900 kilometers per hour.

To convert this speed to miles per hour, we can multiply the given speed by the conversion ratio:

900 kilometers/hour * 0.62 miles/kilometer = 558 miles/hour.

Therefore, the airplane's speed is approximately 558 miles per hour.

Leo designs a piece of jewelry in the shape of a regular pentagon. Each side of the object measures 3 centimeters. Leo photographs the object, enlarges it so that the sides each measure 8 centimeters, and prints the photo. What scale factor did Leo use to create the photograph from the original

To determine the scale factor used by Leo to create the photograph from the original, we can compare the lengths of the sides.

The original object has sides measuring 3 centimeters each.

The enlarged photograph has sides measuring 8 centimeters each.

To calculate the scale factor, we divide the length of the enlarged side by the length of the original side:

Scale factor = Enlarged side length / Original side length

Scale factor = 8 centimeters / 3 centimeters

Scale factor ≈ 2.6667

Therefore, Leo used a scale factor of approximately 2.6667 to create the photograph from the original.

can you put that as a fration please

Sure! To express the scale factor as a fraction, we can simplify the decimal approximation.

The scale factor is approximately 2.6667.

To express it as a fraction, we can convert the decimal to a fraction:

Scale factor ≈ 2.6667 ≈ 8000/3000

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 1000:

8000/3000 = (8000/1000) / (3000/1000) = 8/3

Therefore, the scale factor is 8/3 when expressed as a fraction.

now can you put it as a mixed fraction please.

Certainly! To express the scale factor as a mixed fraction, we divide the numerator by the denominator and express the remainder as a proper fraction.

The scale factor is 8/3.

To express it as a mixed fraction, we divide 8 by 3:

8 ÷ 3 = 2 with a remainder of 2.

Therefore, the scale factor as a mixed fraction is 2 2/3.