2 years ago

Juwan went on a bike ride of 36 miles. He realized that if he had gone 15 mph faster, he would have arrived

Mathematics

1 answer:

Alexandra [31]2 years ago

4 0

Step-by-step explanation:

Distance = (Rate)(Time) So, Time = (Distance)/(Rate)

Time at slower speed = Time at faster speed + 3

36/x = 36/(x+6) + 3

Multiply the equation by the LCD, x(x+6) to obtain:

36(x+6) = 36x + 3x(x+6)

36x + 216 = 36x + 3x2 + 18x

3x2 + 18x - 216 = 0

x2 + 6x - 72 = 0

(x + 12)(x - 6) = 0

x = -12 or x = 6

Since x can't be negative, x = 6 mph

You might be interested in

A rectangle has an area of 822.4 square miles and a base of 32 miles. What is the height?

JulijaS [17]

I believe it would be 25.7 miles. I just divide 822.4 by 32.

4 0

3 years ago

Read 2 more answers

MARKING YOU BRAINLIST AND 5 STARS! A tire from Karen's car is shown below. Which is the closest to the distance traveled, in fee

Yuki888 [10]

Answer:

18.86 feet

Step-by-step explanation:

One rotation of the tire is equal to the circumference of the tire

The formula for circumference of a circle (remember that a tire is shaped as a circle) = πd

where

π = 22/7

d = diameter

The size of one revolution = 2 x 22/7 = 44/7 feet

The distance covered in one rotation of the tire is 44/7 feet

The distance covered in 3 rotations = (44/7) x 3 = 18.86 feet

3 0

3 years ago

Simplify the expression (10x + 12 - 3x) by combining like terms.

Misha Larkins [42]

Answer:

7x+12

Step-by-step explanation:

You do 10x-3x since they both have the x variable they can be combined to make 7x and the 12 is left alone.

4 0

3 years ago

Read 2 more answers

Item 20

STALIN [3.7K]

Answer:

LLL

Step-by-step explanation:

3 0

3 years ago

For mutually exclusive events we can use the ____ Principle of Counting.

leonid [27]

Fundamental principle of counting

5 0

3 years ago