30. Since he can ride the bike 6 miles in 20 mins, and 100 divided by 20 is 5, the answer would be given to you by multiplying 5x6, which is 30. So he can travel 30 miles in 100 minutes.

4 0

2 years ago

A group of friends went to lunch, and their bill was $132.50. An 18% gratuity was added to the bill. What was the total amount o

Serggg [28]

Answer:

$156.35

Step-by-step explanation:

we know that

A group of friends went to lunch, and their bill was $132.50

In this problem

$132.50 represent the 100%

100%+18%=118%

using proportion

Find out the total amount that represent 118%

Let

x ----> the total amount of the bill

$\frac{\$132.50}{100\%}=\frac{x}{118\%}\\\\x=132.50(118)/100\\\\x=\$156.35$

7 0

3 years ago

A stick 1 meter long casts a shadow 0.6 meters long. A building casts a shadow 25 meters long. How tall is the building (to 2 de

zloy xaker [14]

Answer:

41.67

Step-by-step explanation:

Using the tangent on the stick with shadow:

tan(θ) = $\frac{1}{0.6}$

Using the tangent on the building:

tan(θ) = $\frac{h}{25}$

⇒ h = 25 · tan(θ)

= 25 · $\frac{1}{0.6}$

⇒ h = 41.66... ≈ 41.67

8 0

3 years ago