A liquid storage container is leaking at a rate of 2/3 gallon every 1/4 hour. What is the unite rate?

2 gallons an hour

Step-by-step explanation:

This is a fraction equal to

2 gal ÷ 1 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1

2 gal

÷ 1

1 hours

÷ 1

=

2 gal

1 hour

=

2 gal

hour

= 2 gal per hour

3/8

Step-by-step explanation:

1/4 ÷ 2/3 = 3/8

Third option 18.7 units is the correct answer.

Step-by-step explanation:

We will draw a figure to understand the given parameters first.

Tangent RQ = 5√3

RN = QN and ON = 5

We have to find the perimeter of the triangle RON.

By the tangent theorem length of tangents are same when drawn from any external point.

Therefore QR = QN = 5√3

ON = 5 (given)

OR = ON = 5 (Radius of the circle)

Therefore perimeter of triangle RON = OR + ON + RN

P = 2×ON + RN = 2×5 + QN (RN = QN given)

P = 10 + 5√3 = 10 + 5×1.73 = 10 + 8.7 = 18.7 units

Therefore perimeter of ΔRON = 18.7 units