Question

1. the bag contained only red marbles and white marbles. if the ratio of red marbles to white marbles was 5 to 4, what fraction of the marbles were white?
2. john ran 4 laps of the track in 5 minutes 40 seconds.

a. how many seconds did it take john to run 4 laps?
b. what was the average number of seconds it took john to run each lap?

1. claire’s car averages 21 miles per gallon of gas. at that rate, how far would it go on 21 gallons?
2. diagram this statement. then answer the questions that follow.

seventy - five percent of the 104 adults in the mcglaughlin clan were 5 feet tall or taller.
a. how many of the adults were less than 5 feet tall?
b. how many of the adults were 5 feet tall or taller?
refer to the rectangle below for problems 5 and 6.
(there is a rectangle with length 0.6 m and width 0.3 m)

1. what is the perimeter of this polygon? (write formula first.)
2. what is the area of this polygon? (write formula first.)
3. ab is 35 mm. cd is 45 mm. ad is 110 mm. find bc.

(there is a number line with points a, b, c, d in order)

1. the length of segment cd in problem 7 is 45 mm. what is the length of segment cd in centimeters?

Explanation:

Problem 1

Step1: Understand the ratio

The ratio of red to white marbles is \( 5:4 \), so total parts \( = 5 + 4 = 9 \).

Step2: Find fraction of white marbles

White marbles are \( 4 \) parts out of \( 9 \), so fraction is \( \frac{4}{9} \).

Step1: Convert minutes to seconds

\( 5 \) minutes \( = 5 \times 60 = 300 \) seconds.

Step2: Add remaining seconds

Total seconds \( = 300 + 40 = 340 \) seconds.

Step1: Use total seconds from 2a

Total seconds \( = 340 \), laps \( = 4 \).

Step2: Calculate average per lap

Average \( = \frac{340}{4} = 85 \) seconds.

Answer:

\( \frac{4}{9} \)

Problem 2a