C. 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60
1,000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
Now we find the common numbers. One doesn’t count as when multiplied later on, it will not change anything.
60: 2, 4, 5, 10, 20
1,000: 2, 4, 5, 10, 20
The highest common factor is 20 because it’s, well, the highest number.
D. Do the same thing for D.
24: 1, 2, 3, 4, 6, 8, 12, 24
880: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
20 and 880: 2, 4, 8
8 is the Highest Common Factor.
E. Do the same thing with E.
90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
1,000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
90 and 1000: 2, 5, 10
10 is the Highest Common Factor.
Answer:
The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes
Step-by-step explanation:
The given parameters are;
The time it takes through the streets to drive to the nearest bowling alley = 45 minutes
The speed of driving through the streets = 30 miles per hour (mph)
The speed of driving through the freeway to the bowling alley = 65 mph
From the speed of driving through the streets and the time taken we have;
The formula for speed, S, is S = Distance/Time
Therefore, 30 mph = Distance/45 minutes
Where, 1 hour = 60 minutes, 45 minutes = 1/60×45 hour = 3/4 hour
30 mph = Distance/45 minutes = Distance/(3/4 hour)
30 mph = Distance/(3/4 hour)
Distance = 30 mph × 3/4 hour = 22.5 miles
Given that the distance through the freeway and through the streets are the same, we have from speed = Distance/Time;
Time = Distance/Speed
The speed through the freeway = 65 mph while the distance remain 22.5 miles
Therefore;
Time = 22.5 miles/(65 mph) ≈ 0.346 hour ≈ 20.8 minutes
The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes.
Answer:
In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list statements and the reasons the statements are true.
A paragraph proof is a two-column proof in sentence form.
Step-by-step explanation:
- In a paragraph proof, statements and their justifications are written in sentences in a logical order.
- A two-column proof consists of a list statements and the reasons the statements are true.
- A paragraph proof is a two-column proof in sentence form.
A paragraph proof is only a two-column proof written in sentences. However, since it is easier to leave steps out when writing a paragraph proof.
A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column
