Answer:
6 * 3/4 = 4.5 = 9/2 = 412
Step-by-step
6 * 3/4 = 6/1 3*4 = 18/4 = 9/2
2 · 2 = 9/2
Both the numerators and denominators are to be multiplied. Retain the resulting fraction with the lowest possible denominator; GCD(18, 4) = 2. In this intermediate calculation, cancelling by the common factor of 2 results in 9
2
.
In summary - six times three quarters equals nine halves.
Answer:
Darnell reads 1,715 words in 7 minutes.
Step by step Explanation:
1. First, determine how many words he can read in a minute by dividing 735 words by 3. The result is 245.
245
______
3)735
6 drop the 3 to form 13
-_____
1 3
12 drop the 5 to make 15
-______
1 5
15
___________
0
2. Next, since he reads 735 words over 3 minutes, multiply that by 2 to find words read in 7 minutes: 3×2=6, thus, 735+735 (735×2) equals 1,470 words.
3. Finally, add 245 to account for the last minute we calculated. Therefore, the total is 1,715 words in 7 minutes.
For Paul, the calculation is 2550 * 0.2 = 510. For Kevin, it's 2550 * 0.25 = 637.5. Justin's calculation is 2550 * 0.3 = 765. Lastly, David's portion, calculated as 2550 minus the others' contributions, results in 637.5.
The answer is 120 days. Canteen A serves every 12 days, canteen B every 8 days, and canteen C every 10 days. To determine when they will all serve food simultaneously again, we need to find the least common multiple of these intervals. The least common multiple of 12, 8, and 10 is 120 days. Therefore, all three canteens will serve soup together again in 120 days.
1. Selected Case B. 2. 9 cm³. 3. 20 cm. 4. 4.5 m³. Explanation: In question 1, we need to fit a drum with a volume of 14,000 cm³. The volume of a cylinder can be calculated via the formula πr²h. For Case A, with r = 100 mm (10 cm) and h = 300 mm (30 cm), the total volume is approximately 9424.78 cm³, insufficient for the given drum. Case B, with r = 200 mm (20 cm) and h = 30 cm, gives a volume of approximately 37699.11 cm³. Case C with r = 32 cm and h = 250 mm (25 cm) results in a volume of about 80424.77 cm³. The smallest volume among Cases B and C is Case B at 37699.11 cm³, thus it is the correct choice. For question 2, the dimensions of the speaker are Length = 45 cm = 0.45 m, Width = 0.4 m, Height = 50 cm = 0.5 m, leading to a volume of 0.09 m³ or 9 cm³. Question 3 involves a speaker with a volume of 30,000 cm³ with Length = 30 cm = 0.45 m and Height = 500 mm = 50 cm, requiring to find its Width: 30,000 = 30 × W × 50, hence W = 20 cm. For question 4, with dimensions of Base = 2 m, Length = 3 m, Height =1.5 m, the volume of the prism is calculated as 4.5 m³.
