A soccer field is a rectangular in shape and is 100 meters long and 75 meters wide. The hectare is a metric unit of area after used to measure larger areas. Given that 1 hectare = 10,000 meters3, which of the following represents the soccer field’s area in hectares?
7.5 hectares
75,000,000 hectares
0.75 hectares
7,500 hectares
<p>A soccer field is a rectangular in shape and is 100 meters long and 75 meters wide. The hectare is a metric unit of area after used to measure larger areas.</p>
Correct Answer : C
The dimension of the field is shown below.
Area of rectangle =length * width
Area of rectangle =100 m *75 m= 7500 m2
Area of rectangle in hectares =
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Correct Answer is C
Explanation
Here are the calculations for the medium and large pizzas:
Medium Pizza:
Diameter: 11 inches
Area: ×
×
= 95.03 square inches
Price: $9
Cost per square inch: = 9.47 cents
Large Pizza:
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Area: ×
×
= 176.71 square inches
Price: $13
Cost per square inch: = 7.36 cents
Cost Difference
The large pizza costs about 2.11 cents less per square inch than the medium pizza.
Correct Answer is A
Explanation
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Speed =
The distance traveled is 7.125 miles.
The time was 10 minutes, which is equivalent to:hours
Now, we can calculate the speed:
Speed = 7.125 ÷ = 7.125×6 = 42.75mph
Correct Answer is C
Explanation
We know that the two people work on the same work but the time to complete the work differs. Thus, the rate of doing the work for each person is as follows:
Rate of work for person A = 1 /2 work per hr
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If the person A and B wok together, the time of doing the same work will be less than the fastest person A. Thus, we combine the two rates of A and B
We have 1 work and time to complete by both A and B becomes
Correct Answer is A
Explanation
31% of 426
Convert 31% to a fraction or decimal by dividing it with 100. Then
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Correct Answer is B
No explanation
Correct Answer is C
Explanation
C. 17.8 cm.
Explanation
To convert inches to centimeters, we use the conversion factor:
1 inch = 2.54 centimeters.
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Correct Answer is D
Explanation
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Correct Answer is A
Explanation
Standard interior doors typically range from0.7 to 0.9 metersin width and 2.0 to 2.1 meters in height. Thus, average width of the door way is about 1.0 m.
Correct Answer is C
Explanation
To solve this problem, we need to find the mean, mode and median of the above data set.
From the data set, the mode of the data is 2 and 8. They are the most occurring elements in the data set.
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Total=1+ 1 + 2+ 2+ 2+ 2+ 3 +3+ 7+ 7+8+8+ 8+ 8+ 9+9=80
Number of elements=16
Mean=80/16=5
Median will fall in between the (N/2)th and (N/2+1)th position
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Since the data is arranged in ascending order as below
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Explanation
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