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 B
Explanation
To calculate the number of months it will take to pay off the television, we first subtract the down payment from the total cost of the television:
1,570−400=1,170
Now, we divide the remaining balance by the monthly payment amount:
1,170÷100=11.7
Since the consumer cannot make a fraction of a payment, it will take 12 months to pay off the television.
Correct Answer is D
Explanation
Given the equation
(x/y)-z=rw
Subtract z on both sides of the equation
x/y=rw+z
multiply both sides by y
x=y(rw+z)
Now rearranging the fllowing equation
x=y(z+rw)
Correct Answer is A
Explanation
To calculate the average rate of change per month, we first determine the total change in the account balance and then divide that by the number of months over which the change occurred.
The change in the balance from March 15 to August 15 is:
Changeinbalance=1450−1140=310
Now, we calculate the number of months between March 15 and August 15:
Numberofmonths=5months
Next, we find the average rate of change per month:
Averagerateofchangepermonth = = 62
Correct Answer is B
No explanation
Correct Answer is C
Explanation
We determine least common denominator (LCD) using prime factorization of denominators as follows
2=1*2
3=1*3
5=1*5
Thus, LCD of 2, 3, 5 = 2*3*5=30
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.
Mean of data is total divided by number of elements
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
(N/2)th =16/2 =8th position and (16/2+1)th =9th position
Since the data is arranged in ascending order as below
1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9
Element in 8th position = 3
Element in 9th position =7
So median average of the two elements=(3+7)/2=5
Now the data could be presents as follows in the distribution curve
This is because the data set has two modes, meaning the data is bimodal.
Correct Answer is C
Explanation
The percent equivalent of a fraction is obtained by multiplying the by frication by 100%.
Convert 5 ¼ into improper faction as follows
So, percent equivalent is:
Correct Answer is C
Explanation
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 =
Correct Answer is D
Explanation
Given the equation D=2R means that the get the value of D, multiply the value of R by 2. That is D is two times the value of R.
Correct Answer is A
Explanation
Here are the calculations for the gumballs:
- Total Gumballs: 120
- Red Gumballs: 20% of 120 = 24
- Orange Gumballs: 30% of 120 = 36
- Yellow Gumballs: 5% of 120 = 6
- Green Gumballs: 10% of 120 = 12
- Blue Gumballs: 120−(24+36+6+12) =42
Difference
The difference between the number of blue gumballs and yellow gumballs is: 42 − 6=36
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