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?

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:

Diameter: 15 inches

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.

To find the average speed in miles per hour, we need to convert the time from minutes to hours and then use the formula for speed:

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

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

Rate of work for person B=1/3 work per hour

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

31% of 426

Convert 31% to a fraction or decimal by dividing it with 100. Then

(31/100)*426=132.06

So, 31% of 426 =132.06

C. 17.8 cm.

Explanation

To convert inches to centimeters, we use the conversion factor:

1 inch = 2.54 centimeters.

7 inches×2.54 cm/inch

=17.78 cm

Rounded to the nearest dollar, the original price of the recliner is approximately $451.

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.

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.

We use the relation 1 kg =1000 g to convert 3.193 kg to g