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?

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

To find the area of the largest circle that fits in the rectangle, we need to determine the area of a circle with a diameter of 8 cm or less to fit on the rectangle with the given measurements as illustrated below.

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Area of circle= πr2

Radius of circle, r=8cm/2=4cm

Then, area of the largest circle is:

Area of circle= π*4 cm *4 cm =16π cm2

Yoghurt : toppings=4:3

Yoghurt: 4.5 oz =4:3

We convert the given ratio into a proportion equation as below

Multiply both sides by 4.5 oz

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

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

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

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.

Change in weight of client=new -old=1072-841= 231

Percent change=change/old*100%=231/841*100%=27.47%

The percentage change increase is about 27%

The constant of proportionality is the distance traveled divided by gallons of gas consumed

Constant of proportionality=386.4 miles/14 gallons= 27.6 miles per gallon.