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?

Let two number be x and y. Then

Three time a number=3x

Eight times a different number=8y

Sum of the two is 3x+8y

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)

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.

Since the screen sizes are proportional, we can set up a proportion based on the diagonal lengths of the screens.

Let x be the length of the vehicle on the 50-inch screen. The proportion based on the screen sizes is:

=

Now, solve for x:

x = = ≈14.06

Rounding to the nearest inch, the vehicle will appear about 14 inches long on the 50-inch screen.

The independent variable is the one that is changed or controlled in an experiment to test its effects on the dependent variables. Here, the number of hours worked is independent because it affects the other variables (taxes withheld, retirement savings, and sick leave), making it the cause rather than the effect.

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

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.

To find the number of calories from fat per tablespoon, follow these steps:

Calculate the total calories from fat in one serving (2 tablespoons):

87.5%×80=0.875×80=70caloriesfromfat

Determine the calories from fat per tablespoon: Since one serving is 2 tablespoons, divide the total calories from fat by 2:

=35caloriesfromfatpertablespoon

To find the circumference of the flower bed (which is a circle), you use the formula π×diameter\pi \times \text{diameter}π×diameter. With a diameter of 5 feet and using π≈3.14\pi \approx. 3.14π≈3.14, the calculation is 3.14×5=15.73.14 \times 5 = 15.73.14×5=15.7 feet, which is the required length of the barrier.

The most likely weight of pencil is 25 g, because a pencil is a lighter object which is measured in grams.