1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KatRina [158]
3 years ago
11

find the dimensions of the sports field at the right if the width is at least 60 yards AREA = 240 - 400X SQUARE YARDS

Mathematics
1 answer:
charle [14.2K]3 years ago
8 0

Answer:

<u>The dimensions of the sports field are 80 yards and 3 - 5x yards</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Width of the sports field = At least 60 yards

Area of the sports field = 240 - 400x square yards

We can conclude the shape of the sports field is rectangular.

2. Find the dimensions of the sports field.

A. We need to find the Greatest Common factor between 240 and 400, this way:

The factors of 240 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240 .

The factors of 400 are: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400 .

Then the greatest common factor is 80.

This GCF is also higher than 60, therefore it's one of the dimensions of the sports field.

Now, we calculate the other side of the sports, this way:

Second dimension of the sports field = (240 - 400x)/80

Second dimension of the sports field = 3 -5x

<u>The dimensions of the sports field are 80 yards and 3 - 5x yards</u>

You might be interested in
Suppose you throw a dart at a circular target of radius 10 inches. Assuming that you hit the target and that the coordinates of
sukhopar [10]

Answer:

a) The probability is 0.04

b) The probability is 0.36

c) The pprobability is 0,25

d) The probability is 0.09

Step-by-step explanation:

Lets calculate areas:

the target has a radius of 10 inces, hence the target area has a area on 10²*π = 100π square inches.

a) A circle of 2 inches of radius has an area of 2²π = 4π square inches, hence the probability of hitting that area is 4π/100π = 1/25 = 0.04

b) If the dart s within 2 inches of the rim, then it is not at distance 8 inches from the center (that is the complementary event). The probability for the dart to be at 8 inches of the center is 8²π/100π = 64/100 = 16/25 = 0.64, thus, the probability that the dart is at distance 2 or less from the rim is 1-0.64 = 0.36.

c) The first quadrant has an area exactly 4 times smaller than the area of the target (each quadrant has equal area), thus the probability for the dart to fall there is 1/4 = 0.25

d) If the dart is within 2 inches from the rim (which has probability 0.36 as we previously computed), then it will be equally likely for the dart to be in either of the 4 quadrants (the area that is within 2 inches from the rim forms a ring and it has equal area restricted on each quadrant). Therefore, the probability for the dice to be in the first qudrant and within 2 inches from the rim is 0.36*1/4 = 0.09.

6 0
3 years ago
A definition for the therm of weight
exis [7]
A body's relative mass or the quantity of matter contained by it, giving rise to a downward force; the heaviness of a person or thing.
6 0
3 years ago
Read 2 more answers
What is x less than a divided by b? a. a/b x b. a/b - x c. b/a - x d. a/b x
tamaranim1 [39]
B. a/b - X .............
6 0
3 years ago
Answer pls I would really appreciate your help
tester [92]

Answer:

I think A

Step-by-step explanation:

srry if wrong

i hope this helps tho

3 0
3 years ago
A: 2x + 8y = 5 B: x + 9y = 10
zalisa [80]
Hope this helps you!

3 0
3 years ago
Other questions:
  • Solve for x, help explain pls I dont get it​
    9·1 answer
  • Does subtraction exhibit the property of closure over the set of real numbers.
    6·1 answer
  • The accounting system that reveals the financial position of a business is
    15·1 answer
  • In​ Joe's fish​ tank, there are 9 goldfish and 13 snails. How does the ratio 9​:22 describe​ Joe's fish​ tank?
    8·1 answer
  • Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child..
    7·2 answers
  • I hate y'all just waisting my póints (╥﹏╥)​
    7·1 answer
  • Do the following set of points describe a function, a relation, both or neither?
    12·1 answer
  • Choose the expression that shows P(x)=x^3 + 5^2 + 11x + 10 as a product of two factors.
    10·1 answer
  • Select the expressions that are equivalent to 12x - 6.
    6·2 answers
  • Hannah's car used 5 gallons to travel 220 miles. How many miles can the car go for each gallon of gas?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!