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nadezda [96]
2 years ago
14

A group of friends is roping off a soccer field in a back yard. A particular full-size soccer field is a rectangle with a length

of 100 yards and a width of 50 yards. To fit the field in the back yard, the group needs to reduce the size of the field so its perimeter is 60 yards.
What is the Area of the soccer field in the back yard?
Mathematics
1 answer:
sergejj [24]2 years ago
5 0

Answer:

200 ft

The original perimeter would be 300, so divided by 5, it would be 60. 100/5 is 20, 50/5 is 10. 20*10 is 200.

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Define the variables and write a system of equations to represent the given situation do not solve
Kaylis [27]

Answer:  28x  + 15y = 131   and x + y =  7   where x is the number of Dress shirt and y is the number of T-shirt.

Step-by-step explanation:

We will represent the number of Dress shirt he bought by x and we will represent the number of T-shirt he bought by y.

We know that he spent 131 so the cost of each dress shirt plus the cost of each T-shirt has to equal  131.  Also, he bought 7 total shirts so x plus y has to equal 7.

28x  + 15y = 131  

x + y =  7

Note: it says don't solve so I didn't solve but if you want to solve use these equations.

4 0
3 years ago
A silo is not the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cu
Gnom [1K]

Answer:

$7803.72

Step-by-step explanation:

We have been given that a silo is in the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cubic meter. We are asked to find the total cost to fill the silo with soybeans.

First of all, we will find the volume of silo using volume of cone formula.

\text{Volume of cone}=\frac{1}{3}\pi r^2 h, where,

r = radius

h = Height

We know that radius is half the diameter, so radius of silo would be r=\frac{3}{2}=1.5.

\text{Volume of cone}=\frac{1}{3}\pi (1.5\text{ m})^2 (8)\text{ m}

\text{Volume of cone}=\frac{1}{3}\pi\times 2.25\text{ m}^2 (8)\text{ m}

\text{Volume of cone}=\pi\times 0.75\text{ m}^2 (8)\text{ m}

\text{Volume of cone}=\pi\times 6\text{ m}^3

\text{Volume of cone}=18.8495559\text{ m}^3

Now we will multiply total volume by $414 to find total cost.\

\text{Total cost of soybeans}=\$414 \times 18.8495559

\text{Total cost of soybeans}=\$7803.7161426

\text{Total cost of soybeans}\approx \$7803.72

Therefore, it will cost $7803.72 to fill the silo with soybeans.

5 0
3 years ago
Heidi and Andrew designed two raised flowerbeds for their garden. Heidi’s flower bed was 5 feet long by 3 feet wide, and Andrew’
Alona [7]

Answer:

90 ft³

Step-by-step explanation:

Volume is calculated as length × width × height.

Heidi: 5×3×2 = 30 ft³

Andres: 5×6×2 = 60 ft³

Total: 30 + 60 = 90 ft³

3 0
3 years ago
The equation πr²Gives the area,A of a circle with a radius,r,. Solve the function for π
zalisa [80]

\bf \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad \implies \qquad \cfrac{A}{r^2}=\pi

7 0
3 years ago
You start hiking at an elevation that is 80 meters below base camp.
Arte-miy333 [17]

Answer:

You are now 38 m below base camp.

Step-by-step explanation:

Consider the provided information.

You start hiking at an elevation that is 80 meters below base camp.

Now your initial location is 80 m below base camp, that can be represents as: -80

Now you increase your elevation by 42.

So you go up by 42.

In other words, you get the equation -80+42 = -38.

Since a negative value is below the base camp, this means that you are now 38 m below base camp.

6 0
2 years ago
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