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iragen [17]
2 years ago
6

A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will need. The ga

rden is in the shape of a rectangle with vertices at (3, 9) (5, 9) (3, 3) (5, 3). Find the total length of border needed. 8ft 12ft 16ft 24ft

Mathematics
1 answer:
liberstina [14]2 years ago
8 0
1. To solve this exercise you must plot the vertices of the rectangle: (3,9);(5,9); (3,3); (5,3). The graph is shown in the figure attached.
<span>
 2. As you can see in the graph, the rectangle has 6 feet long  (L=6 feet) and 2 feet wide (W=2 feet).

 3. Then, the perimeter of the rectangle is:

 P=2L+2W

 4. When you substitute the values of "L" and "W" into </span>P=2L+2W<span>, you obtain:

 P=2(6 feet)+2(2 feet)
 P=12 feet+4 feet
 P=16 feet

 Therefore, the total length of border needed is 16 feet.</span>

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a company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software progra
Lynna [10]

Answer:

In order to maximize the profit, should be produced 200 software program and 235 video games per week

Step-by-step explanation:

Let

x ------> the number of software program

y -----> the number of video games

we know that

x \leq 200 -----> inequality A

y \leq 300 -----> inequality B

x+y \leq 435 -----> inequality C

Using a graphing tool

The solution is the shaded area between the positive values fo x and y

see the attached figure

The vertices of the shaded area are

(0,0),(0,300),(135,300),(200,235),(200,0)

The profit function is equal to

P=50x+35y

Substitute the value of x and the value of y of each vertices in the profit function

For (0,300) ----- P=50(0)+35(300)=\$10,500

For (135,300) ----- P=50(135)+35(300)=\$17,250

For (200,235) ----- P=50(200)+35(235)=\$18,225

For (200,0) ----- P=50(200)+35(0)=\$10,000

therefore

In order to maximize the profit, should be produced 200 software program and 235 video games per week

4 0
2 years ago
Read 2 more answers
.<br> Simplify (−34.67)0
maksim [4K]
If it's -34*0 then it is equal to 0 because anything times 0 is 0.

If it were -34.67 to the power of 0, then It would have been equal to -1. This is because anything to the power of 0 is 1. In this case though the base is negative so it would be -1. 

But the answer is 0.
5 0
2 years ago
Elliot collects miniature toy cars. He wants to fill 4 display cases.each display case holds 15 cars. He has 28 cars now, and he
baherus [9]

Answer:

Elliot has to wait 11 months before he has enough cars

Step-by-step explanation:

Elliot has 4 display cases with each case being able to hold 15 cars. Thus we know

total # of cars Elliot can place in his display case = 4 * 15 = 60 cars

From this, we can figure out how many more cars Elliot needs by subtracting the amount of cars he already has

# of cars Elliot needs = 60 - 28 = 32 cars

Now to find the number of months Elliot needs, we divide by how many he can buy each month

# of months Elliot needs to save up for = 32 / 3 = 10 2/3

Assuming Elliot does not get his allowance until the end of the month, we will have to round the number of months up to the nearest integer, 11

7 0
2 years ago
How do you write 125.06 million dollars in at least four different ways.
Ludmilka [50]
$125,060,000

one-hundred twenty-five million, and sixty thousand dollars

I mean 125.06 in fraction form is 6253/50, if that works great.

125.06 million dollars, if you can use the number in the question.
5 0
2 years ago
Read 2 more answers
What is the approximate perimeter of the figure?
exis [7]
<span>This is a perimeter of 1/4 of a circle. We know that the radius of the circle: r = 5 in. Also the perimeter of the circle is : 2 * r * Pi = 2 * 5 * 3.14 = 31.4 in. For the quarter of a circle it its 31.4 : 4 = 7.85 in. After that we can add the 2 lengths of the radius: P = 5 + 5 + 7.85 = 17.85 in ( approx. 17.9 in ). Answer: C ) 17.9 in. </span>
7 0
2 years ago
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