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aleksandr82 [10.1K]
3 years ago
15

An art class is planning to paint a rectangular mural with an area of 60 square feet. It has to be at least 4 feet high but no m

ore than 6 feet high. The length and width have to be whole numbers. List all possible widths for the mural?
Mathematics
1 answer:
Katarina [22]3 years ago
5 0
4 Is the height. 5 is the width. 3 is the length. This is because all these numbers multiplied would equal 60 square ft.
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The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square​ kilometers, find the dimensions
Art [367]
Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
x(2x - 6) = 2 {x}^{2} - 6x

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

2 {x}^{2} - 6x = 108
Subtract 108

2 {x}^{2} - 6x - 108 = 0
Divide by 2.

{x}^{2} - 3x - 54
(x - 9)(x + 6) = 0
Rule AB = 0, gives A is 0 or B is 0.

x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
x = 9
Width
2x - 6 = 2 \times 9- 6 = 18 - 6 = 12

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!
6 0
3 years ago
What is the solution to the equation 400 - 8m =216
777dan777 [17]

Answer: m=23

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Whats 5a - 2a + 9 ? <br>could someone add how you got the answer to please?
Vinvika [58]
Step 1. Simplify 
3a+9

3a+9 is your answer:

Done! :)

7 0
4 years ago
Read 2 more answers
A company makes a profit of $7 per software program and $8 per video game. The company can produce at most 90 software programs
g100num [7]

Answer:

930 dollars

Step-by-step explanation:

Let software programs = S

Video game = V

Given that a company makes a profit of $7 per software program that is, 7S and $8 per video game that is, 8V. The company can produce at most 90 software programs and at most 80 video games per week. Since the Total production cannot exceed 120 items per week.

How many items of each kind should be produced per week in order to maximize the profit?

The to get profit P

P = 7S + 8V

Since the profit on video game is higher, we will give maximum production to video game. Therefore,

P = (30 × 7) + ( 8 × 90)

P = 210 + 720

P = 930 dollars

6 0
3 years ago
Which graph represents function g? g(x) = (-x)^1/2​
Ann [662]

Answer: Graph A!!

Step-by-step explanation:

5 0
3 years ago
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