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kari74 [83]
3 years ago
14

The area of a rectangle is 24 square inches. Determine both dimensions if the length is 6 inches less than three times the width

Mathematics
1 answer:
Rama09 [41]3 years ago
3 0

Answer:

width is 4 inches

length is 6 inches

Step-by-step explanation:

the length is 6 inches less than three times the width

l = 3w - 6

a = l * w

a = (3w - 6)w

a = 3w^2 - 6w

area of the rectangle is 24 square inches

3w^2 - 6w = 24

subtract 24 from both sides

3w^2 - 6w - 24 = 0

Divide both sides by 3

w^2  - 2w - 8 = 0

Factor

(w - 4)(w + 2) = 0

w = {-2, 4}

disregard the negative root since measurement must be positive

w = 4

l = 3w - 6

l = 3(4) - 6

l = 6

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4 0
4 years ago
What is the answer please im so anyyoned its inquatiltys and greater than less than please help
Basile [38]
Equation: 50 is greater than or equal to 45 + .5(x)

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Answer: 10 is greater than or equal to x
3 0
3 years ago
Find the value of x which makes the area of this triangle equal 72
Maslowich
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8 0
3 years ago
Please Help Me. The table shows a proportional relationship.
matrenka [14]
To find the box answer, you can divide y by x:

\frac{y}{x}

You can check every pair, bit I'm going to show you the first 2 as an example:

\frac{ - 6}{ - 4}  =  \frac{3}{2}  \\   \\ \frac{ - 3}{ - 2}  =  \frac{3}{2}

So 3/2 is the answer!
8 0
4 years ago
Proximately 32, 800 citizens of the country died in my automobile accident in 2015. Expressed this toll in deaths per day
Anton [14]
Remark
2015 is an odd numbered year. It is not a leap year. It has 365 days in it.

Equation
Total deaths = deaths / day * number of days

Givens
Total deaths = 32800
deaths / day = ???
number of days  = 365

Sub and solve
32800 = x * 365  Divide by sides by 365
32800 / 365 = x
x = 89.86 deaths per day.

Problem
Do you round up, down or leave the number as it is?

I would round up 90 deaths per day. 

Discussion 
Just how much are you out?
Total deaths in a year (rounded) = 90 * 365
Total deaths in a year (rounded)= 32850 which is 50 too many

Suppose you round down 
Total death/day = 89 * 365 = 39485 Rounding up is going to be better if you round at all.

Perhaps you should not round the answer at all and leave it at
89.86 <<<<< answer.
If you have choices, please list them.
5 0
3 years ago
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