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Hi.
Formula for area: A = 2l + 2w, where l is the length and w is the width.
Given information:
• l = 2w - 1
• A = 21 in^2
We can plug in our values accordingly and solve for w.
A = 2l + 2w
21 = 2(2w - 1) + 2w
21 = 4w - 2 + 2w
23 = 6w - 2
23 = 6w
3.83 = w
Plug 3.83 for w into 2w - 1 to find length.
2(3.83) - 1
7.66 - 1
6.66
Finally, check your work by plugging your values into the original equation.
21 = 2(6.66) + 2(3.83)
21 = 13.32 + 7.66
21 = 20.98
Answer:
The length is approximately 6.66 inches.
Answer:
$1307.69
Step-by-step explanation:
Let the original investment be x.
Note that a 30% increase in a value is equal to multiplying a value by 130% and a withdrawal is to take out money. The final amount is $1500. Let’s write the equation with the information we have.
Equation:
130%x - 200 = 1500
(130/100)x = 1700
x = 1700(100/130) = $1307.69
I hope this helps! :)
Answer:
50 499/1000
Step-by-step explanation:
50.499
There are 3 digits after the decimal
Our denominator is 1 with 3 zero's 1000
50 499/1000
3.114
Step-by-step explanation:
Given slope of the line is 1.581,
Mean of the x-coordinate is 5.923,
Mean of the y-coordinate is 12.478
Equation of the line formula is
y = mx + c
12.478 = 1.581 × 5.923 + c
⇒ 12.478 = 9.364263 + c
⇒ c = 12.478 – 9.364263
⇒ c = 3.113737
⇒ c = 3.114 (Round off to three decimal places)
Hence, y-intercepts of the line to three decimal places is 3.114.