By solving a system of equations, we will see that the width is 170ft and the length 275 ft.
<h3>
How to get the dimensions of the base?</h3>
For a rectangle of length x and width y, the perimeter is:
P = 2*(x + y).
Here we know that:
x = 2y - 65ft
p = 890ft = 2(x + y)
So we have a system of equations.
To solve this, we need to replace the first equation into the second one:
890ft = 2(x + y)
890ft = 2(( 2y - 65ft) + y)
Now we can solve this for y.
890ft = 4y - 130ft + 2y
890ft + 130ft = 6y
1020ft/6 = y = 170ft
So the width is 170ft, and we know that:
x = 2y - 65ft = 2*(170ft) - 65ft = 275ft
So the length is 275 ft.
If you want to learn more about systems of equations:
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number - n
Twice a number - 2n
Seven times the number - 7n
2n = 7n +35
7n-2n = -35
5n = -35
n = - 7
Check:
2(-7) = 7(-7) +35
-14 = -49 + 35
-14 = -14 True
The number is (- 7).
Answer:
See attached photo.
Step-by-step explanation:
x = -2y^2 + 4y + 2
The number of days is 10 if, in a poultry farm, 50 hens give 200 eggs in 2 days.
<h3>What is a fraction?</h3>
Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
On a poultry farm, 50 hens give 200 eggs in 2 days.
It is required to find the number of days will 20 hens require to give 400 eggs:
Let x be the number of days:
(50×2)/200 = (20x)/400
x = 10
Thus, the number of days is 10 if, in a poultry farm, 50 hens give 200 eggs in 2 days.
Learn more about the fraction here:
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Step-by-step explanation:
3x - 9 +2x + 9 = 2x - 2
5x = 2x - 2
5x - 2x = - 2
3x = - 2
x= - 2/ 3
