Answer:
28 feet
Step-by-step explanation:
We know that the perimeter of a square is
, where l is the length and w is the width.
We also know that the perimeter of a triangle is all of its sides added up.
Since the perimeters will be equal to each other, we can make both of these statements an equation that are equal to each other.
Basically:
![(3x - 3) + (3x - 3) + (x - 3) + (x - 3) = (2x - 1) + (2x - 1) + (2x)](https://tex.z-dn.net/?f=%283x%20-%203%29%20%2B%20%283x%20-%203%29%20%2B%20%28x%20-%203%29%20%2B%20%28x%20-%203%29%20%3D%20%282x%20-%201%29%20%2B%20%282x%20-%201%29%20%2B%20%282x%29)
We can combine like terms to get a <em>less scary</em><em> </em>equation.
![8x - 12 = 6x - 2](https://tex.z-dn.net/?f=8x%20-%2012%20%3D%206x%20-%202)
Our goal is to now isolate x so we can find it's value.
Add 2 to both sides:
![8x - 10 = 6x](https://tex.z-dn.net/?f=8x%20-%2010%20%3D%206x)
Subtract 6x from both sides:
![2x - 10 = 0](https://tex.z-dn.net/?f=2x%20-%2010%20%3D%200)
Add 10 to both sides:
![2x = 10](https://tex.z-dn.net/?f=2x%20%3D%2010)
Divide both sides by 2:
![x = 5](https://tex.z-dn.net/?f=x%20%3D%205)
Now we know the value of x, however, our work isn't done. They want to know the perimeter, so we need to substitute x in as 5.
Let's do it on the triangle.
(remember, this is our simplified version of the triangle)
![6(5) - 2\\\\30 - 2\\\\28](https://tex.z-dn.net/?f=6%285%29%20-%202%5C%5C%5C%5C30%20-%202%5C%5C%5C%5C28)
Hope this helped!
The question is incomplete, the complete question is;
A grocer has 18 kg of black tea worth $3.5 per kg. She wants to mix it with green tea worth $2.6 per kg to sell the mixture at $2.9 per kg. How much of green tea should she use?
Answer:
36
Step-by-step explanation:
Let the weight of the green tea used be x kg.
From the question:
We have:
18 kg of black tea at $ 3.5 per kg. Thus total cost of black tea is 18 x 3.5 = $ 63
Cost of green tea is $2.6 per kg. Total cost of green tea is 2.6 * x = $2.6x
Total weight of the mixture is 18 + x kg.
Total cost of the mixture is = $2.9 (18 + x)
Thus,
Total cost of black tea + total cost of green tea = Total cost of the mixture
$63 + $2.6 x = $2.9 (18 + x)
$63 + $2.6x = $52.2 + $2.9x
63 – 52.2 = 0.3 x
10.8 = 0.3 x
x = 10.8/0.3
x = 36
36 kg of green tea is needed
Answer:
a.12 hours
Step-by-step explanation:
12 am (00:00) represents midnight and 12 pm is noon (pm represents noon - after noon)so the time passes between 12 am to 12 pm is 12 hours
Answer:
4.
Step-by-step explanation:
I will have one real root = fifth root of 3.
As it has a total of 5 roots ( By the Fundamental Theorem of Algebra) then it must have 4 complex roots.