Answer:
17,068,935 square feet
Step-by-step explanation:
square feet 1 wall = 813*1615 = 1312995
square feet 13 walls = 1312995*13 = 17068935 squre feet
Solving a system of equations, we will see that there are 6000 kg of coal on the pile.
<h3>
How many kilograms of coal are in the pile of coal?</h3>
Let's say that there are N kilograms of coal, and it is planned to burn it totally in D days, these are our variables.
We know that:
- If the factory burns 1500 kilograms per day, it will finish burning the coal one day ahead of planned.
- If it burns 1000 kilograms per day, it will take an additional day than planned.
Then we can write the system of equations:
(1500)*(D - 1) = N
(1000)*(D + 1) = N
Because N is already isolated in both sides, we can write this as:
(1500)*(D - 1) = N = (1000)*(D + 1)
Then we can solve for D:
(1500)*(D - 1) = (1000)*(D + 1)
1500*D - 1500 = 1000*D + 1000
500*D = 2500
D = 2500/500 = 5
Now that we know the value of D, we can find N by replacing it in one of the two equations:
(1500)*(D - 1) = N
(1500)*(5 - 1) = N
(1500)*4= N = 6000
This means that there are 6000 kilograms of coal on the pile.
If you want to learn more about systems of equations:
brainly.com/question/13729904
#SPJ1
The length of one of the sides of the larger pentagon is 24 cm. The length of one of the sides of the smaller pentagon is 8 cm.
÷
So, if the larger pentagon is 3x the size of the smaller pentagon, we can find the area of the smaller pentagon by dividing the area of the larger pentagon by 3.
÷
The area of the smaller pentagon is 45in²
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Answer:
c) (3-7x^2)(x-3)
Step-by-step explanation:
-7x^3+21x^2+3x-9
Factor out a -7x^2 from the first two terms and a 3 from the last two terms
-7x^2 (x -3) +3(x-3)
Now factor out (x-3)
(x-3) (-7x^2+3)
Rearranging)
(x-3) (3-7x^2)
