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:
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Y = mx + b. Use this equation for most linear functions. Enter the information that is given to you.
Multiply the -3 and 4 to get 12.
Now divide the -12 from both sides.
-12 cancels out on the right side and your left with
Now re-enter the info back into the formula.
Then you've got your formula
Answer:
The rule is "add 5, add 10, add 20" and the rule keeps doubling.
The effect of Claudia's changing the height of of the triangle from 1 inch
to 3 inches is the option;
- The height of the triangle changed to three inches but the width remained 1 inch
<h3>Which option gives the effect of changing the height?</h3>
The given dimensions of the equilateral triangle Claudia added are;
Height of the triangle = 1 inch
Width of the triangle = 1 inch
The value Claudia typed in the Shape Height box = 3
Required:
What happened to the shape after she press Enter
Solution:
By entering 3 in the Shape Height box, changes the height of the
equilateral triangle to 3 inches but the width remains 1 inches
From a similar question posted online, the correct option is therefore;
- The height of the triangle changed to three inches but the width remained 1 inch
Learn more about triangles here:
brainly.com/question/16430835
