Answer: -600 and 1600 were invested into the two accounts.
Step-by-step explanation:
x = amount invested in the first account.
y = amount invested in the second account.
You start off with this equation
Subtract both sides by y.
Subsitude 1000 - x for x for the second equation.
Use the distributive property to solve for y.
Subsitude -600 for y in the first equation and solve for x.
-600 and 1600 were invested into the two accounts.
Step-by-step explanation:
The circumference of the clock will be 8.6π because its hand is the radius. In 15 minutes the hand moves a quarter of the circumference which is 2.15π or 6.571.
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
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Answer:
(0,7)
Step-by-step explanation:
For a set of ordered pairs to be a function, there needs to be "ONE" value of y for each unique x value.
Thus, we see that the 3 ordered pairs given have x values of 0, 2, and 3.
Now, we look in the answer choices and find which ones are 0, 2, or 3 in x-coordinate.
That would be only (0,7). Now the original set has x = 0 corresponding to y = 1
Is that true for (0,7)?? NO!
x = 0 will now correspond to "TWO" values of y.
THis will make this NOT A FUNCTION.
So, (0,7) is correct.
Since 2+8 =10 you would just have 3 left to add so it would be 10+3=13
