There are many ways to solve simultaneous linear equations. One of my favorite for finding integer solutions is graphing. The attached graph shows the solution to be ...
... (x, y) = (4, 7)
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You can also use Cramer's Rule, or the Vedic math variation of it, which tells you the solution to
is given by
Here, that means
... x = (9·67-5·75)/(9·8-5·3) = 228/57 = 4
... y = (75·8-67·3)/57 = 399/57 = 7
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A (graphing) calculator greatly facilitates either of these approaches.
Answer: 99% decrease
Step-by-step explanation: Since the number changes from 6,000 to 60, we know that it's decreasing. Now to find the percent decrease, we divide the amount of change by the original number.
The amount of change is the difference between 6,000 and 60 and the original number is 6,000.
6,000 - 60 is 5,940 so we are left with 
and dividing 6,000 into 5,940 gives us 0<em>.</em>99.
Finally, since the problem is asking us for the <em>percent</em>, we write 0.999 as a percent by moving the decimal point 2 places to the right to get 99%.
So when a number changes from 6,000 to 60, it has decreased by 99%.
The right method to use in order to represent the numerical data on the vertical axis of a Bar Chart is 0 to 40.
<h3>How do you set the vertical axis of a Bar Chart?</h3>
In setting the vertical axis of a Bar Chart, note that it is vital for the categories to be natural as possible.
That is, the vertical axis should always begin with the number zero (0) and the scale values for the x axis must range from the lowest value on the left hand side to highest on the right hand side.
Therefore, due to the explanation given, the right method to use in order to represent the numerical data on the vertical axis of a Bar Chart is 0 to 40 as it range from 0 to the highest value.
Learn more about Bar Chart from
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Answer:
2.25 or 2 1/4 pounds
Step-by-step explanation:
We need to find the weight of the food and water. To do this, find the difference between his backpack before the food and water and after. His backpack without the food is 7 3/4 pounds, and his backpack after is 11 3/4 pounds.
11 3/4 - 7 3/4
4
The food and water together weigh 4 pounds. We know the water weighs 1 3/4 pounds, so we can subtract it from the total to find what the food weighs.
4- 1 3/4
2 1/4
As a decimal: 2.25
The food weighs 2 1/4 or 2.25 pounds
