After the music store he had $14 left, because 21:3=7 and 7x2 equals 14.
After the drink, he has $3.5 left, because 14:4=3.5 and 3.5x1=3.5.
Conclusion: that is one expensive drink. (Answer is 3 dollars and 50 cents. Hope this helped:)
10.5 divided by 8 should be 1.3125
9514 1404 393
Answer:
5x -y = -37
Step-by-step explanation:
One way to find the coefficients A and B is to use the differences of the x- and y-coordinates:
A = Δy = y2 -y1 = 2 -(-3) = 5
B = -Δx = -(x2 -x1) = -(-7 -(-8)) = -1
Then the constant C can be found using either point.
5x -y = 5(-7) -2 = -37
The equation of the line is ...
5x -y = -37
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<em>Additional comment</em>
This approach comes from the fact that the slope of a line is the same everywhere.
![\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\Delta y}{\Delta x}\\\\\Delta x(y-y_1)=\Delta y(x-x_1)\qquad\text{cross multiply}\\\\\Delta y(x-x_1)-\Delta x(y-y_1)=0\qquad\text{subtract y term}\\\\\Delta y(x) -\Delta x(y) = \Delta y(x_1)-\Delta x(y_1)\qquad\text{Ax+By=C form}](https://tex.z-dn.net/?f=%5Cdfrac%7By-y_1%7D%7Bx-x_1%7D%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cdfrac%7B%5CDelta%20y%7D%7B%5CDelta%20x%7D%5C%5C%5C%5C%5CDelta%20x%28y-y_1%29%3D%5CDelta%20y%28x-x_1%29%5Cqquad%5Ctext%7Bcross%20multiply%7D%5C%5C%5C%5C%5CDelta%20y%28x-x_1%29-%5CDelta%20x%28y-y_1%29%3D0%5Cqquad%5Ctext%7Bsubtract%20y%20term%7D%5C%5C%5C%5C%5CDelta%20y%28x%29%20-%5CDelta%20x%28y%29%20%3D%20%5CDelta%20y%28x_1%29-%5CDelta%20x%28y_1%29%5Cqquad%5Ctext%7BAx%2BBy%3DC%20form%7D)
The "standard form" requires that A be positive, so we chose point 1 and point 2 to make sure that was the case.
Answer:
Year 10 Interactive Maths - Second Edition
Problem Solving
Linear equations are often used to solve practical problems that have an unknown quantity. We use a suitable pronumeral to represent the unknown quantity, translate the information given in the problem into an equation, and then solve the equation using the skills acquired earlier in this chapter.
Example 11
If a number is increased by 8, the result is 25. Find the number.
Solution:
Let x be the number. Increasing x by 8 gives x + 8, which we are told is 25. Therefore, x + 8 = 25. Subtract 8 from both sides to find x = 17. So, the number is 17.
Step-by-step explanation:
I hope this helps!!!
Answer:
80%
Step-by-step explanation:
I'm assuming you meant express 4/5 as a percent and not 4/5%. So simply evaluate 4/5 to get 0.80. Now multiply this value by 100 to get the percentage which gives you 80%