Here's what we know:n + d = 20 (there are a total of 20 nickels and dimes).05n + .1d = 1.4 (total change equals $1.40) There are a couple of ways to solve this. You can go the elimination method by multiplying the second equation by an amount to get rid of a variable, or we can go substitution by isolating a variable in the first equation. I'll go with elimination in this case: -10(.05n + .1d = 1.4) this will cause the d-variable to equal 0: n + d = 20-.5n - d = -14------------------.5n = 6n = 12 Now that we know n, we can solve for d:12 + d = 20d = 8 Check:.05 * 12 + .1 + 8 = 1.4.6 + .8 = 1.41.4 = 1.4
See the attached image below for the drawing.
Point G = midpoint of segment DE
Point H = midpoint of segment FD
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Add up the x coordinates of points D and E, then divide by 2. So you should get (x1+x2)/2 = (0+2)/2 = 2/2 = 1. This is the x coordinate of point G.
Repeat for the y coordinates of D and E. So we have (y1+y2)/2 = (7+0)/2 = 7/2 = 3.5
Therefore point G is located at (x,y) = (1, 3.5)
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These steps will be repeated to find the midpoint H
Add up the x coordinates of F and D, then divide by 2. So, (x1+x2)/2 = (6+0)/2 = 6/2 = 3
Do the same for the y coordinates: (y1+y2)/2 = (7+0)/2 = 7/2 = 3.5
Point H is located at (3, 3.5)
Answer:
1.3
Step-by-step explanation:
6.50/5
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▹ Answer
<em>r = 4</em>
▹ Step-by-Step Explanation
15r - 6r = 36
<u>Collect like terms</u>
9r = 36
<u>Divide</u>
r = 4
<u>Final Answer</u>
r = 4
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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Answer:
3rd on 6 feet
Step-by-step explanation: