Multiply both sides of the second equation by 100 to get rid of the decimals:
0.05<em>n</em> + 0.10<em>d</em> = 1.50
==> 5<em>n</em> + 10<em>d</em> = 150
Multiply both sides of the first equation by -5:
<em>n</em> + <em>d</em> = 21
==> -5<em>n</em> - 5<em>d</em> = -105
Add the two equations together:
(5<em>n</em> + 10<em>d</em>) + (-5<em>n</em> - 5<em>d</em>) = 150 + (-105)
Notice that the terms containing <em>n</em> get eliminated and we can solve for <em>d</em> :
(5<em>n</em> - 5<em>n</em>) + (10<em>d</em> - 5<em>d</em>) = 150 - 105
5<em>d</em> = 45
<em>d</em> = 45/5 = 9
Plug this into either original equation to solve for <em>n</em>. Doing this with the first equation is easiest:
<em>n</em> + 9 = 21
<em>n</em> = 21 - 9 = 12
So Donna used 12 nickels and 9 dimes.
Answer:
7 x 2/3 = 14/3 = 4 2/3
To find the area of a parallelogram, simply multiply the base times its height.
Answer:
Jasmine expected to get $150 for her bonus, but she only got $100. What was the percent error?
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Amt of error:: $50
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% error:: 50/150 = 1/3 = 33 1/3%
Answer:
<u>x = -8</u>
4x + 8 = 2x - 8
3x + 4 = 2x - 4
2x + 16 = x + 8
x - 1 = 2x + 7
17x + 36 = 16x + 28
13x + 2 = 12x + 11
.......
(this is infinite)
As long as it cancels out to x = -8
Answer:

Step-by-step explanation:
We want to write the equation of a circle with a center at (3, -2) and a radius of 6 units.
Recall that the equation of a circle is given by:

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
Since our center is at (3, -2), <em>h</em> = 3 and <em>k</em> = -2. <em>r</em> = 6. Substitute:

Simplify:

In conclusion, the equation of the circle will be:
