Answer:
Step-by-step explanation:
(x₁, y₁) = (-9 ,8) and (x₂ , y₂) = (-3 , -1)
![Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-1-8}{-3-[-9]}\\\\=\dfrac{-9}{-3+9}\\\\=\dfrac{-9}{6}\\\\=\dfrac{-3}{2}](https://tex.z-dn.net/?f=Slope%20%3D%20%5Cdfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-1-8%7D%7B-3-%5B-9%5D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-9%7D%7B-3%2B9%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-9%7D%7B6%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-3%7D%7B2%7D)
It is y = 3x + 2, which means the y-intercept is 2. :)
<h3>
Answer: 19 dimes</h3>
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Work Shown:
d = number of dimes
q = 32-d = number of quarters
$5.15 = 515 cents
10d+25q = 515
10d+25(32-d) = 515
10d+800-25d = 515
-15d+800 = 515
-15d = 515-800
-15d = -285
d = -285/(-15)
d = 19
There are 19 dimes. You can stop here if you want.
q = 32-d = 32-19 = 13
There are 13 quarters
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Check:
1 dime = 10 cents
19 dimes = 19*10 = 190 cents
1 quarter = 25 cents
13 quarters = 13*25 = 325 cents
total value = 190 cents + 325 cents = 515 cents = $5.15
The answer is confirmed.
Answer:
x = 52, y = 26
Step-by-step explanation:
x - 2y = 0
40 - y = 14
(40 - 40) - y = 14 - 40
- y = -26
y = 26
x - 2(26) = 0
x - 52 = 0
x (- 52 + 52) = 0 + 52
x = 52
Step-by-step explanation:
markup amount = 45% of $27
=> 45/100 * $27
=> $12.15
Now,
selling price = $27 + $12.15 => $39.15