20 nickels = 1 dollar
So, do 20 x 17.
20 x 17 = 340 nickels which is $17.
The answer is 340 nickels!
Answer:
or ![x = \frac{5 - \sqrt{53}}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%20-%20%5Csqrt%7B53%7D%7D%7B2%7D)
Step-by-step explanation:
Given
![x^2 - 5x - 7 = 0](https://tex.z-dn.net/?f=x%5E2%20-%205x%20-%207%20%3D%200)
Required
Solve for x using:
![x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%5C%C2%B1%20%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B2a%7D)
First, we need to identify a, b and c
The general form of a quadratic equation is:
![ax^2 + bx + c = 0](https://tex.z-dn.net/?f=ax%5E2%20%2B%20bx%20%2B%20c%20%3D%200)
So, by comparison with ![x^2 - 5x - 7 = 0](https://tex.z-dn.net/?f=x%5E2%20-%205x%20-%207%20%3D%200)
![c = -7](https://tex.z-dn.net/?f=c%20%3D%20-7)
Substitute these values of a, b and c in
![x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%5C%C2%B1%20%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B2a%7D)
![x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-%28-5%29%20%5C%C2%B1%20%5Csqrt%7B%28-5%29%5E2%20-%204%20%2A%201%20%2A%20-7%7D%7D%7B2%20%2A%201%7D)
![x = \frac{5 \± \sqrt{25 +28}}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%20%5C%C2%B1%20%5Csqrt%7B25%20%2B28%7D%7D%7B2%7D)
![x = \frac{5 \± \sqrt{53}}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%20%5C%C2%B1%20%5Csqrt%7B53%7D%7D%7B2%7D)
Split the expression to two
or ![x = \frac{5 - \sqrt{53}}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%20-%20%5Csqrt%7B53%7D%7D%7B2%7D)
To solve further in decimal form, we have
or ![x = \frac{5 - 7.28}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B5%20-%207.28%7D%7B2%7D)
or ![x = \frac{-2.28}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-2.28%7D%7B2%7D)
or ![x = -1.14](https://tex.z-dn.net/?f=x%20%3D%20-1.14)
<em>Hi</em><em> </em><em>your</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>4</em><em>.</em><em>.</em>
<em>Please</em><em> </em><em>follow</em><em> </em><em>me</em><em>.</em><em>.</em>
Answer:
96.406%
Step-by-step explanation:
(61.7 ÷ 64) x 100 = 96.40625 = 96.406% (nearest hundredth)
B: step 2
You need to multiply the 7 with the 4.5