The total of all the purchases is $73.94. The remaining balance on the card is $26.06. Hope this helps!
The height of the building is calculated by representing 1 inch as 8 feet. The final building has a height of 20 feet.
<h3>What is
scaling?</h3>
Scaling is the increase or decrease in the height of an object by a scale factor k.
Given that the scale used is:
1 inch = 8 feet. Hence:
Since the height of the building is 2.5 in, hence:
Height of the final building = 2.5 in * 8 ft per 1 in = 20 feet
The height of the final building is 20 feet.
Find out more on scaling at: brainly.com/question/25722260
Given the equation - x² + 5x = 3, which can be rewritten as:
- x² + 5x - 3 = 0
where a = -1, b = 5 and c = -3.
Quadratic formula:
![\frac{-b\text{ }\pm\text{ }\sqrt[]{b^2\text{ - 4ac}}}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%5Ctext%7B%20%7D%5Cpm%5Ctext%7B%20%7D%5Csqrt%5B%5D%7Bb%5E2%5Ctext%7B%20-%204ac%7D%7D%7D%7B2a%7D)
Now, we just replace the values of a, b and c on the equation above.
![\frac{-5\text{ }\pm\text{ }\sqrt[]{5^2\text{ - 4(-1)(3)}}}{2(-1)}](https://tex.z-dn.net/?f=%5Cfrac%7B-5%5Ctext%7B%20%7D%5Cpm%5Ctext%7B%20%7D%5Csqrt%5B%5D%7B5%5E2%5Ctext%7B%20-%204%28-1%29%283%29%7D%7D%7D%7B2%28-1%29%7D)
=
7.32 meters. i hope this helps