Answer:
3 gallons, 3 quarts
Step-by-step explanation:
There are four quarts in each gallon. 15 quarts is the same as 3(4) + 3 quarts, or 3 gallons, 3 quarts. Note that 16 quarts would be the equivalent of 4 gallons.
What are you asking?
if it's possible?
Answer:
31,250 ft²
Step-by-step explanation:
Let x represent the length of fence parallel to the river. Then the ends of the rectangle will have dimesion (500-x)/2, and the total area will be ...
... A = x(500-x)/2
This function describes a parabola with zeros at x=0 and x=500. The vertex (maximum) will be located halfway between these, at x=250.
The maximum size pen has area ...
... A = 250(500 -250)/2 = 31,250 . . . . sq ft
Answer:
30
Step-by-step explanation:
This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).
The attached image shows the points and segments joining them.
PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).
PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.
The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.
![(\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2](https://tex.z-dn.net/?f=%28%5Ctext%7Bleg%7D%29%5E2%2B%28%5Ctext%7Bleg%7D%29%5E2%3D%28%5Ctext%7Bhypotenuse%7D%29%5E2)
![(QR)^2=5^2+12^2=25+144=169\\QR=\sqrt{169}=13](https://tex.z-dn.net/?f=%28QR%29%5E2%3D5%5E2%2B12%5E2%3D25%2B144%3D169%5C%5CQR%3D%5Csqrt%7B169%7D%3D13)
The perimeter of the triangle is 5 + 12 + 13 = 30
Answer:
![y=45+60x](https://tex.z-dn.net/?f=y%3D45%2B60x)
Step-by-step explanation:
Step one:
given data
The charge is $45 to install the cable box and $60 for each month of service
Required
The linear expression for the situation.
Step two:
let the number of months be x and let the total charges be y
Hence the expression for the total charges is
![y=45+60x](https://tex.z-dn.net/?f=y%3D45%2B60x)