Answer:
They are any number in front of a variable so like 4x 7y or 8z. 4, 7 and 8 are the coefficients. A number by itself is a constant. For example 3, 1 and 9 are constants.
Answer:
Step-by-step explanation:
Your cousin wants to buy a coat and can spend at most $95. This means that the total amount of money that he can spend in buying the coat would be lesser than or equal to $95.
He has a coupon for $20 off any coat. Let x represent the cost of the coat. The amount that he can pay for the coat will be x - 20.
The inequality to find the original prices of coats he can afford would be
x - 20 lesser than or equal to 95
Answer:
You just have to divide the equation by "x"'s coefficient (2).
2x/2=x
66/2=33
x=33
Step-by-step explanation:
Answer:
The volume of the solid is π/40 cubic units.
Step-by-step explanation:
Please refer to the graph below.
Recall that the area of a semi-circle is given by:

The volume of the solid will be the integral from <em>x</em> = 0 to <em>x</em> = 1 of area A. Since the diameter is given by <em>y</em>, then the radius is <em>y/2</em>. Hence, the volume of the solid is:

Substitute:

Simplify:

Integrate:
![\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20%5Cleft%5B%5Cfrac%7Bx%5E5%7D%7B20%7D%5CBig%7C_0%5E1%5Cright%5D)
Evaluate:

The volume of the solid is π/40 cubic units.