Answer: b. y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
time spent on history homework: 20 minutes
time spent on each math problem: 2 minutes
math problem : x
total time spent :y
So, we have to multiply each math problem (x) by the time spent on each math problem and add the 20 minutes spent on history homework.
The expression obtained is equal to the total time spent
Mathematically speaking:
y=2x+20
x can be any real number greater than or equal to 0, ( it would be 0 if there aren't any math problems)
and y is any real number greater than or equal to 20. ( 20 minutes is the minimum time spent if there aren't any math problems)
The correct answer is A.
I think about it as -1(-g/-h).
Because both g and h in the fraction are negative, the negatives cancel out. You now have -1(g/h), which is -(g/h) just like the original.
The answer is not B because the negatives would cancel out, leaving you with (g/h).
The volume of a pyramid can be calculated as:
![V=\frac{1}{3}\cdot B\cdot H](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Ccdot%20B%5Ccdot%20H)
Where B is the area of the base and H is the height. We are given V = 60 cubic inches and H = 5 inches. Solving for B:
![B=\frac{3V}{H}](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B3V%7D%7BH%7D)
Substituting:
![B=\frac{3\cdot60in^3}{5in}=36in^2](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B3%5Ccdot60in%5E3%7D%7B5in%7D%3D36in%5E2)
The area of the base is 36 square inches.
We must choose the option whose area is 36 sq in.
A square of a side length of 6 inches has an area of:
![A=(6in)^2=36in^2](https://tex.z-dn.net/?f=A%3D%286in%29%5E2%3D36in%5E2)
Thus, the correct choice is D.