Answer: 7/12 portion
Explanation:
Jack can paint:
1 house = 3hr
1/3 portion= 1hr
Jill can paint:
1 house = 4hr
1/4 portion = 1hr
Both of them together can paint in 1 hour:
1/3 + 1/4 = 3/12 + 4/12 = 7/12 portion in 1hr
Count the negative signs, if you get an odd number of negative signs, the product is a negative. If you get an even number of negative signs, the product is a positive.
in this case, there are two negatives, the the product is a positive number
Answer: B=16 and m=6
Step-by-step explanation:
in y=mx+b the number next to x is always the m/slope and the number without a variable is always the b.
First of all, let's consider the line, since it's simpler to graph: we draw the endpoints and connect them:
So, you just need to draw the points
As for the trigonometric function, we have to start from the parent function 
and derive the graph of its child function via transformations:
- When we multiply the whole function by 2, we stretch the graph vertically. So, the function has still period
, but now it ranges from -2 to 2 instead of from -1 to 1 (amplitude 2) - When we multiply the argument by 2, we compress the function horizontally. So, the new period becomes
, and the function makes two complete oscillations from 0 to
You can see the two functions in the image below. You can also see that the two graphs cross 4 times, meaning that the equation
has four solutions.
Answer:
1. 8 bags of rice
2. $1.50 per bag
3. $30
Step-by-step explanation:
For #1, you set up the proportion 3 over 2 is equal to 12 over x and solve by cross multiplication. Then, you should get the answer of 8 bags. For #2, you do $3 divided by 2 to get the answer of $1.50. For #3, you use your answer from #2 and do 1.5 times 20 to get $30.
