In one day, Mr. Stevens painted 1/5 of a house.
Each son paints 1/4.5 of a house in one day.
If Mr. Stevens and his two sons work together, the would paint (1/5+1/4.5+1.4.5)=(9/45+10/45+10/45)=29/45 of a house in one day.
It will take them 1/(29/45)=45/29 days to finish painting the house, assuming their work is additive, like no waiting for drying for the second coat, etc.
Answer:
The parallel line would be y = -x - 6
Step-by-step explanation:
In order to find the parallel line, we must first start with the slope. The slope of parallel lines must be equal. The first line has a slope of -1. Using this and the new point in slope intercept form, we can solve for the intercept.
y = mx + b
2 = -1(-8) + b
2 = 8 + b
-6 = b
Now we can model the equation using that slope and the intercept.
y = -x - 6
Answer:
4%
Step-by-step explanation:
Let y% of 5x is equal to 
Note that both scenarios are similar, the only difference is that in scenario 1, the selected card is not returned to the deck and in scenario 2 the card is returned to the original deck.
Therefore, scenario 1 is dependent, since it "depends" on the selected cards before. If on the first attempt you have 13 blacks and 13 reds and you select a red one, then for the second attempt you will have 13 blacks and 12 reds, so this time you will have more chances of getting a black card. Scenario 2 is independent, because when you return the selected card to the deck you will always have 13 red and 13 black cards in each attempt, so each event will be independent of the previous one. Finally, as it was explained above the probability of selecting two red faces are different in each scenario
Answer:
B. (1/2, 3)
Step-by-step explanation:
It is perhaps easiest to try the point values in the equations.
A — 4·2+1 = 9; -2·2 +4 ≠9 . . . . not the answer
B — 4·1/2 +1 = 3; -2·(1/2) +4 = 3 . . . . this is the answer
we need go no further since we have the answer
