Answer:
The teacher can purchase 61 pencils with $5
Step-by-step explanation:
This is a simple proportion problem. It can be solved by pure logic reasoning without any formulas
It a dozen pencils cost $0.97, each pencil cost $0.97/12=0.08083
With $5 she will be able to purchase 5/0.08083=61.85 pencils
We must round to the nearest lower integer
The teacher can purchase 61 pencils with $5
Answer:
There are 7 teams in the league
Step-by-step explanation:
Given that the number of games is given by:
The equation will be used to determine the number of games. As we already know, that 21 games are scheduled which means G(n) is 21 so we have to find n when G(n) is 21
Putting this mathematically
Multiplying equation by 2
As the number of teams cannot be negative, the number of teams in league are 7.
Hence,
There are 7 teams in the league
TanB has a ratio of 8/15 because it is opposite over adjacent.
Answer:
1/2.
Step-by-step explanation:
Probability totals must add up to 1.
P = probability.
If P(any number other than 6) = x, then P(6) = 3x, so
3x + 5x = 1
x = 1/8
P(6) = 3/8 and P(not 6) = 1/8
Therefore P(6 or 1) = 3/8 + 1/8 = 1/2 (answer).
Answer:
no solution
Step-by-step explanation:
x+3y =9
Solve for y
Subtract x from each side
3y = -x +9
Divide by 3
3y/3 = - 1/3x +9/3
y = -1/3x +3
The y intercept is 3 and the slope is -1/3
3x+9y = 45
Subtract 3x from each side
9y = -3x +45
Divide each side by 9
y = -3/9 x +45/9
y = -1/3x +5
The y intercept is 5 and the slope is -1/3
There is no solution
The lines are parallel (same slope) but the y intercepts are different
