Length = 12 m and width = 
m.
Solution:
Let the width of the rectangle be w.
Length of the rectangle = 2w + 5
Area of the rectangle given = 42 m²
<em>Area of the rectangle = length × width</em>
length × width = 42
(2w + 5) × w = 42
Subtract 42 from both sides, we get
Using quadratic formula,
Here, 
Dimension cannot be in negative, so neglect w = –6.
Width of the rectangle = m
Hence length = 12 m and width = m.
Answer: 1/3
Step-by-step explanation:
Number of red marbles = 5
Number of blue marbles = 9
Number of yellow marbles = 8
Number of and black marbles = 6
Total number of marbles = 28
If Taylor pulled out a yellow one and didn't replce it, there'll be 27 marbles left since one has been removed, then the probability of picking blue marbles will be:
= Number of blue marbles / Total marbles
= 9 / 27
= 1/3
The probability of picking a blue marble is 1/3.
15
63 x 5 = 315
315/20 = 15.75
hence, 15 $20 bills
Answer:
The inequality for each quantity described is given as follows;
0 ≤ A + B + C + D + E ≤ 50
Step-by-step explanation:
The given information are;
The number of players each team can have = between 3 and 5
The maximum number of points a player can score in each round of the game = 10 points
The number of players in Elena's team = Elena + 4 = 5 players
The total number of points Elena's team earns at the end of the round is given as follows;
0 ≤ A + B + C + D + E ≤ 5 × 10
Where the variables A, B, C, D, and E are the points each of Elena and are makes such that the minimum points is 0 + 0 + 0 + 0 + 0 = 0 and the maximum point is 10 + 10 + 10 + 10 + 10 = 5 × 10 = 50, which gives;
0 ≤ A + B + C + D + E ≤ 50.
Answer:
3x -2y = -14
Step-by-step explanation:
The parallel line will have a new constant that can be found by substituting the given point for x and y.
-3x +2y = -3(0) +2(7) = 14
An equation for the parallel line is ...
-3x +2y = 14
__
In standard form, the leading coefficient is positive, so the standard form equation is ...
3x -2y = -14
