Answer:
see explanation
Step-by-step explanation:
Given the 3 equations
3x + 5y + 5z = 1 → (1)
x - 2y = 5 → (2)
2x + 4y = 11 → (3)
Use (2) and (3) to solve for x and y
Multiply (2) by 2
2x - 4y = 10 → (4)
Add (3) and (4) term by term
4x = 21 ( divide both sides by 4 )
x = 
Substitute this value of x into (3)
2 × + 4y = 11
+ 4y = 11 ( subtract from both sides )
4y = 
( divide both sides by 4 )
y = 
Substitute the values of x and y into (1) and solve for z
3 × + 5 × + 5z = 1
+ 
+ 5z = 1
+ 5z = 1 ( subtract from both sides )
5z = - 
( divide both sides by 5 )
z = - 
Solution is
x = , y = , z = -
9514 1404 393
Answer:
5
Step-by-step explanation:
To solve the inequality, we can do the following.
4.55g + 8.50 ≤ 35 . . . given
4.55g ≤ 26.50 . . . . . . subtract 8.50 from both sides
g ≤ 5.82... . . . . . . . . . . divide both sides by 4.55
The number of games must be an integer value, so the maximum number of games they can bowl is 5.
<span>You are given the following data and in order to answer the questions below, base your analysis in the given data.
Team Low High Range Mean Median IQR σ
Team A 22 58 36 42.1 44 18.25 10.35
Team B 38 49 11 43.9 44.5 3.5 2.97
Team C 27 36 9 31.8 32 3.75 2.55
Part A: If the club wants to award the team that has the most consistent scoring among its team members, the team that should it choose is Team B because it has only lesser points if it scored low, at 38 and it has the next to the highest score among the three team, which is 49. Also, the range of their performance is 43.9, a much better score than 42.1 in Team A and 31.8 in Team C.
Part B: If the club wants to award the team with the highest average score, </span>Team A because it has only lesser points if it scored low, at 22 and it has the highest score among the three team, which is 58.
Answer:
91
Step-by-step explanation:
Two similar polygons, means a similarity would exist in both polygons
- Perimeter of a rectangle = 2(l +w)
- Perimeter of the larger rectangle = 36 (because it's the largest figure)
- equation becomes 36 = 2(L + W)
- since L = 14, it becomes = 36 = 2(14 +W)
- 36 = 28 + 2W
- 2W = 36 - 28 = 2w = 8
Now we assume that since the rectangles are similar, they would have similar dimensions, in this case Width. so with this, we find length of smaller rectangle.
- 21 = 2(L + 4) = 21 = 2L + 8
lastly the product of the length of both polygons = 14 * 6.5 = 91.
Their Products length is 91
