P = 2(L + W)
P = 58
L = 3W + 1
58 = 2(3W + 1 + W)
58 = 2(4W + 1)
58 = 8W + 2
58 - 2 = 8W
56 = 8W
56/8 = W
7 = W <=== width is 7 inches
L = 3W + 1
L = 3(7) + 1
L = 21 + 1
L = 22 <=== length is 22 inches
Answer:
<h2>x = 35</h2>
Step-by-step explanation:
Because the angles are vertical angles, they must be equal.
3x + 7 = 112
3x = 105
x = 35
Check
3(35) + 7 = 112
112 = 112 Correct
Answer:
Step-by-step explanation:
xy = 42
x+y = - 2 Substitute into the top equation
y = -2 - x Put in for y
x(-2 - x) = 42 Remove the brackets
-2x - x^2 = 42 Subtract 42 from both sides.
-2x - x^2 - 42 = 0 Put in the more normal order.
-x^2 - 2x - 42 = 0 Multiply by -1
x^2 + 2x + 42 = 0
This cannot be factored. It gives complex roots as it is written. I will give you the answer but I kind of doubt the question is correct.
x1 = - 1 + 6.40i
x2 = -1 - 6.40i
Leave a comment if you have a correction.
9/20 can equal 45 percent.
Answer:
Mean x¯¯¯ 2.2
Median x˜ 1
Range = 9
Q1 --> 0
Q2 --> 1
Q3 --> 3
Interquartile range: 3
Mean Absolute Deviation (MAD): 2.08
Standard deviation : 2.71
Step-by-step explanation:
1. Number of absent students:
0,1,1,0,3,2,5,1,9,0
Find the:
Mean
0, 0, 0, 1, 1, 1, 2, 3, 5, 9/10
= 22/10
= 2.2
Median
0, 0, 0, 1), 1, 1, (2, 3, 5, 9
= 1 + 1/2
= 2/2
= 1
Lower quartile
Upper quartile
Range
= 9 - 0
= 9
Interquartile range = 3
Mean absolute deviation = 2.08
Standard deviation = 2.71