Answer:
System of equations:
L = 5W + 7
2W + 2L = P
L = 62 cm
W = 11 cm
Step-by-step explanation:
Given the measurements and key words/phrases in the problem, we can set up two different equations that can be used to find both variables, length and width, of the rectangle.
The formula for perimeter of a rectangle is: 2W + 2L = P, where W = width and L = length. We also know that the L is '7 more than five times its width'. This can be written as: L = 5W + 7. Using this expression for the value of 'L', we can use the formula for perimeter and solve for width:
2W + 2(5W + 7) = 146
Distribute: 2W + 10W + 14 = 146
Combine like terms: 12W + 14 = 146
Subtract 14 from both sides: 12W + 14 - 14 = 146 - 14 or 12W = 132
Divide 12 by both sides: 12W/12 = 132/12 or W = 11
Put '11' in for W in the equation for 'L': L = 5(11) + 7 or L = 55 + 7 = 62.
Answer:
Range, median & mean .....
Answer:
Step-by-step explanation:
m + j + s = 37
j = 2s......s = j/2 or 1/2j
m = j + 2
(j + 2) + j + (1/2j) = 37
2j + 1/2j = 37 - 2
2j + 1/2j = 35....multiply everything by 2 to get rid of the fraction
4j + j = 70
5j = 70
j = 70/5
j = 14 < ==== Jan is 14
m = j + 2
m = 14 + 2
m = 16 <==== marcia is 16
s = 1/2j
s = 1/2(14)
s = 14/2
s = 7 <==== sydney is 7
