To start, let x represent the width and x+100 represent the length. Since the perimeter of a figure is the sum of all the measurements of the side which can be represented by (x+100)+(x+100)+x+x and since you know your perimeter is 1220, you can set the expression equal to 1220. This would look like this:
(x+100)+(x+100)+x+x=1220
Once you have done that, combine any like terms (combine terms with the same variables and raised to the same power together) which would simplify to this:
4x+200=1220
Now that you have your like terms simplified, subtract 200 from both sides to get 4x=1020 and finally, to solve for x, or find the width, divide both sides by 4 to get x=255.
Now that you have your width, now you must find your length as the question asks to find the dimensions of the rectangular field. To find the length, add 100 to the width, 255 since according to the information given, the length is 100 more than the width. When you add 100 to 255, you should get that your length is 355.
Now that you have your length and width, you can conclude that the dimensions of the field is 255 by 355 feet, which is your answer :)
Answer:
(a) Dahl Motors = 8 Cars
Farthington Auto Sales = 7 Cars
(b) Roger will purchase from Farthington Auto Sales with higher weekly profit
Step-by-step explanation:
Dahl Motors / Week
(1) Car Sold 5 6 7 8 9 10 11 12
(2) Probability 5% 9% 14% 24% 18% 14% 11% 5%
(3) (2 x 3 ) 0.25 0.54 0.98 1.92 1.62 1.40 1.21 0.60
(4) Average sales = 0.25 + 0.54 + 0.98 + 1.92 + 1.62 + 1.40 + 1.21+0.60
= 8.52 cars/ week
= 8 cars /week
Profit/ Car = $544
Total weekly profit = 544 x 8
= $4,352
Farthington Auto Sales/ Week
(1) Car Sold 5 6 7 8 9 10
(2) Probability 8% 21% 31% 24% 10% 6%
(3) (2 x 3 ) 0.40 1.26 2.17 1.92 0.9 0.6
(4) Average sales = 0.40 + 1.26 + 2.17 + 1.92 + 0.90 + 0.60
= 7.25 cars/ week
= 7 cars/week
Profit/ Car = $651
Total weekly profit = 651 x 7
= $4,557
From the calculations above , Roger will purchase from Farthington Auto Sales
Step-by-step explanation:
The steam-powered locomotive revolutionized commercial transportation by providing a durable, faster, cheaper way to move goods. The Governor Stanford was the first train on the Central Pacific, which became the first transcontinental railroad line in 1869 when it was joined with the Union Pacific.
Answer:
Step-by-step explanation:
Rule defining the reflection across the line x = -2 has been given as,
Line x = -2 will work as a mirror for the given triangle J, K, L.
That means distance of the vertices J, K and L and image points J', K' and L' will be equidistant from the line x = -2,
Vertices of the image triangle J'K'L' will be,
J' → (-5, 2)
K' → (-3, 2)
L' → (-4, 1)
