Answer:
He needs one more quart
Step-by-step explanation:
<span>v = 45 km/hr
u = 72 km/hr
Can't sketch the graph, but can describe it.
The Y-axis will be the distance. At the origin it will be 0, and at the highest point it will have the value of 120. The X-axis will be time in minutes. At the origin it will be 0 and at the rightmost point, it will be 160. The graph will consist of 3 line segments. They are
1. A segment from (0,0) to (80,60)
2. A segment from (80,60) to (110,60)
3. A segment from (110,60) to (160,120)
The motorist originally intended on driving for 2 2/3 hours to travel 120 km. So divide the distance by the time to get the original intended speed.
120 km / 8/3 = 120 km * 3/8 = 360/8 = 45 km/hr
After traveling for 80 minutes (half of the original time allowed), the motorist should be half of the way to the destination, or 120/2 = 60km. Let's verify that.
45 * 4/3 = 180/3 = 60 km.
So we have a good cross check that our initial speed was correct. v = 45 km/hr
Now having spent 30 minutes fixing the problem, out motorist now has 160-80-30 = 50 minutes available to travel 60 km. So let's divide the distance by time:
60 / 5/6 = 60 * 6/5 = 360/5 = 72 km/hr
So the 2nd leg of the trip was at a speed of 72 km/hr</span>
Answer:
Incremental cost of buying = $2.50
Step-by-step explanation:
Cost per unit;
Direct materials = $10.30
Direct labor = $24.30
Overhead = $16.30
Total Overhead cost = 10.30 + 24.30 + 16.30
= $50.90
Where the item is purchased,
Total cost = $46.88 + (40% × 16.30)
= $46.88 + $6.52
= $53.40
Cost difference = $53.40 - $50.90
= $2.50
There is an incremental cost of buying. This amounts to $2.50
The expression for the perimeter of the rectangle is 2(11c - 11d)
Perimeter of a rectangle = 2(length + width)
Length = 3c - 9d
Length = 3c - 9d Width = 8c - 2d
The expression for the perimeter can be expressed thus :
2(3c - 9d + 8c - 2d)
Collect like terms :
2(3c + 8c - 9d - 2d)
2(11c - 11d)
Hence, the expression for the perimeter of the rectangle is 2(11c - 11d)
Learn more : brainly.com/question/2142493?referrer=searchResults
<h2>'
' in the form of
- b.</h2>
Step-by-step explanation:
We have,
+ 8x + 15
To express
+ 8x + 15 in the form of
- b = ?
∴
+ 8x + 15
Adding and subtracting 1, we get
=
+ 8x + 15 + 1 - 1
=
+ 8x + 16 - 1
=
+ 2(x)(4) +
- 1
Using the algebraic identity,

= 
Thus,
in the form of
- b.