Let K and T be the speeds of Kirk and Thor respectively.
Note the standard definition that d=vt, distance equals velocity times time.
t=d/v
For Kirk, t=525/(T+5)
For Thor, t=490/T
Since we are told that they have traveled the same amount of time we can say t=t which leaves us:
525/(T+5)=490/T multiply both sides by T
525T/(T+5)=490 multiply both sides by T+5
525T=490T+2450 subtract 490T from both sides
35T=2450 divide both sides by 35
T=70
So Thor's average speed is 70kph, since K=T+5
K=75kph
So Kirk's average speed is 75kph
Answer:
(a) yes
(b) 104% profit
Step-by-step explanation:
250 apples for $22,500 (were they gold?)
Part 1:
50x$120=$6000
Part 2:
200 sold at $1000 per 5 apples=200/5x1000=$40,000
$40,000+$6000=$46,000
A profit of $23,500
23500/22500=1.044 or 104% profit
Answer:
Break-even point in units= 40
Step-by-step explanation:
Giving the following information:
Unitary variable cost= $20
Selling price per unit= $30
Fxed costs= $400
<u>To calculate the break-even point in units, we need to use the following formula:</u>
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 400 / (30 - 20)
Break-even point in units= 40
Answer:
3060 ![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
Step-by-step explanation:
<u>Find the cross-sectional area first of the trapezium</u>
![\frac{1}{2} (a+b)h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%28a%2Bb%29h)
So, ![\frac{1}{2}(6+34)15](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%286%2B34%2915)
which is 40 / 2 x 15 = 20 x 15 = 300 ![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
Since there are 2 trapeziums (on the front and back): 300 x 2 = 600![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
<u>Find the Area of the Rectangles</u>
The first rectangle on the top would be: 6x30 = 180 ![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
The slanted rectangle on the right would be: 25x30 = 750 ![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
The rectangle on the bottom would be: 30x34 = 1020 ![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
The hidden rectangle on the left would be: 17 x 30 = 510 ![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
So by combining all these calculations, you will get the total surface area which is:
600 + 180 + 750 + 1020 + 510 = 780 + 1770 + 510 = 2550 + 510 = 3060 ![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
Area =a*h/2
Area = 3x*8/2
Area = 12x
Perimeter =a+b+c
a= 8
b=x+9
c= 4X-3
Perimeter =(8)+(x+9)+(4x-3)
Perimeter =8+x+9+4X-3
Perimeter =5x+14
Answer: 12x; 5x+14