Answer:
First backpacker should receive $4 and the second one $2
Step-by-step explanation:
notice that the total amount of rice for the three is 600 g.
Then, the first one that gave 400 g contributed 400 out of 600, that is 400/600 = 2/3
The second one contributed 200 out of 600, that is 200/600 = 1/3
then the first one should receive 2/3 of the $6 = (2/3) x 6 = $4
and the second one should receive 1/3 of the %6 = (1/3) x 6 = $2
Answer:
122,850 yd³
Step-by-step explanation:
The polyhedron is a right triangle prism
Area of the right triangle prism = ½*a*c*h
a = 91 yd
c = 60 yd
h = 45 yd
Volume = ½*91*60*45
= 122,850 yd³
Answer:
340
Step-by-step explanation:
860 ÷ 2 = 430
430 - 90 = 340
Using the Law of Sines, sina/A=sinb/B=sinc/C (although there are other ways considering that this is a 30, 60, 90 degree triangle with a basic identity) we can say:
97/sin60=x/sin30=y/sin90
x=97sin30/sin60 and y=97sin90/sin60
The total height of the tree is h=x+y so
h=97sin30/sin60 + 97sin90/sin60
h≈168.01 ft (to the nearest hundredth of a foot)
h≈168 ft (to nearest foot)
Actual cost of the car bought by Alvarez family = $2000
Amount of down payment made by the Alvarez family = $500
Outstanding amount
that has to be paid by the Alvarez family = (2000 - 500) dollars
= 1500 dollars
Number of equal payments to pay the outstanding balance = 5
So
Payment that has to be made
by the Alvarez family in 5 equal parts = 1500/5 dollars
= 300 dollars
So the Alvarez family has to make 5 payments of $500 to complete the outstanding amount of the car. I hope the procedure is clear enough for you to understand.