Answer:
- plane: 530 mi/h
- wind: 40 mi/h
Step-by-step explanation:
Let p and w represent the speeds of the plane and the wind. The relation between time, speed, and distance is ...
speed = distance/time
p +w = (2565 mi)/(4.5 h) = 570 mi/h
p -w = (2205 mi)/(4.5 h) = 490 mi/h
Adding these speeds, we get ...
(p +w) +(p -w) = (570) +(490) mi/h
2p = 1060 mi/h
p = 530 mi/h
Then the speed of the wind is ...
w = 570 mi/h -p = (570 -530) mi/h = 40 mi/h
The plane's speed is 530 mi/h; the wind speed is 40 mi/h.
Answer:
254 cm² (to 3 s.f.)
Step-by-step explanation:
Area of shaded region
= area of large circle -area of smaller circle
Radius of large circle= 15cm
Radius of smaller circle= 12cm
Area of shaded region
= π(15²) -π(12²)
= 225π -144π
= 81π
= 81(3.14)
= 254.34
= 254 cm² (3 s.f.)
Answer:
change the division sign to a multiplication sign then flip the second fraction with the bottom on the top and the top on the bottom then multiply if its a improper fraction make it into a whole fraction
Step-by-step explanation:
Q 2/3 ÷ 3/7
1 change the divison sign
x = ÷
2 then the second fraction flip it
2/3÷7/3
3 then multiply the fraction
2/3 ÷ 7/3= 14/9 or 1 5/9
Five Hundred is in word form to put it in standard notation, we just write he number like so 500.
Step-by-step explanation:
<u>to show how many tickets were sold:</u>
x = upper floor tickets
y = main floor tickets
x + y = 2000
<u>to show total amount of revenue:</u>
25x + 40y = 62,000
<u>Finding answer using both equations:</u>
x + y = 2000
multiply each side by 25
25x + 25y = 2000 × 25
25x + 25y = 50,000
25x + 40y = 62,000
-
25x + 25y = 50,000
-----------------------------------
15y = 12,000
^ this is column subtraction
<em>^ this column subtraction is done to isolate y so we can work with one value rather than 2</em>
15y = 12,000
divide each side by 15
12,000 ÷ 15 = 800
y = 800
x + y = 2000
x + 800 = 2000
x = 1200
Therefore 1200 upper-level tickets were sold
800 main floor tickets were sold
