Answer:
<em>The speed of the plane in still air is 590 mph</em>
<em>The speed of the wind is 20 mph</em>
Step-by-step explanation:
Let's call:
x = Speed of the plane in still air
y = Speed of the wind
The plane traveled d=4575 miles with the wind in t=7.5 h. The speed calculated with this data corresponds to the sum of the speed of the plane and the speed of the wind, thus:
x + y = 610 [1]
The plane traveled 4275 miles in 7.5 hours against the wind, thus the speed calculated is x - y:
x - y = 570 [2]
Adding [1] and [2]:
2x = 610 + 570 = 1180
x = 1180 / 2 = 590
From [1]:
y = 610 - 590 = 20
The speed of the plane in still air is 590 mph
The speed of the wind is 20 mph
Answer:
Step-by-step explanation:
Price per pound of the walnuts = $ 6.50
Price of 4 pounds of the walnuts = 4 *6.50 = $ 26
Amount needs to be paid = Price of 4 pounds of walnut - coupon amount
= 26 - 3.75
= $ 22.25
Expression:
Cost to buy p pounds of walnuts = p * 6.50 = 6.5p
Cost to buy p pounds of walnuts, assuming at least one pound is purchased = 6.50 + 6.5p
<em><u>Using</u></em><em><u> </u></em><em><u>mid</u></em><em><u> </u></em><em><u>point</u></em><em><u> </u></em><em><u>formula</u></em><em><u>.</u></em>
In which we have
Q(-4,5)=(6+x/2) , (2+y/2)
-4=6+x/2 and 5 =2+y/2
-8=6+x and 10=2+y
x=-14 and y=8
Therefore the required value of R{-14,8}
Answer:
Step-by-step explanation:
First your going to plug in what p and q are into the equation so 3(2)^5+10(-3)^2 over 7(2)+1.
Your going to first do (2)^5 and (-3)^2 so it’s going to be 3(32)+10(9) over (multiply the 7(2) first) 14+1.
3(32)+10(9) over 14+1 now multiply 3(32) and 10(9) you should get (96)+(90) over 15.
add 96+90 to get 186 over 15.
then divide how many times 15 can go into 186 you should get 12 6/15 and divide 6/15 by 3 to get your final answer 12 2/5.
I hope this helps!
It is 10.2 centimeters so option A :)
