Answer:
The car will travel 29 1/3 miles in 44 minutes, 40 miles in an hour.
Step-by-step explanation:
First, find how far the car can travel in one minute.
(1 1/2)/(2 1/4)=(2/3)
Then multiply the amount of time in minutes.
(2/3)*44= 29 1/3
(2/3)*60=40
The volume of the pool is 1.74*10^8 cubic meters
To solve this problem, we convert the volume of the water from gallons to m^3.
<h3 /><h3>Conversion of Unit</h3>
This is done to convert one unit of a substance to another unit of that particular substance. In this question, we are converting from gallon - meter cube
Data;
- v =

let's solve for v

cross multiply both sides and solve for the volume in cubic meters

The volume of the pool is 1.74*10^8 cubic meters
Learn more on conversion of unit here;
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The cost per foot of redwood and of pine is $3.5 and $1.5 respectively.
<h3>How to solve simultaneous equation?</h3>
let
- cost of redwood = x
- cost of pine = y
50x + 70y = 280
100x + 60y = 440
Multiply (1) by 2
100x + 140y = 560
100x + 60y = 440
subtract to eliminate x
80y = 120
y = 120/80
y = $1.5
substitute y = 1.5 into (1)
50x + 70y = 280
50x + 70(1.5) = 280
50x + 105 = 280
50x = 280 - 105
50x = 175
x = 175 / 50
x = $3.5
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The recursive formula of the sequence is aₙ = aₙ₋₁ - 30
<h3>How to determine the
recursive formula of the sequence?</h3>
From the question, we have the following sequence that can be used in our computation:
67 ,37 ,7, -23, -53
In the above sequence, we can see that the 30 is subtracted from the previous term to get the current term
Using the above as a guide,
So, we have the following representation
aₙ = aₙ₋₁ - 30
The above represents the recursive rule
Hence, the recursive rule of the function is aₙ = aₙ₋₁ - 30
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