Answer:
2
litres or 2.5 litres
Step-by-step explanation:
From the question, 9 fruit juice bottles contain 4 litres of fruit juice. Therefore, to find how many litres of fruit juice would be contained in 5 fruit juice bottles, you multiply 5 by 4 litres and you divide the product by 9.
i.e. Let the quantity of the fruit juice for 5 bottles be x.
9 juice bottles ===> 4 litres
5 juice bottles ===> x
∴x = 
x = 
x = 
x = 2.5 litres or 2 litres
Hope this helps!!!
$23,152.50
Start: $20,000
1st year: $20,000 + $1,000.00 = $21,000
2nd year: $21,000 + $1,050.00 = $22,050
3rd year: $22,050 + $1,102.50 = $23,152.50
Answer: B) $47/week
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Explanation:
Because the graph goes through the origin, we can simply divide the y value over the x value. Do so for any point on the diagonal line.
For example, picking (x,y) = (2, 94) leads to k = y/x = 94/2 = 47 being the constant of proportionality and also the amount of savings per week.
You can think of it like this:
2 weeks = $94 in savings
2/2 weeks = $94/2 in savings ... divide both sides by 2
1 week = $47 in savings
leading to the savings rate of $47 per week
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Side note: This linear equation is y = 47x. It is in the form y = kx with k = 47. It is a direct proportion equation. The constant of proportionality is also the slope. All direct proportion equations are linear and go through the origin.
Answer:
-1.92 cm³
Step-by-step explanation:
The formula for the volume of a cube in terms of side length is ...
V = s³
Then the first-order approximation of volume for a small change ∆s in side length is ...
V(s +∆s) ≈ V(s) + V'(s)·∆s
and the change in volume is ...
∆V ≈ V(s +∆s) -V(s) = V'(s)·∆s
The derivative V'(s) is ...
V'(s) = 3s²
so the change in volume for s = 8 cm and ∆s = -0.01 cm is ...
∆V ≈ 3s²·∆s = 3(8 cm)²(-0.01 cm) = -1.92 cm³
A round trip is twice the distance herein;
So, (280*2) feet
=560 feet
