Caution: you need to use the same units of measurement throughout. If the spring stretches by 21 cm when a 135 newton object is attached, then you must ask for the mass (in newtons) of a fish that would stretch the spring by 62.1 cm.
We will need to assume that the spring is not stretched at all if and when no object is attached to the spring.
Write the ratio
21.0 cm 135 newtons
------------- = --------------------
62.1 cm x
Solve this for x. This x value represents the mass of a fish that would stretch the spring by 62.1 cm. You can cancel "cm" in the equation above:
21.0 135 newtons
------ = --------------------
62.1 x
Then 21.0x = (62.1)(135 newtons). Divide both sides of this equation by 21.0 to solve it for x.
Mike has 78 feet of fencing available for his garden, this is the perimeter (P) of the rectangle:
Perimeter: P=78 feet
The formula of Perimeter is:
P=2(W+L), where W is the width and L is the length, then:
P=78→2(W+L)=78
Dividing both sides of the equation by 2:
2(W+L)/2=78/2
W+L=39
If the shape is of a golden rectangle, we know:
L=1.6W
Replacing this above:
W+1.6W=39
Adding similar terms:
2.6W=39
Solving for W
2.6W/2.6=39/2.6
W=15 feet
L=1.6W=1.6(15)→L=24 feet
Answer: T<span>he dimensions of the garden are: Width=15 feet and Length=24 feet. </span>
Based on the commission that Xavier receives from Art Van Furniture, the total value of the furniture sold is $5,500.
<h3>How much furniture did Xavier sell?</h3>
The commission that Xavier earns on his first $1,000 should be removed to be:
= 930 - (12% x 1,000)
= $810
This value of $810 is 18% of the balance of Xavier's sales:
= 810 / 18%
= $4,500
Added to the first $1,000, Xavier's total sales are:
= 4,500 + 1,000
= $5,500
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0.8 or 4/5
Both are correct, but in different form.
Your welcome.
The table of the tolls for Henderson is the direct variation since the cost is proportional to the miles traveled.
