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baherus [9]
2 years ago
10

Lulu wants to get fit. She started with 50 laps a day and she intends to add 10 laps every week. Write a mathematical expression

for this statement.
Mathematics
1 answer:
Bumek [7]2 years ago
8 0

The mathematical expression for the given statement is 50 + 10x

<h3>How to write a mathematical expression for this statement?</h3>

The given parameters are:

Initial distance = 50 laps

Rate of increment = 10 laps each week

Represent the number of weeks with x

So, we have:

Number of laps = Initial distance + Rate of increment * Number of weeks

This gives

Number of laps = 50 + 10 * x

Evaluate

Number of laps = 50 + 10x

Hence, the mathematical expression for the given statement is 50 + 10x

Read more about expressions at:

brainly.com/question/723406

#SPJ1

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The width of billboard is "[x]" and the height of billboard is "[y"]. If total area of billboard is 9000 ft^2 then 9000=xy

Step-by-step explanation:

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• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)]  by excluding the margin of top and bottom from the total height.

• To find the printed area of billboard calculations are given below:

& 9000=xy

& y=\frac{9000}{x} \\  & A=(x-10)(y-6) \\  & A=xy-6x-10y+60 \\  & A=x\left( \frac{9000}{x} \right)-6x-10\left( \frac{9000}{x} \right)+60 \\  & A=9060-6x-\frac{9000}{x} \\

On taking the first order derivative of A

\[A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)\]

& \left( \frac{90000}{{{x}^{2}}} \right)-6=0 \\          & 6{{x}^{2}}=90000 \\          & x=\sqrt{15000} \\          & y=\frac{9000}{x}=\frac{90000}{\sqrt{15000}}=10\sqrt{150} \\

• Hence \[x=10\sqrt{150}\] and \[y=\frac{900}{\sqrt{150}}\]

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