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Otrada [13]
1 year ago
15

Jay went to an amusement park. the park charges an entrance fee of $10.50 and $4.50 for every ride. jay spent $46.50 on entrance

fees and rides. which fuction can be used to find the number of rides he went on? f (x) = 4.5 x + 10.5 f (x) = 4.5 x f (x) = 4.5 x minus 10.5 f (x) = negative 4.5 x
Mathematics
1 answer:
Illusion [34]1 year ago
6 0

The function that can be used to find the number of rides Jay went on is, <u>f(x) = 4.5x + 10 = 46.5</u>. Hence, the <u>first option</u> is the right choice.

Also, on solving the function we get that, Jay went on <u>8 rides</u>.

We assume the number of rides Jay spent to be x.

The cost of each ride is given to be $4.50.

Thus, the total amount Jay spent on rides = $4.50x.

The entrance fee to the park is given to be $10.50.

Thus, the total expenditure of Jay can be shown as $(4.5x + 10.5).

But, in the question we are given that Jay spend $46.50 altogether.

Thus, the function to find the number of rides Jay went on can be shown as:

f(x) = 4.5x + 10 = 46.5.

Hence, the first option is the right choice.

To find the number of rides he went, we can solve this function as:

4.5x + 10 = 46.5,

or, 4.5x = 46.5 - 10.5 = 36,

or, x = 36/4.5 = 8.

Thus, Jay went on 8 rides.

Learn more about functions at

brainly.com/question/6073787

#SPJ4

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Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}

<h3><u>Volume of a pyramid</u></h3>

<u />

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Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

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Therefore:

\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}

<h3><u>Volume of the garden shed</u></h3>

\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}

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1 year ago
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Zolol [24]

The square root of 1764 using perfect factors is 42

<h3>How to determine the square root using perfect factors?</h3>

The number is given as:

1764

Rewrite as

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