Mathematics: Ethan needs to save at least $500 to purchase a new dirt bike. so far, he has saved $175. if he hopes to use two-fifths of his next paycheck to cover the remaining amount, how much money must he make in his paycheck

Ethan needs to save at least $500 to purchase a

invocx

16.01.2022

$812.5

Step-by-step explanation:

Given: Ethan need to save at least $500.

He has saved so far $175

Ethan hope to use two-fifths of his next paycheck to cover the remaining amount.

Lets assume Ethan´s paycheck amount be "x"

First finding the remaining amount to be covered.

Remaining amount= $\$ 500 - \$ 175= \$ 325$

∴ The remaining amount to be covered is $325.

As given, Ethan hope to use two-fifths of his next paycheck to cover the remaining amount.

Now, using the inequality to find the amount of paycheck.

⇒ $x\times \frac{2}{5} \geq \$ 325$

multiplying both side by 5

⇒ $x\times 2\geq 325\times 5$

divinding both side 2

⇒ $x\geq \frac{1625}{2}$

∴ $x\geq \$ 812.5$

Hence, Ethan must make at least $812.5 in his paycheck to cover his remaining anount to buy dirt bike.

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laylay120

23.10.2022

69.3m

Step-by-step explanation:

-Given the base side length is 62m and the vertical height is 62m.

-The vertical height touches the square base at its midpoint. We therefore use half the base length and the height to calculate the slant heights.

#Using Pythagorean theorem:

$b^2+h^2=H^2, h=62, b=0.5\times 62=31\\\\H^2=62^2+31^2\\\\H=4805^{\frac{1}{2}}\\\\=69.32\approx69.3 \ m$

Hence, the heights of the triangular faces is 69.3m

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