What is the solution set for 7x – 3 = 18, given the replacement set {0, 1,2,3,4} ? O

Mathematics

1 answer:

yawa3891 [41]2 years ago

4 0

Answer:

X = 3

Step-by-step explanation:

Given the expression :7x - 3 = 18

To obtain the solution set ; we solve for X in the equation ;

7x - 3 = 18

Add 3 to both sides

7x - 3 + 3 = 18 + 3

7x = 21

Divide both sides by 7

7x / 7 = 21 / 7

x = 3

Hence, x = 3

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The diameter of each wheel of a bicycle is 27 inches. If you are traveling at a speed of 20 miles per hour on this bicycle, thro

klasskru [66]

Notice, you've got a diameter in inches
and a linear velocity in miles
thus, you'd need to convert first

$\bf v=rw\implies \cfrac{v}{r}=w\qquad 
\begin{cases}
v=\textit{linear speed}\\
r=radius\\
w=\textit{angular speed}\\
 --------------\\
v=20\frac{mi}{h}\\
r=\frac{diameter}{2}=\frac{27}{2}
\end{cases}
\\\\
\textit{now, converting 20miles to inches}
\\\\
\cfrac{20mi}{h}\cdot \cfrac{5280ft}{mi}\cdot \cfrac{12in}{ft}\implies \cfrac{20\cdot 5280\cdot 12\ in}{h}\impliedby v
\\\\\\
\cfrac{1267200\frac{in}{h}}{\frac{27}{2}in}=w$

now, whatever that is, you'll need to divide it by a revolution, recall, a revolution is $2\pi$
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