324.60 I hope this helps you
The value of x is 35
<h3>What are algebraic expressions?</h3>
Algebraic expressions are expressions consisting of variables, terms, constants and factors.
They are also made up of arithmetic operations such as addition, subtraction, multiplication, division, etc.
We have that;
5(x+20)= 7x+30
expand the bracket
5x + 100 = 7x + 30
collect like terms
5x -7x = 30 - 100
add like terms
- 2x = -70
Make 'x' the subject
x = -70/ -2
x = 35
Thus, the value of x is 35
Learn more about algebraic expressions here:
brainly.com/question/4344214
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If x = 2, the perimeter is 129 inches.
Answer:
Not a proper question. But I think it's a 5
Answer:
The angular speed is 3,227 rad/min
Step-by-step explanation:
Remember that
1 mile=63,360 inches
step 1
Find the circumference of the wheels
The circumference is equal to
![C=\pi D](https://tex.z-dn.net/?f=C%3D%5Cpi%20D)
we have
![D=36\ in](https://tex.z-dn.net/?f=D%3D36%5C%20in)
substitute
![C=\pi (36)](https://tex.z-dn.net/?f=C%3D%5Cpi%20%2836%29)
![C=36\pi\ in](https://tex.z-dn.net/?f=C%3D36%5Cpi%5C%20in)
step 2
we know that
The speed of the wheel is 55 mi/h
<em><u>Convert to mi/min</u></em>
55 mi/h=55/60 mi/min
<u><em>Convert to in/min</em></u>
(55/60) mi/min=55*63,360/60 in/min= 58,080 in/min
we know that
The circumference of the wheel subtends a central angle of 2π radians
so
using proportion
Find out how much radians are 58,080 inches
![\frac{36\pi }{2\pi }=\frac{58,080}{x} \\\\x=2*58,080/36\\\\x=3,226.67 \ rad](https://tex.z-dn.net/?f=%5Cfrac%7B36%5Cpi%20%7D%7B2%5Cpi%20%7D%3D%5Cfrac%7B58%2C080%7D%7Bx%7D%20%5C%5C%5C%5Cx%3D2%2A58%2C080%2F36%5C%5C%5C%5Cx%3D3%2C226.67%20%5C%20rad)
therefore
The angular speed is 3,227 rad/min