2.4 pounds ............................................
Answer:
y = -4/7x + 2
Step-by-step explanation:
So to find the slope intercept form, you have to get the equation to look like: y=mx+b. To do that, you need y on one side and all of the other variable on the other side. So the first thing you have to do is subtract 4x from both sides to get
7y = 14 - 4x
To isolate the y, you have to divide both sides by 7 to get
y = 2 - 4/7x
Now, put this is y=mx+b to get
<u>y = -4/7x + 2</u>
Hope I Helped!!!
Answer:
401
Step-by-step explanation:
1. Approach
To solve this problem, one first has to think about the given figure in a certain way. In the figure, one can see that it is a circle attached on either side of a rectangle. To find the perimeter of the figure, one has to find the circumference of the circle and then add two sides of the rectangle to the answer
2. Circumference of the circle
The formula to find the circumference of a circle is;
(pi) or
(pi)
~ diameter times the value (pi)
Normally to find the circumference of a semicircle, one would have to divide this formula by 2, but since in this case, one has to add two congruent semicircles, so therefore, the effect of dividing the equation by two, only to multiply by two again cancels, and hence, there is no need to divide by 2.
Substitute in the values;
(78)(pi)
~ 245
3. Find the perimeter of the entire object
Now, one has to add the two additional sides of the figure, to the circumferences of the semicircles to get the final answer;
78 + 78 + 245
= 401
3b - 7 < 32
=> 3b < 32 + 7
=> 3b < 39
=> b < 39÷ 3
=> b < 13
Hope it helps !!!
Answer:
![721\ \frac{rev}{min}](https://tex.z-dn.net/?f=721%5C%20%5Cfrac%7Brev%7D%7Bmin%7D)
Step-by-step explanation:
step 1
Find the circumference of the wheel
The circumference of a circle is equal to
![C=2\pi r](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r)
we have
![r=14\ in](https://tex.z-dn.net/?f=r%3D14%5C%20in)
substitute
![C=2\pi(14)](https://tex.z-dn.net/?f=C%3D2%5Cpi%2814%29)
![C=28\pi\ in](https://tex.z-dn.net/?f=C%3D28%5Cpi%5C%20in)
assume
![\pi=3.14](https://tex.z-dn.net/?f=%5Cpi%3D3.14)
![C=28(3.14)=87.92\ in](https://tex.z-dn.net/?f=C%3D28%283.14%29%3D87.92%5C%20in)
step 2
![1\ mile=63,360\ inches](https://tex.z-dn.net/?f=1%5C%20mile%3D63%2C360%5C%20inches)
![1\ hour=60\ minutes](https://tex.z-dn.net/?f=1%5C%20hour%3D60%5C%20minutes)
we have that
The speed of the car is 60 miles/hour
Convert the speed to inches/minute
![60\ \frac{mi}{h}=60(\frac{63,360}{60})=63,360\ \frac{in}{min}](https://tex.z-dn.net/?f=60%5C%20%5Cfrac%7Bmi%7D%7Bh%7D%3D60%28%5Cfrac%7B63%2C360%7D%7B60%7D%29%3D63%2C360%5C%20%5Cfrac%7Bin%7D%7Bmin%7D)
step 3
Remember that
The circumference of the wheel subtends one revolution
so
![1\ rev=87.92\ in](https://tex.z-dn.net/?f=1%5C%20rev%3D87.92%5C%20in)
Convert the speed to rev/min
![63,360\ \frac{in}{min}=\frac{63,360}{87.92}=721\ \frac{rev}{min}](https://tex.z-dn.net/?f=63%2C360%5C%20%5Cfrac%7Bin%7D%7Bmin%7D%3D%5Cfrac%7B63%2C360%7D%7B87.92%7D%3D721%5C%20%5Cfrac%7Brev%7D%7Bmin%7D)