12 different boards can be made
1 marker can go on 3 different posters and their are 4 markers so 3 times 4 equals 12
Answer:
5=100
6=900
8=375
Step-by-step explanation:
LxWxH
20x4
300x3
5x5=25 x 15= 375
Answer:
Part a) The volume of the air is ![V=7,794.78\ cm^{3}](https://tex.z-dn.net/?f=V%3D7%2C794.78%5C%20cm%5E%7B3%7D)
Part b) The volume of the plastic is ![V=386.45\ cm^{3}](https://tex.z-dn.net/?f=V%3D386.45%5C%20cm%5E%7B3%7D)
Step-by-step explanation:
we know that
The volume of the sphere is equal to
![V=\frac{4}{3}\pi r^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E%7B3%7D)
step 1
Find the volume of the complete ball (air +plastic)
we have
------> the radius is half the diameter
substitute
![V=\frac{4}{3}\pi (12.5)^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%2812.5%29%5E%7B3%7D)
![V=8,181.23\ cm^{3}](https://tex.z-dn.net/?f=V%3D8%2C181.23%5C%20cm%5E%7B3%7D)
step 2
Find the volume of the air
we have that
The plastic is 2 mm thick
Convert to cm
2 mm=2/10=0.2 cm
so
The radius of the interior of the ball is
![r=12.5-0.2=12.3\ cm](https://tex.z-dn.net/?f=r%3D12.5-0.2%3D12.3%5C%20cm)
substitute
![V=\frac{4}{3}\pi (12.3)^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%2812.3%29%5E%7B3%7D)
-----> this is the volume of the air (interior of the ball)
step 3
Find the volume of the plastic
we know that
The volume of the plastic is equal to the volume of the complete ball minus the volume of the air
so
![8,181.23\ cm^{3}-7,794.78\ cm^{3}=386.45\ cm^{3}](https://tex.z-dn.net/?f=8%2C181.23%5C%20cm%5E%7B3%7D-7%2C794.78%5C%20cm%5E%7B3%7D%3D386.45%5C%20cm%5E%7B3%7D)
Since difference is subtraction, that means that y-2=9 and by adding 2 to both sides we get y=11
Answer:
150 miles
Step-by-step explanation:
Find the unit rate (MPH) by dividing miles travlled by hours.
300/6 = 50 MPH
250/5 = 50 MPH
Multiply the hours on day 3 (3) by 50 MPH
3*50 = 150 miles