Answer: Length: 21 cm Width: 7 cm
Step-by-step explanation:So, two of the sides are 3 units long, and two of the sides are 1 unit long. The total number of units in the perimeter of the rectangle is 8.
56cm / 8units = 7cm/unit
So, the length of the rectangle is 7cm/unit x 3 units, or 21 cm.
The width of the rectangle 1/3 of the length, or 7cm.
Length: 21 cm
Width: 7 cm
Answer:
The equation is:
![3(2) ^ t=1,536](https://tex.z-dn.net/?f=3%282%29%20%5E%20t%3D1%2C536)
After ![t=9\ months](https://tex.z-dn.net/?f=t%3D9%5C%20months)
Step-by-step explanation:
This situation can be represented by an exponential growth equation of the form
![y = a (b) ^ {t}](https://tex.z-dn.net/?f=y%20%3D%20a%20%28b%29%20%5E%20%7Bt%7D)
Where a is the initial amount
b is the growth rate
t is the time in months
In this case the initial amount is $ 3. Then ![a=3](https://tex.z-dn.net/?f=a%3D3)
if she initially saves $3 and plans to double the amount she saves each month then
![b=2](https://tex.z-dn.net/?f=b%3D2)
The bike Jane wants is $1,536 at the local bike shop.
Then ![y=1,536](https://tex.z-dn.net/?f=y%3D1%2C536)
The equation is:
![3(2) ^ t=1,536](https://tex.z-dn.net/?f=3%282%29%20%5E%20t%3D1%2C536)
Now we solve the equation for t
![3(2) ^ t=1,536](https://tex.z-dn.net/?f=3%282%29%20%5E%20t%3D1%2C536)
![(2) ^ t=\frac{1,536}{3}](https://tex.z-dn.net/?f=%282%29%20%5E%20t%3D%5Cfrac%7B1%2C536%7D%7B3%7D)
![(2) ^ t=512](https://tex.z-dn.net/?f=%282%29%20%5E%20t%3D512)
![log_2(2) ^ t=log_2(512)](https://tex.z-dn.net/?f=log_2%282%29%20%5E%20t%3Dlog_2%28512%29)
![t=log_2(512)](https://tex.z-dn.net/?f=t%3Dlog_2%28512%29)
![t=9\ months](https://tex.z-dn.net/?f=t%3D9%5C%20months)
Answer:
33/12 or 2.75
Step-by-step explanation:
6 1⁄6 - 3 5⁄12
37/6 - 41/12
74/12 - 41/12
<u>33/12 or 2.75</u>
4÷16=4
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