-10 + a = 6a - 7a
Rearrange the left hand side
a - 10 = 6a - 7a
Simplify 6a - 7a
a - 10 = -a
Add a on both sides
2a - 10 = 0
Add 10 on both sides
2a = 10
Divide by 2 on both sides
a = 5
Answer:
b = 33°
Step-by-step explanation:
A full circle is 360°.
360° - 296° - 31° = b
360° - 296° - 31° = 33°
Answer:
Rate = 10%
Step-by-step explanation:
We are given with the following details.
Interest earned = $ 116.25
Principal = $ 1550
Interest Rate = r (say)
Time = 9 months
= ![\frac{9}{12} years](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B12%7D%20years)
We are asked to determine the rate of interest for which we can earn 116.25 interest. As we are not specifically given whether it is a compound or simple interest , we assume it to be simple interest and solve .
The formula for simple interest is given as
![Interest = Principal \times Rate \times time](https://tex.z-dn.net/?f=Interest%20%3D%20Principal%20%5Ctimes%20Rate%20%5Ctimes%20time%20)
![116.25=1550 \times r \times \frac{9}{12}](https://tex.z-dn.net/?f=116.25%3D1550%20%5Ctimes%20r%20%5Ctimes%20%5Cfrac%7B9%7D%7B12%7D)
![r= \frac{116.25 \times 12}{1550 \times 9}](https://tex.z-dn.net/?f=%20r%3D%20%5Cfrac%7B116.25%20%5Ctimes%2012%7D%7B1550%20%5Ctimes%209%7D)
r=0.1
Hence the r = 0.1
Hence the rate of interest is 10%
Answer:
approximately 56 cents
Step-by-step explanation:
4.5/8
1/2x + 42 = 4x
-1/2x -1/2x
------------------------
42 = 3.5x
/3.5 /3.5
------------------------
12 = x
the number is 12
explanation: 42 more than 1/2 of a number can be written as 1/2x + 42
four times a number can be written as 4x.
42 more than 1/2 of a number is equal to 4 times a number. So 1/2x + 42 = 4x.
Hope this helps :)