Answer:
x=2.2
Step-by-step explanation:
6X - 2 + 5x + 7
add like terms
11x+5
divide 5 on both sides
x=2.2
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-mercury
<u>Corrected question :</u>
Solve the equation. Write your answer as an integer or simplified fraction.
<u>Required Solution :</u>
The given equation,
★ Multiplying -7 into (n - 2),
>> 8n - 7 × (n - 2) = 18
>> 8n - 7n + 14 = 18
★ On substracting 7n from 8n we gets,
>> n + 14 = 18
★ Now transposing 14 which is in L.H.S. into R.H.S. (Remember that sign would be . So 14 would be -14),
>> n = 18 - 14
>> n = 14
★ Therefore,
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Given:
Principal = Rs. 6000
Rate of simple interest = 6% per annum.
Time = 4 years
To find:
The simple interest and amount.
Solution:
Formula for simple interest:

Where, P is principal, r is the rate of interest and t is the number of years.
Putting P=6000, r=6 and t=4, we get



Now,



Therefore, the simple interest is Rs. 7440 and the amount is Rs 7440.
Answer:
2,600,000
Step-by-step explanation:
To determine the number of license plate that can be made with one letter and 5 digits;
Number of English alphabet = 26
Number of digits from 0 to 9 = 10
Each letter have 26 possible options and each digit have 10 possible options.
Number of license plate that can be made is;
N = 26 × 10^5
N = 2600000
The equation of a circle is:
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the location of the center and r is the radius. So we need to find h, k, and r. The center is given as (5,-4) so h = 5 and k = -4:
(x-5)^2 + (y-(-4))^2 = r^2
(x-5)^2 + (y+4)^2 = r^2
So we need to find r. Use the distance formula to find the distance between (5,-4) and (-3,2):
r = [(5-(-3))^2+((-4)-2)^2]^1/2
r = [8^2 + (-6)^2]^1/2
r = [64 + 36]^1/2
r = 100^1/2
r= 10
The final equation is:
(x-5)^2 + (y+4)^2 = 10^2