The correct option is (A). The solution of the equation is x=48.125.
Given an equation
.
A statement that uses the equal sign to show that two expressions have the same value is called an equation. The equation is represented as ax+by=c.
Firstly, we will apply the distributive property to the given equation a×(b+c)=ab+ac, we get
![x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60](https://tex.z-dn.net/?f=x%2B%5Cfrac%7Bx%7D%7B7%7D%2B%5Cfrac%7Bx%7D%7B11%7D%2B%5Cfrac%7Bx%7D%7B77%7D%3D60)
Now, we will simplify the right-hand side equation by taking LCM, we get
![\begin{aligned}\frac{77x+11x+7x+x}{77}&=60\\ \frac{96x}{77}&=60\end](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cfrac%7B77x%2B11x%2B7x%2Bx%7D%7B77%7D%26%3D60%5C%5C%20%5Cfrac%7B96x%7D%7B77%7D%26%3D60%5Cend)
Further, we will multiply both sides with 77, we get
77×(96x/77)=77×60
96x=4620
Then, we will divide both sides with 96, we get
96x/96=4620/96
x=48.125
Hence, the solution of the given equation
is x=48.125.
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Answer: 5
Step-by-step explanation:
use formula a^2 + b^2 = c^2
a^2 + 12^2 = 13^2
a^2 + 144 = 169
- 144 -144
a^2 = 25
sqrt sqrt
a = sqrt (25)
a = 5
Answer:
The price after a 30% discount would be 0.3p and the price after a 70% discount would be 0.7p.
Step-by-step explanation:
When you turn the percentages into decimals, 30% will be changed into 0.3, and when you change 70% into a decimal, it would be 0.7 (Move the decimal at the end two spaces over to the right like this: 70.% -> 7.0 -> 0.7)
-2 or -2/1 because the ratio is y over x and the line is going down 2 (-2) every time it goes to the right once (1)
Slop interest form is the amswer