13. solve the equation
4 2/5x = 12 1/10
A.7 7/10
B.2 3/4-My Answer
C.2 1/2
D.4/11
Please help!!!
Yes, B.
I guess you might mean:
(4 2/5) x = 12 1/10
or
(22/5) x = 121/10 multiply both sides by 10
44 x = 121
x = 121/44 = 2 3/4 yes
thanks everyone
You're welcome.
To solve the equation mentioned, 4 2/5x = 12 1/10, we need to isolate the variable x. Here's how to do it step by step:
Step 1: Convert the mixed numbers to improper fractions.
4 2/5 = (4 * 5 + 2)/5 = 22/5
12 1/10 = (12 * 10 + 1)/10 = 121/10
Now the equation becomes 22/5x = 121/10.
Step 2: Multiply both sides of the equation by the reciprocal of the coefficient of x.
In this case, the reciprocal of 22/5 is 5/22.
(5/22) * (22/5x) = (5/22) * (121/10)
The equation simplifies to x = (5/22) * (121/10).
Step 3: Simplify the right side of the equation.
To do this, multiply the numerators (5 * 121) and the denominators (22 * 10), and simplify if possible.
x = (5 * 121)/(22 * 10)
x = 605/220
x = 11/4
So, the value of x is 11/4, which is equivalent to 2 3/4.
Therefore, the correct answer is B. 2 3/4.