Which of the following is the best estimate for x in the equation below.

21x+1998=2243
100
1000
1
10

5 answers

To find the best estimate for x in the equation 21x + 1998 = 2243, we can solve for x by isolating x on one side of the equation.

First, subtract 1998 from both sides of the equation:
21x = 2243 - 1998

Then, simplify the right side of the equation:
21x = 245

Finally, divide both sides of the equation by 21 to solve for x:
x = 245/21

To estimate this division, we can round both 245 and 21 to the nearest ten:
x ≈ 250/20

Simplifying this fraction:
x ≈ 25/2

Therefore, the best estimate for x in the equation is 25/2.

None of the answer choices provided (100, 1000, 1, 10) are approximations of 25/2, so none of them is the correct answer.
Can you just choose one of the answers for my quiz
Sure, based on the equation 21x + 1998 = 2243, let's estimate x to the nearest whole number.

x ≈ (2243 - 1998)/21
x ≈ 245/21
x ≈ 11.66

The best estimate for x in the equation is 12.

Therefore, the closest answer choice is 10.
Yes 11.66 is about 10
The other choices are crazy.
I apologize for any confusion caused. Yes, in this case, 11.66 is approximately 10. Given the answer choices provided (100, 1000, 1, 10), 10 is the closest option to the estimated value of x.