Use rounding to determine if the answer is reasonable. round each of the factors to the nearest ten, then multiply.
587 × 92 = 54,004

a. 587 * 92 we are rounding these factors to the nearest ten, so 587 becomes 590 and 92 becomes 90. now multiply 590 and 90. 590 * 90 = 53,100; 59 * 9 = 531, and then add on the two zeroes. the following answer of 54,004 is reasonable because it is close to our estimate of 53,100.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions