A map of Colorado says that the scale is 1 inch to 20 miles or 1 to 1,267,200. Are these two ways of reporting the scale the sam

The initial equation is

. The subsequent equation is

. By setting both equations equal, we can derive the following:

. Next, simplify:

. Then factor:

. Put x=0 or x=1 into the second equation to yield:

. Alternatively,

. Thus, the solutions are:

.

Step-by-step explanation:

∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹

This represents a finite geometric series where n equals 4, a₁ is -144, and r is ½.

S = a₁ (1 − rⁿ) / (1 − r)

S = -144 (1 − (½)⁴) / (1 − ½)

S = -270

If you wish to calculate the infinite sum (n = ∞):

S = a₁ / (1 − r)

S = -144 / (1 − ½)

S = -288

For Chris, the calculation for his monthly telephone expense is as follows:

Where "x" denotes each minute used.

Given that Chris can afford a bill of $86, we have:

The total minutes of usage must not exceed 500 per month. Consequently, the viable choice is option C.

Answer:

Option C

The expression indicates that the total earnings of Mike over the two weeks amount to 2.05x dollars

Solution:

It is given that Mike earned x dollars during the first week at his new job,

While in the second week, he earned 5% more than the earnings of the first week.

To determine: Total earnings over the two weeks

From the information provided,

Earnings in the first week = "x" dollars

Earnings in the second week = 5% more than first week earnings

Thus,

Earnings in the second week = x + 5% of x

Therefore, earnings in the second week equal to 1.05x dollars

The total earnings over the two weeks:

Total earnings = Earnings from first week + Earnings from second week

Thus, the expression for the total earnings of Mike for both weeks is 2.05x dollars

To start, we will shift the non-repeating segment of the decimal to the left side by dividing by a power of 10.

Then we will assign a variable to represent the value and also shift the repeating segment to the left.

Essentially, the concept here is that we can denote the repeating portion with a variable, let's say "x", and move forward with the calculation;





you can verify that using your calculator.