Llen's score in a video game was changed by −50 points because he missed some targets. He got −10 points for each missed target.

Answer:

Explanation step-by-step:

Let

x represent Hermione's salary prior to the raise

Given:

Therefore, the equation that expresses this relationship is

To find x, divide both sides by 1.05:

Answer:

The distance he covered is 17.69.

Step-by-step explanation:

Simply multiply 12.2 by 1.45. This calculation yields a total distance of 17.69.

Clarification:

To accomplish the next steps, we simply need to determine the factors of each quadratic expression:

Factors of :

To identify factors, we must find two numbers whose product equals 4, with a difference of 3 (the difference is crucial since both resulting factors carry opposing signs). Those numbers are 4 and 1.

So,

The initial factor is negative reflecting the sign of the quadratic expression's second term which is negative. The subsequent factor is positive due to the product from the second term sign (-) and the third term sign (+).

Next, we repeat this process with :

Finally, we substitute each factor pair with its corresponding quadratic expression as illustrated:

We can see that the Least Common Denominator is , which incidentally turns out to be the sole common factor.

Remaining balance on Marcia's credit card = $1700

Marcia believed she could clear her debt by making consistent monthly payments.

Given the four provided payment options, we need to determine which one will help her pay off her balance the quickest.

A.→ 55 × Number of months = 1700

Number of months = months (approximately)

B. → 45 × Number of months = 1700

Number of months = months (approximately)

C.→ 75 × Number of months = 1700

Number of months = months (approximately)

D.→ 90 × Number of months = 1700

Number of months = months (approximately)

Choosing to pay $90 monthly would allow Marcia to settle her balance in the shortest time.