Question

1. hassan used a gift card to buy a pair of jeans for $30 and 2 pairs of socks for $7 per pair. the expression shown represents the total change in the balance of the gift card in dollars. \\(-30 + 2(-7)\\) what integer represents the total change in the value of the gift card in dollars? a. \\(-35\\) b. \\(-16\\) c. \\(-196\\) d. \\(-44\\) 42. nathan threw each of 4 beanbags at a target and scored points based on where the beanbags landed. the results of nathan’s beanbag throws are shown in the table. nathan’s results | beanbag throw | points scored | | --- | --- | | 1 | 2 | | 2 | \\(-4\\) | | 3 | \\(-1\\) | | 4 | 1 | what was the total number of points scored by nathan in his 4 throws?

Explanation:

Question 41

Step1: Calculate the product part

First, we need to calculate the value of \(2(-7)\). Multiplying 2 and -7 gives \(2\times(-7)= -14\).

Step2: Add the remaining term

Now, we add this result to -30. So, we have \(-30+(-14)\). When adding two negative numbers, we add their absolute values and keep the negative sign. The absolute value of -30 is 30 and the absolute value of -14 is 14. So, \(30 + 14=44\), and since both numbers are negative, the result is \(-44\).

To find the total number of points scored, we need to sum up the points from each throw. The points for each throw are 2, -4, -1, and 1.

Step1: Start adding the points

First, add the first two points: \(2+(-4)\). This is equivalent to \(2 - 4=-2\).

Step2: Add the third point

Now, add the third point (-1) to the result from step 1: \(-2+(-1)\). This is equivalent to \(-2 - 1=-3\).

Step3: Add the fourth point

Finally, add the fourth point (1) to the result from step 2: \(-3 + 1=-2\).

Answer:

D. \(-44\)

Question 42