Question

d) what is 648 minus 1023?
3.) c.) what must be added to -6 to give 105?
d) what must be added to 15 to give -30?

1. c.) 315 + n = 285

d) -86 +20 = n+20
5.) the temperature in kiev was 10°c below zero. then it dropped to 24°c below zero. by how many degrees did the temperature drop?

Explanation:

Step1: Calculate 648 minus 1023

$648 - 1023 = -375$

Step2: Find value added to -6 for 105

Let $x$ be the value. $x + (-6) = 105$
$x = 105 + 6 = 111$

Step3: Find value added to 15 for -30

Let $y$ be the value. $y + 15 = -30$
$y = -30 - 15 = -45$

Step4: Solve for $n$: $315 + n = 285$

$n = 285 - 315 = -30$

Step5: Solve for $n$: $-86 + 20 = n + 20$

Subtract 20 from both sides: $-86 = n$

Step6: Calculate temperature drop

Initial temp: $-10^\circ\text{C}$, Final temp: $-24^\circ\text{C}$
Drop = $-10 - (-24) = -10 + 24 = 14^\circ\text{C}$

Answer:

d) $-375$

1. c) $111$

d) $-45$

1. c) $n = -30$

d) $n = -86$
5.) $14^\circ\text{C}$