9 / 16 + 1/2 =?
Step 1. To add fractions, they must share the same denominator. Here the denominators are 16 and 2. Since 16 is 8 times 2, multiply 1/2 by 8 to match denominators.
(1 * 8) / (2 * 8) = 8 / 16
Step 2. Add the numerators over the common denominator.
9/16 + 8/16 = (9+8) / 16 = 17 / 16
Step 3. Reduce the fraction if possible.
17/16 is already in simplest form. Therefore, 9/16 + 1/2 = 17/16
According to its definition, speed is determined by the distance over time.
This means that based on this definition, the last two options seem to be the plausible answers:
Let’s analyze the third option:
y = (3/2) * (1 / x)
x = 12
y = (3/2) * (1/12) = 3/24 = 1/8
This does not comply with the table
Now let’s assess the fourth option:
y = (96 / x)
x = 12
y = (96/12) = 8
This one fulfills the table's criteria.
conclusion:
y = (96 / x)
5 km. To determine the distance, we apply the speed formula that correlates distance with time: v = d / t. Thus, when rearranging for distance, we get: d = v * t. The speed is noted as 6 km/h, but we need to find the time taken - given he departs at 9:15 and returns at 10:05, the total time is 50 minutes. Converting this duration into hours gives us 50 min * 1 h / 60 min = 0.833 h. Hence, the duration for the journey to school is established as 0.833 hours. Substituting into our equation provides: d = 6 * 0.8333, yielding a distance of 5 km between the school and home.
5(x^2+8x)=14
5(x^2+8x+16)=5(x^2+8x)+5*16=5(x^2+8x)+80=14+80=94
The correct choice is the second one
The conversion between these units is 1 km/hr = 0.62 m/hr
