Explanation

Explanation

Explanation

Explanation

We're given:

1. A + B + C = 112
2. B = A - 12
3. C = 2B

We can substitute B in the first equation using the second equation:

A + (A - 12) + C = 112 2A + C - 12 = 112 2A + C = 124

Now, we can substitute C using the third equation:

2A + 2B = 124

We know B = A - 12,

so: 2A + 2(A - 12) = 124 2A + 2A - 24 = 124 4A = 148 A = 37

Now we can find B and C: B = A - 12 = 37 - 12 = 25 C = 2B = 2 * 25 = 50

Therefore, C gets $50.

Explanation

Total distance:

• Length of the train: 99m
• Length of the station: 231m
• Total distance = Length of the train + Length of the station = 99m + 231m = 330m

Total time: 11 seconds

Speed:

• Speed = Distance / Time
• Speed = 330m / 11s = 30 m/s

Now, we need to convert m/s to km/h:

• 1 m/s = 3.6 km/h

So, 30 m/s = 30 * 3.6 = 108 km/h

Therefore, the speed of the train is 108 km/h.

Explanation

The total food required for $x$ cows over 150 days is:

$$\text{Total food}=x\times 150$$

When the number of cows is reduced by 10, i.e., $x - 10$, the food lasts for 10 more days, meaning it lasts for 160 days. So, the total food required for x-10 cows over 160 days is:

$$\text{Total food}=(x-10)\times 160$$

Since the total amount of food remains constant in both cases, we can equate the two expressions for total food: x

$$x\times 150=(x-10)\times 160$$

Explanation

Explanation

1. $$$$32−1=31

Explanation

The sentence with correct punctuation usage is:

(C) The conference has been postponed, thus we have more time to prepare.

The comma correctly separates the two independent clauses with the transitional adverb "thus," which shows the relationship between the clauses.

Explanation

The correct sentence with the proper use of the colon is:

(C) She had one question: when is the deadline?

A colon is used correctly here to introduce a clause that explains or expands on what came before it.

The other options do not follow standard rules for using a colon.