Ten times the sum of half a number and 6 is 8

1 answer:

5 0

Even though we don't know the number yet, we need to give it some kind of label
so that we can work with it. We can call it anything. I'd like to call it ' G '.

The number we're looking for is ' G '.

Half of it is 1/2 G

The sum of that and 6 is 1/2 G + 6

Ten times that is 10 (1/2 G + 6)

The question says that's 8.
So   10 (1/2 G + 6) = 8

Divide each side by 10 : 1/2 G + 6 = 0.8

Subtract 6 from each side: 1/2 G = - 5.2

Multiply each side by 2 : G = - 10.4

That seems like a weird answer. We should check it.

The number:    -10.4
Half the number:    - 5.2
The sum of half the number and 6: -5.2 + 6 = +0.8
Ten times that sum: 8

Yep ! By golly, sho nuff, dV-dT and E to the X !
Everything checks out, and the mystery number is - 10.4

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corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. which quantity depends on the other?

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Complete Question:

Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. Which quantity depends on the other?

A. The distance traveled depends on the number of hours traveled.

B. The number of hours traveled depends on the speed of the train.

C. The speed of the train depends on the distance traveled.

D. The speed of the train depends on the number of hours traveled.

Answer:

Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. The distance traveled depends on the number of hours traveled

Step-by-step explanation:

As we know the velocity can de defined as the rate of change of position of objects in a particular time. The formula is given by,

$\text {velocity}=\frac{\text {distance}}{\text {time}}$

Here, in the question, rate of speed of train is given as 45 miles per hour. if we keep the velocity as constant one, then distance is directly proportionate to the travelled time

$\text {distance}=\text {velocity} \times \text {time}$