Seven less than the quotient of a number, x, and twelve is five times the number. Which answer represents this situation??

2 answers:

erica [24]3 years ago

8 0

Answer:

Option b is correct.

Step-by-step explanation:

From the given condition : Seven less than the quotient of a number, x, and twelve is five times the number.

Here, the number is x

The quotient of a number x and twelve is expressed as , $\frac{x}{12}$

Seven less than the quotient of a number, x, and twelve is expressed as, $\frac{x}{12}-7$

Five times the number mean, $5x$

Therefore, we have an equation in the form of x from the given condition as:

$\frac{x}{12}-7=5x$ .

3 0

The answer would be the letter b

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Liono4ka [1.6K]

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3 years ago

Yuki888 [10]

Answer:

$x\geq 125$

Step-by-step explanation:

So first we have to find out the total number of points possible
So he took 5 tests each with a max score of 100 points, so that's 500 points total
The final test will be 150 points, so his whole grade is out of 500+150= 650 points
He has already scored 460 of those 650 points
Now how much must he get in the least, on the last test in order to make 90%?
Now we need to find what 90% of 650 points is
so $\frac{90}{100} *650=\frac{90*650}{100} =585points$
Then we ask ourselves, how much must we add to 460, to get 585 points? 585-460= 125 points
So Mark needs to get either 125 points or more on the next test to make 90% or more
Now let's say the letter $x$ means whatever grade number Mark gets on his next test
This number must not be less than 125, so it must be either equal to or greater than 125 points
So $x\geq 125$