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2 years ago

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Amanda's family is taking a road trip. Their car can travel no more than 352 miles without needing to refill the gas tank. They

have traveled 108 miles since they last filled the gas tank.
Amanda knows that the inequality representing this situation is 108+x≤352.

Select from the drop-down menu to correctly interpret the solution of this inequality.
Amanda's family can drive miles before they need to refill the gas tank.

1 answer:

Solnce55 [7]2 years ago

6 0

From the solution to the inequality, the correct interpretation is that:

Amanda's family can drive 244 miles before they need to refill the gas tank.

The amount of miles they can still travel is modeled by the following <em>inequality</em>:

$108 + x \leq 352$

It is solved similarly to an equality, hence:

$x \leq 352 - 108$

$x \leq 244$

Then:

Amanda's family can drive 244 miles before they need to refill the gas tank.

You can learn more about inequalities at brainly.com/question/25629776

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Step-by-step explanation:

For this case we know that the currently mean is 2.8 and is given by:

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Where $w_i$ represent the number of credits and $X_i$ the grade for each subject. From this case we can find the following sum:

$\sum_{i=1}^n w_i *X_i = 2.8*24 = 67.2$

And for this case we want a gpa of 3.0 taking in count that in this semester he/ she is going to take 16 credits so then the new mean would be given by:

$\bar X_f = \frac{\sum_{i=1}^n w_i *X_i+w_f *X_f }{24+16} = 3.0$

And we can solve for $\sum_{i=1}^n w_f *X_f$ and solving we got:

$3.0 *(24+16) =\sum_{i=1}^n w_i *X_i +\sum_{i=1}^n w_f *X_f$

And from the previous result we got:

$3.0 *(24+16) =67.2 +\sum_{i=1}^n w_f *X_f$

And solving we got:

$\sum_{i=1}^n w_f *X_f =120 -67.2= 52.8$

And then we can find the mean with this formula:

$\bar X_2 = \frac{\sum_{i=1}^n w_f *X_f}{16}= \frac{52.8}{16}=16=3.3$

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