Question 1

Mathematics

1 answer:

natima [27]3 years ago

6 0

Answer:

Yes, her reasoning is correct

Step-by-step explanation:

Given the ratio: 109.2 : 6

Written in fractional form, we have:

$109.2: 6=\dfrac{109.2}{6}$

Now:

$\dfrac{109.2}{6}=\dfrac{109.2}{6}X1, $ Let 1=\dfrac{10}{10}, \\\\=\dfrac{109.2}{6}X\dfrac{10}{10}\\\\=\dfrac{1092}{60}$

Therefore, the student's reasoning is correct. In fact, as a check:

$\dfrac{109.2}{6}=18.2\\\\\dfrac{1092}{60}=18.2$

We would obtain the same result in both cases.

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Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was

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<h2>Answer:</h2>

First of all let's write the slope-intercept form of the equation of a line, which is:

$y=mx+b \\ \\ Where: \\ \\ m: \ slope \\ \\ b: \ y-intercept$

So we just need to find $m \ and \ b$ to solve this problem.

Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:

$m=-12$

Negative slope because Amir is descending. So:

$y=-12x+b$

To find $b$ , we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point $(30,0)$ . Therefore, substituting this point into our equation: