Lan wants to run less than 7/12 miles. It says to find out a fraction with a denominator of 4 and which is less than 7/12.
Let's assume the required fraction to be x/4 such that x/4 is less than 7/12.
![\frac{x}{4} < \frac{7}{12} \\\\ 3*\frac{x}{4} < \frac{7}{12}*3 \\\\ \frac{3x}{4} < \frac{21}{12} \\\\ \frac{3x}{4} < \frac{7}{4} \\\\ 3x < 7](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B4%7D%20%3C%20%5Cfrac%7B7%7D%7B12%7D%20%5C%5C%5C%5C%203%2A%5Cfrac%7Bx%7D%7B4%7D%20%3C%20%5Cfrac%7B7%7D%7B12%7D%2A3%20%5C%5C%5C%5C%20%5Cfrac%7B3x%7D%7B4%7D%20%3C%20%5Cfrac%7B21%7D%7B12%7D%20%5C%5C%5C%5C%20%5Cfrac%7B3x%7D%7B4%7D%20%3C%20%5Cfrac%7B7%7D%7B4%7D%20%5C%5C%5C%5C%203x%20%3C%207%20)
So we must have multiples of 3's that should be less than 7, we have only two choices 3 < 7 or 6 < 7.
It means x = 1 or x = 2, and the required fraction would be 1/4 or 2/4.
2/4 is simplified to 1/2 and the question says to have denominator 4.
Hence, final answer is 1/4
Answer:
-4
Step-by-step explanation:
-3-9 +8
-12 + 8
= -4
we have
![y=3x-2](https://tex.z-dn.net/?f=%20y%3D3x-2%20)
we know that
this is the equation of a line, to identify which is the graph we will proceed to determine the points of intersection with the coordinate axes
1) <u>Find the y-intercept</u>
the y-intercept is when the value of x is equal to zero
For ![x=0](https://tex.z-dn.net/?f=%20x%3D0%20)
find the value of y
![y=3*0-2](https://tex.z-dn.net/?f=%20y%3D3%2A0-2%20)
![y=-2](https://tex.z-dn.net/?f=%20y%3D-2%20)
2) <u>Find the x-intercept </u>
the x-intercept is when the value of y is equal to zero
For ![y=0](https://tex.z-dn.net/?f=%20y%3D0%20)
find the value of x
![0=3x-2](https://tex.z-dn.net/?f=%200%3D3x-2%20)
![x=(2/3)](https://tex.z-dn.net/?f=%20x%3D%282%2F3%29%20)
therefore
the answer is the option B ( see the attached figure)
While “digital” commonly refers to electronics in general, the scientific definition of digital is much different. “Digital” in information science refers to the finite, discontinuous phenomenon (e.g., on or off states in a light bulb) as opposed to infinitely varying, continuous analog phenomenon (e.g., the brightness of daylight). It can also refer to representing data in figures as opposed to data represented in pictorial form.
d
Step-by-step explanation: