The instruction to "use a common denominator to divide" may be counter-intuitive to someone taught to "invert and multiply."
To find the number of glasses, we divide the amount of juice by the glass size. The divisor is the glass size, and we want to have a common divisor with the juice quantity.
We can remove a factor of 2 from the numerator and denominator of the juice quantity to give it a denominator of 4, in common with the glass size.
number of glasses = (quantity of juice) / (glass size)
number of glasses = (6/4 cups)/(3/4 cups)
Factoring (1/4 cups) from numerator and denominator, we have
number of glasses = 6/3
number of glasses = 2
<span>7/3+3(2/3−1/3)^2
= 7/3 + 3(1/3)^2
= 7/3 + 3(1/9)
= 7/3 +1/3
= 8/3</span>
Answer:
Check boxes 3, 4, 6, and 8.
Step-by-step explanation:
We have the equation:
And we want to select all equations that are perpendicular to the above equation.
Remember that perpendicular lines have slopes who are negative reciprocals of each other.
Therefore, the slope of our equations must be the negative reciprocal of -3.
The negative reciprocal of -3 is 1/3. We flipped -3 to -1/3, and then multiplied by a negative.
Therefore, any equation with a slope of 1/3 is perpendicular to our original line.
Therefore, we will check boxes 3, 4, 6, and 8.
