Answer:
The width is 8 units
Step-by-step explanation:
This is a variation problem we are to work with.
Length is inversely proportional to width, let length be l and width be w
modeling the statement mathematically, we have lw = k where k is the proportionality constant
Now let’s get k from l = 12 and w = 6
k = 12 * 6 = 72
Now for the second rectangle also;
lw = k given l = 9
9w = 72
w = 72/9
w = 8
25-3=22
22/2 = 11
John made 14 free throws while Jose made 11.
Answer:
8 ounces of vinegar
36 ounces of dressing
Step-by-step explanation:
Marco makes his famous salad Jackson by mixing 5 1/4 ounces of olive oil with 1 1/2 ounces of vinegar.
Olive oil Vinegar
5 1/4 1 1/2
28 x
Write a proportion:
![\dfrac{5\frac{1}{4}}{28}=\dfrac{1\frac{1}{2}}{x}\\ \\5\dfrac{1}{4}\cdot x=28\cdot 1\dfrac{1}{2}\ [\text{Cross multiply}]\\ \\\dfrac{21}{4}x=28\cdot \dfrac{3}{2}\\ \\\dfrac{21 x}{4}=42\\ \\x=42\div \dfrac{21}{4}\\ \\x=42\cdot \dfrac{4}{21}\\ \\x=2\cdot 4\\ \\x=8\ ounces](https://tex.z-dn.net/?f=%5Cdfrac%7B5%5Cfrac%7B1%7D%7B4%7D%7D%7B28%7D%3D%5Cdfrac%7B1%5Cfrac%7B1%7D%7B2%7D%7D%7Bx%7D%5C%5C%20%5C%5C5%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%20x%3D28%5Ccdot%201%5Cdfrac%7B1%7D%7B2%7D%5C%20%5B%5Ctext%7BCross%20multiply%7D%5D%5C%5C%20%5C%5C%5Cdfrac%7B21%7D%7B4%7Dx%3D28%5Ccdot%20%5Cdfrac%7B3%7D%7B2%7D%5C%5C%20%5C%5C%5Cdfrac%7B21%20x%7D%7B4%7D%3D42%5C%5C%20%5C%5Cx%3D42%5Cdiv%20%5Cdfrac%7B21%7D%7B4%7D%5C%5C%20%5C%5Cx%3D42%5Ccdot%20%5Cdfrac%7B4%7D%7B21%7D%5C%5C%20%5C%5Cx%3D2%5Ccdot%204%5C%5C%20%5C%5Cx%3D8%5C%20ounces)
Marco will make
ounces of dressing
r is the x coordinate and s is the y coordinate. Positive slopes go from lower left to upper right, like going up stairs or up a hill. The line that goes through (r, s) that is positive is line B.
