Answer:
The time (t) it takes to clean an office building is <em><u>directly</u></em> <em><u>related</u></em> to the number of people (p) working.
t is proportional to p
The triangle inequality requires the third side be in the range
.. 12 -4 ≤ third side ≤ 12 +4
.. 8 ≤ third side ≤ 16 . . . . . . . . . your answer is the number(s) in this range
_____
Some define the triangle inequality using < rather than ≤. Be careful here.
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
Answer:
24
Step-by-step explanation:
A negative times another negative results in a positive number
2 times 12=24
-2 times -12=24
If the design is the cube in the second answer then it would have a surface area of 25 cm per face of the cube because to get the surface are you would multiple side by side of a face and then to get the full cubes surface area multiple one faces surface area by six because the cube has six faces and to get the volume you cube the side length of 5cm to get 125cm cubed. Hope this helps.
