Answer:
the second option
Step-by-step explanation:
the SSS congruence postulate would be used
Answer:
a is the answer.
Step-by-step explanation:
Answer:
x=4, x=3
Step-by-step explanation:
This is most often the format taken from the polynomial form of this problem, which is x^2-7x+12, and when it is in this format you just take each set of numbers within each parenthesis and set it to zero, then solve. In this case, x can be equal to either 3 or 4.
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:
3 3/4 cups
Step-by-step explanation:
We need 3/4 cups of beans for 7 servings, and we need to figure out how many cups we need for <em>35 servings</em>. You'll notice that 7 times 5 is 35. We can multiply 3/4 by 5 to find the answer to our problem. This thought process looks somewhat like this:

Notice that we can multiply 5 by 3/4 to find the value of x.
So, 3/4 times 5 is equal to 15/4, or 3 3/4. So, you need 3 3/4 cups of beans for 35 servings.
Hopefully this was helpful! If you have any more questions, let me know.