1. -√8, -2.1, 3/2, 12/6, 4
sorry man I'm tired but here's ya first set of answers
The LCM is the greater.
The GCF is a factor which divides in to each number so can never be equal to the greater number, whereas the LCM is the greater of the 2 numbers or a multiple of them
I guess the chef is making the mixture for the sheriff... Let <em>x</em> be the amount of dressing with 5% vinegar that is required, and <em>y</em> the amount of 15% vinegar dressing (both amounts in mL).
The sheriff wants 390 mL of the mixed dressing, so that
<em>x</em> + <em>y</em> = 390
<em>x</em> mL of the 5% dressing contains 0.05<em>x</em> mL of vinegar, while <em>y</em> mL of the 15% dressing contains 0.15<em>y</em> mL of vinegar. The resulting mixture should have a concentration of 9% vinegar, so that it contains 0.09 (390 mL) = 35.1 mL of vinegar. This means
0.05<em>x</em> + 0.15<em>y</em> = 35.1
Solve for <em>x</em> and <em>y</em> :
<em>y</em> = 390 - <em>x</em>
0.05<em>x</em> + 0.15 (390 - <em>x</em>) = 35.1
0.05<em>x</em> + 58.5 - 0.15<em>x</em> = 35.1
23.4 = 0.10<em>x</em>
<em>x</em> = 234
<em>y</em> = 156
Answer:
44.81 feet
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
In the right triangle ACD
Find the length side AC (height of the small fire tower)
---> by TOA (opposite side divided by the adjacent side)
Solve for AC
step 2
In the right triangle ABE
Find the length side AB
---> by TOA (opposite side divided by the adjacent side)
solve for AB
step 3
How many feet off the ground is the squirrel?
Subtract the length side segment AB from the length side segment AC
so
Answer:
3:5 Is the ratio because there are five pieces of cheese.
Step-by-step explanation:
If there are 12 pieces, then you can add 4 and 3 together and get 7 and then you can take 7 from 12 and get 5 which is how many cheese pieces there are. Now you know that there are 3 slices of pepperoni and 5 pieces of cheese. Therefore the ratio is 3:5.
