Answer:
800 mL
Step-by-step explanation:
Let b represent the amount of solution B added to 2400 mL of solution A. The total amount of alcohol (mL) in the mixture is ...
10%×2400 + 50%×b = 20%×(2400 +b)
multiplying by 100 to get rid of the % signs and simplifying, we have ...
24000 +50b = 48000 +20b
30b = 24000 . . . . . . . . . subtract 24000+20b
b = 800 . . . . . . . . . . . . . . divide by 30
Debra added 800 mL of 50% alcohol to her 2400 mL of 10% alcohol to make a 20% solution.
Answer:
Slope is 0
Step-by-step explanation:
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Answer:
c
Step-by-step explanation:
The two equations that can be used to find the height are as follows:
- 12 / 4 = h /5
- 5 / 4 = h / 12
<h3>Similar Triangles</h3>
Similar triangles are not necessarily the same in size. Corresponding angles of similar triangles are congruent. The sides of similar triangle are a ratio of each other.
The tree cast a shadow of 12 ft. Let's establish the proportion base on similar triangles. The height of the tree is h. Therefore,
Therefore,
h / 12 = 5 / 4
cross multiply
4h = 60
divide both sides by 4
h = 60 / 4
h = 15 ft
Therefore, the two equations that can be used to find the height are as follows:
- 12 / 4 = h /5
- 5 / 4 = h / 12
learn more on similar triangles here: brainly.com/question/12685664?referrer=searchResults
Answer:
72.73cm
Step-by-step explanation:
Using the formula
C=2πr
Solving for r
r=C
2π=457
2·π≈72.73381cm