Writing Probability as a Fraction
2 answers:
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Answer:
- D. They are similar by the definition of similarity in terms of a dilation.
Step-by-step explanation:
<em>Refer to attached</em>
The points are plotted and connected to make triangles
As per the diagram, the triangles are similar, each side of ABC is reduced twice to make the corresponding sides of DEF, so the scale factor is 1/2.
<u>Correct choice is D</u>
- They are similar by the definition of similarity in terms of a dilation.
Answer:
A's mixture is more acidic.
Step-by-step explanation:
Given:
Two friends mix water and citric acid.
One (Let A) add 3 cups of citric acid for every 16 cups of water and another (Let B)adds 2 cups of citric acid for every 12 cups of water.
Now, we have to find that whose mixture is more acidic means:-
Solution:
A add 3 cups of citric acid for every 16 cups of water, the ratio =
B adds 2 cups of citric acid for every 12 cups of water =
Now, to find that who mix more citric acid in the mixture, firstly we will equalize the denominator of both fraction by taking LCM so that can be compare easily.
LCM of 16 and 12:- <u>48</u>
16 - 16, 32, <u>48</u>, 64, 80, 96....
12 - 12, 24, 36, <u>48, </u>60, 72.......
For friend A -
For friend B -
<em>We found that in terms of 48 cups of water, friend A mixes 9 cups of acid while friend B mixes 8 cups of acid, means A is adding more acid than B and</em> hence friend A's mixture is more acidic.