There are 2 before the decimal point because 3×4=12 and 12 has two digits.
There are 3 after the decimal point because we add together the number of digits after the decimal point in the operands, which is 1 plus 2=3. In all then there are 2+3=5 significant figures.
An importance of mathematical proofs is that they elucidate on why a conjecture is false (untrue).
<h3>The importance of mathematical proofs.</h3>
Generally, some of the importance of mathematical proofs include the following:
- They elucidate on why a conjecture is false (untrue).
- It provides a rational and logical justification for a theory.
In geometry, some of the consequences of the inaccuracy in the conclusion within a proof are:
- It leads to the misinterpretation of concepts and theories.
- It produces wrong results.
Outside the world of geometry, there are different kinds of proofs and these include:
- The Big Bang theory.
- Reflection of light by a plane mirror.
- Surface tension in water.
Basically, if there were to be an unjustified conclusion in the proofs above, the study of the properties of matter might not be possible. Also, the end users of various materials are most likely to be affected.
Read more on proofs here: brainly.com/question/26283907
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Answer:
Step-by-step explanation:
Let the number of dimes be d and quarters be q
<u>The value is $8.80 = 880¢, so:</u>
- 10d + 25q = 880 ⇒ 2d + 5q = 176
<u>If the dimes were quarters and the quarters were dimes, the coins' total value would be $7.30 or 730¢</u>
- 25d + 10q = 730 ⇒ 5d + 2q = 146
<u>Now we have 2 equations. Solving the system by elimination, subtract 5 times the second equation from twice the first equation:</u>
- 2(2d + 5q) - 5(5d + 2q) = 2(176) - 5(146)
- 4d - 25d = -378
- -21d = -378
- d = -378/-21
- d = 18
