Provide an appropriate response.Do you agree with the following statement? "If the numerator of a fraction is prime and the denominator is not prime, the fraction cannot be simplified." If you agree with the statement, explain your thinking. If you do not agree with it, give an example of a fraction which can be simplified and whose numerator is prime and whose denominator is not prime.

What will be an ideal response?


Answers will vary. Possible answer: No, the statement is false since the denominator may be a multiple of the numerator. Possible counterexample: .

Mathematics

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Solve the problem.A child on a swing sweeps out a distance of 24 ft on the first pass. If she is allowed to continue swinging until she stops, and if on each pass she sweeps out a distance  of the previous pass, how far does the child travel?

A. 16 ft B. 32 ft C. 56 ft D. 8 ft

Mathematics

Provide the requested proof.In the figure below, BD = CD. Prove that 

What will be an ideal response?

Mathematics

Use the table to solve.Factors for loan qualification:ConventionalVAFHA3. Credit score should be 650 or higher.The Francis family is trying to qualify for a conventional loan. Their gross monthly income is $3830. If they get the loan, their mortgage payment will be approximately $1200. Their total monthly debt will be $1208. They have a credit score of 660. Do they qualify?

A. f.e.r. = 0.26, b.e.r. = 0.27; Yes B. f.e.r. = 0.31, b.e.r. = 0.32; No C. f.e.r. = 1.11, b.e.r. = 1.12 ; No D. f.e.r. = 0.36, b.e.r. = 0.37 ; Yes

Mathematics

Find the inverse of the given function.log4(x)

A. x4
B. -log4(x)
C.
D. 4x

Mathematics