1. Marietta is selling cheeses for the holiday fundraiser. On Monday, she sold 7/9 of the boxes of cheeses. On Tuesday she restocked her supply and sold 0.85 of the boxes of cheeses. On which day did Marietta sell more boxes? Explain.

2. Patsy has cheerleading practice every fourth day. She wants to be in the school play, but they have practice every sixth day. If both start on September 5th, what would be the next date she has to choose between cheerleading and play practice? Show your work and explain.

3. Is 38/53 in simplest form? Explain why or why not. If not, write it in simplest form.

4. A number is written with the following factorization: 2 to the 2nd power x 3 x 5 to the fourth power x 8 x 11 to the 2nd power. . Is this factorization a prime factorization? Explain why or why not. If it is not correct, give the correct prime factorization of the number.

MAKE THIS SOUND 6TH GRADE PLEASE

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chisnau chisnau · Answer 1 · 2018-11-16T08:14:44+01:00

1.

Number of boxes sold on Monday = [tex]\frac{7}{9}=0.77[/tex]

Number of boxes sold on Tuesday = 0.85

Hence, comparing the two values, Marietta sold more boxes on Tuesday because 0.85>0.77

2.

Pasty has cheerleading practice every = 4th day

She has school play practice every = 6th day

Both start on September 5th, so the next date she has to choose between cheerleading and play practice- to find this we will find the LCM of 4 and 6

Least Common Multiple for 4 and 6 is 12 or LCM(4, 6) = 12

Hence, 12 days after September 5th is i.e September 17th is the day she has to choose between the two.

3.

Is 38/53 in simplest form

Yes, it is in the simplest form as there are no common factors between the numerator and denominator except 1.

4.

[tex]2^{2}\times3\times5^{4}\times8\times11^{2}[/tex]

it is not prime factorization because 8 is not a prime number.

8 can be factorized as = [tex]2\times2\times2=2^{3}[/tex]

So, prime factor form is =

[tex]2^{5}\times3\times5^{4}\times11^{2}[/tex]