There are 81 members in the marching band. The director wants to arrange the band members in rows and columns so that there are an equal number of people in each row and column. How many rows and columns would there be? ________ rows ________ columns

Answer:

If Ozzie is 8 and 6 years older than McKenzie, then McKenzie is 2 years old. So if Theo is 3 times older than McKenzie, then Theo is 6 years old.

Final answer:

Theo's age is calculated by multiplying McKenzie's age by 3. Given that McKenzie is 2 years old (Ozzie's age minus 6), so Theo is 6 years old.

Explanation:

The problem requires the application of basic arithmetic operations, specifically addition and multiplication, to solve an age problem. We know that Ozzie is 8 years old. Since Ozzie is 6 years older than McKenzie, we subtract 6 from Ozzie's age to get McKenzie's age, which is 2. Theo is 3 times older than McKenzie. Thus, to get Theo's age, we multiply McKenzie's age (2) by 3, which results in 6 years old.

Learn more about Age Problem here:

brainly.com/question/31414175

#SPJ12

The number of guests that will be served ice cream is 26 guests and there will be no ice cream left.

The total number of ice cream purchased by Yasmine at her party is:

If each guest gets served with 3/4 pints, then the number of guests that will receive the shared amount of pints is:

∴

The number of guests that can be served ice cream now is:

= 26 guests

Therefore, we can conclude that the number of guests that will be served ice cream is 26 guests and there will be no ice cream left.

Learn more about fractions here:

brainly.com/question/18134643?referrer=searchResults

Applying the relationship existing between angle pairs, the measure of each angle in the image are:

m<1 = 42°

m<3 = 75°

m<4 = 42°

m<5 = 63°

m<6 = 75°

m<7 = 105°

m<8 =  75°

m<10 = 75°

m<11 = 42°

m<12 = 138°

m<13 = 42°

m<14 = 138°

Given that a || b, where:

• m<2 = 63°
• m<9 = 105°, the missing angle measures will be determined as follows:

Find m<1:

m<1 + m<2 = m<9 (exterior interior angle theorem)

• Substitute

m<1 + 63° = 105°

m<1 = 105° - 63°

m<1 = 42°

Find m<3:

m<1 + m<2 + m<3 = 180° (angles on a straight line)

• Substitute

42° + 63°+ m<3 = 180°

105° + m<3 = 180°

m<3 = 180° - 105°

m<3 = 75°

Find m<4:

m<4 = m<1 (vertical angles theorem)

• Substitute

m<4 = 42°

Find m<5:

m<5 = m<2 (vertical angles theorem)

• Substitute

m<5 = 63°

Find m<6:

m<6 = m<3 (vertical angles theorem)

• Substitute

m<6 = 75°

Find m<7:

m<7 + m<6 = 180° (corresponding angles theorem)

• Substitute

m<7 + 75° = 180°

m<7 = 180° - 75°

m<7 = 105°

Find m<8:

m<8 = m<6 (alternate interior angles theorem)

• Substitute

m<8 =  75°

Find m<10:

m<10 = m<6 (corresponding angles theorem)

• Substitute

m<10 = 75°

Find m<11:

m<11 = m<4 (alternate interior angles theorem)

• Substitute

m<11 = 42°

Find m<12:

m<12 = m<6 + m<5 (alternate interior angles theorem)

• Substitute

m<12 = 75° + 63°

m<12 = 138°

Find m<13:

m<13 = m<11 (vertical angles theorem)

• Substitute

m<13 = 42°

Find m<13:

m<14 = m<12 (vertical angles theorem)

• Substitute

m<14 = 138°

Learn more here:

brainly.com/question/24607467

Answer:

a.    m<1 = 105° - 63°                  m<1 = 42°

b. m<3 + m<2 + m<1 = 180°      m<3 = 75°

c. m<4 = m<1                             m<4 = 42°

d. m<5 = m<2                            m<5 = 63°

e. m<6 = m<3                             m<6 = 75°

f. m<7 = m<9                             m<7 = 105°

g. m<8 = m<6                             m<8 = 75°

h. m<10 = m<8                            m<8 = 75°

i. m<11 = m<4                               m<11 = 42°

j. m<12 = 180° - m<11                   m<12 = 138°

k. m<13 = m<11                            m<13 = 42°

l. m<14 = m<12                            m<14 = 138°

Step-by-step explanation:  Sorry if not all are correct