What was the main reason that early settlers gradually spread across the Americas
1. They were constantly under attack from neighboring tribes
2. They often relocated to find more favorable farming conditions.
3. They traveled far and wide to trade their goods with other tribes
4. They were nomadic hunters and had to keep moving in search of food
2. They often relocated to find more favorable farming conditions.
Kim made three quiches for a party: cheese, spinach, and mushroom. The cheese quiche was cut into 8 equal pieces, the spinach quiche was cut into 16 equal pieces, and the mushroom quiche was cut into 4 equal pieces. At the party, people ate 5 pieces of the cheese, 9 pieces of the spinach, and 2 pieces of the mushroom. Which quiche did people eat the most of? Identify the fractions in numerical order from greatest to least(1 point) Responses 1016 , 816 , 916 ; The cheese quiche was eaten the most 1016 , 816 , 916 ; The cheese quiche was eaten the most 916 , 58 , 24 ; The spinach quiche was eaten the most 916 , 58 , 24 ; The spinach quiche was eaten the most 16 , 8 , 4 ; the cheese quiche was eaten the most 16 , 8 , 4 ; the cheese quiche was eaten the most 58 , 916 , 24 ; the cheese quiche was eaten the most
The fractions in numerical order from greatest to least are:
9/16, 5/8, 2/4.
Therefore, the quiche that people ate the most of is the spinach quiche.
Gloria collects stamps. She has 18 bird stamps, 9 flower stamps, and 12 butterfly stamps. For a school project, she will display an equal number of each kind of stamp on small poster boards. What is the greatest number of poster boards Gloria can make if she uses all of the stamps?(1 point) Responses 2 poster boards 2 poster boards 3 poster boards 3 poster boards 6 poster boards 6 poster boards 9 poster boards 9 poster boards
To find the greatest number of poster boards Gloria can make, we need to find the highest common factor (HCF) of the given numbers: 18, 9, and 12.
The factors of 18 are 1, 2, 3, 6, 9, and 18.
The factors of 9 are 1, 3, and 9.
The factors of 12 are 1, 2, 3, 4, 6, and 12.
The common factors of 18, 9, and 12 are 1, 3, and 6.
Therefore, the greatest number of poster boards Gloria can make is 3.
Using the greatest common factor for one term, how can you write 64 + 28 as a product?(1 point) Responses 2(32 + 14) 2(32 + 14) 3(18 + 6) 3(18 + 6) 4(16 + 7) 4(16 + 7) 8(8 + 4)
To write 64 + 28 as a product using the greatest common factor, we need to find the greatest common factor of 64 and 28.
The factors of 64 are 1, 2, 4, 8, 16, 32, and 64.
The factors of 28 are 1, 2, 4, 7, 14, and 28.
The greatest common factor of 64 and 28 is 4.
Therefore, we can write 64 + 28 as the product: 4(16 + 7).
Which of these is equivalent to the following? 4(x – 2) (1 point) Responses 4x + 2 4x + 2 4x + 8 4x + 8 4x – 2 4x – 2 4x – 8
The expression 4(x - 2) can be simplified by distributing the 4 to both terms inside the parentheses:
4 * x = 4x
4 * (-2) = -8
So, the equivalent expression is 4x - 8.