Factor 16d − 12 using the GCF.(1 point)
The GCF of 16d and 12 is 4. Thus, we can factor out 4 from both terms:
16d - 12 = 4(4d - 3)
The school store is running low on erasers for pencils. They want to order more, so they look at the prices for 4 brands. Which one is the best buy? Brand A: 20 for $2.50 Brand B: 35 for $3.25 Brand C: 50 for $5.25 Brand D: 100 for $10.00 (1 point) Responses Brand A Brand A Brand B Brand B Brand C Brand C Brand D
To determine the best buy, we need to compare the prices per eraser for each brand.
For Brand A, the price per eraser is $2.50/20 = $0.125.
For Brand B, the price per eraser is $3.25/35 ≈ $0.093.
For Brand C, the price per eraser is $5.25/50 = $0.105.
For Brand D, the price per eraser is $10.00/100 = $0.10.
Comparing the prices per eraser, Brand B is the best buy as it offers the lowest price per eraser at approximately $0.093.
Find the GCF of 45g+30h .(1 point)
To find the greatest common factor (GCF) of 45g and 30h, we need to identify the common factors of the coefficients (45 and 30) and the variables (g and h).
The prime factorization of 45 is 3 * 3 * 5.
The prime factorization of 30 is 2 * 3 * 5.
To find the common factors, we look for the highest power of each prime factor that appears in both numbers. In this case, the common factors are 3 and 5.
For the variables, we look for the variables that are present in both terms. In this case, the common variable is "none".
Therefore, the GCF of 45g+30h is 3 * 5 = 15.
Find the GCF of 18j+27 .(1 point)
To find the greatest common factor (GCF) of 18j and 27, we need to identify the common factors of the coefficients (18 and 27) and the variables (j).
The prime factorization of 18 is 2 * 3 * 3.
The prime factorization of 27 is 3 * 3 * 3.
To find the common factors, we look for the highest power of each prime factor that appears in both numbers. In this case, the common factor is 3, raised to the power of 1, since it appears in both numbers but with different exponents.
For the variable, we look for the variable that is present in both terms. In this case, the common variable is "j".
Therefore, the GCF of 18j+27 is 3 * j = 3j.