You need the greatest common factor of the two numbers.
First, we find the prime factorization of each number.
72/2 = 36
36/2 = 18
18/2 = 9
9/3 = 3
3/3 = 1
72 = 2^3 * 3^2
90/2 = 45
45/3 = 15
15/3 = 5
5/5 = 1
90 = 2 * 3^2 * 5
To find the GCF, use only common factors with the lower exponent.
Both 72 and 90 have 2 as a factor. 72 has 2^3, and 90 has 2. 2 has a lower exponent than 2^3, so we use 2.
Both 72 and 90 have 3 as a factor. The both have 3^2, so we use 3^2.
90 has 5 as a factor, but 72 does not, so 5 is not a common factor, so we do not use 5.
The GCF is the product of the factor we use.
GCF = 2 * 3^2 = 2 * 9 = 18
Answer: The greatest number of students he can place in a row is 18.
Answer:
The 6.5-ounce cans offer the largest size at a fair cost and is the best to buy.
Step-by-step explanation:
Size of the 4.5-ounce cans of tuna in package = 4.5 × 3 = 13.5 ounce
Cost of the package= $4.32
Size of the 3.5-ounce cans = 3.5 × 4 = 14 ounce
Cost of the package= $3.92
Size of the 6.5-ounce cans = 6.5 × 5 = 32.5 ounce
Cost of the package= $9.75
The 6.5-ounce cans offer the largest size and is the best to buy.
Hello!
If Bruce observes that the number of pitches a batter hits varies and is given by the function f(x)=x-11, and the batters get {4, 12, 14, 27, 42}, then Bruce threw {15, 23, 25, 38, 53} pitches. We get this solution set by adding 11 to each element in the set {4, 12, 14, 27, 42}.
Have a nice day
Answer:
52
Step-by-step explanation:
find the area of each individual piece
top and bottom dimensions are 4 X 3- so each one is 12 inches squared
the left and right side dimensions are 4 X 2- each one is 8
the front and back dimensions are 3 X 2 each one is 6
Surface area- add all together
12+12+8+8+6+6= 52 in squared
Answer:
Step-by-step explanation:
The ratio of the linear dimensions (perimeter) is the square root of the ratio of area dimensions, so the larger : smaller ratio is ...
√(72/50) = √1.44 = 1.2
The sum of ratio units is 1.2 + 1 = 2.2, so each ratio unit stands for ...
(226 dm)/2.2 = 102 8/11 dm . . . . . the perimeter of the smaller triangle
Then the perimeter of the larger triangle is ...
1.2 × 102 8/11 dm = 123 3/11 dm . . . . the perimeter of the larger triangle