Answer:
6
Step-by-step explanation:
Using Euclid's algorithm, we divide the larger by the smaller. If the remainder is zero, the divisor is the GCF. Otherwise, we replace the larger with the remainder and repeat.
18 ÷ 12 = 1 r 6
12 ÷ 6 = 2 r 0 . . . . the GCF is 6
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You can also factor the numbers and see what the common factors are.
18 = 2·3·3
12 = 2·2·3
The common factors are 2·3 = 6.
In the factorizations, we see 2 to powers of 1 and 2, and we see 3 to powers of 1 and 2. The GCF is the product of the common factors to their lowest powers: (2^1)(3^1) = (2)(3) = 6
Answer: 12a.) slope is 125, y-intercept is 50 (started at 50 ft)
12b.) f(3) = 425 feet
12c.) 3.6 hours
Step-by-step explanation:
12a.) The slope equation is y = mx+b, where m is the slope, and b is the y intercept.
12b.) to find f(3) you could either plug it into the equation given (125x+50) or pretend there is a vertical line at 3 on the x axis, and where it crosses the line given would be the answer.
12c.) He is climbing a 500 ft cliff, and according to the graph, it takes him 3.6 hours to do it. Another way to find this answer would be to find f(3.6), which is indeed 500 ft.
Hope this helps!
Answer:
Step 1: Transpose everything to one side
12. x²+16x+15-10x+4=0
Step 2: Add the like terms
x² + (16x - 10x) + 15 + 4=0
x² + 6x + 19=0
Step 3: Use the quadratic formula to get the value(s) of x.
a=1 b=6 c=19
therefore, x=... or x
(5 3/10) (m) + (5 3/10) (m) + (5 3/10) (m) + (5 3/10) (m)
P = 53/10 + 5 3/10 + 5 3/10 + 5 3/10
P = 53/10 + 53/10 + 5 3/10 + 5 3/10
P = 53/5 + 5 3/10 + 5 3/10
P = 53/5 + 53/10 + 5 3/10
P = 159/10 + 5 3/10
P = 159/10 + 53/10
P = 106/5
P = 21 1/5 meters
Answer: 21 1/5 meters (Decimal: 21.2m)
Hope that helps!!!! Have a great day!!!! : )
Answer:
Number of child tickets = 9
Number of adult tickets = 36
Number of senior tickets = 27
Step-by-step explanation:
Given:
The ratio of adult tickets to child tickets = 4:1
Ratio of adult tickets to senior tickets = 4:3
Number of total tickets = 72
Find:
The number of each ticket.
Computation:
Ratio between Adult to senior to child = 4:3:1
So,
Number of child tickets = [1 / (4+3+1)]Total tickets
Number of child tickets = [1 / (8)]72
Number of child tickets = 9
Number of adult tickets = [4 / (4+3+1)]Total tickets
Number of adult tickets = 36
Number of senior tickets = [3 / (4+3+1)]Total tickets
Number of senior tickets = 27
