Which one of the following groups of numbers includes all prime numbers? A. 7, 17, 63, 67 B. 3, 11, 23, 31 C. 1, 3, 11, 23 D. 2,
olganol [36]
The prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
A.
7 - is a prime number
17 - is a prime number
63 - is not a prime number because 63 = 3 × 21
B.
3 - is a prime number
11 - is a prime number
23 - is a prime number
31 - is a prime number
C.
1 - is not a prime number
D.
2 - is a prime number
3 - is a prime number
5 - is a prime number
15 - is not a prime number because 15 = 3 × 5
Answer:
slope of line is 3/5
Step-by-step explanation:
slope is the ratio of the change in the y-values over the change in the x-values
in this problem, if you go from pt A to pt B, you rise by 3 and go to the right by 5, thus slope of 3/5
if you go from pt B to pt C, you rise by 6 and go to the right by 10
however, 6/10 can be reduced to 3/5
if you start at point (0,2) and rise by 3 and run to the right by 5 you are at point (5,5)
change in y-values is 5-2 or 3
change in x-values is 5-0 or 5
(5-2)/(5-0) = 3/5
we have
6x+3y=12 -----> line p
Find the slope
3y=-6x+12
y=-2x+4
m=-2
-4x=2y-2 -----> line Q
2y=-4x+2
y=-2x+1
m=-2
therefore
the lines are parallel because their slopes are equal
Answer:
Well I can't make a table but I can explain the answer.
Step-by-step explanation:
So you have $1,800 on a payment plan. In three months, the balance is 1,350. So 1,800-1,350=450. This means he paid $450 in three months. 450/3 is 150. He pays $150 a month. Then 2 months later, (5 months after purchase) he has balance is $1,050. 1,350-1,050=300. 300/2=150. Further evidence of the fact that he pays 150 dollars a month. This means that the 6th month, he will have $900 dollars left on the payment. 7th month... $850, 8th month... $600, 9th month... $450, 10th month... 300 dollars, 11th month... 150, and 12 month he will have paid off all of his computer. Hope it helps, sorry it is so long. Have a great day! :D
the center square is 20 x 20 = 400
there are 4 12 x 20 areas
12*20 = 240*4 = 960
960+400 = 1360 square inches