Step-by-step explanation:
When we compare 2 system of equations (of the form y = mx + c), we take note of the following things:
- If the values of m and c in both equations are the same, they have infinitely many solutions
- If only the value of m is the same, they have no solutions
- If neither is the same, they have 1 solution
Bearing this in mind, we have the following answers:
y = -6x - 2 and y = -6x - 2
=> Infinitely many solutions
y = 0.5x + 5 and y = 0.5x + 1
=> No solutions
y = 0.25x + 2 and y = 5x - 4
=> 1 solution
y = 2x + 3 and y = 4x - 1
=> 1 solution
y = 2x + 5 and y = 2x + 5
=> Infinitely many solutions
y = -x - 3 and y = -x + 3
=> No solutions
Answer:
<em>8cm</em>
Step-by-step explanation:
Given three pieces of string of length 16 cm, 56 cm and 24 cm respectively. To get the the greatest length that each piece of string can be if she wants to cut the three lengths of string into smaller pieces such that all the pieces are of equal length, with no string left over, we will have to find the greatest common factor for the three lengths
16 = 2 * 8
56 = 7 * 8
24 = 3 * 8
Since 8 is common to all the factors, hence the greatest common factor is 8.
<em>Hence the greatest length that each piece of string can be, in cm is 8cm</em>
Answer:
The median is 21
Step-by-step explanation:
Since you have 12 numbers in order, that's an even number, once you put them in numerical order and start crossing them off on both sides, you'll have 18 and 24 left, add them together and divide them by 2 and you'll have your median 21.
P= 7800
R= 6.5
T=29
Interest = 7800 x .065 x 29
Interest = 14,703
14,703 + 7800 = 22,503.00
Answer:
x = 125
Step-by-step explanation:
all of the angles in a triangle must add up to 180, so 25 + 30 + x = 180. you can subtract 25 and 30 from both sides and you are left with x = 125.
hope it helps!