Answer: (a) 11.8
(b) 13
Step-by-step explanation:
Since George wants to put a string of lights around , it means we will have to consider the perimeter of the shape.
Perimeter of a rectangle is given by :
P = 2( L+B)
P = 2 ( 2.5 + 3.4)
P = 2 ( 5.9)
P = 11.8 meters
(b) Since he wants to put an addition to his wooden deck that is 0.6 meters longer , then the perimeter will be the perimeter of the first shape + 2(0.6). We used 2(0.6) because the two lengths of the rectangle must be considered
Therefore, we have
P = 11.8 meters + 2(0.6)
= 11. 8 + 1.2
= 13 meters
Therefore George needs 13 meters length of light
Your answer would be, You can use the Elimination Method, by Multiplying, One or Both Equations by a Constant.
Solve System of Linear Equation:
3x - 6y = -8, -1/4x + 4y = 6 ====> y = 32 /21; x = 8 / 21
Steps:
[ 3x - 6y = -8, -1 / 4x + 4y = 6 ]
Isolate x for 3x - 6y = -8: x = -8 + 6y / 3
3x - 6y = -8
Add 6y both sides:
3x - 6y + 6y = -8 + 6y
Simplify:
3x = - 8 + 6y
Divide Both sides by 3:
3x / x = -8 / 3 + 6y / 3
Simplify:
x = -8 + 6y / 3
Substitute:
x = -8 + 6y / 3
[ 1 / 4 * -8 + 6y / 3 + 4y = 6 ]
Isolate:
-1 / 4 -8 + 6y / 3 + 4y = 6
y = 32 / 21
For x = -8 + 6y / 3
Substitute:
y = 32 / 21
x = -8 + 6 / 3 * 32 / 21
-8 + 6 / 3 * 32 / 21
x = 8 / 21
The Solution to the Systems of Equations are: y = 32 / 21; x = 8 / 21
Hope that helps!!! : )
Answer:
Z +6
Step-by-step explanation:
Z + 15 - 9
Combine like terms
Z +6
Answer:
1/12 for red marbles
1/12 for black marbles
Step-by-step explanation:
reason why both 1/12 it because you picked a marble first and you brought it back, then you pick again
Answer:
Step-by-step explanation:
16/ 3/4= 12 marbles