X + 3y - 2z = 1
-x - 4y + 6z = 2
-------------------add
-y + 4z = 3
x + 3y - 2z = 1....multiply by -2
2x - y + 2z = 1
------------------
-2x - 6y + 4z = -2 (result of multiplying by -2)
2x - y + 2z = 1
-----------------add
-7y + 6z = -1
-y + 4z = 3 .....multiply by -7
-7y + 6z = -1
-----------------
7y - 28z = -21 (result of multiplying by -7)
-7y + 6z = -1
-----------------add
- 22z = -22
z = -22/-22
z = 1 <===
-y + 4z = 3
-y + 4(1) = 3
-y + 4 = 3
-y = 3 - 4
-y = -1
y = 1 <===
x + 3y - 2z = 1
x + 3(1) - 2(1) = 1
x + 3 - 2 = 1
x + 1 = 1
x = 1 - 1
x = 0 <==
so x = 0, y = 1, and z = 1
Answer:
D, B, F
Step-by-step explanation:
$2 each pound
x= pounds
y= total cost
1 pound= $2
the $2 : constant
the number of pounds: variable
the equation is y=2x
1 pound: $2
2 pounds: $4
4 pounds: $8
5 pounds: $10
these also could be written as coordinates
the coordinates are (1,2),(2,4),(4,8),(5,10)
Answer:
Step-by-step explanation:
A right triangle has a right angle in it. The base and height are then the sides that make the right angle. You can change the 2.5 to a fraction 5/2 or leave it a decimal and just use your calculator. Once the base and height are drawn, you don't have to calculate the hypotenuse (the longest side) just connect the third side. See image. Also, def do this on graph paper it's easier. The new triangle should be bigger than the original this time bc 2.5 is bigger than 1 and so it makes your shape bigger.
Probability=number of specific outcomes/total possible outcomes...
P(e)=3/(3+2)
P(e)=3/5 (60%)
Answer:
2.625 powder is needed.
Step-by-step explanation:
14/4= 3.5
3.5*.75= 2.625