Answer:
40g of chocolate are left.
Step-by-step explanation:
3/5*100=300/5=60
100-60=40
Answer:
x² + 7x + 10 = 0
Subtract 10 from both sides
x² + 7x = -10
Use half the x coefficent (7/2) as the complete the square term
(x + 7/2)² = -10 + (7/2)²
note: the number added to "complete the square" is (7/2)² = 49/4
(x + 7/2)² = -10 + 49/4
(x + 7/2)² = 9/4
Take the square root of both sides
x + 7/2 = ±3/2
Subtract 7/2 from both sides
x = -7/2 ± 3/2
x = {-5, -2}
Answer:
(9, 6)
Step-by-step explanation:
<u>Midpoint formula is:</u>
- x = (x₁ + x₂)/2
- y = (y₁ + y₂)/2
<u>Having coordinates of one end- and midpoint </u>(-5, 12) <u>and</u> (2, 9)<u>:</u>
- x₁ = -5, y₁ = 12
- x = 2, y = 9
<u>we get the coordinates of the missing endpoint with coordinates</u> (x₂, y₂):
- x₂ = 2x - x₁ = 2*2 - (-5) = 4 + 5 = 9
- y₂ = 2y - y₁ = 2*9 - 12 = 18 - 12 = 6
<u>So the missing point is</u>: (9, 6)
Answer: 45 is 75 percent of 60
Step-by-step explanation:
Answer:
The answer to your question is:
x = 1; y = 1, z = 0
Step-by-step explanation:
-2x + 2y + 3z = 0 (I)
-2x - y + z = -3 (II)
2x + 3y + 3z = 5 (III)
I and II. Multiply II by 2
-2x + 2y + 3z = 0
(2)(-2x - y + z = -3 )
-2x + 2y + 3z = 0
-4x - 2y + 2z = -6
-6x + 5z = - 6 (IV)
II and III. Multiply II by 3
-6x - 3y + 3z = -9 (II)
2x + 3y + 3z = 5 (III)
-4x + 6z = -4 (V)
IV and V. Multiply IV by 2 and V by -3
-12x + 10z = -12
12x - 18z = 12
- 8 z = 0
z = 0
Substitute z in IV
-6x + 5(0) = -6
-6x = -6
x = 1
Substitute x and z in I
-2(1) + 2y + 3(0) = 0
-2 + 2y = 0
2y = 2
y = 1
