Answer:
j = 2/19
Step-by-step explanation:
Step 1: Subtract 7 on both sides
-2/j = -19
Step 2: Multiply <em>j</em> on both sides
-2 = -19j
Step 3: Divide both sides by -19
2/19 = j
If the question is -2/(j + 7) = 12:
Step 1: Multiply both sides by j + 7
-2 = 12(j + 7)
Step 2: Distribute
-2 = 12j + 84
Step 3: Subtract 84 on both sides
-86 = 12j
Step 4: Divide 12 on both sides
j = -43/6 = -7.167
Answer:
(a-b)^3 = a^3 - 3a^2b + 3ab^2 - b^3.
Manuel needs 20 liters of the 8% and 5 liters of 20% mixtures to be mixed so as to get 30 liters of a mixture of water and 10% lemon juice.
Let x represent the amount of 8% lemon juice in liters and y represent the amount of 20% lemon juice in liters.
Since Manuel wants to produce a 30 liters mixture from 8% lemon juice and 20% lemon juice, hence:
x + y = 30 (1)
Also, Manuel wants 30 liters of a mixture of water and 10% lemon juice, hence:
8% of x + 20% of y = 10% of 30 liters
0.08x + 0.2y = 3 (2)
Solving equation 1 and 2 simultaneously; multiply equation 1 by 0.2 and subtract equation 2 from the result:
0.12x = 3
x = 25 liters
x + y = 30
25 + y = 30
y = 5 liters
Manuel needs 20 liters of the 8% and 5 liters of 20% mixture
Find out more at: brainly.com/question/15024774
Answer:
(B) 36°
Step-by-step explanation:
AB is a secant to the circle and B D is the tangent.
Consider O as the center of the circle.
then ∠A O C =72° and ∠ COD =132°
As OD ⊥ B D [ Line from the center to the point of contact of tangent are perpendicular.]
∠ OD B= 90°
In Δ A O C
O A = O C [radii of same circle]
∠ O A C = ∠ O C A [ If sides are equal angle opposite to them are equal]
∠ O A C + ∠ O C A +∠ A O C =180° [ sum of angles of triangle is 180°]
2∠O AC+72° = 180°
∠O AC = 108°÷2
∠O AC = 54°
In Δ A B D
∠A B D + ∠A DB+ ∠BAD =180° [angle sum property of triangle]
∠A B D +90° +54° =180°
∠A B D = 180 - 144°
∠A B D =36°
Option (B) is correct.
Answer:
$1440
Step-by-step explanation:
First find the the area with feet.
18*16=288
Now convert into sq. yards
288/3=96
Finally, multiply 96 by 15
96*15=1440
$1440