Answer:
5 drahms.
Step-by-step explanation:
From the question given above, the following data were obtained:
120 grains = 6 scruples
6 scruples = 2 drahms
300 grains (in drahms) =..?
From the above data,
120 grains = 6 scruples
6 scruples = 2 drahms
Therefore,
120 grains = 2 drahms
Thus, we can obtain 300 grains in drahms as follow:
120 grains = 2 drahms
Therefore,
300 grains = 300 grains × 2 drahms /120 grains
300 grains = (300 × 2)/120 drahms
300 grains = 5 drahms
Therefore, 300 grains is equivalent to 5 drahms.
Answer:
brand a is $0.04 Brand b is $0.03
Step-by-step explanation:
cost of the box /number of spoons = unit price
Answer:
x = -2; or x = -8
Step-by-step explanation:
Solve the quadratic function by completing the square. What are the missing pieces in the steps? -32=2(x^2+10)
-32+___=2(x2+10x+25)
18=2(x+5)^2
9=(x+5)^2
+-___=x+5
X=-2 or x=___
Solution:
From the first line:
-32+___=2(x2+10x+25)
Also, in the second line:
18=2(x+5)^2
Let the missing piece on line 2 be a, hence:
x² + 10x + 25 = (x + 5)² and -32 + a = 18
a = 18 + 32 = 50
-32 + 50 =2(x²+10x+25)
18 = 2(x+5)²
Dividing through by 2:
18 / 2= [2(x+5)² / 2]
9 = (x + 5)²
Taking square root of both sides:
√9 = √(x + 5)²
± 3 = x+5
Simplifying the equation to get:
3 = x + 5; -3 = x + 5
x = 3 - 5; or x = -3 - 5
x = -2; or x = -8
To solve these types of questions, all what you need to do is simply solve for any one of the variables provided above and substitute the solved variable for the other equation. For instance in the first example:
X/2 - 2y = 5
12y + X - 2 = 0
X = 2 - 12y
(2 - 12y)/2 - 2y = 5
(2 - 12y)/2 = 2y + 5
2 - 12y = 2(2y + 5)
2 - 12y = 4y + 10
16 y + 8 = 0
16y = -8
Y =-8/16 = -1/2.
X = 2 - 12(-1/2)
X = 2 + 6
X = 8.
P(X, y) = P(8, -1/2).
Do the same method, for the other questions, except simplify them before doing so.
