Answer:
The constant of proportionality is:
Step-by-step explanation:
We know that when y varies directly with x, we get
y ∝ x
y = kx
k = y/x
where 'k' is called the constant of proportionality
From the graph, it is clear that the point (2/5, 1/2) passes through the line which represents the direct relationship.
so we have the point (2/5, 1/2), and
x = 2/5
y = 1/2
so substituting x = 2/5 and y = 1/2 in the equation
k = y/x
k = [1/2] / [2/5]
k = [1 × 5 ] / [2 × 2 ]
k = 5/4
Therefore, the constant of proportionality is:
Step-by-step explanation:
15.4% of the nuts are pecans.
0.154x = 77
x = 500
There are 500 pounds of mixed nuts in the batch.
Gratuity is the total tip given.
The tip is directly proportional to total cost:
18/0.20 = x/1.00
$90
Evaluate 0.1m+8-12n0.1m+8−12n0, point, 1, m, plus, 8, minus, 12, n when m=30m=30m, equals, 30 and n=\dfrac14n= 4 1 n, equals,
Rom4ik [11]
Answer:
8
Step-by-step explanation:
We are required to evaluate:
0.1m+8-12n
When 
Substituting these values into the expression, we have:
Answer:
A negative exponent means that the number will be a decimal.
so 4 X 10^-9 (-9 being the exponent of 10)
the answer to this equation would be 0.000000004 because the decimal moves 9 times to the left
