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:
Answer:
3.5 Grams
Step-by-step
set 2grams/60lbs equal to xgrams/105
x representing the amount of medicine needed for a 105lb child
Then you divide 60 by 105.
60/105=1.75
Now you multiply 2 by 1.75.
2 x 1.75 = 3.5
3.5 is your answer because 105 is 1.75 times more lbs than 60lbs
meaning you would need 1.75 times the amount of 2grams
to determine the value of x, which is 3.5grams
Answer:
Step-by-step explanation:
The shaded region is the difference of areas of semicircle AB and triangle ABC.
ABC is right triangle as AB is diameter, so C is right angle.
<u>Area of semicircle:</u>
- A = 1/2πr² = 1/2*3.14*4² = 25.12 cm²
<u>Area of triangle:</u>
- A = 1/2BC*AC = 1/2*4*
= 2
= 13.86 cm²
<u>Shaded are is:</u>
- 25.12 - 13.86 = 11.26 cm²
APR=18%
Monthly interest = 18/12=1.5%
If Caitlyn paid before due date,
amount liable for interest charges = 375-250 = $125
Interest charge for the month
=$125*1.5%
=$1.88
If a single expression is required, then
interest = (375-250)*0.018/12 = $1.88 to the nearest cent.
