Answer k=16
A recipe says to use 3 cups of flour to make 48 cookies.
the number of cookies made, y, to the number of cups of flour used,x .
Than
y = kx
Where k is the constant of proportionality.
48 = 3k
k = 16
Therefore the constant of proportionality is 16.
Answer:
(4x+1)(2x^2-5)
Step-by-step explanation:
Answer:the cost of each CD for a member is $5.25
Step-by-step explanation:
The membership costs $22 per year, and then a member can buy CDs at a reduced price.
Let x represent the cost of each CD for a member.
Let n represent the number of CDs that each member buys. This means that the total cost of buying n CDs for a member for a year would be
22 + nx
If a member buys 17 CDs in one year, the cost is $111.25. This means that
17x + 22 = 111.25
17x = 111.25 - 22 = 89.25
x = 89.25/175 = 5.25
If segments AB and CD are congruent, then they have equal lengths:
5x-2=2x+7.
Solve this equation.
1. Separate terms with x and without x in different sides:
5x-2x=7+2,
3x=9.
2. Divide by 3:
x=3.
Then CD=2x+7=2·3+7=6+7=13.
Answer: correct choice is B.
Option A
The centripetal acceleration is 1.32 
<em><u>Solution:</u></em>
From given question,
A cyclist rides in a circle with speed 5 m/s
The circle has a radius of 19 m
To find: Centripetal acceleration
<em><u>The formula for Centripetal acceleration is given as:</u></em>
Where,
= centripetal acceleration
r is the radius and v is the velocity
From given statement,
radius = r = 19 m
velocity = v = 5 m/s
<em><u>Substituting the values in above formula, we get</u></em>
Thus centripetal acceleration is 1.32
