Answer:

Step-by-step explanation:
Given
x ----- y
0.5. --- 0.8
1. --- 1.6
3.--- 4.8
25. --- 40
Required
Determine the constant of proportionality
This can be calculated using the following formula:
; Where r is the constant of proportionality;
Solve for r

When x = 0.5; y = 0.8


When x = 1; y =1.6


When x = 3; y = 4.8


When x = 25; y = 40


Notice that the value of r is constant throughout;
Hence:

Answer:
each penny is 1.52 millimeters high, and a stack of 20 pennies is 30.4 millimeters high
Step-by-step explanation:
18.24÷12= 1.52
1.52×20= 30.4
Answer:
43
Step-by-step explanation:
1: Assuming this line is linear, the first thing to do is find the slope.
The slope formula is

, so in this case, it is

, which comes to

. Then, use your slope and one of the points given to write the point-slope formula of the linear equation, and then written in standard form:
y=

x-

.
2. Use the same process as in question 1 to find:
y=-7x+11
Answer:
153.86 inches²
Step-by-step explanation:
How do we find the radius of a circle?
- The radius of a circle is 1/2 of the diameter, so 14/2 = 7 inches
How do we find the area of a circle?
- We can find the area of a circle by using πr², where r = radius. We're given the radius as 7 inches and pi as 3.14.
<u>Solving</u>
Therefore, the answer is 153.86 inches².
Have a lovely rest of your day/night, and good luck with your assignments! ♡