Answer:
$4
Step-by-step explanation:
The equation for direct proportionality =
y = bx
where y = dependent variable
b = constant
x = independent variable
There is positive proportionality is two variables are positively related to each other.
In this question, price of lunches is the dependent variable while number of lunches is the independent variable
$16 = b4
Divide both sides by 4 to find b
b = $4
Solutions
To solve the equation we have to isolate 12y
4.b.
Answer: See below.
Step-by-step explanation:
<h2><u>
For the equation f(x) = 2x</u></h2>
3.a. f(6) means use x = 6 in the equation f(x) = 2x
so f(6) would be f(6)= 2(6)
<u>f(6) = 12</u>
3.b. f(-11) = 2(-11)
<u>f(-11) = -22</u>
3.c. f(2.75) = 2(2.75)
<u>f(2.75) = 5.5</u>
3.d. This is turned around. We are told f(x)=20, so what would x need to be for f(x) to be 20? Since f(x) = 2x, we can say 20 = 2x. Therefore x = 10
f(10) = 20
<u>The rest of (3) are solved in the same fasion.h</u>
<u></u>
<h2><u>
For the equation f(x)= 5x+50</u></h2>
4.a. f(7) = 5(7)+50
<u>f(7) = 85</u>
4.b. f(-12)
f(-12) = 5*(-12)+50
<u>f(-12) = -60</u>
<u></u>
Continue in the same fashion for these types of problems.
Answer:
151.9 if the side length of the pentagon/ base of each triangle is 6 m
Step-by-step explanation:
if the side length of the pentagon/ base of each triangle is 6 m then it is a pretty simple question, we just need to add the surface area of the base pentagon and each triangle.
We have the area of the base, so we just need the triangles. The area of a triangle is .5bh, where the base of a triangle here is one side of the pentagon and the height is that indicated red 6. so that means one triangle has an area of .5*6*6 or 18. There are 5 triangles total so that means that with all the triangles there is an area of 90. Adding that to 61.9 gets us 151.9. let me know if you need any more help.
Answer:
10
Step-by-step explanation:
Substitute n for 10, 11 and 13
45 - 10 = 35
45 - 11 = 34
45 - 12 = 33
The answer is ten because when substituting n for 10, the equation
35 = 45 - 10
is true
