Answer:
4.875
Step-by-step explanation:
LM = 16,
MN = 13x
LN = 19x + 10
Now look at the alphabets and imagine the line in your head. just take it as a straight line
L M N
|---------------|------------------|
Like this, so we can see that LM+MN = LN
Therefore
LM +MN = LN
16 + 3x = 19x + 10
3x - 19x = - 16 +10
-16x = - 6
16x = 6
8x = 3
x = 3/8
Now put this value of x into MN
MN =13x
= 13 (3/8)
=4.875
I believe the answer would be A.
Answer:
<h2>Graph b</h2>
Step-by-step explanation:
The equation of a linear function in slope-intercept form:

m - slope
b - y-intercept
The graph of linear function is a straight line therefore we need only two points to the plotting the graph.


Answer:
1 hotdog cost $2.25
1 popcorn cost $3.5
Step-by-step explanation:
Let the price of hotdog be and that of popcorn be p
For the first hour;
15p + 14h = 84 •••• (i)
for the second hour;
18p + 16h = 99 •••••(ii)
so we want to solve these two equations simultaneously
In equation 1,
14h = 84-15p
h = (84-15p)/14
Simply insert this into equation ii
18p + 16(84-15p)/14 = 99
Multiply through by 14
252p + 1344 - 240p = 1386
1386-1344 = 252p-240p
12p = 42
p = 42/12
p = $3.5
to get cost of hotdogs;
h = (84-15p)/14
Substitute p = 3.5
h = (84-52.5)/14
h = 31.5/14
h = 2.25
<span>Your taxable income must be less than $100,000 and only come in the form of wages</span>