Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from chart.</em>
Point (39, 36)
Point (40, 29)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Subtract:

- Divide:

A=1/2bh
b=8+h
A=384
384=1/2(bh)
times 2
768=bh
sub
768=b(8+b)
768=8b+b^2
minus 768 both sides
0=b^2+8b-768
factor
0=(b-24)(b+32)
set to zero
b-24=0
b=24
b+32=0
minus 32
b=-32
false, legnths cannot be negative
b=24
24=8+h
minus 8
16=h
base=24ft
altetude=16ft
<span>Let R=A AND (NOT B)] OR (NOT B)
If A=T, B=T
then ~B=F,
A and ~B = F
So R=F
If A=T,
B=F
~B=T
A and ~B=T
so (A and ~B) or ~B = T
etc.</span>
Step-by-step explanation:
Let's represent the number of mochas bought with the variable
, and the number of lattes bought with the variable
.
Since there are
students, the total number of mochas and lattes bought must be
. This can be represented with the following equation:

We can also set up another equation based on the total amount spent on the coffe:

If we rearrange the first equation, we can solve for
:

If we substitute this into the second equation, we can solve for
:





Subtituting this back into the original equation, we can solve for
:



Therefore, 9 mochas and 14 lattes were bought.
Answer:
12.57555 rounded to 12.5756
Step-by-step explanation:
34'=34*1/60=0.56°
56''=56/1/3600=0.01555°
12°+0.56°+0.01555°=12.57555°