Using arithmetic and the information provided, there were 6 persons at the party.
<h3>Number of people at the party</h3>
The question is asking us to use the cost of the plates served to each person to calculate the number of people in the party from the information available in the question.
- Normal charge of a plate of food = $95
- Additional charge on each plate of food = $12.75
- Total cost of the party = $656
- Total cost of food for each person = $95 + $12.75 = $107.75
Number of people at the party can be obtained from; Total cost of food at the party/ Total cost of each plate of food
= $656/ $107.75 = 6 persons
Learn more about arithmetic: brainly.com/question/2171130
Answer:
addition property of equality
Step-by-step explanation:
This is because the addition property of equality means
if 
then 
So if, 
then 
So the question is asking to solve for y
You know RS=7y-4
You know ST=y+5
You know RT=28
RS+ST=RT as shown in the diagram, This means that you can use that equation and replace RS,ST, and RT with what you know they are equal too. So you end up with the equation:
(7y-4)+(y+5)=28, Now you have to solve for y
7y-4+y+5=28
8y+1=28
8y=27
y=3.375
Answer:
2.4
Step-by-step explanation:
12x2.4 = 28.8 (Area)
12+12+2.4+2.4 = 28.8 (Perimeter)
X4)-(2•(x3)))-32x2)+18x
STEP
2
:
Equation at the end of step
2
:
(((x4) - 2x3) - 32x2) + 18x
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
x4 - 2x3 - 9x2 + 18x =
x • (x3 - 2x2 - 9x + 18)
Checking for a perfect cube :
4.2 x3 - 2x2 - 9x + 18 is not a perfect cube
Trying to factor by pulling out :
4.3 Factoring: x3 - 2x2 - 9x + 18
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -9x + 18
Group 2: x3 - 2x2
Pull out from each group separately :
Group 1: (x - 2) • (-9)
Group 2: (x - 2) • (x2)
-------------------
Add up the two groups :
(x - 2) • (x2 - 9)
Which is the desired factorization
Trying to factor as a Difference of Squares:
4.4 Factoring: x2 - 9
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : x2 is the square of x1
Factorization is : (x + 3) • (x - 3)
Final result :
x • (x + 3) • (x - 3) • (x - 2)
