Answer:
7x-20=2x-3(3x+2)
We move all terms to the left:
7x-20-(2x-3(3x+2))=0
We calculate terms in parentheses: -(2x-3(3x+2)), so:
2x-3(3x+2)
We multiply parentheses
2x-9x-6
We add all the numbers together, and all the variables
-7x-6
Back to the equation:
-(-7x-6)
We get rid of parentheses
7x+7x+6-20=0
We add all the numbers together, and all the variables
14x-14=0
We move all terms containing x to the left, all other terms to the right
14x=14
x=14/14
x=1
Step-by-step explanation:
Answer:
k(4) = 10
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
k(x) = 18 - 2x
k(4) is x = 4
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: k(4) = 18 - 2(4)
- Multiply: k(4) = 18 - 8
- Subtract: k(4) = 10
Answer:
-2.86 , -0.37 , 0.19 , 0.91 , 1.46
Step-by-step explanation:
Answer:
a = 14.19 feet
Step-by-step explanation:
Given that,
The area of a square shaped yard is 201.5 ft²
We need to find the side length of this yard in feet.
The area of a square shaped object is given by :
A = a², a is the side length of the object
Put A = 201.5 ft² in above formula,
So, the side of the square yard is 14.19 feet.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost per bracelet = 1.50
Cost per necklace = 2.25
Let :
number of necklace = n
Number of bracelet = b
Cost equation C ;
C = 1.5b + 2.25n
Number of necklace that could be sold for exactly $12
5 necklaces and 1 bracelet :
1.5 + 2.25(5) = 12.75
•2 necklaces and 5 bracelets:
1.5(5) + 2.25(2) = 12
• 3 necklaces and 3 bracelets
1.5(3) + 2.25(3) = 11.25
• 4 necklaces and 2 bracelets
1.5(2) + 2.25(4) = 12
• 3 necklaces and 5 bracelets
1.5(5) + 2.25(3) = 14.25
• 6 necklaces and no bracelets •
1.5(0) + 2.25(6) = 13.5
No necklaces and 8 bracelets
1.5(8) + 2.25(0) = 12
Amount charged per Tshirt = c
Setup fee = $40
Number of students in drama club = 21
Total cost of order = $187
Calculate C ;
Total order cost = set up fee + (cost per shirt * number of shirts)
Total order cost = 40 + 21c
187 = 40 + 21c
187 - 40 = 21c
147 = 21c
c = 147 / 21
C = 7
Hence cost per shirt = $7
