Answer:
x = 54
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>
-12(x + 4) + 14x = 60
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -12: -12x - 48 + 14x = 60
- Combine like terms: 2x - 48 = 60
- Add 48 to both sides: 2x = 108
- Divide 2 on both sides: x = 54
9514 1404 393
Answer:
a) V = 4w²h
b) SA = 4w² +10wh
c) SA = 4w² +37.5/w
d) C = 40w² +225/w
Step-by-step explanation:
The relevant formulas are ...
V = LWH
base area = LW
lateral area = H(2(L+W))
__
a) The length is 4 times the width, so the volume is ...
V = (4w)(w)(h)
V = 4w²h
__
b) The total surface area is the sum of the base area and the lateral area:
SA = base area + lateral area
SA = (4w)(w) + 2h(4w +w)
SA = 4w² +10wh
__
c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...
15 = 4w²h
h = 15/(4w²)
Then the surface area is ...
SA = 4w² +10w(15/(4w²))
SA = 4w² +37.5/w
__
d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:
C = 10(4w²) +6(37.5/w)
C = 40w² +225/w
Answer:
k = 5
Step-by-step explanation:
-2k = k - 7 - 8
Combine like terms
-2k = k - 15
add 15 to both sides
-2k + 15 = k
Add 2k to both sides
15 = 3k
Divide both sides by 3
k=5
Hope this helps!
Answer:
8.5 pounds
Step-by-step explanation:
$ 1.78 - 1 pound
$ 15.21 - 15.21/1.78
= 8.5
the answer is none of the above because the variable cant be combined and 56 cant either.
