Answer:
Clem's Height =38 Inches
Clyde's Height= 53 Inches
Chloe's Height = 47 Inches
Step-by-step explanation:
Let Clem's height be x, Clyde's height be y and Chloe's height be z
As given
x+y+z=11 feet 6 inches
As 1 Foot= 12 Inches so (11*12+6)=138
x+y+z= 138 inches (Equation 1)
Clem is 15 inches shorter than Clyde so:
x+15=y (Equation 2)
Clyde is 6 inches taller than Chloe
z=y-6 (Equation 3)
Putting z's value from equation 3 in equation 1
x+y+y-6=138
x+2y=138+6
x+2y=144 (Equation 4)
Putting Value of y from equation 1 in equation 4
x+2(x+15)=144
x+2x+30=144
3x=144-30
x=114/3
x=38
Putting x's value in equation 1 to get the value of y
38+15=y
y=53
Putting value of y in equation 3
z=53-6
z=47
Checking by putting values of x,y,z in equation 1 to see whether all heights equal 138 inches or not
38+53+47=138
138=138
Answer:
18.6 ounces
Step-by-step explanation:
What your question i can help you
Answer:
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
where
m is the slope
b is the y-intercept
we have
----> equation of the line into point slope form
Convert to slope intercept form
Isolate the variable y
Distributed left side
subtract 5 both sides
Answer:
x = 7
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
7x - 6 = 8 + 5x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 5x on both sides: 2x - 6 = 8
- Add 6 to both sides: 2x = 14
- Divide 2 on both sides: x = 7
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 7(7) - 6 = 8 + 5(7)
- Multiply: 49 - 6 = 8 + 35
- Subtract/Add: 43 = 43
Here we see that 43 does indeed equal 43.
∴ x = 7 is a solution of the equation.
