The manager already hired 9 people. Let be the number of people he still can hire. Since these people will add to the 9 he already hired, when the hiring campaign will be over he will have hired people. We know that he can't hire more than 14 people, so the number of people hired must be less than or equal to 14:
If we subtract 9 from both sides, we have
so, the manager can hire at most 5 other people
Answer:
When x = 4, (4, 0)
When y = 4, (6, 4)
Step-by-step explanation:
To find the ordered-pair solution when x = 4, plug 4 into the x of the equation.
y = 2x - 8
y = 2(4) - 8
y = 8 - 8
y = 0
This produces the ordered pair (4, 0).
To find the ordered-pair solution when y = 4, plug 4 into the y of the equation.
y = 2x - 8
4 = 2x - 8
12 = 2x
6 = x
x = 6
This produces the ordered pair (6, 4).
Answer:
b=
−3
/x
Step-by-step explanation:
Step 1: Add -10 to both sides.
−2bx+10+−10=16+−10
−2bx=6
Step 2: Divide both sides by -2x.
−2bx
−2x
=
6
−2x
b=
−3
/x
Answer:
402m
Step-by-step explanation:
Set this up as a triangle and use trig to solve it:
tan(45) = y/402
y = 402*tan(45)
substitute: tan(45) = 1
y = 402 * 1
y = 402m
Answer:
g = 1/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
9 + 3.5g = 11 - 0.5g
<u>Step 2: Solve for </u><em><u>g</u></em>
- Add 0.5g on both sides: 9 + 4g = 11
- Subtract 9 on both sides: 4g = 2
- Divide 4 on both sides: g = 1/2
<u>Step 3: Check</u>
<em>Plug in g into the original equation to verify it's a solution.</em>
- Substitute in <em>g</em>: 9 + 3.5(1/2) = 11 - 0.5(1/2)
- Multiply: 9 + 1.75 = 11 - 0.25
- Add/Subtract: 10.75 = 10.75
Here we see that 10.75 does indeed equal 10.75.
∴ g = 1/2 is a solution of the equation.