Answer:
x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.
Step-by-step explanation:
Let Lin works x hours per week.
Now given that Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week.
And she has to work at least 5 hours a week to $175 per week.
So, the inequality that can be written from the above condition is x ≥ 5 .......(1)
And the equation that can be written that
8.25x + 10 = 175 ....... (2)
So now we can write x = 20 hours
Hope this was helpful :)
Answer:
y = 0
Step-by-step explanation:
Plug in 28 for x. Solve for the equation:
x + 3y = 28
(28) + 3y = 28
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 28 from both sides:
28 (-28) + 3y = 28 (-28)
3y = 0
Isolate the variable, y. Divide 3 from both sides:
(3y)/3 = (0)/3
y = 0
y = 0 is your answer.
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Answer:
Options B and D are true.
Step-by-step explanation:
See the diagram attached.
Line a and b are parallel and line c is not parallel to them.
There is a transverse line and this line forms the angles 1 to 12.
Now, option A gives ∠ 8 + ∠ 10 = 180° which can not be true as line c is not parallel to line b.
Option B gives ∠4 + ∠ 6 = 180° which is true because line a is parallel to line b and ∠ 4 and ∠ 6 are interior supplementary angles.
Option C gives ∠ 1 + ∠ 11 = 180° which can not be true as line c is not parallel to line a.
Option D gives ∠3 + ∠ 5 = 180° which is true because line a is parallel to line b and ∠ 3 and ∠ 5 are interior supplementary angles.
Therefore, options B and D are true. (Answer)
Y = 2x² + 30x + 200
y = 2(x² + 15x + 100)
x² = x*x
100 ⇒ 1 x 100 ; 2 x 50 ; 4 x 25 ; 5 x 20 ; 10 x 10
200 = 2x² + 30x + 200
0 = 2x² + 30x + 200 - 200
0 = 2x² + 30x + 0
0 = 2(x² + 15x + ?)
<span>−5 ≤ x ≤ 20</span>
