3y + 2 > 5y + 8
2y > -6
y > -3
<em><u></u></em>
<em><u>Answer:</u></em>
<em><u></u></em>
<em><u></u></em>
<em><u>13 and 5</u></em>
<em><u></u></em>
<em><u></u></em>
<em><u>Step-by-step explanation:</u></em>
<em><u></u></em>
<em><u></u></em>
<em><u>x+y=18</u></em>
<em><u></u></em>
<em><u></u></em>
<em><u>x-y=8</u></em>
<em><u></u></em>
<em><u></u></em>
<em><u>_____</u></em>
<em><u></u></em>
<em><u></u></em>
<em><u>2x=26</u></em>
<em><u></u></em>
<em><u></u></em>
<em><u>x=13</u></em>
<em><u></u></em>
<em><u></u></em>
<em><u>So the first number must be 13</u></em>
<em><u></u></em>
<em><u></u></em>
<em><u>13+y=18</u></em>
<em><u></u></em>
<em><u></u></em>
<em><u>y=5</u></em>
<em><u></u></em>
<em><u></u></em>
<u><em>And the second number must be 5</em></u>
Answer:
1) $350
2) 55°
3) $300
Step-by-step explanation:
1) The total cost is the cost of the appointment plus the cost of the repair work. The appointment costs $50. The repair work costs $120 per 2 hours. So the total cost is:
C = 50 + (120/2) t
C = 50 + 60t
For 5 hours of work, the cost is:
C = 50 + 60(5)
C = 350
It costs $350.
2) The temperature starts at 70°. It drops 10° in 4 hours. So the temperature after t hours is:
T = 70 + (-10/4) t
T = 70 − 2.5t
After 6 hours:
T = 70 − 2.5(6)
T = 55
The temperature is 55°.
3) Jennie's total pay is her weekly pay plus her commissions. If her commission is x% of her sales, then her pay is:
P = 250 + (x/100) S
When her sales is $1000, her pay is $275.
275 = 250 + (x/100) 1000
275 = 250 + 10x
25 = 10x
x = 2.5
So her pay is:
P = 250 + (2.5/100) S
When S = $2000:
P = 250 + (2.5/100) 2000
P = 250 + 50
P = 300
Her total pay is $300.
Answer:
-2
Step-by-step explanation:
Let's call the number x. The statement tells us that
x^2 - 10 = 3x, or
x^2-3x-10 = 0
Factoring:
(x-5)(x+2) = 0. Here, we see that there are two solutions: x = 5 and x = -2. So, the negative solution is x = -2.
C is the correct answer because triangles always equal to 180 degrees