Answer:
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
8
x
−
12
<
8
x
+
8
Step 2: Subtract 8x from both sides.
8
x
−
12
−
8
x
<
8
x
+
8
−
8
x
−
12
<
8
Step 3: Add 12 to both sides.
−
12
+
12
<
8
+
12
0
<
20
Answer:
- 8° per hour
Step-by-step explanation:
Given that:
Station A = - 6°
Station B = 2°
Rate of temperature change = x° / hour ; which is the same at both stations
Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;
Temperature change in Station A:
-6 + 3x
Temperature change in station B:
2 + 4x
Temperature change in A = temperature change in B
-6 + 3x = 2 + 4x
Collect like terms
3x - 4x = 2 + 6
- x = 8
x = - 8
Hence, the rate of temperature change x in both stations is - 8° per hour
Answer:
PR=Z=2
Step-by-step explanation:
Let, number of solid color gift sold is x and printed gift wrap is y.
Also, number of printed paper sold , 325.
Expressing, it in mathematical equation :
y = 325 ....... 1)
Also, The band needs to earn $2,500 for an upcoming competition.
So ,
3.5x + 5y = 2500 ....... 2)
Solving equation 1 and 2 :
3.5x + 5(325) = 2500
3.5x = 2500 - 1625
3.5x = 875
x = 250
Therefore, number of solid paper they must sell is 250.
Hence, this is the required solution.
