<span>200 < 225 + 80x < 550
The 200 is the amount the Jenna currently have.
225 + 80x is the amount that Jenna has to pay given x number of hours.
550 is the sum of Jenna's 200 and additional 350 she can get by selling pre-ordered Cds. This is the maximum amount she can pay for the studio rental and sound technicians.
225 + 80x < 550
80x < 550 -225
80x < 325
80x / 80 < 325/80
x < 4.06 or 4 hours
225 + 80x </span>→ 225 + 80(4) = 225 + 320 = 545
<span>
The number of hours for the sound technician will range from 1 hour to 4 hours.
Assuming they will use 6 hours.
225 + 80(6) = 225 + 480 = 705
705 - 550 = 155
Jenna has to raise an additional $155 to pay off the studio rent and 6 hours of sound technicians.
</span>
Answer:
14d + 12c -4
Step-by-step explanation:
Answer:
option A
Step-by-step explanation:
∠WPS +∠OPW = 180 {straight line}
∠WPS +110 = 180
∠WPS = 180 - 110
∠WPS = 70°
∠RWQ + ∠QWT +∠TWU = 180 {straight line}
∠RWQ + 60 + 50 = 180
∠RWQ + 110 = 180
∠RWQ = 180 - 110
∠RWQ= 70°
∠PWU + ∠USP + ∠ WPS = 180 {angle sum property of triangle}
∠PWU + 40 + 70 = 180
∠PWU + 110 = 180
∠PWU = 180 - 110
∠PWU = 70°
The answer is (-18, -2). Just multiply by 2!
Answer:
[-6,-3]
Step-by-step explanation:
So we have the compound inequality:
Let's solve for each of the inequalities:
1)
We have:
Subtract x from both sides:
Subtract 7 from both sides:
So that's one of our answers.
2)
We have:
Subtract 3x from both sides:
Subtract 4 from both sides:
Divide both sides by -2. Since we're dividing by a negative, flip the sign:
Therefore, our entire answer is:
This means all values in between -3 and -6 including -3 and -6.
In interval notation, this is:
![[-6,-3]](https://tex.z-dn.net/?f=%5B-6%2C-3%5D)
So, A is -6.
And B is -3.
And we're done :)
