Nick works two jobs to pay for college. He tutors for $15 per hour and also works as a bag boy for $8 per hour. Due to his class and study schedule, Nick is only able to work up to 20 hours per week but must earn at least $150 per week. If t represents the number of hours Nick tutors and b represents the number of hours he works as a bag boy, which system of inequalities represents this scenario? A.) t + b greater than or equal to 20 15t + 8b = 150
B.) t + b less than or equal to 20 15t + 8b greater than or equal to 150
C.) t + b less than or equal to 20 15t + 8b less than or equal to 150
D.) None of the systems shown represent this scenario.
Answers
Answer:
Option B is the correct answer.
Step-by-step explanation:
Earning for tutoring per hour = 15$
Earning for bag boy per hour = 8$
We have Nick is only able to work up to 20 hours per week but must earn at least $150 per week and t represents the number of hours Nick tutors and b represents the number of hours he works as a bag boy.
Nick is only able to work up to 20 hours per week
t + b ≤ 20
But must earn at least $150 per week
15 t + 8 b ≥ 150
Option B is the correct answer.
He can't work more than 20 hours so t+b must be less than or equal to 20.
He has to earn $150 so it cannot be less than 150. Theoretically he could earn more, e.g doing 10 hours of each job which equals $230
Therefore t + b less than or equal to 20 15t + 8b greater than or equal to 150
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A bag contains 6 green marbles, 9 red marbles, 7 white marbles, and 3 black marbles. What is the probability of drawing a red marble out of the bag? A. 1/18 B. 9/16 C. 9/25 D. 1/4
Answers
$80
$96
$120
Answers
Tomar get $96.00 to works 8 hours.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
When Tomar works 5 hours, he gets paid $60.00.
Now,
Since, When Tomar works 5 hours, he gets paid $60.00.
So, The amount to get in 1 hour = $60.00 / 5
= $12
Thus, The amount to get works in 8 hour = $12 x 8
= $96.00
Therefore, Tomar get $96.00 to works 8 hours.
Learn more about the multiplication visit:
#SPJ2
Sometimes
Never
Answers
Answer:
The answer is never.
Step-by-step explanation:
A scalene triangle is the one, which has all the three sides unequal. A scalene triangle has no equal sides so it has no lines of symmetry as a line of symmetry would divide the triangle evenly.
Therefore, the answer is never.
A scalene triangle NEVER has symmetry with respect to a line containing an altitude of the triangle.
Answer: Never/False
Explanation: A scalene triangle "never" has a symmetry with respect to a line containing an altitude of the triangle.
Hope this helps!
Thank you :)
-Charlie
Answers
Answer:
40
Step-by-step explanation:
Hello, I think I can help you with this
you can solve this easily using a simple rule of three
Step one
define the relation and solve for x
if
1 gallon ⇒16 cups
2.5 gallons⇒x cups?
so, 2.5 gallons is the same amount as 40 cups
I hope it helps, Have a fantastic day.
Answers
hope this helps! :)
Answers
dP/dt = kA
where k = proportionality constant, A = amount of subtance.
Integrating that equation yields,
A = ce^(kt)
where c = constant of integration.
The constant of integration is represented mostly as an initial amount of substance.
We have given two initial condition:
(1) t = 0, A = 35 milligrams (present)
(2) t = 850 years, A = 35/2 milligrams (half-life)
We are going to solve for c:
35 = ce^0
c = 35
Next, solving for k:
35/2 = 35e^(k*850)
1/2 = e^(k*850)
Multiplying natural logarithm on both sides to bring down k:
ln (1/2) = k*850
k = ln (1/2) / 850
k = -0.00081547
Finally, the time when the amount of substance has 10 milligrams remaining is:
10 = 35e^(-0.00081547*t)
10/35 = e^(-0.00081547*t)
Multiplying natural logarithm on both sides to bring down t:
ln (2/7) = -0.00081547*t
t = ln (2/7) / -0.00081547
t = 1536.25 years (ANSWER)