The answer would be less than
2(3)+3= 9
<u>3^2 + 2^2 = 9+4 = 13 </u>
Using a system of equations, it is found that Debbie worked 45 hours during the week.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Amount of hours worked by Juan.
- Variable y: Amount of hours worked by Debbie.
Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:
9x + 9y = 765
Simplifying the expression by 9:
x + y = 85 -> x = 85 - y.
Debbie worked five hours more than juan during the week, hence:
y = x + 5.
Since x = 85 - y, we replace in the expression:
y = 85 - y + 5.
2y = 90.
y = 45.
Debbie worked 45 hours during the week.
More can be learned about a system of equations at brainly.com/question/24342899
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0.60-0.40=0.20
3.80-3.20=0.60
0.60 divided by 0.20=3
Hence, each student got 3 toppings each.
hope it helps:))
Answer:
It will take 4.84 hours for the drug to decay to 93% of the original dosage.
Step-by-step explanation:
We are given that the half-life of a certain tranquilizer in the bloodstream is 47 hours.
The given exponential model is:
Now, we know that A becomes half after 47 hours which means that;

Using this in the above equation we get;
where t = 47 hours


Taking log on both sides we get;



k = -0.015
Now, the time it will take for the drug to decay to 93% of the original dosage is given by;
where t is the required time
Taking log on both sides we get;



t = 4.84 hours
Hence, it will take 4.84 hours for the drug to decay to 93% of the original dosage.
Answer: 96°
Step-by-step explanation:
If a triangle is being drawn, Angle A and C will be the two remote interior angles in the triangle. The sum of the two interior angles has to equal to the exterior angle.
Set them equal each other and solve for x.
(3x-6) + (6x +12) = 12x - 24 Combine like terms
9x + 6 = 12x - 24 Subtract 6 from both sides
- 6 -6
9x = 12x - 30 Subtract 12x from both sides
-12x -12x
-3x = -30 Divide both sides by -3
x = 10
Now since x is 10 degrees we will need to input the value into in for x in the exterior angle expression and break it down.
Exterior : 12(10) - 24
120 - 24 = 96
This means the measure of the exterior angle at vertex B is 96 degrees.