Answer:
1. 1.5 inches per minute
2. 90 inches per hour
Step-by-step explanation:
speed = 
1. total distance covered = 
+ 
= 
= 
= 4
inches
Total time taken = 
+ 
= 
= 
= 3 minutes
The ants average speed = 
= 1
= 1.5
The ants speed is 1 inches per minute.
2. Since;
60 minutes = 1 hour
3 minutes = x hours
x = 
= 
= 0.05 hours
Speed = 
= 90 inches per hour
The red ants speed is 90 inches per hour.
Answer:
a^2 + b^2 + 2ab - (3xy)^1/3
Step-by-step explanation:
Here we want to make a subtraction
Cube root of the product of x and 3y
x * 3y = 3xy
Cube root of this;
(3xy)^1/3
The sum of a and b is (a + b)
Square of this sum;
(a + b)^2 = a^2 + 2ab + b^2
Now, subtract the cube root
we have;
a^2 + b^2 + 2ab - (3xy)^1/3
The ordered pair that is a solution of the system is (-2, 8).
<h3>Which ordered pair is included in the solution set to the following system?</h3>
Here we have the system of inequalities:
y > x² + 3
y < x² - 3x + 2
To check which points are solutions of the system, we can just evaluate both inequalities in the given points and see if they are true.
For example, for the first point (-2, 8) if we evaluate it in the two inequalities we get:
8 > (-2)² + 3 = 7
8 < (-2)² - 3*(-2) + 2 = 12
As we can see, both inequalities are true. So we conclude that (-2, 8) is the solution.
(if you use any other of the 3 points you will see that at least one of the inequalities becomes false).
If you want to learn more about inequalities:
brainly.com/question/18881247
#SPJ1
Either 1/10 or 10%
Hope this helps!!!
Answer:
<em>Ct = 4075 + 368d</em>
Step-by-step explanation:
<u>Function Models</u>
A company rents out food booths and game booths at the county fair.
For a food booth, the company charges a fixed fee of $175 and a variable fee of $10 per day. If d is the number of days, then the charges for a food booth are:
Cf = 175 + 10d
Similarly, the company charges $50 plus $9 per day for a game booth, thus the total charges are:
Cg = 50 + 9d
If all the booths are rented for the entire time, the total amount the company is paid for 17 food booths and 22 game booths is:
Ct = 17Cf + 22Cg
Substituting:
Ct = 17(175 + 10d) + 22(50 + 9d)
Operating:
Ct = 2975 + 170d + 1100 + 198d
Simplifying:
Ct = 4075 + 368d
