The <em><u>correct answers</u></em> are:
B- x + y ≤ 10
; and D- x ≥ 4
Explanation:
The illusionist needs at least 4 female volunteers. This means he could use 4 or more; this means x, the number of female volunteers, is greater than or equal to 4:
x ≥ 4
The total of number of volunteers needed is up to 10. This means the illusionist can use 10 or fewer people; this means the total is less than or equal to 10.
The number of female volunteers is x and the number of male volunteers is y; together they create the expression x+y. This gives us
x+y ≤ 10
Subtract 76 on both sides:
2401 - 76 = 76 - 2x - 76
2325 = -2x
Divide both sides by -2:
-1162.5 = x
Z = 140
X = 40
Y = 40
Explanation:
Z and the angle given (140 degrees) are vertical angles, and are therefore congruent
We know that x and y are vertical angles, so they are also congruent to each other
You know that together, the angles have to add up to 360
140 + 140 + x + y = 360
Another way of putting it:
360-280 = 80
Now, we have to divide by two since we need to find x AND y
80/2 = 40
Therefore, your answers for x and y are 40
To double check, you can add up the angles and see if they equal 360
140 + 140 + 40 + 40
280 + 80 = 360
A. C = 17h + 15
b. 83 = 17h + 15
-15 - 15 subtract 15 from both sides
68 = 17h
------------
17 divide both sides by 17
4=h
They cleaned the house for 4 hours
c. C = 20x
to do this last part, you would put both equations into the calculator under y=, then look at the table to determine when the price is the same. According to the calculator, the price is the same at 5 hours
Answer:
a) 16.82 mg
b) 24 days
Step-by-step explanation:
Formula for exponential growth is given as:
Where A is the final population
is the initial population
b is the growth factor
c is the time taken for the growth 'b'
t is the amount of time
Here, We are given the following:
= 5 mg
b = 2 (Given because it doubles)
c = 4 days
a) A = ?
Using the formula:
b) Given
A = 320 mg
t = ?
Using the above formula again:
So, the answers are:
a) 16.82 mg
b) 24 days
