Answer:
The inequalities that must be satisfied is


Step-by-step explanation:
Let the number of Heineken bottles be x
Let the number of monster drink bottles be y
Her crate cannot hold more than 32, This situation can be represented as

That is
------------------------(1)
Cost of one Heineken bottles = $800
Cost of one monster drink bottles = $250
then
x
------------------(2)
Step-by-step explanation:
First step:
Distance = 300km
Speed = 60km/hr
We know,
Using Speed = Distance ÷ Time
Time = Distance ÷ Speed
we have Total Time = 300÷60
Total Time = 5hr
Again,
Distance = 200km. (Time = 5hr,
Speed =? Distance = 200)
Speed = Distance÷ Time
= 200÷5
= 40km/hr
Answer:

Step-by-step explanation:
The polynomial
can be factored exactly the same as the polynomial
. Here it factors into two numbers which multiply to 16 but add to 8. These factors are 8 and 2. So it factors into the expression (x+8)(x+2).
For the polynomial
it factors into the same factors except x ^n is used instead. The factors are 
Using it's concept, it is found that the sample mean package weight for Thursday is of 19 ounces.
<h3>What is the mean of a data-set?</h3>
The mean of a data-set is given by the <u>sum of the observations divided by the number of observations</u>.
For Thursday, the package weights in ounces are given by: {18, 19, 20, 19}.
Hence, the sample mean in ounces is of:
M = (18 + 19 + 20 + 19)/4 = 19.
More can be learned about the mean concept at brainly.com/question/24628525
Answer:
Only (-2, 9) is the solution of the equation.
Hence, option 'b' is correct.
Step-by-step explanation:
Given the equation
y = -2x+ 5
<u>Checking the ordered pair (2, -9)</u>
substituting x = 2 and y = -9 in the equation
y = -2x + 5
-9 = -2(2) + 5
-9 = -4 + 5
-9 = 1
FALSE!
L.H.S ≠ R.H.S
Thus, the ordered pair (2, -9) is NOT a solution of the equation.
<u>Checking the ordered pair (-2, 9)</u>
substituting x = -2 and y = 9 in the equation
y = -2x + 5
9 = -2(-2) + 5
9 = 4 + 5
9 = 9
TRUE!
L.H.S = R.H.S
Thus, the ordered pair (-2, 9) is a solution of the equation.
Conclusion:
Only (-2, 9) is the solution of the equation.
Hence, option 'b' is correct.