Answer:


Step-by-step explanation:
Let A represent number of adult t-shirts and C represent number of child t-shirts.
We have been given that adults t-shirt are $5 child t-shirt are $2.50, so cost of A adult t-shirts would be
and cost of C child t-shirts would be
.
We have been given that Jerome need at least 200 adults t-shirt. This means the number of adult t-shirts should be greater than on equal to 200.
We can represent this information in an inequality as:

We are also told that Jerome will spend no more than $1500 on t-shirt. This means that cost of A adult t-shirts and C child t-shirts should be less than or equal to 1500.
We can represent this information in an inequality as:

Therefore, our required system of inequalities would be:


Answer:
<em>500πx³y³z³ </em>
Step-by-step explanation:
Volume of a sphere = 4πr³
r is the radius of the sphere
Given
Diameter of the sphere = 10xyz mm
Radius = diameter/2
Radius = 10xyz/2
Radius = 5xyz
Substitute the radius into the formula
Volume of the sphere = 4π(5xyz)³
Volume of the sphere = = 4π(125)x³y³z³
Volume of the sphere = 500πx³y³z³
<em>Hence the volume of the sphere is 500πx³y³z³ mm³</em>
That means:
1) you cannot factorize it, or
2) the binomial is not the right one to be the quotient or
3) the roots of the binomial are not the roots of the polynomial
Answer:
See attachment
Step-by-step explanation:
The given inequality is 
By the definition of the absolute value function, we obtain the compound inequality.

When we simplify we get:

The graph for the solution set is shown in the attachment