Answer:
The system of inequalities is x ≥ 3y and x + y ≤ 10
The graph attached down
Step-by-step explanation:
* <em>Lets explain how to write the inequalities for this problem</em>
- Assume that x represents the quantity of regular coffee and
y represents the quantity of the decaffeinated coffee
- For a community breakfast there should be at least three times as
much regular coffee as decaffeinated coffee
- At least means greater than or equal
∵ x represents regular coffee
∵ y represents decaffeinated coffee
∵ x is at least three times as much as y
∴ x ≥ y ⇒ (1)
- A total of ten gallons is sufficient for the breakfast
- That means the quantities x and y shouldn't be more than 10
- Not more than means smaller than or equal
∵ The total quantity is 10 gallons
∴ x + y ≤ 10 ⇒ (2)
∴ The system of inequalities are
x ≥ 3y and x + y ≤ 10
* Lets graph (1) and (2)
- The red part for x ≥ 3y
- The blue part for x + y ≤ 10
Answer:
Step-by-step explanation:
<u>Similar Triangles</u>
Lines ST and QR are parallel. Thus, angles S and Q are congruent, and angles T and R are congruent.
Considering the triangle PQR, the sum of its internal angles must be 180°:
Substituting the known values:
Solving for R:
Angles S and Q are congruent, thus
Angles T and R are congruent, thus
Summarizing:
Step-by-step explanation:
As we have to use the number 0-6 once to make 2 equivalent ratios.
so lets solve the problem.
Determining first equivalent ratio
as
and
so
Therefore, first equivalent ratio
Determining second equivalent ratio
as
and
Therefore, second equivalent ratio