The total number of gifts = x+y.
The inequality is:

Key chains cost $1, Magnets $0.50
Total Cost = x + 0.5y
Inequality is:

Without graphing you can solve system by using substitution:

This is one solution where the maximum x value is given.
So the most keychains that can be purchased is 16. However, because magnets are cheaper, more can be purchased as long as cost remains under 20.
If you solve both inequalities for "y", you get the upper and lower bounds for how many magnets can be purchased given a quantity of keychains.

This is complete solution which gives all possible combinations.
(Graph is Attached)
Answer:
<u><em>A</em></u>
Step-by-step explanation:
<u>a)</u>
<u></u>
<u></u>
<u>8(9) / 9 = 8 x 7 = 56</u>
b)

2(9) * 3 - 12
18 * 3 = 54 - 12 = 42
c)

4(9) - 18 + 12
36 - 18 = 18 + 12 = 30
d)

21 + 24 = 45
Answer:

Step-by-step explanation:
It is given that, the radius of a circle is 8 inches and we are to find the circumference of the circle.

To find the circumference of the circle we must know this formula first :

Where
- r is the radius of the circle.
- We'll take the value of π as 3.14
Now substituting the values in the formula :



Therefore,
- The circumference of the circle is 50.24 inches
"An angle that forms a linear pair with one of the interior angle the triangle" is the best definition of an exterior angle of a triangle.
<u>Option: C</u>
<u>Explanation:</u>
When to the sum of the inward angles opposite outer angle of a triangle the sum of the inward angles opposite is equivalent thus understood as exterior angle of a triangle.
The Triangle outer angle theorem for more about is if at each vertex the equivalent angle is drawn, the outer angles always add up to 360°. In reality, this is valid for any convex polygon, not just triangles.
In the most easiest pattern , since any angle of triangle equivalent is 60′, the outer angle would be 120′. Therefore all exterior angles sum is:
120 + 120 + 120 = 360°.
Step-by-step explanation:
Given
Area of rectangle (A) = 243.9 m²
Length (L) = 15 m
first calculating the breadth (b)
We know
L * b = A
15 * b = 243.9
b = 243.9/ 15
b = 16.26 m
Now
Perimeter (p)
= 2 ( L + b)
= 2 ( 15 + 16.29)
= 62.58 m
Hope it will help