Answer:
The total cost function of having a party catered is f(p) = 65 + 9.50 p
Step-by-step explanation:
The equipment fee of the caterer = $65
The charge per plate = $9.50
Let, Total number of people invited in the party = p
So, the cost of plates of p people = Number of people x Per plate cost
= p x $9.50
Now, Total Catering Cost = Equipment Fee + Cost of all plates
or, Total cost = $65 + p x $9.50
Hence, the total cost function of having a party catered
is f(p) = 65 + 9.50 p.
Answer: a + 4b -24
Step-by-step explanation:
4 x 1/4a = 1a
4 x b = 4b
4 x -6 = -24
Answer: The correct option is (A) reduction.
Step-by-step explanation: Given that the quadrilateral A'B'C'D' is a dilation of the quadrilateral ABCD.
As shown in the given figure, the lengths of the sides of quadrilateral ABCD are as follows:
AB = 5 units, BC = 4 units, CD = 10 units and DA = 6 units.
And, the lengths of the sides of quadrilateral A'B'C'D' are as follows:

We know that the dilation will be an enlargement if the scale factor is greater than 1 and it will be a reduction if the scale factor is less than 1.
Now, the scale factor is given by

Since the scale factor is less than 1, so the dilation will be a reduction.
Answer:
$28.50
Step-by-step explanation:
21 chicken wings= $39.90
1 chicken wing= 39.90÷21= $1.90
15 chicken wings= 15×1.90= $28.50
Answer:
1 in. is the answer.
Step-by-step explanation:
Solution: A Rectangle ABDE in which DE=4 inches and BD= 6 inches
There are two kinds of rotations
1. one along the Breadth, side having length 6 inches,i.e rotated along line GH, Cylinder Z is created.
Radius of cylinder Z=6/2= 3 inches
2. Second along the Length, Side having length 4 inches,i.e rotated about a line CF, cylinder Y is created.
Radius of cylinder Y= 4/2= 2 inches
Difference in Radii= Radius of cylinder Z - Radius of cylinder Y
= 3 - 2= 1 inches
Diagram shown below of both the cases: