Answer:
The third number = 33
Step-by-step explanation:
First number = x
Second number = x + 7
Third number = 3x
x + x + 7 + 3x = 62 Combine like terms
5x + 7 = 62 Subtract 7 from both sides
5x = 62 - 7
5x = 55 Divide by 5
5x/5 = 55/5
x = 11
Answer:
8 weeks
Step-by-step explanation:
p = 2w
p = total pieces = 16
then putting value in p = 2w
16 = 2w
divide by 2 on both side we get
16/2 = 2w/2
8 = w
where w is total weeks i.e 8
Answer and explanation:
Given : A rectangular frame of uniform depth for a shadow box is to be made from a 36-in. piece of wood.
To find :
a) Write a function to represent the display area in terms of x.
The perimeter of the box is 36 inches.
Let x and y be the length and width of the box.
So,
....(1)
The area of the box is
Substitute y from (1),
The function in terms of x,
b. What dimensions should be used to maximize the display area?
As A is a quadratic function with a negative leading coefficient.
The vertex is the maximum point on the function.
So, the x-coordinate of the vertex is the value of x that will maximize the area.
Here, a=-1 and b=18
Substitute in (1),
The dimension 9 in. by 9 in. should be used maximize the display area.
c) What is the maximum area?
Substitute the value of x in the area,
The maximum area is 81 square inches.
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