Answer:
x = -1
Step-by-step explanation:
5 less than a number is equivalent to 1 more than three times the number
number = x
x - 5 = 3x + 1
now im going to get the numbers and variable on different sides
x - 5 + 5 = x
3x + 1 - 3x = 1
x + 3x = 4x
1 - 5 = -4
4x = -4
lastly im going to divide each side by 4
4x / 4 = x
-4 / 4 = -1
x = -1
The T-shirt launcher can launch 315 shirts per hour.
Answer:
B)
x units
Step-by-step explanation:
Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:
Perimeter of a rectangle = 2 (l + b)
where: l is the length = 12 units and b is the breadth = 8 units. So that:
Perimeter of KMPT = 2 (12 + 8)
= 40 units
Dilating KMPT by a scale factor of
would create K'M'P'T' of dimensions;
× 12 units by
× 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.
Perimeter of K'M'P'T' = 2 (l + b)
= 2(9 + 6)
= 30 units
Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be
× perimeter of KMPT.
Therefore, if the perimeter of KMPT is x units, then;
perimeter of K'M'P'T' =
* x units
=
x units
The factors of 100 are 1, 2, 4, 5, 10, 20, 25 50 and 100
the factors of 73 are 1 and 73. 73 os a prime number
Answer:
Step-by-step explanation:
Alright, lets get started.
This is the combination of three figures semi circle, rectangle and triangle.
We will find the area of each figure and will add them.
The radius of the circle is half of the diameter, so radius is 6.
Area of semi circle will be : 
Area of semi circle is : 56.52
Area of rectangle is: 
So, area of rectangle is:
Area of triangle is : 
So, area of triangle is :
Adding all these three areas, the area of above figure will be:
[tex]Area = 56.52+480+30
Hence Area is 566.52............... Answer