$123 = ($3b + $8.50c)
b + c = 30
b = 24 birds ($72)
c = 6 cats ($51)
51+72=123
There were 24 birds at the shelter on Tuesday.
Answer:
Scalene triangle
Step-by-step explanation:
In this question, we are asked to determine what type of triangle will be formed given the length of the pieces which was used to form the triangle.
A triangle is one of the simplest shape in geometry. In fact it is one of the basic shapes that we have in geometry. It is a 3 sided polygon that contains 3 different edges or tips and 3 vertices.
According to the values in the question, we can see that the lengths of the pieces given are different. Now what does this mean for the triangle formed?
The type of triangle formed here would be a scalene triangle. A scalene triangle is a type of triangle in which all of its 3 sides have different lengths. Consequentially, the angles formed by these three sides also are different.
Answer:
Depth = 3.3 inches
Step-by-step explanation:
Given that the shape of the satellite looks like a parabola
The equation of parabola is given as follows

Where
a= 13
Therefore


Lets take (13 , y) is a
Now by putting the values in the above equation we get


y=3.25 in
Therefore the depth of the satellite at the nearest integer will be 3.3 inches.
Depth = 3.3 inches
Answer:
The UPC is not valid..
Step-by-step explanation:
The Universal Price Code is represented in the form of bars which is scanned when we purchase something.
The last digit of the UPC is the check digit.
Give UPC = 375407370090
To check whether the UPC is valid or not.
Step 1:
Add the digits at odd positions.
3 + 5 + 0 +3 + 0 + 9 = 20
Step 2:
Multiply the number obtained in step 1 by 3
20*3 = 60
Step 3:
The digits at even positions have to be added. The last digit has to be ignored as it is a check digit.
7 + 4 + 7 +7 +0 = 25
Step 4:
Add the numbers obtained in Step 2 and step 3
60 + 25 = 85
Step 5:
The number obtained in step 5 is subtracted from the next multiple of 10.
In the above case,
85 will be subtracted from 90.
90 - 85 = 5
For a valid UPC, the answer to step 5 is equal to the last digit of UPC.
In the above case, the answer is 5 which is not equal to zero.
So, the UPC is not Valid.