Answer:The system of equations to describe the situation are
c + y = 8
6c + 3y = 36
Step-by-step explanation:
Let c represent the number of shirts.
Let y represent the number of caps.
Eight friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. This means that
c + y = 8 - - - - - - - - - - -1
They want to spend exactly $36 on the shirts and caps. Shirts cost $6 each and caps cost $3 each. This means that
6c + 3y = 36 - - - - - - - - - - 2
Answer:
The rate of return is 14%
Step-by-step explanation:
The rate of return can be determined by,
RR =
x 100%
where:
RR is the rate of return
is the final amount = $690 - $6 = $684
is the initial amount = $15 x 40 = $ 600
So that,
RR =
x 100%
= 0.14 x 100%
= 14%
Therefore, the rate of return is 14%.
Answer:
SAS theorem
Step-by-step explanation:
If
and m∠ECD = m∠BCA, then the triangles are similar by the SAS theorem.

So,
and m∠ECD = m∠BCA because vertical angles are congruent
Therefore ΔECD is similar to ΔBCA by SAS theorem
Answer:
Input
Independent variable
Step-by-step explanation:
we know that
<u>Independent variables</u>, are the values that can be changed or controlled in a given model or equation
<u>Dependent variables</u>, are the values that result from the independent variables
we have the function

In this problem
This is a proportional relationship between the variables d and t
The function d(t) represent the dependent variable or the output
The variable t represent the independent variable or input