Given problem;
Inequality equation;
< 6
Before we solve, let us first translate this problem.
It simply states that for what value(s) of x will the expression be less than 6.
To find this value, we can simply carry out the normal mathematical simplification.
Simply multiply both sides by 16 to reduce the fraction;
16 x () < 6 x 16
On the left hand side, 16 will cancel out;
x < 96
Any value for which x is less than 96 will make the solution of this problem less than 6.
For example, 95;
= 5.93
This value is less than 6
Answer:
Step-by-step explanation:
Given
Direct variation implies that:
Where k is the constant of variation.
Required
Find y when 
Make k the subject
For:
For:
becomes
Substitute
Make y the subject
Let
be the number of strawberry cupcakes, and
the number of chocolate cupcakes.
From our problem we know that the total number of cupcakes is 180, so
. We also know that the number of chocolate cupcakes is eighteen more than twice the number of strawberry cupcakes, so
, or solving for
:
.
Know we have our system of equations:
We can conclude that the correct answer is <span>
B. c + s = 180 c = 2s + 18.
Lets solve our equations to find how many cupcakes of each they have:
from our second equation we know that </span>
; lets replace that value in our first equation to find the number of strawberry cupcakes:
<span>Now that we know the number of strawberry cupcakes, lets replace that value in our second equation to find the number of chocolate cupcakes:
</span>
As a bonus, we can conclude that the <span>math club have 126 chocolate cupcakes and 54 strawberry cupcakes. </span>
An operational definition can both define and measure the hypothetical construct. The hypothetical construct is also called psychological construct is an explanatory variable which cannot be directly observed. It is also a tool to understand someone’s behavior. For example measuring you friend happiness.
