The total cost of rice and beans bought by Gabriel is 6b + 4r.
The simplified expression of the final cost is 4b + 3r.
<h3>What is simplification?</h3>
Simplification can be defined as a process of replacing a mathematical expression by the cancellation of common factors, regrouping of terms in the same variable to get the more simple form of the given expression.
Given that
6b + 4r represents the total cost of the rice and beans Gabriel bought.
He returns 2 bags of beans and 1 bag of rice.
This can be written as,

Then, the total number of bags of rice and beans is given as,

When we simplify the above equation, we get,

Hence we can conclude that the expression for rice and beans after the return is (4b+3r).
To know more about simplification, follow the link given below.
brainly.com/question/12616840.
Answer:
Type 2 error
Step-by-step explanation:
H0 : μ = 261
H0 : μ > 261
By failing to reject H0 ; when the it is false. This means accepting null hypothesis when it is actually FALSE. Then a type 2 error has been committed.
This is different from a type 1 error whereby the null hypothesis is rejected when it is actually TRUE.
Hence, by finding no evidence to reject the null hypothesis during statistical testing when the actual windspeed of an F5 tornado during statistical testing is actually greater than 261 mph.
Answer:
K= -3
Step-by-step explanation:
-3k+6=15
-6 -6
-3k=9
/-3 /-3
k=-3
subtract 6 from both sides.
divide each side by -3 to get K alone
-3 is your answer.

Substituting this into the other ODE gives

Since
, it follows that
. The ODE in
has characteristic equation

with roots
, admitting the characteristic solution

From the initial conditions we get



So we have

Take the derivative and multiply it by -1/4 to get the solution for
:

Since, it is given that the pentagon ABCDE is congruent to pentagon FGHIJ.
By being congruent, the corresponding angles and sides are equal.
Therefore,
,
,
,
,
.
By using 
So, 
Therefore, the measure of angle 1 is 100 degrees.
So, Option B is the correct answer.