Answer:
There are 150 blue marbles in Alex's bag.
Step-by-step explanation:
Let ,
,
be the quantities of red, blue and yellow marbles, respectively. From statement we derive three rational equations for initial and final ratios:
Initial ratio
(1)
(2)
Final ratio
(3)
After some algebraic handling we get the following system of linear equations:
(1)
(2)
(3)
The solution of the system of linear equations is:
,
,
There are 150 blue marbles in Alex's bag.
Answer:
Third option.
Step-by-step explanation:
For this exercise you need to remember one of the properties for exponents.
There is a property called the "Negative property of exponents" which states the following:
Where
As you can observe, is the reciprocal of
In this case you have the following expression given in the exercise:
Observe the expression. As you can notice, the base "n" has a negative exponent, which is -6.
Therefore, applying the Negative property of exponents explained at the beginning of this explanation, you can simplify the expression.
Then, the simplified form of is the one shown below:
<em><u>Question:</u></em>
Which of the following is another way to express the equation 8 - (-d) = 43?
A.8-d=43
B.-d+8=43
C.-8+d=43
D.8+d=43
<em><u>Answer:</u></em>
8 + d = 43 is another way to express the given equation
<em><u>Solution:</u></em>
Consider the given equation
We have to find the another way to express the above equation
We know that,
We we multiply negative sign number by another negative sign number, then the result is positive sign number
Therefore from given,
<em><u>Thus the given equation becomes,</u></em>
8 + d = 43
Thus option D is correct
