-6 +8x = -38
8x = -32
x = -4
I did this by first adding 6 to both sides to get 8x by itself. I then divided by 8 to get x by itself. I remembered to use the - - + rule (Two negatives make a positive, a positive and a negative make a negative). Hope this helps!
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: v = 45
Step-by-step explanation:
Answer:
0.7 seconds
Step-by-step explanation:
You have to subtract both lap times, but before doing so you need to know what 2/5 is in decimal form. To do so, you must do 2 divided by 5, getting 0.4 seconds as it's a fraction converting to decimal. This means Fam swam 29.4 seconds, which instead of 2/5, you have 0.4 as your converted answer, so you would substitute it after 29. Then, you would do 29.40 subtracted by 28.7 and get 0.7 seconds as your answer to find out the difference of their swim times.
Answer:
see the explanation
Step-by-step explanation:
we know that
The<u><em> Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Applying the triangle inequality theorem
Let
c ----> the measure of the length of the third side
1) 

2) 

so
The solution for the length of the third side is the interval (2,22)
All real numbers greater than 2 centimeters and less than 22 centimeters