Answer:
B) consistent, dependent
Step-by-step explanation:
The given system is
45x - 30y = -90
-12x + 8y = 24
Let us make y the subject in both equations to get:
Top equation
Bottom equation
We can see that both equations are identically the same.
There is going to be infinitely many solutions.
We say the system is consistent and dependent.
The correct choice is B
The difference between the mixed numbers is equal to 5/6.
<h3>How to perform the subtraction between the two mixed numbers?</h3>
A mixed number is a number that is written as a whole number plus an improper fraction, here we want to compute:
(2 + 1/2) - (1 + 2/3)
We can group the whole numbers and the fractions, so we get:
(2 - 1) + (1/2 - 2/3)
Now we can simplify this so we get:
(2 - 1) + (1/2 - 2/3)
= 1 + (3/6 - 4/6) = 1 - 1/6 = 6/6 - 1/6 = 5/6
We conclude that the difference between the mixed numbers is equal to 5/6.
If you want to learn more about mixed numbers:
brainly.com/question/1746829
#SPJ1
Angle ABD=87 degrees
angle ABC+angle CBD= angle ABD
Therefore, 9x-1+6x+58=87
15x+57=87
15x=87-57
15x=30
x=30/15
x=2
Angle ABC= 9x-1
=9(2)-1
=18-1
=17 degrees
Answer:
The number of red circles to be added would be equal to 8 times the original amount of red circles
Step-by-step explanation:
Let
x ----> the number of red circles
y ----> the number of blue circles
Originally
----> equation A
How many more circles would need to be added to make the ratio of red to blue 3:1
Let
n ----> the number of additional red circles
----> equation B
substitute equation A in equation B
solve for n
therefore
The number of red circles to be added would be equal to 8 times the original amount of red circles
Answer:216
Step-by-step explanation:I think, I dont know. Sorry if you get it wrong. :c