I think that the answer is 51/54.
First you need to find the common denominator of both fractions, 54.
1/9 is 6/54 and 5/6 is 45/54. 45+6=51. And the denominator goes on the bottom,making the answer 51/54.
Hope this helps!
What do you notice about each solution? :
Picture 1 - They never intersect/touch.
Picture 2 - They are intersecting.
Picture 3 - They are on top of each other.
What do you notice about the graphs for each set of equations? :
Picture 1 - The lines are parallel.
Picture 2 - They are intersecting.
Picture 3 - They are on top of each other. (otherwise known as coincident lines).
What do you notice about each set of equations? :
Picture 1 - They have the same slope but different y-intercepts.
Picture 2 - Both the slopes and y-intercepts are different for each equation.
Picture 3 - They have the same slope and same y-intercept.
What generalization can you make? :
Picture 1 - When equations have the same slope but different y-intercepts they will be parallel when graphed.
Picture 2 - When the equations have different slopes and different y-intercepts they will be intersecting.
Picture 3 - When the equations are the same they will be coincident lines when graphed.
Answer: (i) 4x - 40 = 76
(ii) 29 questions
Step-by-step explanation:
Let the total number of questions be x.
Since he received 4 points for every correct answer and he got 10 answers wrong , this means he lost 40 points , the equation thus become
4x - 40 = 76
To find the value of x , add 40 to both sides
4x = 116
divide through by 4
x = 29
Therefore , there are 29 questions on his math test
Answer:
270
Step-by-step explanation:
108 divided by 24 is 4.5. 4.5 is how many gallons per hour. then, 4.5 times 60 equals 270.
$252/$28=9 lawns. $252 is the total money they earned, so divide it by the amount of money they charge per lawn.
