Answer:
x over 10
Step-by-step explanation:
y is one-tenth (/10) of x
y = x / 10
x over 10 is your answer
Hope this helps!
13/52 is the ratio of hearts to all cards
That reduces to a 1/4 ratio
or a 25% chance of drawing a heart
(1) 3x+2y=12
(2) -4x+6y=24
Solving the system of equations using the method of substitution:
Isolating y in the first equation:
(1) 3x+2y=12→3x+2y-3x=12-3x→2y=12-3x→2y/2=(12-3x)/2→y=(12-3x)/2
Replacing "y" by (12-3x)/2 in the second equation:
(2) -4x+6y=24
y=(12-3x)/2→-4x+6[(12-3x)/2]=24
Solving for x:
-4x+3(12-3x)=24
-4x+36-9x=24
-13x+36=24
-13x+36-36=24-36
-13x=-12
-13x/(-13)=-12/(-13)
x=12/13
Replacing "x" by 12/13 in y=(12-3x)/2
x=12/13→y=[12-3(12/13)]/2
y=(12-36/13)/2
y={[(13)(12)-36]/13}/2
y=[(156-36)/13]/2
y=(120/13)/2
y=(120/13)(1/2)
y=60/13
x=12/13; y=60/13
-x+2y=-12/13+2(60/13)
-x+2y=-12/13+120/13
-x+2y=(-12+120)/13
-x+2y=108/13
Answer: The value of -x+2y is 108/13
Answer:
Cesar will be doing 15 research reports during the school year.
Step-by-step explanation:
Given:
Number of research report completed = 3
Percentage of the report completed for school year = 20%
We need to find total number of research report completed during school year.
Solution:
Let the total number of research report completed during school year be 'x'.
Now we can say that;
Number of research report completed is equal to Percentage of the report completed for school year multiplied by total number of research report completed during school year and then divided by 100.
framing in equation form we get;
Dividing both side by 0.2 we get;
Hence Cesar will be doing 15 research reports during the school year.
Answer:
The 2 numbers are 24 and 20
Step-by-step explanation:
x+y = 44
x-y =4
Use elimination to solve this system
x+y = 44
x-y =4
-------------
2x = 48
Divide by 2
2x/2 = 48/2
x = 24
Now we need to find y
x+y =44
24+y =44
Subtract 24 from each side
24-24+y = 44-24
y =20
