Number of pencils x
number of pens y
3x + y = 10
x ≤ y
Draw the line 3x + y = 10 .[it passes by (0,10) and (-10/3,0)
Draw the line y=x [it passes by (0,0), (1,1), (2,2) etc]
Then the solution is the points with integer x and y, that belong to the segment of the line 3x +y = 10 between the x-axis and the line y=x. Those points are (1,7) , (2,4), (3, 1).
Answer:
Correct option is A
Since it is an equilateral triangle, the lengths of the sides are equal
So, x+3 y=3 x+2 y−2=4 x+
2
1
y+1
x+3 y=3 x+2 y−2
y=2 x−2
2 x−y=2 ...(1)
Also, 4 x+
2
1
y+1=x+3 y
8 x+y+2=2 x+6 y
6 x+2=5 y
6 x−5 y=−2 ...(2)
Multiplying e q(1) by 5 we get,
10 x−5 y=10 ...(3)
Subtracting e q(2) from e q(3) we get,
4 x=12⇒x=3
y=2 x−2=4
The length of one side of equilateral triangle = x+3 y =3+3(4)=15 units
Answer: Negative 20.75
Step-by-step explanation:
The question simply wants us to convert the temperature shown by the thermometer to decimal. We should note that the temperature shown is Negative 20 and three-fourths degrees.
First, we convert 3/4 to decimal. This will be:
= 3/4 = 0.75.
Therefore, -20 3/4 = -20.75