Answer:
3 : 4 = 12 : 6
2 : 5 = 30 : 75
7 : 9 = 14 : 18
8 : 3 = 64 : 24
Step-by-step explanation:
3 : 4 = 12 : ?
3/4 = 12/?
3 x ? = 12 x 4
3 x ? = 48
? = 48 ÷ 3 = 16
2 : 5 = 30 : ?
2/5 = 30/?
2 x ? = 30 x 5
2 x ? = 150
? = 150 ÷ 2
? = 75
7 : 9 = ? : 18
7/9 = ?/18
7 x 18 = ? x 9
126 = ? x 9
? = 126 ÷ 9
? = 14
8 : 3 = 64 : ?
8/3 = 64/?
8 x ? = 64 x 3
8 x ? = 192
? = 192 ÷ 8
? = 24
The given equations are y= 6x^2+1 and y=x^2+4
Both the equations equal y so we can make them equal
6x^2+1=x^2+4
To bring x term on one side we subtract x^2 both sides
6x^2-x^2+1=4
5x^2+1=4
To isolate x term we subtract 1 both sides
5x^2=4-1
5x^2=3
Dividing by 5 both sides
X^2=3/5
Taking root of both sides we have:
X=±√⅗
Substituting x value to find y
When x=+√⅗=0.7745
Y= 6x^2+1
Y=6(3/5)+1
Y= 18/5+1
Y=23/5 =4.6
When x= -√⅗=-0.7745
Y= 6(3/5)+1
Y=23/5=4.6
Point of intersections are ( 0.7745,4.6) and (-0.7745,4.6)
Answer:
The correct answer is 6 jars can be used
Step-by-step explanation:
According to the given scenario, the calculation of the number of jars needed is shown below:
The 1 1 ÷ 2 liters means = 3 ÷ 2 liters
And, the paint is divided into 1 ÷4 liter jars
So, the number of jars needed is
= (3 ÷ 2) ÷ ( 1 ÷ 4)
= (4 × 3) ÷ 2
= 6 jars needed
Therefore the number of jars needed is 6 jars
The correct one is bottom left