y= -947/8
Just isolate the variables, even though this is a long, painstaking, agonizing process
:)
Answer:
19y - 34x = 376
Step-by-step explanation:
We are to write the linear equation of a line passing through the points
(-20, -16), (-1, 18)
Using the points slope form of the equation expressed as;
y-y0 = m(x-x0)
m is the slope
(x0,y0) is any point on the line
m = y2-y1/x2-x1
m = 18-(-16)/-1-(-20)
m = 18+16/-1+20
m = 34/19
Substitute the slope m =34/19 and the point (-1, 18) into the expression given
y- 18 =34/19(x-(-1))
19(y-18) = 34(x+1)
19y - 342 = 34x+34
19y-34x = 34+342
19y - 34x = 376
Hence the required equation is 19y - 34x = 376
Well if the probability of getting a tail is 0.31 then the probability of getting a head must be 0.69 because 0.31 is much like 31% and the last 0.69 makes 69% resulting in the total 100% chance when combining the outcome chances seeing as a coin only has 2 sides. (Assuming we are speaking of an U.S. coin here) <span />
Answer: The cost of each pound of jellybean is $2.5
The cost for each pound of trail mix is $1.5
Step-by-step explanation:
Let the cost for each pound of jellybeans be x.
Let the cost of each pound of trail mix be y.
Based on the information given, we can form an equation which will be:
For 2 pounds of jellybeans and 12 pounds of trail mix, the total cost is $23. This will be:
2x + 12y = 23 ...... i
For 5 pounds of jellybeans and 3 pounds of trail mix, the total cost is $17. This will be:
5x + 3y = 17...... ii
2x + 12y = 23 ...... i
5x + 3y = 17...... ii
Multiply equation i by 5
Multiply equation ii by 2
10x + 60y = 115 ...... iii
10x + 6y = 34 ..... iv
Subtract iv from iii
54y = 81
y = 81/54
y = 1.5
The cost for each pound of trail mix is $1.5
From equation i
2x + 12y = 23
2x + 12(1.5) = 23
2x + 18 = 23
2x = 23 - 18
2x = 5
x = 5/2 = 2.5
The cost of each pound of jellybean is $2.5
Yes. Rational numbers are numbers that never end. 2.75 ends at the five. Therefore it is rational!