Answer:
(3, - 1 )
Step-by-step explanation:
Given the 2 equations
x - 3y = 6 → (1)
2x + 2y = 4 → (2)
Rearrange (1) expressing x in terms of y by adding 3y to both sides
x = 6 + 3y → (3)
Substitute x = 6 + 3y into (2)
2(6 + 3y) + 2y = 4 ← distribute and simplify left side
12 + 6y + 2y = 4
12 + 8y = 4 ( subtract 12 from both sides )
8y = - 8 ( divide both sides by 8 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = 6 + 3(- 1) = 6 - 3 = 3
Solution is (3, - 1 )
Answer:
Probability that the piece will be filled with fudge is 4/15 = 0.2667
Step-by-step explanation:
In the question, a box of chocolate contains 15 identical looking pieces. These chocolate pieces are filled in the following way: There are
3 caramel
2 cherry cream
2 coconut
4 chocolate whip
4 fudge
So this makes 3+2+2+4+4= 15
As the total number of chocolate pieces are 15
Let E be the event that the chocolate piece is filled with fudge
As we know Probability of an event is
P(E) = number of favorable outcomes / number of possible outcomes
Here the favorable is the number of pieces filled with fudge and number of possible outcomes are 15 as there are 15 types of chocolate pieces. So the probability that the piece selected will be filled with fudge is:
P(E) = 4/15 = 0.2667
Each pencil is .1075 cents
Answer:
13
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
||v|| = 3/4
Theta = 30 degrees
The x component is x = ||v|| cos theta
= 3/4 cos 30 =3/4 * sqrt(3) /2 =3 /8 sqrt(3) =.649519053= .650
The y component is y = ||v|| sin theta
= 3/4 sin 30 =.375
