Answer:
k = 2
Step-by-step explanation:
(-2,1) = (x,y) So you substitute -2 and 1 for x and y
1 = -(-2) - 1 1 = 1/2 × -2 + k
1/2 × -2 = -1 -1 + 2 = 1
k = 2 1 = 1/2 × -2 + 2
I hope this helps
Answer:
the cost of one hot chocolate is $2.
Step-by-step explanation:
Let x be the hot chocolate cost and y be the newspaper cost.
Given:
A newspaper and three hot chocolates cost $7
So, the equation is
--------(1)
Two newspapers and two hot chocolates cost $6
So, the second equation is.
---------(2)
Find one hot chocolate cost?
Solve equation 1 for y.


Put y value in equation 2





negative sign is cancelled both side.


Therefore, the cost of one hot chocolate is $2.
Answer: $3,400
Step-by-step explanation:
There are 400 seats in the auditorium which means that there are 400 tickets to be sold.
85% of these tickets are sold. The number of tickets sold is:
= 85% * 400
= 340 tickets were sold.
Each ticket sells for a total of $10.
The amount of money made from ticket sales is therefore:
= No. of tickets sold * price of ticket
= 340 * 10
= $3,400
Answer:
Angle DCA = Angle CAB. (Alternate Interior Angle)
Angle DCA = 68°
Angles(DCA + ACB + BCE) = 180°. (Linear Pair)
Angle ACB + 68° + 33° = 180°
Angle ACB = 79°
Therefore,
Angle ABC = 33°. (Alternate Interior Angle)
Answer:
For 5/11 shade in the third bubble (0.45 repeating)