Answer: 
Step-by-step explanation:
In order to solve this exercise it is important to remember the multiplication of signs. Notice that:

In this case you have the following expression given in the exercise:

Where the variable is "j".
When you multiply signs, you get:

Now you need to identify that like terms and then you need to add them (or combine them). So, applying this procedure you get that the simplified form of the expression is the shown below:

As you can observe, you get a 2nd degree binomial.
Let x: the number of restaurants gift cards, and y: numbers of movie theaters gift card
50x+20y=450
x+y=15, so x=15-y
50(15-y)+20y=450
750-50y+20y=450
y=10
x=5.
As a result, Mr. Thompson buys 10 movie theaters give cards, and 5 restaurants gift cards. Hope it help!
Answer:
3/4 or 0.75
Step-by-step explanation:
Answer:
m∠C = 44°
Step-by-step explanation:
In ΔCDE,
m∠C=(4x−16) ∘
m∠D=(6x−1) ∘
m∠E=(4x−13) ∘ .
The sum of angles in a triangle = 180°
Step 1
We solve for x
m∠C + m∠D + m∠E
(4x−16)° + (6x−1)° + (4x−13)° = 180°
4x - 16 + 6x - 1 + 4x - 13 = 180°
4x + 6x + 4x -16 - 1 - 13 = 180°
14x - 30 = 180°
14x = 180+ 30
14x = 210
x = 210/14
x = 15
Step 2
Find m∠C
m∠C = (4x−16)°
m∠C = (4 × 15 - 16)°
m∠C = (60 - 16)°
m∠C = 44°
Answer:
median=59
Step-by-step explanation:
big brains for days