Answer:
x = price of balcony tickets = $7
y = price of orchestra tickets = $21
Step-by-step explanation:
Let
x = price of balcony tickets
y = price of orchestra tickets
y = 3x (1)
148y + 76x = 3,640 (2)
Substitute y = 3x into (2)
148y + 76x = 3,640 (2)
148(3x) + 76x = 3,640
444x + 76x = 3,640
520x = 3,640
x = 3,640/520
x = 7
Substitute x = 7 into (1)
y = 3x (1)
y = 3(7)
y = 21
x = price of balcony tickets = $7
y = price of orchestra tickets = $21
Answer: See the description below.
The residuals are the difference between the actual and predicted values. Just subtract those values and plot the point.
Your points will be:
(2, 0)
(3, 4)
(4, -5)
(6, -1)
(7, 2)
Answer:

Step-by-step explanation:
We want to find the distance between two points, so the following formula is used.

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.
We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:
Substitute the values into the formula.

Solve the parentheses.
- -2 -3 = -5
- 2--1 = 2+ 1 = 3

Solve the exponents.
- (-5)²= -5*-5= 25
- (3)²= 3*3=9

Add.

This radical cannot be simplified, so the distance between the two points is <u>√34</u> and <u>choice 3 </u> is correct.
1 basket is between 9 and 10 minutes .
<u>Step-by-step explanation:</u>
Here we have , John kept track of how many baskets were made in a basketball game. After 4 minutes, 5 baskets were made. We need to find How many baskets were made between 9 and 10 minutes . Let's find out:
In order to calculate baskets between 9 min and 10 min we will find baskets at 10 min and at at 9 min , will subtract than !
Baskets at 10 min :
At 4 min we have 5 baskets so , in 10 min
⇒ 
⇒ 
⇒ 
Baskets at 9 min :
At 4 min we have 5 baskets so , in 9 min
⇒ 
⇒ 
⇒ 
So , Baskets between 10 & 9 min is
, which on rounding off gives 1 . Therefore , 1 basket is between 9 and 10 minutes .
Answer:
= 4a + 3c + 13
Step-by-step explanation:
(9+4a)+(4+3c)
= 9 + 4a + 4 + 3c
= 4a + 3c + 13