Answer:
the amount paid in total is $1,100
Step-by-step explanation:
The computation of the amount paid in total is shown below:
= Total persons × cost of each one ticket
= (12 boys + 18 girls + 14 boys) × $25
= 44 persons × $25
= $1,100
Hence, the amount paid in total is $1,100
Answer:
Step-by-step explanation:
The total surface area simply consists of three rectangles and two triangles. To find the total surface of the figure, find the sum of each of the shapes that make up the outside of the figure:
2 triangles: 2 x 1/2 x 6 x 8 = 48 ft^2
First rectangle: 6 x 12 = 72 ft^2
Second rectangle: 8 x 12 = 96 ft^2
Third rectangle: 10 x 12 = 120 ft^2
*Note: One of the dimensions is in yards, so make sure to convert it to ft (1 yd = 3ft)
Thus, the total surface area of the figure is 48+72+96+120 = 336 ft^2.
(3x − 5) − (4x + 6)
Pretend that there is a 1 in front of the first bracket.
Pretend that there is a -1 in front of the second bracket.
Multiply the first bracket by 1
(1)(3x)=3x, (1)(-5)=-5
Multiply the second bracket by -1
(-1)(4)=-4, (-1)(6)=-6
3x-5-4x-6
3x-4x-5-6 ( combine like terms)
-x-11
Answer: -x-11 or -11-x
Answer:
and 
Step-by-step explanation:
We have the following system of equations:
and 
To solve the problem, we need to equal the two equations:
⇒ 
⇒ 
⇒ 
So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are 
and 
.
Then, the factorized form of the polynomial is: 
.
The, the solution to the system of equations is: and .
Answer: -1
Step-by-step explanation:
Find the Slope
(0, 2) , (1, 1)
Slope is equal to the change in y over the change in x, or rise over run.
change in y
m = _________
change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called r ise).
y2 − y1
m =
_____
x2 − x1
Substitute in the values of x and y into the equation to find the s lope.
1 − (2)
m =
_____
1 − (0)
Simplify.
Simplify the numerator.
−1
m =
____
1 − (0)
Simplify the denominator.
−1
m =
___
1
Divide −1 by 1.
m = −1
