(8t + 10t) + 55*12t= 300300
18t + 660t = 300300
t = 442.920354
time that number by each ticket type( do not round up). That'll give you each type of tickets sold.
8*442.920354 = 3543.36283
10*442.920354 = 4429.20354
55 *(12*442.920354) = 292327.434
if you add them up = 300300
<span>46 square inches
If you look at the figure in the diagram, you'll see that it consist of two rectangles next to each other. So the area of the entire figure is the sum of the area of both rectangles. The leftmost rectangle is 5 inches by 6 inches for an area of 30 square inches. The right triangle is a skinny rectangle that is 8 inches by 2 inches for an area of 16 square inches. And 30 square inches plus 16 square inches equals 46 square inches.
An alternate way of considering the problem is that it's one large rectangle that's (5+8 = 13) inches long and 6 inches tall equaling 78 square inches, minus 2 other rectangles, both of which are 2 inches by 8 inches for an area of 16 square inches. And finally 78 square inches minus 16 square inches minus 16 square inches equals 46 square inches.</span>
Answer:
The equation in standard form is
2
3
x
−
y
=
7
.
Explanation:
The standard form for a linear equation is
A
x
B
y
=C
, where
A
,
B
,
and
C
are numbers, and
x
and
y
are variables.
y
=
2
3
x
−
7
Subtract
2
3
x
from both sides of the equation.
−
2
3
x
+
y
=
−
7
Multiply both sides by
−
1
.
2
3
x
−
y
=
7
A
=
2
3
,
B
=
−
1
,
C
=
7
Answer:
DB = 8
Step-by-step explanation:
Δ ADB and Δ BDC are similar so ratios of corresponding sides are equal, that is
= 
, substitute values
= 
= ( cross- multiply )
DB² = 64 ( take the square root of both sides )
DB = 
= 8
The answer is C. I tried factoring the equation itself, and I got the correct answer but I noticed that it isn’t one of the options. Therefore, the options are partly factored but not completely. I decided to just eliminate each of the multiple choice options. I got C after expanding it. Firstly, we need to distribute the 3 to (x-2). This gives us (3x-6)(x-2). After that, we can use the FOIL method. 3x^2 - 6x -6x + 12 is the same as 3x^2 - 12x + 12.
In case you want to see the fully factored polynomial, I won’t explain the steps since you don’t need it here, but it’s 3(x-2)^2. This is equivalent to 3(x-2)(x-2). That’s the same as C.
