With this information we can set up 2 equations:
x + y = 312 (# of tickets sold for adults + # of tickets sold to adults = 312)
12x + 5y = 2204 ( # of tickets sold for adults times $12 + # of tickets sold to adults times $5 = $2204)
Where x is how many tickets were sold to adults and y how many tickets were sold to children
Now we can solve this system of equations by substitution:
isolate y in the first equation to find its value and plug it in the second equation
x + y = 312
isolate y by subtracting x from both sides:
x - x + y = 312
y = 312 - x
Apply y = 312 - x to the second equation
12x + 5y = 2204
12x + 5( 312 - x) = 2204
12x + 1560 - 5x = 2204
7x + 1560 = 2204
Subtract 1560 from both sides to isolate x
7x + 1560 - 1560 = 2204 - 1560
7x = 644
Divide both sides by 7
7/7x = 644/7
x = 92
Now plugin 92 for x in the first equation to find the value of y
x + y = 312
92 + y = 312
subtract 92 from both sides
92 - 92 + y = 312 - 92
y = 220
x = 92, y = 220
92 tickets were sold to adults and 220 tickets were sold to children
Hope it helps :)
Branliest would be appreciated
7. Factor. (x - 2)(4x + 5) = 0 The zeroes are 2 and -5/4. The answer is C.
8. Vertex form is: f (x) = a(x - h)^2<span> + k and (h, k) is the vertex.
So plug in. f(x)=a(x+1)^2-10
Plug in x and y to find k.
2 = a(1+1)^2-10
2=a(2)^2-10
2=4a-10
4a=12
a=3
f(x)=3(x+1)^2-10
H is the answer.</span>
20+0.12m=80
-20. =-20
0.12m=60
m=500
500 miles
Option third is correct enlarged by a factor of 4 because the distance between two dots is 1.
<h3>What is geometric transformation?</h3>
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a star showing in the picture.
We are considering the small star as the original image.
And the big star is the pre-image.
As we know,
The scale factor =
(length of the big star in the x-direction from the origin)/(length of the small star in the x-direction from the origin)
The distance between two dots is 1.
Scale factor = 8/3
As the scale factor is greater than 1 it means the image will be enlarged.
Thus, option third is correct, enlarged by a factor of 4 because the distance between two dots is 1.
Learn more about the geometric transformation here:
brainly.com/question/16156895
#SPJ1
Lwh=volume (12)(12)(10) 144(10) =1,440
hope this helped have a great day!!