Answer: Move terms to the left side−52+3=−9−5x2+3x=−9−52+3−(−9)=0−
Common factor−52+3+9=0−5x2+3x+9=0−(52−3−9)=0
Divide both sides by the same factor−(52−3−9)=0−(5x2−3x−9)=052−3−9=0
Solution=3±321 over 10
Step-by-step explanation:
The length of the rectangle is 16.
5x = 6x-7
subtract 6x from each side
-x=-7
x=7
Answer:
a = 195 ; c = 615
Step-by-step explanation:
So, you want to start by forming your equations...
I will use 'c' for children and 'a' for adults for my variables
3a + 30 = c
(this is because of the info that 30 more tickets than 3 times the amount of children's were sold than adult)
then for equation 2:
3c + 5a = 2820
(this is because of the prices of the tickets and the total money raised)
Then, plug in the equation for c
Your equation should look like:
3(3a + 30) + 5a = 2820
You get:
(9a +90) + 5a = 2820
Then:
14a = 2730
So:
a = 195 adult tickets sold
Plug in a, to find c:
3 (195) + 30 = c
585 + 30 = c
c = 615 children tickets sold
Answer:
11.25cm^2
Step-by-step explanation:
given the area of the rectangle as 40cm^2, we can get the width of the rectangle.
Area =Length x width
40cm^2 = 8cm x width
we can divide both sides 8 to be left with the width
40/8 = 5cm
so the width is 5cm which is equal to the height of the triangle.
Area of BDC = 1/2 x base x height
BDC = 1/2 x 4.5 x 5
=11.25cm^2
