Answer:3(2x+7)-4=53-3x
6×+21-4=53-3x
6x+3x=53-21+4
9x=32+4
9x=36
X=36÷9
X=4
Step-by-step explanation:
Answer:
adults = 40
children = 68
Step-by-step explanation:
Let the children=c
Let the adults = a
<em><u>Equations</u></em>
a + c = 108 (1)
3.75a + 1.5c = 252 (2)
Multiply (1) by 1.5
1.5a + 1.5c = 162 (3)
Subtract (3) from (2)
3.75a + 1.5c = 252
1.5 a + 1.5c = <u>162</u> Subtract
2.25a = 90 Divide by 2.25
a = 90/2.25
a = 40
<em><u>Find the number of children</u></em>
a + c = 108
40 + c = 108
c = 108 - 40
c = 68
<em><u>Check</u></em>
LHS
3.75 * 40 + 1.50 * 68
150 + 102
252 Which checks with the right hand side.
Answer:
slope is y=3x-16 if thats what you are trying to find out
Step-by-step explanation:
Answer: QE = 10
Step-by-step explanation: To solve this problem, it's important to understand that the diagonals of a parallelogram bisect each other.
This means that E is the midpoint of diagonal SQ.
So we can setup the equation x² + 9x = 4x + 6.
To solve this polynomial equation, set it equal to zero first.
So we have x² + 5x - 6 = 0 and we get (x + 6)(x - 1) = 0
when we factor the left side of the equation.
So this means that x = -6 or x = 1.
However, -6 will give us a negative length when we plug it in
to find QE so this will not work.
However, plugging 1 in will give us 10 as a length so QE = 10.