1) 3x+y+z=4
2) 2x+2y+3z=3
3) x+3y+2z = 5
1)*2 6x + 2y + 2z = 8
2) 2x + 2y +3z = 3
- __________________
4x - z = 5
2)*3 6x + 6y + 9z = 9
3)*2 2x + 6y + 4z = 10
- __________________
<span>4x+5z =-1
</span>
4x+5z = -1
4x - z =5
- ________
6z = -6
<u>z = -1
</u><u /><u>
</u>If z=-1,
4x -(-1) =5
4x = 5-1
x = 4/4
<u>x=1</u>
3x+y+z=4
3(1)+y+(-1)=4
3+y-1=4
<u>y=2
So z=-1, x=1, y=2</u>
Answer:
The equation of the circle is
, third option is correct.
Step-by-step explanation:
Equation of a circle:
The equation of a circle with center
and radius r is given by:

Center at (-4, 10)
This means that
.
Radius of 8:
This means that
. So



The equation of the circle is
, third option is correct.
Answer:
6.12
1.39
4.12
12
Step-by-step explanation:
If y ∝ x, then y = kx.
So, the constant of proportionality is given by
Case 1:
$18.36 for 3 pizzas
Therefore, the constant of proportionality is
Case 2:
$4.17 for 3 pounds of bananas.
Hence, the constant of proportionality is
Case 3:
$16.48 for 4 pounds of potatoes.
Hence, the constant of proportionality is
Case 4:
2 cups of flour to make 24 cookies.
Hence, the constant of proportionality is
(Answer)
9514 1404 393
Answer:
- adult: 325
- children's: 225
Step-by-step explanation:
It usually works well to let a variable represent the higher-value item in the mix. Here, we can let 'a' represent the number of adult tickets sold. Then the total revenue is ...
1.50a +1.00(550 -a) = 712.50
0.50a = 162.50 . . . . . . . . . . . . . subtract 550 and collect terms
a = 325
c = 550 -325 = 225
325 adult and 225 children's tickets were sold.
I'll just take the points thanks XD