First picture)
I: 5x+2y=-4
II: -3x+2y=12
add I+(-1*II):
5x+2y-(-3x+2y)=-4-12
8x=-16
x=-2
insert x=-2 into I:
5*(-2)+2y=-4
-10+2y=-4
2y=6
y=3
(-2,3)
question 6)
I: totalcost=115=3*childs+5*adults
II: 33=adults+childs
33-adults=childs
insert childs into I:
115=3*(33-adults)+5*adults
115=99-3*adults+5*adults
16=2*adults
8=adults
insert adults into II:
33-8=childs
25=childs
so it's the last option
question 7)
a) y<6 and y>2 can also be written as 2<y<6, so solution 3 exist for example
b) y>6 and y>2 can also be written as 2<6<y, so solution 7 exist for example
c) y<6 and y<2 inverse of b: y<2<6, so for example 1
d) y>6 and y<2: y<2<6<y, this is impossible as y can be only either bigger or smaller than 2 or 6
so it's the last option
question 8)
I: x+y=12
II: x-y=6
subtract: I-II:
x+y-(x-y)=12-6
2y=6
y=3
insert y into I:
x+3=12
x=9
(9,3)
question 9)
I: x+y=6
II: x=y+5
if you take the x=y+5 definition of II and substitute it into I:
(y+5)+y=6
which is the second option :)
If Melody used the table and still made a mistake, you can
imagine how badly we'll do if we can't even SEE the table.
Answer:
The answer is "
The volume is greater than 50 cubic units
"
Step-by-step explanation:
In this question, the value of the units and figure is missing that's why its solution can be defined as follows:
Let's the unit value =50 and please find the figure in the attachment file.
The given figure shows its box is not filled with 50 cubes. These were ten empty places where cubes could be placed.
This figure indicates that only the box size will be four units per five units per three units, so they realize it will be in...

That's why the volume value exceeds 50 cubic units.
Answer:
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
Step-by-step explanation:
Given;
diameter of the hemisphere, d = 14 cm
radius of the hemisphere, r = d/2 = 14/2 = 7 cm
The volume of the hemisphere is calculated as;

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³