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 :)
Answer:
O x = 2
Step-by-step explanation:
Only x-intercepts will make the line horizontally and x = 2 is the line that passes through the point (2, 10)
Take the 25 art projects devised by 100% would be .25 then multiply .25 by the percentage that got perfect scores in which you would get 3 perfect scores
.25x12=3
Good evening ,
Answer:
The weight : 29 pound
Alan would pay for his dinner : $130
Step-by-step explanation:
Let x represent the weight of the lobster
the cost of the dinner at restaurant 1 is 4x + 14
the cost of the dinner at restaurant 2 is 3x + 43
Now ,we have to solve the equation : 4x + 14 = 3x + 43
4x + 14 = 3x + 43
⇔ x = 43 - 14
⇔ x = 29
In this case Alan would pay the same amount for his dinner at any restaurant:
the price = 4×(29)+14 = 130
= 3×(29)+43 = 130.
:)
Answer:
52,530 centimeters
Step-by-step explanation:
<u>Step 1: Convert Meters into Centimeters</u>
1 meter = 100 centimeter
5253 * 100 = 52,530 centimeters
Answer: 52,530 centimeters
