Answer:
1 Hot dog = $2.50; 1 Nacho = $3.00
Step-by-step explanation:
Let x be the cost of 1 hotdog
let y be the cost of 1 nacho
6
x
+
3
y
=
24 (Equation 1)
8
x
+
1
y
=
23 (Equation 2)
Divide equation 1 by 3
2
x
+
y
=
8 (Equation 3)
Subtract Equation 3 from Equation 2
8
x
−
2
x
+y
−
y
=
23
−
8
Simplifying
6
x
=
15
1 Hot dog = $2.50
Substitute the value calculated above into Equation 1
15
+
3
y
=
24
3
y
=
9
1 Nacho = $3.00
For rigt triangle with legs legnth a and b and hypotnuse legnth c
a^2+b^2=c^2
we are given
larger leg is 3 longer than smaller leg
hypotnuse is 6 longer than smaller
find smaller
ok so
first pick a smaller leg
lets say b is smaller
longer leg is 3 more than shorter leg
a is 3 more than b
a=3+b
and
hypontuse is 6 more than shorter
c=6+b
sub 3+b for a and 6+b for c in oroiginal equation'
a^2+b^2=c^2
(3+b)^2+b^2=(6+b)^2
9+6b+b^2+b^2=36+12b+b^2
2b^2+6b^2+9=b^2+12b+36
minus (b^2+12b+36) from both sides
b^2-6b-27=0
factor
(b-9)(b+3)=0
set equal to zero
b-9=0
b=9
b+3=0
b=-3
fasle, legnths cannot be negative
answer is shorter side=9 cm
What you have to do is multiply 475.00 by .20. Then from there yousubtract 475-(475*.20). From there you will get the answer.
The Predecessor of ( -41 ) is --------------- -42
