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
The answer to the question is 20.55
Step-by-step explanation:
first tiu need to find a common denominator. that's would 21. I hope you know what to do lol. then you make them improper fractions. SONT FORGET TO SIMPLIFY.
Answer: 44 miles
WORKINGS
Given,
The distance between Indianapolis and Lima, IL = 173 miles
The distance between Indianapolis and Dayton, ID = 165 miles
The distance between Dayton and Lima, DL is unknown
Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.
The right angle is at Dayton
The hypotenuse is the distance between Indianapolis and Lima, IL
Therefore IL^2 = ID^2 + DL^2
173^2 = 165^2 + DL^2
DL^2 = 173^2 – 165^2
DL^2 = 29929 – 27225
DL^2 = 2704
DL = 52 miles
Therefore, The distance between Dayton and Lima, DL = 52 miles
The question is asking how many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima.
That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
That is, ID + DL – IL
= 165 miles + 52 miles – 173 miles
= 217 miles – 173 miles
= 44 miles
Therefore, Meg would drive 44 more miles if she stopped in Dayton first than if she drove directly to Lima.
