Answer:the number of hot dogs is 10
Step-by-step explanation:
Let x represent the number of hamburgers.
Let y represent the number of hot dogs.
The ratio of hamburgers to hot dogs is 6 to 5. This means that the ratio of x to y is 6/5
x/y = 6/5
5x = 6y
x = 6y/5
Three times the number of hot dogs is 6 more than twice the number of hamburgers. This means that
3y = 2x + 6 - - - - - - - - -1
Substituting x = 6y/5 into equation 1, it becomes
3y = 2(6y/5) + 6
3y = 12y/5 + 6
Multiplying both sides of the equation by 5, it becomes
15y = 12y + 30
15y - 12y = 30
3y = 30
y = 30/3 = 10
x = 6y/5 = 6×10/5
x = 60/5 = 12
Answer:
s inversely proportional 1/t
s=0.3, t=8
s=k/t
0.3=k/8
k=0.3×8
k=2.4
find s when t=0.4
s=2.4/0.4
s=6.0 or 6
Answer:
Burger meal costs $8 and hot dog meal costs $6.
Step-by-step explanation:
To find the price per meal, write a system of equations.
Let b = cost of a burger meal and d = cost of a hot dog meal.
Write the equation 3b + 4d = 48 for the Woodsons.
Write the equation 6b + 2d = 60 for the Barkers.
Use elimination to solve the system. Begin by making the coefficients of one variable the same in both equations by multiplying 3b + 4d = 48 by 2.
2(3b + 4d = 48) ----> 6b + 8d = 96
Stack the equations and subtract.
6b + 8d = 96
- 6b + 2d = 60
------------------------
6d = 36
d = 6
Substitute d = 6 into one equation to solve for b.
3b + 4(6) = 48
3b + 24 = 48
3b = 24
b = 8
Answer:
<u>6.89 cm</u>
Step-by-step explanation:
Here, the equation is :
Substituting the known values :
- 34 = 1/3 x 14.8 x h
- 102 = 14.8h
- h = 102/14.8
- h = <u>6.89 cm</u> (approximately)
