Answer:
Senior citizen: $9
Child: $11
Step-by-step explanation:
To solve this problem, we can use system of equations. Let's use x for senior citizen tickets and y for child tickets.
Equation 1: 7x+12y=195
Equation 2: x+13y=152
We can use substitution method to solve. There are also many other methods we can use. Substitution is only one of them. Let's solve for x in Equation 2.
x+13y=152 [subtract both sides by 13y]
x=152-13y
Now that we have x, we can plug it into Equation 1 and solve for y.
7(152-13y)+12y=195 [distribute by FOIL]
1064-91y+12y=195 [combine like terms]
1064-79y=195 [subtract both sides by 1064]
-79y=-869 [divide both sides by -79]
y=11
Now, we know that there are $11 of child tickets. To find x, we can plug y into any equation.
x+13y=152 [plug in y=11]
x+13(11)=152 [multiply]
x+143=152 [subtract both sides by 143]
x=9
Now, we know that a senior citizen ticket is $9 and child ticket is $11.
Answer:
m=2
b=-3
Step-by-step explanation:
standard form of the slope equation
y=mx+b
m=2
b=-3
Answer:
Will
Step-by-step explanation:
The key word in this sentence is tomorrow, because tomorrow is in the future, therefore your answer is will.
Answer:
The effect of doubling all the dimensions of a triangular pyramid will have on the volume of the pyramid is to increase it by 8 times.
Step-by-step explanation:
i) volume of triangular pyramid =
Area
height
=
(Base of triangle
perpendicular height of triangle)
height
ii) if we double all the dimensions then the three variables((Base of triangle, perpendicular height of triangle, height of pyramid) will be doubled
and the volume of the new pyramid will be 8 times that of the original one.