Maria is 7 years older than her brother Robert and in 2 years her age will be four times what Robert’s age was three years ago.
2 answers:
You might be interested in
Answer:
The number of child tickets sold was 75 and the number of adult tickets sold was 97
Step-by-step explanation:
<u><em>The correct question is</em></u>
At the movie theater child admission is $6.30 an adult admission is $9.60 on Wednesday 172 tickets were sold for a total sales of $1403.70 How many child tickets and adult tickets were sold that day?
Let
x ----> number of child tickets sold
y ----> number of adult tickets sold
we know that
----> equation A
-----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both lines
Using a graphing tool
The intersection point is (75,97)
see the attached figure
therefore
The number of child tickets sold was 75 and the number of adult tickets sold was 97
Answer:
The dimensions of the box is 3 ft by 3 ft by 30.22 ft.
The length of one side of the base of the given box is 3 ft.
The height of the box is 30.22 ft.
Step-by-step explanation:
Given that, a rectangular box with volume of 272 cubic ft.
Assume height of the box be h and the length of one side of the square base of the box is x.
Area of the base is =
The volume of the box is = area of the base × height
Therefore,
The cost per square foot for bottom is 20 cent.
The cost to construct of the bottom of the box is
=area of the bottom ×20
cents
The cost per square foot for top is 10 cent.
The cost to construct of the top of the box is
=area of the top ×10
cents
The cost per square foot for side is 1.5 cent.
The cost to construct of the sides of the box is
=area of the side ×1.5
cents
cents
Total cost =
Let
C
Putting the value of h
Differentiating with respect to x
Again differentiating with respect to x
Now set C'=0
Now
Since at x=3 , C''>0. So at x=3, C has a minimum value.
The length of one side of the base of the box is 3 ft.
The height of the box is
=30.22 ft.
The dimensions of the box is 3 ft by 3 ft by 30.22 ft.