The graph of the equation is attached in the figure below
Step-by-step explanation:
We need to make the graph of the equation:
Solving the equation:
Applying absolute rule: |u|<a, a>0 then -a<u<a
So,
The graph of the equation is attached in the figure below.
Keywords: Solving inequalities by Graphs
Learn more about solving inequalities at:
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The cost of one adult ticket is $7.5 and one child ticket is $3.5
Julia will pay $48 for 5 adult tickets and 3 child tickets.
Step-by-step explanation:
Let,
Cost of one adult ticket = x
Cost of one child ticket = y
According to given statement;
3x+5y=40 Eqn 1
x+5y=25 Eqn 2
Subtracting Eqn 2 from Eqn 1
Dividing both sides by 2
Putting x=2.5 in Eqn 1
Dividing both sides by 5
The cost of one adult ticket is $7.5 and one child ticket is $3.5
5 adult tickets = 5*7.5 = $37.5
3 child tickets = 3*3.5 = $10.5
Total = 37.5+10.5 =$48
Julia will pay $48 for 5 adult tickets and 3 child tickets.
Keywords: linear equation, subtraction
Learn more about subtraction at:
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Answer: B. 84 in²
Step-by-step explanation:
Divide the area into two regions: a rectangle and a trapezoid (depicted in the attached photo).
Find the area of the rectangle:
Area of a rectangle=length*width
Area of rectangle=(5 in)( 10 in)
Area of rectangle=50 in²
Next, calculate the area of the trapezoid:
Area of trapezoid=
h=10 in-6 in
h=4 in
Area of trapezoid=
Area of trapezoid=
Area of trapezoid=
Area of trapezoid=
Add the area of the trapezoid to the area of the rectangle to find the total area: 50 in²+34 in²=84 in²
