Answer:
The correct answer is:
Negative StartFraction 9 over 4 EndFraction divided by two-thirds
i.e.

Step-by-step explanation:
We have to find equivalent expression to :
Negative 2 and one-fourth divided by negative two-thirds
i.e.

We have to convert the the mixed fraction form
to simpler
fraction form.
Let us learn the concept first.
Mixed fraction is combination of a whole number and a fraction.
Expression of the form
have the following understanding:
c is the divider
b is the remainder and
a is the quotient.
To convert mixed fraction to fraction we can use the following:


Hence

i.e. the given expression is equivalent to :
Negative StartFraction 9 over 4 EndFraction divided by two-thirds
Answer:
4. 17
5. 28
Step-by-step explanation:
4. This shape can be broken up into a square and two identical triangles.
The area of a square is A=S*S
The side length of the square is 3
So the area of the square is:
A = 3 * 3
A = 9
The area of the triangle is A=(1/2)B*H
The height is 4 and the base is 2
So the area of the triangle is:
A =(1/2) * 2 * 4
A= 4
To get the total area we add the values. Since there are two triangles, we will add the triangle area twice.
So the total area is
A = 9 + 4 + 4
A = 17
The area is 17.
5. We can split the shape into two triangles and calculate the area like that.
Remember the area of a rectangle is
A = L*W
Area of the first triangle is
A = 4 * 5
A = 20
The area of the second triangle is
A = 4 * 2
A = 8
So the total area is 28
I dont feel like doing the rest of the problems, but the process is similar.
Explanation:
The solution set for a system of equation is the set of points where the graphs of the equations intersect.
__
<h3>general case</h3>
A system will have <em>one solution</em> if there is a <em>single point of intersection</em> of the graphs of the equations.
A system will have <em>no solutions</em> if the graphs have <em>no points of intersection</em>.
A system will have an <em>infinite</em> number of <em>solutions</em> if the graphs <em>intersect at an infinite number of points</em>.
_____
<h3>linear equations</h3>
When the equations are linear equations, their graphs are straight lines. If the lines have different slopes, they must intersect at exactly one point: there will be one solution.
If the lines have the same slope, there are two possibilities:
- the lines are parallel -- no solutions
- the lines are coincident -- infinite solutions
The attached graph illustrates these cases.
- the red and blue lines are the graphs of a system of equations with one solution. Those lines have different slopes
- the blue and green lines are the graphs of a system of equations with no solution. Those lines are parallel.
- The red and (dotted) purple lines are the graphs of a system of equations with infinite solutions. Those lines are coincident.
Answer:
number of hours = 3 hours
Step-by-step explanation:
Let
x = number of hours
Casa Lucia = 200 + 500x
Silver Fox = 1,100 + 200x
To solve the equation, equate both cost of rent
Casa Lucia = Silver Fox
200 + 500x = 1,100 + 200x
200 - 1,100 = 200x - 500x
-900 = - 300x
x = -900 / -300
x = 3 hours
number of hours = 3 hours
The solution to the system of equations in this real-world context represents the number of hours both locations can be rented with the same cost.
It means both locations cost the same if rented for 3 hours each