Given:
The inequality is:
To find:
The graph for the given linear inequality in the coordinate plane.
Solution:
We have,
The related equation for this inequality is:
The table of values is:
x y
0 3
-1 -2
Plot the points (0,3) and (-1,-2) on a coordinate plane and connect them by a dotted straight line because the sign of inequality is >.
Check the given inequality for (0,0).
This statement is true. So, the shaded area of the given inequality is towards the origin.
Therefore, the required graph is shown below.
D = 0.5 + 20x + 0.5v
Initial distance covered d1 = 0.5km
If she rode a bicycle for x hours at an average speed of 20 kilometers per hour, then her distance during thus period is,;
Speed = Distance/Time
Distance d2 = speed × time
d2 = 20x
If she ran for 0.5 hour at an average speed of v kilometers per hour, her distance this time will be;
Distance d3 = 0.5v
If her total distance is D, then;
D = d1+d2+d3
D = 0.5 + 20x + 0.5v
Hence an equation that relates D, x, and v is D = 0.5 + 20x + 0.5v
To learn more about equations from the given link
brainly.com/question/19538218
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Answer: Total cost of their meal is $78
Step-by-step explanation: 20% of 65 is a 13 dollars tip adding up to a total of $78
65*0.2 = 13
65+13=78
The starting equation is
100=S+D+K
S is for Sarah, D is for Dave, and K is for Kate
This is what we know:
S=15+D
and
K=D-5
Now that we know how to find the values of everything, we must plug it in.
100=(15+D)+D+(D-5)
Combine like terms.
100=10+3D
Subtract 10 to isolate variable.
90=3D
Divide by 3 to isolate variable.
30=D
Plug in number to find the answers.
Answer:
Sarah worked for 45 hours
Dave worked for 30 hours
Kate worked for 25 hours
Answer:
-1/2
Step-by-step explanation:
