Answer:
The slope is 3/4
Step-by-step explanation:
Let u be speed while Lisa drove 240 miles and t be the time in completing 240 miles.
We have been given that Lisa increased her speed 20 mph than initial speed over next 540 miles. So her speed on next 540 miles will be
mph.
Further more we are given that she took 3 hours more to complete the next 540 miles of the trip than she took in completing initial 240 miles. So she took
hours in completing next 540 miles.
Since we know 
Now we will substitute our given values in our equation and find out the unknowns. After substitution we will get two equations and two unknowns.

Now we will substitute equation 1 in equation 2

Upon solving this equation, we get

Therefore, total time for Lisa to complete the entire trip is 6+6+3 = 15 hours.
And we know that total distance covered is 240+540 = 780 miles
Hence, average speed

Answer:
6 19/24
Step-by-step explanation:
First, we make the denomanators the same
2 16/24 + 4 3/24
Next, we add
6 19/24
We can't symplify so that's the answer
The table is:
Number of washes denoted by x: 0, 8, 12
Amount left on card denoted by y: 30, 18, 12
a. Write an equation that shows the amount of dollars left on the card
Solution:
18 – 30 divided by 8 – 0 = -12/8
On simplest form is -3/2
The equation is y = -3/2x + 30
b. Explain the meaning of the negative slope above.
As the number of car washes increase, the dollars left on the card decreases.
c. What is the maximum value of x?
0 = -3/2x + 30
2/3 x 3/2 x = 30/1 x 2/3
Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2
x = 20
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Answer:
m<EBD = 130 degrees
Step-by-step explanation:
We can say that Line EC is bisected by Line AD at point B. The angle CBD = 50 degrees is a supplement of the bisected line EC. With this in mind we can say:
EBD + CBD = 180
And we can solve for EBD:
EBD + CBD = 180
EBD + 50 = 180
EBD = 130
So the measure of angle EBD is 130 degrees.
Cheers.