Answer:
x = 2 or
x = -7
Step-by-step explanation:
(x - 2)(x + 7) = 0
x - 2 = 0
Add 2 to both sides
x - 2 + 2 = 2 + 0
x = 2
OR
x + 7 = 0
Subtract 7 from both sides
x + 7 - 7 = 0-7
x = -7
Therefore
x = 2 or
x = -7
Answer:
12
Step-by-step explanation:
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Answer: A 6 pack of shirts for $67.80 is the better deal than the other one.
Step-by-step explanation: Is that one because you need to divide each of the prices to the number of shirts. First, lets start of with 22.78/2, 22.78 divided by the 2 pack of shirts is a quotient of $11.39.
Next lets do $67.80 / 6, So 67.80 divided by 6 equals $11.30. Meanwhile, 11.30 < 11.39 because of the sale. So that's why the 6 pack of shirts for $67.80 is the better deal.
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Using proportions, it is found that the coordinates of Alonso's home are given by: (3,6).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Alonso's home is one third of the way from the shelter to Precious Pup Grooming, considering the ratios given, hence:
A - S = 1/3(P - S).
For the x-coordinate, we have that:
x + 1 = 1/3(11 + 1)
x + 1 = 4
x = 3.
For the y-coordinate, we have that:
y - 9 = 1/3(0 - 9)
y - 9 = -3
y = 6.
The coordinates of Alonso's home are given by: (3,6).
More can be learned about proportions at brainly.com/question/24372153
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Answer:
38.60 mph
Step-by-step explanation:
Average speed = total distance / total time
44 mph = (70 mi + 60 mi) / t
t = 2.95 hr
The time spent during the first 70 miles is:
d = rt
70 mi = (50 mph) t
t = 1.4 hr
So the time spent during the last 60 miles is:
t = 2.95 hr − 1.4 hr
t = 1.55 hr
So the average speed during the last 60 miles is:
d = rt
60 mi = r (1.55 hr)
r = 38.60 mph