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Answer:
120 different ways
Step-by-step explanation:
For the first shopping mall being visited, the candidate has 5 options
Then, for the second mall being visited, there is only 4 options, as one mall was already visited.
Following this logic, there is 3 options for the third mall, 2 options for the fourth mall and 1 option for the last mall.
So the total number of ways that the visits can be scheduled is the product of all these options:
5*4*3*2*1 = 120 different ways
Answer:
The total distance Allie traveled was 0.81 miles.
Step-by-step explanation:
Since Allie rode her bike up a hill at an average speed of 12 feet / second, and she then rode back down the hill at an average speed of 60 feet / second, and the entire trip took her 2 minutes, to determine what is the total distance she traveled, the following calculation must be performed:
12 + 60 = 72
72 x 60 = 4320
1000 feet = 0.189394 miles
4320 feet = 0.8181818 miles
Therefore, the total distance Allie traveled was 0.81 miles.
Answer:
<u>The average speed or proportionality constant (y to x) of Jean biking from Pine Buff to Newberry to go to the charity event was 15 miles per hour</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Distance from Pine Bluff to Newberry (y axis) = 75 miles
Time it took Jean to rode her bicycle (x axis) = 5 hours
2. The proportionality constant (y to x) is?
We can calculate the answer this way:
Proportionality constant (y to x) = Distance from Pine Bluff to Newberry (y axis)/Time it took Jean to rode her bicycle (x axis)
Substituting with the real values, we have:
Proportionality constant (y to x) = 75/5
Proportionality constant (y to x) = 15 miles per hour
<u>The average speed or proportionality constant (y to x) of Jean biking from Pine Buff to Newberry to go to the charity event was 15 miles per hour</u>
From the diagram, all three angles are 90° (Diagonals of a Rhombus)
Angle 1 = 9x = 90
⇒ 9x = 90
x = 90/9
x = 10
Angle 2 = y + x = 90
⇒ y + x = 90
since x = 10,
y + 10 = 90
y = 90 - 10
y = 80
Angle 3 = 15 z = 90
⇒ 15z = 90
z = 90/15
z = 6
Answer is Option C
<span>C. x = 10, y = 80, z = 6</span>
