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Morgarella [4.7K]
3 years ago
11

1, 5, 17, 53, ... Use inductive reasoning to create a general rule for the sequence. A. Multiply by 3, then add 2. B. Multiply b

y 5. C. Divide by 2, then add 10. D. Multiply by 4, then subtract 2.
Mathematics
1 answer:
Basile [38]3 years ago
6 0
The answer to this problem is the letter "A" which is "Multiply by 3, then add 2"
and can be written a N = 3n + 2
At first, we have initial value such n = 1
Then the second value is:
N = 3*1 + 2
N = 5
The third value is:
N = 3*5 + 2
N=17
The next values are:
N = 3*17 + 2
N= 53
The letter "A" is the inductive reasoning to the given sequence.
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You are mowing a lawn. After 12 minutes, 52% of the lawn still needs mowed. How long does it take to mow the entire lawn? Write
aleksley [76]
12/x = 52/48
12 * 48 = 52x
x = 11.07 This is one way to do it.

Let the time = x
Let the part of the lawn = y

The general equation
y = k*x
52/100 = k * 12
k = 0.043333 
y = 0.043333*x
y = 0.043333* 11.08
y = 0.48 which is what it should be.

Yet another way is to let y = kx
52 = k*12
k = 52/12
k = 4.33333333

y = 4.333333 * x
y = 4.333333 * 48
48  = 4.333333 * x
x = 11.07 which is just what you should expect.
7 0
3 years ago
Mrs. Jackson earned a 500 bonus for signing a one-year contract to work as a nurse. Her salary is 22 per hour. If her first week
jekas [21]
Ok so your first step is to make this an equation
she gets paid x amount per hour and she works for 22 hours
so 22x plus her bonus
22x + 500 =1204
so now solve the equation
subtract both sides by 500
22x +500 =1204
-500 = -500
to get
22x = 704
now divide both sides by 22
x = 32
mrs jackson worked 32 hours to get her pay check
7 0
3 years ago
At 2pm two military convoys leave Eagle River Wisconsin one headed North and 1 headed South the convoy headed North averages 50
skelet666 [1.2K]

Answer:

The answer to the question is

1.5 hours that is;

When the distance between them is more then 135 miles is after 1.5 hours and they will lose radio contact at 3:30 p.m.

Step-by-step explanation:

We note that

The speed of the military convoy headed north =50 mph

The speed of the convoy headed south  = 40 mph

Let t be the time taken for the two convoys to be 135 miles apart

The time taken for the two convoys to be 135 miles apart is given by

50×t miles+ 40×t miles= 135 miles

That is 90×t miles = 135 miles

                  t = 135/90 = 1.5 hrs

3 0
3 years ago
There are 9 red, 5 yellow, and 7 green jellybeans in a jar. Without replacement what is the probability of choosing a green jell
Mrac [35]

Answer:

3/14 chance first draw

Step-by-step explanation:

There are 14 jellybeans in all, you won’t be replacing so the probability will change with each draw.

Probability the 1st draw is red = 3/14.

Probability the 2nd draw is red = (3–1)/(14–1) = 2/13.

Probability the 3rd draw is red = (2–1)/(13–1) = 1/12.

3/14 x 2/13 x 1/12 = 6/2184 = 1/364 is approximately 0.27%, pretty rare.

8 0
2 years ago
Simplify: 27k^5m^8/(4k^3)(9m^2)
Yakvenalex [24]
The answer to your question is 3k^2m^6/4
4 0
3 years ago
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