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otez555 [7]
3 years ago
11

Please help. 40 points

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0

Answer:

number 2

Step-by-step explanation:

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Why do you divide each term in the sum by the same factor that you pull out of the sum?
arsen [322]

We do so to follow the rule of divisibility of each term(numbers).

<h2 /><h3><u>The Rule of Divisibility:</u></h3>

The rule of divisibility of numbers is a method applied in mathematics used to determine if a number or set of numbers is divisible by a particular integer without any remainder.

Let assume that we have a series of numbers;

  • 2, 4, 6, 8, 10

From the rule of divisibility, since all the numbers are multiples of 2;

We can deduce that 2 can be the factor that is pulled out from the series to divide each term in the sum.

Learn more about the rule of divisibility here:

brainly.com/question/840412

5 0
2 years ago
Paulo catches a 7.45 am tram to school. During a period of 79 days, he arrives at school on time 53 occasions. Estimate the prob
lawyer [7]

Answer:

<em>On time: 0.67</em>

<em>Late: 0.33</em>

Step-by-step explanation:

<u>Probabilities</u>

One approach to estimating the probability of occurrence of an event is to record the number of times that event happens (e) and compare it with the total number of trials (n).

The probability can be estimated with the formula:

\displaystyle P=\frac{e}{n}

And the probability that the event doesn't occur is

Q = 1 - P

Paulo arrives on time to school e=53 times out of n=79 times. The probability that he arrives on time is:

\displaystyle P=\frac{53}{79}

P = 0.67

And the probability he arrives late is:

Q = 1 - 0.67 = 0.33

4 0
3 years ago
If the product of two number is 10 and the sum is 7 ,then the longest of the two number is​
irinina [24]

Answer:

5 units

Step-by-step explanation:

Step one:

Given data

Le the first number be x

and the second number be y

So

x*y= 10-----------------1

and

x+y= 7-----------------2

from eqn 1

x= 10/y

put x= 10/y in eqn 2

10/y+y= 7\\\\10/y= 7-y

cross multiply we have

10=y(7-y)\\\\10=7y-y^2

rearrange

y^2-7y+10=0

the factors of the quadratic expression are

-5 and -2

y^2-5y-2y+10= 0\\\\y(y-5)-2(y-5) =0\\\\y-2=0\\\\y= 2\\\\y-5= 0\\\\y=5\\\\

The longest side is 5 units

3 0
3 years ago
Two trains 150 miles apart are traveling toward each other along the same track. The first train goes 60 miles per hour; the sec
Nataly_w [17]

Answer:

120 miles

Step-by-step explanation:

Distance = 150 miles

train 1 = 60 mph

train 2 = 90 mph

directions of trains = towards each other

Time to meet = 150/(60+90) = 150 miles / 150 mph = 1 hour

Speed of fly = 120 mph

Since fly has been flying for one hour, it travelled 120 miles.

3 0
3 years ago
Two consecutive odd integers have sum of 44. Find the integers
satela [25.4K]

Answer:

21, and 23

Step-by-step explanation:

divide 44 by 2 to find the integer that spits it up perfectly into two. Then just add 1 to one 22 and minus 1 to the other. Then its 21 and 23.

8 0
2 years ago
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