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uysha [10]
3 years ago
14

Find 3 consecutive odd integers such that the sum of the smallest number and the middle number is 27 less than 3 times the large

st number
Mathematics
1 answer:
Mandarinka [93]3 years ago
8 0

Let consecutive odd numbers be  

x , x+2 , x+4

Smallest number =x

Middle number =x+2

Largest number =x+4

According to condition (x) +(x+2) -27 = 3(x+4)

                                      x+x+2-27= 3(x+4)

                                      2x-25= 3x+12

Subtracting 2x and 12 both sides

                                   2x-25-2x-12=3x+12-2x-12

                                     -37= x   this is smallest odd number.

Other two odd numbers are (x+2)= (-37+2)=(-35)

                             &                (x+4)=(-37+4)=(-33)

so three consecutive odd numbers are -37 ,-35 , -33


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3 years ago
Determine the number of ways a computer can randomly generate one or more such integers from 1 through 30. Two distinct integers
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Answer:

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Step-by-step explanation:

To find : The number of ways a computer can randomly generate one or more such integers from 1 through 30. Two distinct integers whose sum is 27.

Solution :

We have given the numbers from  1,2,3,4......,29,30.

In order to get two distinct numbers having the sum 27,

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1+26=27

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3+24=27

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24+3=27

25+2=27

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3 years ago
Which expression is equivalent to 3m+1-m?
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Answer:

option  (a) is correct.

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Step-by-step explanation:

 Given expression  3m+1-m

We have to choose an equivalent expression from given options.

Equivalent expression are those expression that looks different but are same.

Like 4+2 = 6  and 3+ 3 = 6

Both have same value but looks differently.

Like terms are term having same variable with same degree.

Consider the given expression  3m+1-m

Simplify by adding like terms,

3m + 1 - m = (3-1) m + 1

Thus, (3-1) m + 1  = 2m + 1

Also 2m + 1 can be written as m + m + 2 - 1

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6 0
3 years ago
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Given:

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h(2)=6

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just plug in 2 where you have an x, and you’d have 2 + 6, which equals 6

3 0
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