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Vinvika [58]
3 years ago
9

5.Find the sum of all two - digit natural numbers which are divisible by 3.​

Mathematics
1 answer:
kykrilka [37]3 years ago
3 0

Answer:

1665

Step-by-step explanation:

This is AP, where:

  • First term is: 12= 3*4
  • Last term is: 99= 3*33
  • Common difference is: 3
  • Number of terms is: 33- 3= 30 (because the 4th term is included)
  • S=1/2*30(12+99)= 1665

The sum of all two - digit natural numbers which are divisible by 3 is 1665

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The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?
Ghella [55]

Let the four consecutive integers be

x , x+1, x+2, x+3

ATQ, Their sum is 18

\sf \: x + x + 1 + x + 2 + x + 3 = 18

\sf \: 4x + 1 + 2 + 3 = 18

\sf4x + 6 = 18

\sf4x = 18 - 6

\sf4x = 12

\boxed{ \mathfrak{x = 3}}

<h3>Now,</h3>

  • 1st number = x = 3
  • 2nd number = x+1 = 3+1 = 4
  • 3rd number = x+2 = 3+2 = 5
  • 4th number = x+3 = 3+3 = 6

<em>The four numbers are 3,4,5,6 respectively and the smallest number among them is 3</em><em>.</em><em>.</em><em>.</em><em>~</em>

6 0
2 years ago
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Which set of ordered pairs could NOT represent a function?
Kisachek [45]
C does not represents a function
4 0
2 years ago
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Write the expression in complete factored form. 2n^2(n-2) - a(n-2)
tatuchka [14]

Answer:

<h2>(n-2)(2n² - a)</h2>

Step-by-step explanation:

Given the expression 2n²(n-2) - a(n-2), to write this expression in a complete factor form, simply follow the instruction;

Let's assume the original expression has been broken down into that form in question, if we look at both terms, we will see that n-2 in parenthesis is common to both terms, we can therefore factor out n-2 from both terms as shown;

=  2n²(n-2) - a(n-2)

= n-2(2n² - a)

Hence the complete factor form of the expression is (n-2)(2n² - a) because the expression cannot be simplified any further.

7 0
3 years ago
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vitfil [10]

Answer:

None of the answer choices.

Step-by-step explanation:

The pattern to this problem is multiply by 4, and subtract 3. However when doing 17 * 4, you get 68. Look how both of the answer chouces start with 68, and we haven't even subtracted 3 yet. This shows that the answer choices are wrong.

<u>Correct Answer: 65, 257</u>

8 0
2 years ago
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Delvig [45]

Answer:

they aren't the same ratio

Step-by-step explanation:

ratio of 5:10 then 9:15

5/10 and 9/15

and that is simplified

2.5/5 and 3/5 so they aren't the same ratio

5 0
3 years ago
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