1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PSYCHO15rus [73]
3 years ago
10

Find the smallest integer a > 2 such that 2/a, 3/a+1, 4/a+2, 5/a+3, 6/a+4

Mathematics
1 answer:
olga55 [171]3 years ago
8 0

Answer:

62

Step-by-step explanation:

we have given a> 2

then \frac{2}{a}\ ,\frac{3}{a+1}\ ,\frac{4}{a+2}\ , \frac{5}{a+3}\ ,\frac{6}{a+4}

since it is given that a> 2

so a\equiv 2\ mod\ 4  a\equiv 2\ mod\ 5  a\equiv 2\ mod\ 6

a\equiv2 \left ( mod\ 2,3,4,5,6 \right )

a\equiv2 \left ( mod\ lcm\left ( 2,3,4,5,6 \right )\right )

a\equiv2 \left ( mod\ 60 \right )

then a=60n+2 where n is a positive integer

so smallest value of a is a=60×1+2=62

You might be interested in
The perimeter of a rectangle is 48 inches off the length is twice the width what is the length of the rectangle
sammy [17]

Answer:

Length: 16

Width: 8

Step-by-step explanation:

8 + 8 + 16 + 16 = 48

7 0
3 years ago
Help me please!! If you do you will get 25 points :)
Radda [10]

Answer:

24 units by 15 units

Step-by-step explanation: To find how many units the length and width are, divide each by 5:

120/5 = 24

75/5= 15

For every 5 feet, there is 1 unit .

6 0
3 years ago
Write each equation in slope intercept form the graph
Makovka662 [10]

I believe the answer is 4/5x +2. Sorry if I’m wrong.

8 0
3 years ago
What is the sum of the finite arithmetic series? 26 + 29 + 32 + 35 + 38 + 41 + 44
Leya [2.2K]
The sum of the finite arithmetic series of <span> 26 + 29 + 32 + 35 + 38 + 41 + 44 is 245. Arithmetic series is a sequence of number such that the difference between any term and the previous term is a constant number. When we sum a finite number of terms in the arithmetic series, we get the finite arithmetic series. </span>
4 0
4 years ago
Read 2 more answers
What is the y-coordinate of the solution of the system of equations? {y=3x−262x−y=19
givi [52]

Answer:

<h2>           y = -5</h2>

Step-by-step explanation:

y = 3x − 26

2x − y = 19

2x - (3x - 26) = 19

2x - 3x + 26 = 19

   - x = - 7

     x = 7

y = 3•7 -26 = 21 - 26 = - 5

6 0
3 years ago
Other questions:
  • Ryan made 65 ounces of apple jelly he put the same amount of jelly into 6 jars about how much jelly is in each jar
    10·1 answer
  • Pls help it will mean alot!!<br> due rn!!
    8·2 answers
  • The side lengths of a right triangle are 24 , 45 , and 51 . Determined which is the length of the hypotenuse
    12·1 answer
  • Can someone help me with find percentages of things
    9·2 answers
  • A giraffe runs top speed at tree that is 400'ft away. write expression representing the giraffes distance from tree after s seco
    13·1 answer
  • What is the output, or y-value, when you input x = -3 into the function: x² − 3x + 1
    15·1 answer
  • Write the equation of a line that passes through the points (-4, -5) and (2, 13).
    10·1 answer
  • A car travels 1/6 of the distance between two cities in 3/5 of an hour. At this rate, what fraction of the distance between the
    7·1 answer
  • PLZ
    9·2 answers
  • Which of the following states the law of universal gravitation?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!