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
Jobisdone [24]
3 years ago
10

Prove that: (1213–1212+1211)(119–118+117) is divisible by 3, 7, 19, and 37.

Mathematics
1 answer:
crimeas [40]3 years ago
3 0

Answer:

It is only divisible by 3 but not divisible by 7, 19, and 37.

Step-by-step explanation:

The given expression is (1213 - 1212 + 1211)(119 - 118 + 117) and we have to prove whether this expression is divisible by 3, 7, 19 and 37 or not.

Now, the expression is (1213 - 1212 + 1211)(119 - 118 + 117)

= 1212 × 118

= 3 × 2 × 2 × 101 × 2 × 59 {Those are the prime factors of the expression}

Now, it is clear that the expression 1212 × 118 is only divisible by 3 but not divisible by 7, 19, and 37. (Answer)

You might be interested in
1+1-1......................help plz due in 20 secs
kap26 [50]

1 is ur answer Step-by-step explanation:

4 0
3 years ago
Use the graphs below to help you answer the question. Which of the following is the best approximation to a solution of the equa
brilliants [131]

Answer:

2 is the correct option.

Step-by-step explanation:

We have the equation e^x=4x+1.

We will plot the graphs of the function e^x and 4x+1.

Then, the intersection points of both the graph will be the solution of the equation e^x=4x+1.

From the graphs, we see that,

The intersection points of the graphs are (0,1) and (2.337,10.347).

The solution of the equation is the value of 'x' co-ordinate where they intersect.

So, we get, x = 2 is the correct option.

4 0
3 years ago
Which list shows the numbers in order from least to greatest?
nata0808 [166]

Answer: second one (B) - 2.045, 2.43, 259


Step-by-step explanation: 2.045 is the lowest value due to the 0 in the hundredths place. 2.43 has a lower value than 259, it being a decimal.


7 0
3 years ago
At a basketball​ game, a team made 54 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 93 po
Zepler [3.9K]

Answer:

iwillanswer

Genius

4.3K answers

14.6M people helped

17 one point shots and 39 two point shots were made

Solution:

Given that,

At a basketball​ game, a team made 56 successful shots

They were a combination of​ 1- and​ 2-point shots

Let "x" be the number of 1 point shots

Then, 56 - x is the number of two point shots

The team scored 95 points in all

Therefore,

1(number of 1 point shots) + 2(number of two point shots) = 95

x + 2(56 - x) = 95

x + 112 - 2x = 95

x = 112 - 95

x = 17

Then, number of two point shots = 56 - x = 56 - 17 = 39

Thus 17 one point shots and 39 two point shots were made

8 0
3 years ago
Find the area of the shape.<br> 19 yd<br> 5 yd<br> 6 yd<br> 9 yd<br> The area is
finlep [7]

Answer:

84

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Xavier has $23.50 in his savings account. He deposits $35 every week. His mother also deposits $20 into the account every time X
    12·1 answer
  • An elementary school enrolled 57 students in each grade from kindergarten through sixth. How many students are there in the scho
    14·2 answers
  • There are 9 water birds swimming in a pond. if there are 5 ducks and geese at the pond, what fraction of the birds are ducks?
    9·1 answer
  • Marcelis takes a taxi to the airport. The taxi charges $2 per mile and an initial fee of
    10·1 answer
  • What is the quotient? x-3 divided into 4x2+3x+2
    7·2 answers
  • What is the measure of the missing angle?!
    14·1 answer
  • Select THREE equations whose graphs are straight lines
    5·1 answer
  • Devyn sold 15 boxes of cookies this week. This is 7 more than he sold last week. How many boxes did he sell last week?
    5·1 answer
  • Find the area of a circle with a diameter of 6 feet. Find both the exact area and the area rounded to the nearest
    7·2 answers
  • You don't even need to do the first one (a) <br> just do (b) please
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!