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
maw [93]
3 years ago
12

Find the largest positive integer that will divide 542, 436, 398 leaving reminders 7, 11, 15 respectively

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0

Answer:

17

Step-by-step explanation:

Here in this question for finding the numbers that will divide 398, 436 and 542 leaving remainder 7, 11 and 15 respectively we have to first subtract the remainder of the following. By this step we find the highest common factor of the numbers.

And then the required number is the HCF of the following numbers that are formed when the remainder are subtracted from them.

Clearly, the required number is the HCF of the numbers 398−7=391,436−11=425, and, 542−15=527

We will find the HCF of 391, 425 and 527 by prime factorization method.

391=17×23425=52×17527=17×31

Hence, HCF of 391, 4250 and 527 is 17 because the greatest common factor from all the numbers is 17 only.

So we can say that the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively is 17.

Note: - whenever we face such a type of question the key concept for solving this question is whenever in the question it is asking about the largest number it divides. You should always think about the highest common factor i.e. HCF. we have to subtract remainder because you have to find a factor that means it should be perfectly divisible so to make divisible we subtract remainder. because remainder is the extra number so on subtracting remainder it becomes divisible.

You might be interested in
Solve the right triangle (all sides and angles) please help!!!
andrew-mc [135]
LUFFY to the right and LUFFY to the left
3 0
2 years ago
Prove 2/sqrt3cosx+sinx=sec(pi/6-x)
dlinn [17]

Thus L.H.S = R.H.S that is 2/√3cosx + sinx  = sec(Π/6-x) is proved

We have to prove that

2/√3cosx + sinx  = sec(Π/6-x)

To prove this we will solve the right-hand side of the equation which is

R.H.S = sec(Π/6-x)

          = 1/cos(Π/6-x)

[As secƟ = 1/cosƟ)

           = 1/[cos Π/6cosx + sin Π/6sinx]

[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]

           = 1/[√3/2cosx + 1/2sinx]

            = 1/(√3cosx + sinx]/2

            = 2/√3cosx + sinx

    R.H.S = L.H.S

Hence 2/√3cosx + sinx  = sec(Π/6-x) is proved

Learn more about trigonometry here : brainly.com/question/7331447

#SPJ9

5 0
1 year ago
What is the equivalent decimal form for<br> 2/40?
Lelechka [254]

Answer:

decimal form: 0.05

Step-by-step explanation:

To find decimals divide them, so 2 divided by 40 is 0.05.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

4 0
3 years ago
Read 2 more answers
if you are asked to solve a system of equations in which there is no linear equation to start with, you can sometimes begin by i
DENIUS [597]

<u>Answer:</u>

The correct answer option is: True.

<u>Step-by-step explanation:</u>

Its true that if there is no linear equation to start with, you can isolate and substitute a variable that is squared in both the equation.

For example, for the given non linear equation, start by dividing both sides by coefficient of the variable.

Once you do that and isolate a variable, continue solving by substituting that variable into the other equation.

5 0
3 years ago
The music store sold 12 trumoets and 19 clarinets last month. If clariners sell for $139.95 and the store made $4,578.45 from sa
Kamila [148]

Answer:

$159.95

Step-by-step explanation:

Let price of trumphet be defined by x

price of clarinet = $139.95

Number of clarinets sold = 19

Earning through clarinets' sale = 19*139.95 = 2659.05

Total earning of store = $4578.45

Earning through trumphets' sale = 4578.45 - 2659.05 = 1919.40

price of one trumohet = \frac{1919.40}{12} = 159.95

price of clarinet = $159.95

7 0
3 years ago
Other questions:
  • Enter expression, e.g. (x^2-y^2)/(x-y)
    8·1 answer
  • Evaluate 2(x + 1) – 3 when x=6<br><br> A. 10<br> B. 8<br> C. 11<br> D. 5en x = 6.
    12·2 answers
  • Let W represent the width of a rectangle. The length is 7 cm more than the width. 7 cm less than twice the width.
    5·1 answer
  • Consider the polygon in the xy-coordinate plane with vertices at points (1,3),(3,4),(5,0) and (3,-1). what is the most specific
    11·1 answer
  • Dana is attaching a shelf to a wall and needs the shelf to be perpendicular to the wall. How many degrees should the shelf be re
    6·1 answer
  • There are 36 apples, 28 oranges, and 24 pears in a basket. The fruit are packed into bags. An equal number of fruit is packed in
    12·2 answers
  • Find the value of -7 - 8 - (-8) - 7.<br><br> A) -30<br> B) 14<br> C) 0<br> D) -14
    11·2 answers
  • Subtract (3x^3+4x^2)-(2x^3+3x^2-x)
    7·1 answer
  • Which statement about the figure is true
    9·1 answer
  • Find the Quotient and Remainder. 5x^3 - 6x^2 + x + 7 divided by x^2
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!