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maw [93]
2 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]2 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.

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larisa [96]

(1) Repetition allowed : There are 4 choices for both positions, so 4 × 4 = 16 2-digit numbers can be formed. (2) Repetition not allowed : There are 4 options for tens position, and three options for ones position. Therefore, 4 × 3 = 12 2-digit numbers can be formed.

8 0
3 years ago
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Bezzdna [24]

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Step-by-step explanation:

3 0
3 years ago
For a car, $250 per month, 40 mile per gal, $2.15 cost per gal, make an linear equation
Talja [164]

Answer:

250+(40×2.15)

336

hope this helps

4 0
2 years ago
Henry wants to buy a new table saw for his carpentry shop. He has saved $360 which is 2/3 of the price of the saw. How much does
Tema [17]

If 360 is 2/3 of the full price on a saw then your equation should look like this:

360=\frac{2}{3} *x

x is your unknown full price of the saw. Just solve for x now.

360=\frac{2}{3} *x\\ \\ x=\frac{3}{2} *360=540

This means that the full price is $540.

Hope this helps!

5 0
2 years ago
Find the measure of the missing angle
Leokris [45]

Answer:

z = 69°

Step-by-step explanation:

The sum of all interior angles in a quadrilateral is 360°, and a right angle is worth 90°. We're given the values of the interior angles as 90, 122, 79, and z degrees.

  • We can solve this question algebraically with the equation 90 + 122 + 79 + z = 360

Step 1: Combine like terms.

  • (90+122+79)+z=360
  • z + 291 = 360

Step 2: Subtract 291 from both sides.

  • z + 291 - 291 = 360 - 291
  • z = 69

Step 3: Check if solution is correct.

  • (69) + 261=360
  • 360 = 360

Therefore, z = 69°.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0
2 years ago
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