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3 years ago

Exercises

1 answer:

5 0

A real-world situation to model the number line is: It was colder on Friday night than Saturday morning because 0 is greater than -1

<h3>How to interpret the number line?</h3>

See attachment for the number line

From the figure, we have the following points

0 and -1

The number line can be modelled by temperature where a colder temperature is represented by 0, while the other temperature is -1 degrees Celsius

Hence, a complete scenario is:

On a Friday night, the measure of the temperature is 0 degrees Celsius. On Saturday morning, the temperature is -1 degree Celsius. It was colder on Friday night than Saturday morning because 0 is greater than -1

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What percent of 51 is 127.5?

kolbaska11 [484]

$51 * \frac{x}{100} = 127.5 
 \\ 
51 * x = 127.5 * 100 \\ 
51*x = 12.750 \\ 
x = \frac{12.750}{51} \\ \\ 
x = 250 
$

the percentage is 250

7 0

4 years ago

Consider this system of linear equations:

Ilia_Sergeevich [38]

  -x + y = -13 → -3x + 3y = -39
-4x + 3y = -51 → -4x + 3y = -51
x = 12
-x + y = -13
-(12) + y = -13
-12 + y = -13
+ 12 + 12
  y = -1
   (x, y) = (12, -1)

3 0

3 years ago

Evaluate 31 + 2x when x = 4.

Korolek [52]

X=4 so
2x=8
2x4=8
8+31 =39

3 0

3 years ago

Read 2 more answers

What are the greatest common divisors of these pairs of integers?a. 3⁷. 5³. 7³,2ⁱⁱ.3⁵.5⁹b. 11.13.17, 2⁹.3⁷.5⁵.7³c. 23³ⁱ,23ⁱ⁷d. 4

KatRina [158]

Answer:

a) 3⁵5³.

b) 1

c) 23³

d) 41·43·53

e) 1

f) 1111

Step-by-step explanation:

The greatest common divisor of two integers is the product of their common powers of primes with greatest exponent.

For example, to find gcd of 2⁵3⁴5⁸ and 3⁶5²7⁹ we first identify the common powers of primes, these are powers of 3 and powers of 5. The greatest power of 3 that divides both integers is 3⁴ and the greatest power if 5 that divides both integers is 5², then the gcd is 3⁴5².

a) The greatest common prime powers of 3⁷5³7³ and 2²3⁵5⁹ are 3⁵ and 5³ so their gcd is 3⁵5³.

b) 11·13·17 and 2⁹3⁷5⁵7³ have no common prime powers so their gcd is 1

c) The only greatest common power of 23³ and 23⁷ is 23³, so 23³ is the gcd.

d) The numbers 41·43·53 and 41·43·53 are equal. They both divide themselves (and the greatest divisor of a positive integer is itself) then the gcd is 41·43·53

e) 3³5⁷ and 2²7² have no common prime divisors, so their gcd is 1.

f) 0 is divisible by any integer, in particular, 1111 divides 0 (1111·0=0). Then 1111 is the gcd

5 0

3 years ago

Divide 345609875by 13

grin007 [14]

Answer:

26585375

Step-by-step explanation:

5 0

3 years ago