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dalvyx [7]
3 years ago
9

The sum of two integers is 64. The larger is 16 more than three times the smaller. Find the two integers.

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
3 0

Answer:

12 and 52

Step-by-step explanation:

Let x and y be the 2 integers with x > y, then

x + y = 64 and

x = 3y + 16 ( 16 more than 3 times the smaller )

Substitute x = 3y + 16 into x + y = 64, that is

3y + 16 + y = 64

4y + 16 = 64 ( subtract 16 from both sides )

4y = 48 ( divide both sides by 4 )

y = 12 and x = 3(12) + 16 = 36 + 16 = 52

The 2 integers are 12 and 52

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A stack of 500 pieces of paper is 1.9 inches tall. How thick is each piece of paper?
professor190 [17]

Answer:

0.00375 inches thick

4 0
3 years ago
The ratio of dogs to cats at the Humane Shelter is 3:9. If there are 45 dogs at the Humane Shelter, how many cats are there?
kondaur [170]

Answer:

c) 135

Step-by-step explanation:

dog ratio is 3

45 ÷ 3 = 15

therefore ratio 1 is 15

ratio 9

9×15 = 135

5 0
3 years ago
A six-sided number cube is rolled 600 times. The results are 246 even numbers and 354 odd numbers.
Kay [80]

Answer:

Relative frequency is defined as the number of "desired" results divided by the total number of possible results. Experimental probability is defined the same way. This means that the first choice is best, the experimental probability and relative frequency are the same.

The theoretical probability, on the other hand, would be 0.5, or 300/600, which is larger than the experimental probability.

Step-by-step explanation:

3 0
3 years ago
Students in a class are asked to stand in ascending order according to their heights for the annual class photograph. Determine
horrorfan [7]

Answer:

The function in Python is as follows:

def heightChecker(heights):

   expected = []

   count = 0

   for i in range(len(heights)):

       expected.append(heights[i])      

   expected.sort()

   for i in range(len(heights)):

       if expected[i] != heights[i]:

           count+=1  

   return count

Step-by-step explanation:

Required

Function to return the number of out of position students

<em>See comment for complete question</em>

This defines the function. It receives the heights as a parameter, from the main

def heightChecker(heights):

This initializes a list, (expected list)

   expected = []

This initializes the count of out of position students

   count = 0

This iterates through the original list

   for i in range(len(heights)):

The list item is then appended to the expected list

       expected.append(heights[i])      

This sorts the expected list in ascending order

   expected.sort()

This iterates through the original and the expected lists

   for i in range(len(heights)):

If list elements at the same index are not the same, count is incremented by 1

<em>        if expected[i] != heights[i]: </em>

<em>            count+=1  </em>

This returns count

   return count

4 0
3 years ago
Are c and d the correct answer for this question?
dsp73

Answer:

A E

Step-by-step explanation:

A => 10/4 = 5/2

B => 4/2 = 2

C => 2/5

D => here y is less than x

E => 10/4 = 5/2

3 0
3 years ago
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