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Alexeev081 [22]
3 years ago
14

One number exceeds another by 44. the sum of the numbers is 24. what are the​ numbers?

Mathematics
1 answer:
baherus [9]3 years ago
4 0

Let, the numbers = x,y

x+y= 24   1st eqn

x-y = 44   2nd eqn

24-y-y = 44

-2y = 44-24

y = 20/-2 = -10

substitute that in equation 1st x = 24+10 = 34

so, the numbers would be 34 & -10



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The answer to your questions is: 25 new teachers

Step-by-step explanation:

Data

# of students = 2000

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I suggest to use rule of three to solve this problem

                     3 teachers ----------------  80 students

                      x                ----------------  2000 students

                  x = (2000 x 3) / 80 = 75 teachers

               Number of initial teachers = 75

The ratio change to 1:20

                     1 teacher -------------------  20 students

                     x             -------------------   2000 students

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Step-by-step explanation:

Biased means if the selection of every unit does not have an equal chance of being selected in a sample.

The sample is said to be good if choosing the unit is unbiased. The sample is said to be unbiased if the selection of each unit is independent.

Option A is an example of data selected in a biased way because principal chose only those student who scored the highest marks on reading test.

Options B and C are unbiased as here a selection of each number and name of the student has an equal chance of being selected.

Option D is biased because Sergio talked adults at a local fitness center where people go for maintaining their health. So, there is a chance of the selection of fitted adults more than unfitted adults.

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7 0
3 years ago
Read 2 more answers
The sum of the first 5 terms of an AP is 30 and the sum of the four term from T6 to T9 (inclusive) is 69. Find the AP​
Ainat [17]

Answer: The AP = 1, ⁷/₂, 6, ¹⁷/₂, 11 ..............

Step-by-step explanation:

From the first statement,

S₅ = ⁵/₂(2a + ( n - 1 )d }    = 30

       5(2a  + 4d )d           = 60

       10a    + 20d             = 60

reduce to lowest term to easy calculation by dividing through by 10

                      a + 2d       = 6 -----------------------------------1

second statement

sum of the next 4 terms inclusive

T₉  = ⁹/₂(2a + 8d )   = 69

        9(2a  + 8d )    = 30 + 69

            18a + 72d   = 99 x 2

            18a + 72d   = 198

divide through by 18 to reduce to lowest time

                a  + 4d    = 11 ------------------------------------------2

Now solve the two equation simultaneously to find a and d

                 a + 2d = 6

                 a + 4d = 11

                     -2d  = -5

                          d = ⁵/₂.

Now substitute  for d to get a

               a  + 2(⁵/₂) = 6

                a + 5       = 6

                           a   = 6 - 5

                            a = 1.

Therefore the AP = 1 , ⁷/₂ , 6 , ¹⁷/₂ , 11 , ..............

7 0
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