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Nat2105 [25]
3 years ago
14

The average of three numbers is 45. two of the numbers are equal. the last number is 89. what are the two missing numbers?

Mathematics
2 answers:
san4es73 [151]3 years ago
5 0

Answer:23

Step-by-step explanation:

Let a, b and c be the three numbers

a + b + c / 3 = 45

a = b (given)

So 2a + c / 3 = 45

c = 89 (given)

So 2a + 89 /3 = 45

     2a + 89 = 135

     2a = 46

     <em>a= 23</em>

Since  a= b<em>, b = 23</em>

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So the numbers are 23 and 23

trasher [3.6K]3 years ago
4 0
The average of a set of data is equal to the sum of the values divided by the number of data present. So, if we have three numbers, the average would be:

let x, y and z represent the three numbers
average = x + y + z / 3 = 45

Two number are equal in value, so let x = y. Substituting the value to the expression of average,

45 = x + x + z / 3
45 = 2x + z / 3

It said that the last number is 89 so z is equal to 89.

45 = 2x + 89 / 3
135 = 2x + 89
46 = 2x
x = 23

Therefore, the two numbers are both 23.
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Each week our school’s team travels to other schools for competitions. Today the five members of the gymnastics team and seven w
Aliun [14]

Answer: The answer is 9.


Step-by-step explanation:  Given that five members of gymnastics team and 7 members of weight lifting team are travelling in two vans  to the rival school for competition. We are to find the number of ways in which they can ride in two vans such that no van contains more than eight passengers and there is at least one member of each team in each van.

Let 'g' and 'w' denote a member of gymnastics team and weight lifting team respectively.

Then, the possibilities are

For 1 g, we can choose 3w, 4w, 5w, 6w.

For 2g, we can choose 2w, 3w, 4w, 5w, 6w.

For 3g, we can choose 1w, 2w, 3w, 4w, 5w.

For 4g, we can choose, 1w, 2w, 3w, 4w.

Therefore, there are (4 + 5 + 5 + 4) = 18 ways.

Since, here the position of the vans does not matter, so the options are double here. Hence, we must divide it by 2.

Thus, the total number of ways = 9.


4 0
3 years ago
8
tia_tia [17]

Answer:

8-6i

Step-by-step explanation:

Multiply out (3-i)^2 in order to find out which expression it is equivalent to.

1) Since the whole quantity is squared, write it out as (3-i)(3-i).

(3-i)^2\\(3-i)(3-i)

2) Multiply binomials by using the FOIL method. Multiply the terms that are listed first in each binomial, then the ones that are listed outermost when looking at both binomials, then innermost, and finally the last terms listed in each binomial. Simplify and combine like terms.

(3-i)(3-i)\\9 - 3i - 3i + i^2

9 - 6i + i^2

3)  i = \sqrt{-1}, so i ^2 must be (\sqrt{-1} )(\sqrt{-1}). Thus, i^2 is equivalent to -1. Knowing this, simplify and combine like terms.

9 - 6i + ((-\sqrt{1} )(\sqrt{-1} ))

9 - 6i -1\\8 - 6i

Thus, it is equivalent to  8 - 6i .

6 0
3 years ago
The hour hand of a clock moves −30° every hour. How many degrees does it move in 2&amp;1/5 hours?
ad-work [718]

Answer:

ok is very easy

Step-by-step explanation:

so 1/5 of an hour is 12 mins

and 2 is 2 hrs so that 120 mins

now add 120+12=132

132 x -30 degrees

The answer to that is 132 x -30 =

-3960 sorry if its wrong and if you get a second try put -69.1150384 rad

I think sorry if you get it wrong have a good day  

6 0
3 years ago
Which system of linear equations has no solution?
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Your answer is c i pretty insurance

5 0
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The perimeter of a rectangular playground is 494 yards. The length of the playground is 7 more than twice the width. Find the le
lbvjy [14]

Answer:

https://youtu.be/wOH_gVtidns

I recorded a video of myself explaining it hope it helps ;)

Step-by-step explanation:

6 0
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