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Mumz [18]
2 years ago
14

The sum of four numbers is 20 and their average is 5. When a fifth is added, the new average is 6. What is the fifth number?

Mathematics
2 answers:
ipn [44]2 years ago
8 0

Answer:

10

Step-by-step explanation:

We'll note the numbers as x_{n}, x_{n+1} ...

x_1 + x_2 + x_3 + x_4 = 20\\Avg = 5\\\frac{x_1 + x_2 + x_3 + x_4 + x_5 }{5} = 6 = \frac{20 + x_5}{5}\\ 4 + \frac{x_5}{5} = 6\\\\frac{x_5}{5} = 2\\\x_5 = 10

Mama L [17]2 years ago
3 0

Answer:

10.

Step-by-step explanation:

The average of the 5 numbers =

(20 + x) / 5 = 6  where x is the 5th number.

20 + x = 30

x = 10

The fifth number is 10.

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What is the value of 5^3i^9
Tema [17]

Answer:

5^(3)i^(9)= five cubes times i to the power of 9=125i

Step-by-step explanation:

Raise 5 to the power of 3

rewrite i9 as (i^4)2^i

so, you get 125((i^4)^2i)

i^4=1

125(1^2i)

125i

4 0
2 years ago
Find the length and width of a rectangle that has the given perimeter and a maximum area. perimeter: 244 meters
MissTica
We know that

[perimeter of rectangle]=2*(<span>length+width)
</span>
Let
x-----------> length
y-----------> width
so
P=2*(x+y)-----------> 244=2*(x+y)-----> x+y=122-------> y=122-x

Area=x*y-------> x*(122-x)----> 122x-x²

find the derivative function and equals to zero

122-2x=0-----> 122=2x----------> x=61 m
y=122-x------> y=122-61---------> y=61 m

<span>the maximum area is given by a square
</span>
the answer is
is a square of side 61 m


6 0
3 years ago
May please someone help me?
MissTica
.484 is the ansewer since 4.4 *.11 is .484 hope this helps
5 0
3 years ago
20 POINTS!
White raven [17]

Answer:

Down here ↓↓↓↓↓↓

Step-by-step explanation:

13:

It is a function, notice that if you draw a vertical line anywhere, it doesn't pass two points.

Domain : All real numbers (x-values)

Range : 2 (y-values)

14:

Not a function, if you draw a vertical line through one point, it will hit two others.

Domain : -3

Range : 4 , 0, -4

15:

It is a function, no two points in any vertical line.

Domain: All real numbers

Range: All real numbers

16:

Not a function, two points in one line

Domain : -5 ≤ x ≤ 5

Range: -2 ≤ y ≤ 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5 0
2 years ago
Factor the expression
charle [14.2K]
Hi

9k^2 + 24k + 16
= ( 3k + 4)(3k + 4)

Good luck

6 0
3 years ago
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