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nignag [31]
3 years ago
14

A castle has to be guarded 24 hours a day five knights are ordered to split each day's guard duty equally how long will each kni

ght spend on guard duty in one day? Record your answer in hours.
Mathematics
1 answer:
disa [49]3 years ago
4 0

Answer:

Each knight will 4.8 hrs spend on guard in one day

Step-by-step explanation:

A castle has to be guarded 24 hours a day 5 knights are ordered to split each day's guard duty equally

Each knights has to guard equally l.e for equal time .

That means 24 hours time has to be equally divided among the 5 knights

= 24 / 5 = 4.8

Each knight will spend on guard in one day = 4.8 hrs

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FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
algol13

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , thus

S_{20} = \frac{20}{2} [ (2 × - 1) + (19 × 4) ]

     = 10(- 2 + 76) = 10 × 74 = 740

8 0
3 years ago
25 POINTS AND BRAINLIEST IF ANSWERED CORRECTLY!
vesna_86 [32]
X=-1 hope this helped!
3 0
3 years ago
Read 2 more answers
Compute $14A6_{12} - 5B9_{12}$. Give your answer as a base $12$ integer.
avanturin [10]

Answer:

you need to 12 minus 5b9 as base and don’t forget to mention the integer

4 0
3 years ago
Ach equation:<br> - 5(– 2x - 4) + 5x - 4 =- 29
Zinaida [17]

- Multiply (-2x-4) by -5:

[(-5)(-2x) + (-5)(-4)] +5x - 4 = -29

= 10x+20+5x-4=-29

- Combine Like Terms:

(10x+5x) + (20-4) = -29

15x+16=-29

- Subtract 16 from each side

15x+16 -16 = -29 -16

15x = -45

x = -3

3 0
3 years ago
Does anyone get this ? if so can u lmk the answer thxxxx:)
IgorLugansk [536]

Given:

In parallelogram ABCD, two of its vertices are A(-4,0) and B(0,3).

To find:

The equation that represents a line that contain CD.

Solution:

We have,

A(-4,0) and B(0,3)

Slope of AB is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{3-0}{0-(-4)}

m=\dfrac{3}{4}

The slope of line AB is \dfrac{3}{4}.

Opposite sides of a parallelogram are parallel and slopes of parallel lines are equal.

In parallelogram ABCD, AB and CD are opposite sides. So, their slopes must be equal.

Slope of line AB = Slope of line CD = \dfrac{3}{4}

The slope intercept form of a line is

y=mx+b

Where, m is slope and b is y-intercept.

Slope of line CD is \dfrac{3}{4}, it means the line must be of the form

y=\dfrac{3}{4}x+b

Coefficient of x is \dfrac{3}{4} only in option a.

Therefore, the correct option is a.

7 0
3 years ago
Read 2 more answers
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