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valentinak56 [21]

4 years ago

8

An army commander wishing to arrange his solidiers who are 8289 in number in the form of a square and found that there were 8 so

ldiers leftover.how many soliders were in each row
pls help ASAP

2 answers:

umka2103 [35]4 years ago

6 0

91 soldiers in each row

Natalija [7]4 years ago

3 0

Number of army commander tried to put in the form of square = 8289

Number of soldiers left = 8

So originally the number of soldiers in square = 8289 - 8 = 8281

So to find the number of soldiers in each row , find the square root of 8281

$8281 = 91 \times 91$

$\sqrt{8281} = 91$

So there are 91 soldiers in each row

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Answer:

1. The equations is inconsistent and has no solution

2. The equations is consistent and has no solution

3. A pen costs $1.50 and a notebook costs $2.00

Step-by-step explanation:

Solving $7x + 3y = 10$ and $3y = 9 - 7x$

$7x + 3y = 10$ --- Equation 1

$3y = 9 - 7x$ --- Equation 2

Add 7x to both sides in equation 2

$7x + 3y = 9 - 7x + 7x$

$7x + 3y = 9$ --- Equation 3

Subtract equation 3 from 1

$(7x + 3y = 10) - (7x + 3y = 9)$

$7x - 7x + 3y - 3y = 10 - 9$

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Solving $3x + y = 4$ and $12x + 4y = 16$

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$12x + 4y = 16$ ---- Equation 2

Make y the subject of formula in equation 1

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Substitute 4 - 3x for y in equation 2

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$12x + 16 - 12x = 16$

Collect Like Terms

$12x - 12x = 16 - 16$

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3. Solving <em>John and Harry</em>

Given;

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John: $3P + 8N = 20.5$

Harry: $4P + 5N = 16.00$

Required

Find P and N

Make P the subject of formula in equation 2

$4P = 16 - 5N$

$P = \frac{16 - 5N}{4}$

Substitute $P = \frac{16 - 5N}{4}$ in equation 1

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$\frac{48 - 15N + 32N}{4} = 20.5$

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Multiply both sides by 4

$4 * \frac{48 + 17N}{4} = 20.5 * 4$

$48 + 17N = 82$

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$48 - 48 + 17N = 82 - 48$

$17N = 82 - 48$

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Substitute 2 for N in $P = \frac{16 - 5N}{4}$

$P = \frac{16 - 5 * 2}{4}$

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