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Rufina [12.5K]
2 years ago
7

Use the operation signs +,-, x, and ⌯ once each in the expression below to make the number sentence true. Why does your answer m

ake sense? Use evidence to justify your answer. 6 ___ (3 ___ 1) ___ 5 ___ 1 = 17
Mathematics
1 answer:
Zepler [3.9K]2 years ago
6 0

Answer:

6 * (3 - 1) + 5 \div 1 = 17

Step-by-step explanation:

Given

6\ [\ ]\ (\ 3\ [\ ]\ 1\ )\ [\ ]\ 5\ [\ ]\ 1\ =\ 17

Required

Fill in the box with +,-, x, and ⌯ (once each)

This question is solved using trial by error approach.

After some tests, the solution that matches the equation is:

6 * (3 - 1) + 5 \div 1 = 17

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If line q bisects EG at point T, and if ET= 1/3 x and TG= x-2, then find EG
kvasek [131]

Answer:

EG = 2 units

Step-by-step explanation:

Given that line q bisects EG at T , then

ET = TG  ( substitute values )

\frac{1}{3} x = x - 2 ( multiply through by 3 to clear the fraction )

x = 3x - 6 ( subtract x from both sides )

0 = 2x - 6 ( add 6 to both sides )

6 = 2x ( divide both sides by 2 )

3 = x

Then

ET = \frac{1}{3} x = \frac{1}{3} × 3 = 1

TG = x - 2 = 3 - 2 = 1

Thus

EG = ET + TG = 1 + 1 = 2 units

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Answer:

Step-by-step explanation:49

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kiruha [24]

For this case we have the following expression:

\frac {216 ^ {n-2}} {(\frac {1} {36}) ^ {3n}} = 216

We multiply both sides by: (\frac {1} {36}) ^ {3n}

216 ^ {n-2} = 216 * (\frac {1} {36}) ^ {3n}

We divide both sides by 216:

\frac {216 ^ {n-2}} {216} = (\frac {1} {36}) ^ {3n}

To divide powers of the same base, we place the same base and subtract the exponents:

216 ^ {n-2-1} = (\frac {1} {36}) ^ {3n}\\216 ^ {n-3} = (\frac {1} {36}) ^ {3n}

Rewriting:

(6 ^ 3) ^ {n-3} = (\frac {1} {6 ^ 2}) ^ {3n}\\6 ^ {3n-9} = \frac {1} {6 ^ {6n}}\\6^{ 3n-9} * 6^{ 6n} = 1

To multiply powers of the same base, we place the same base and add the exponents:

6^{ 3n-9 + 6n} = 1\\6^{ 9n-9} = 1

We know that any number raised to zero is 1, a ^ 0 = 1.

So, for equality to be true:

9n-9 = 0\\9n = 9\\n = \frac {9} {9}\\n = 1

Answer:

n = 1

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Answer:

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Step-by-step explanation:

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Answer:

O length = 11 inches width = 12.5 inches

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