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3 years ago

What is the value of n in the equation 1/2(n-1) - 3 = 3 - (2n + 3)?

Mathematics

1 answer:

natulia [17]3 years ago

4 0

Hey there! :)

1/2(n - 1) - 3 = 3 - (2n + 3)

Simplify.

1/2n - 1/2 - 3 = 3 - 2n - 3

Add like terms.

1/2n - 3 1/2 = -2n

Add 3 1/2 to both sides.

1/2n = -2n + 3 1/2

Then, add 2n to both sides.

1/2n + 2n = 3 1/2

Simplify!

2 1/2n = 3 1/2

Make everything into improper fractions!

5/2n = 7/2

Multiply everything by 2 to get rid of the denominators.

5/2n × 2 = 7/2 × 2

Simplify!

5n = 7

Divide both sides by 5.

n = 7/5

Hope this helped! :)

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<h3><u>Answer:</u></h3>

$\boxed{\pink{\sf\leadsto Value \ of \ x \ is \ 24^{\circ}}}$

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In the given parallelogram we can see that , <B is 5x° and <C is equal to 2x + 12°.

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Hence , here

$\tt:\implies \angle DCB + \angle ABC = 180^{\circ} \\\\\tt:\implies (2x + 12)^{\circ} + 5x^{\circ}=180^{\circ} \\\\\tt:\implies 7x = (180 - 12 )^{\circ} \\\\\tt:\implies 7x = 168^{\circ} \\\\\tt:\implies x =\dfrac{168^{\circ}}{7} \\\\\underline{\boxed{\red{\tt\longmapsto x = 24^{\circ}}}}$

<h3><u>Hence the value of x is 24°</u><u>.</u></h3>

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3 years ago

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3 years ago

When Klorina swims with the current, she swims 10 km in 2 h. Against the current, she can swim only 8 km in the same time. How f

nasty-shy [4]

Answer:

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Step-by-step explanation:

Let

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y km/h = current's rate

<u>With the current (current helps):</u>

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Distance = 8 km

Time = 2 hours

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Add these equations:

$x+y+x-y=5+4\\ \\2x=9\\ \\x=4.5\ km/h$

Subtract these two equations:

$(x+y)-(x-y)=5-4\\ \\x+y-x+y=1\\ \\2y=1\\ \\y=0.5\ km/h$

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3 years ago

Which list orders the number from least to greatest

sineoko [7]

Answer:

Option C

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Step-by-step explanation:

to get the list that orders the numbers from the least to the greatest, we need to, first of all, know the smallest and the largest numbers.

The largest number is easy to guess - it is undoubtedly 3.

However, the smallest number may be a bit tricky because we are dealing with negative numbers. When dealing with negative numbers, the numbers with greater magnitudes are actually smaller. This means that -5 is less than -3, which is less than -2, and so on.

Coming back to our question, we can now order the numbers as -5, -2, 1, 3 which is option C

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