<img src="https://tex.z-dn.net/?f=x%20%5Cdiv%202%20%2B%20x%20%5Cdiv%203%20%3D%201%20" id="TexFormula1" title="x \div 2 + x \div

All categories

PIT_PIT [208]

3 years ago

3 = 1 " alt="x \div 2 + x \div 3 = 1 " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

blsea [12.9K]3 years ago

4 0

Answer:

Exact form : x=6/5

Decimal form : x=1.2

Mixed Number form : x=1 1/5

Step-by-step explanation: Solve for x by simplifying both sides of he equation, then isolating the variable.

Hope this helps you out! ☺

You might be interested in

What is the sum of the numbers as the product of their GCF and another sum ( 30+54)

hodyreva [135]

2x3=6. So the Greatest Common Factor (GCF) is 6

5 0

3 years ago

I dont get it plzzz help me

cricket20 [7]

Given Equation: $\frac{1}{3}h-4(\frac{2}{3}h-3)=\frac{2}{3}h-6$

Let us remove parenthesis first.

In order to remove parenthesis, we need to distribute -4 over parenthesis (2/3 h -3).

Distributing -4 over (2/3 h -3), we get,

-4*2/3 h - 4*-3 = -8/3 h + 12.

Substituting this value in original equation, we get

$\frac{1}{3}h-\frac{8}{3}h+12 =\frac{2}{3}h-6$

Now, in order to make the equation easy to solve, we always remove fractions. In order to remove fraction, we need to find the lowest common denominator of all terms(lcd).

The fraction terms has 3 in denominators, so we could multiply each and every term by 3 to remove 3's from denominators.

Multiplying each equation by 3, we get,

$3*\frac{1}{3}h-3*\frac{8}{3}h+3*12 =3*\frac{2}{3}h-3*6$

On simplfying this step, we get

$1h -8h+36=2h-18$

Combining like terms on left side, we get

-7h +36 = 2h -18.

Subtracting 36 from both sides, we get

-7h +36 -36= 2h -18-36.

-7h=2h-54

Subtracting 2h from both sides, we get

-7h-2h=2h-54-2h

-9h = -54

Dividing both sides by -9.

-9h/-9 = -54/-9

h = 6.

Therefore, final answer is h=6.

5 0

4 years ago

the length of a rectangle is 3cm more than the width. find the length and the width if the perimeter of the rectangle is 98cm.

laila [671]

The perimeter of a rectangle is <u>length + length + width + width</u>.

We know that the length of a rectangle is 3cm more than its width, which gives us the equation: (l for length and w for width)

l = 3 + w

We also know that the perimeter of the rectangle is 98cm, which gives us the equation:

98 = 2l + 2w (equation for perimeter of a rectangle as noted above)

We can divide both sides of this equation by 2 to get:

49 = l + w

Now we'll stick l = 3 + w into the above equation, which gives us:

49 = 3 + w + w

which simplifies to 49 = 3 + 2w.

Now we'll subtract 3 from both sides:

49 - 3 = 46

3 + 2w - 3 = 2w

which gives us 46 = 2w.

Dividing both sides by 2 gives us 23 = w.

Substituting w = 23 into the equation l = 3 + w gives us:

l = 3 + 23

l = 26cm.

Let's check our answer. 26cm is 3cm more than 23cm. 26cm + 26cm + 23cm + 23cm gives us 98cm. The length is 26cm and the width is 23cm.

7 0

3 years ago

Given log Subscript 3 Baseline 2 almost-equals 0. 631 and log Subscript 3 Baseline 7 almost-equals 1. 771, what is log Subscript

kari74 [83]

You can use the properties of logarithm to get to the solution.

The approximate value for given term is given by

$log_3(14) \approx 2.402$

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

$a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = log_a(c)$

Some properties of logarithm are:

$log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})$

<h3>Using the above properties</h3>

$log_3(2) + log_3(7) = log_3(2 \times 7) = log_3(14)\\\\0.631 + 1.771 = log_3(14)\\\\log_3(14) = 2.402$

Thus,

The approximate value for given term is given by

$log_3(14) \approx 2.402$

Learn more about logarithm here:

brainly.com/question/20835449

5 0

2 years ago

Read 2 more answers

Compare 9/15 and 10/15

choli [55]

Answer: 9/15 < 10/15

Step-by-step explanation: 9/15 < 10/15

6 0

2 years ago