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3 years ago

Solve: 2/9 + 2/3 = ?

Mathematics

2 answers:

rodikova [14]3 years ago

8 0

Answer:

8/9

Step-by-step explanation:

add two fractions, such as 2/9 + 2/3, make sure that the two denominators are the same and then we simply add the numerators.In cases where the denominators are not the same, you would find the lowest common denominator and adjust the fractions to keep them intact.

iragen [17]3 years ago

4 0

Answer:

Step-by-step explanation:

2 /9 + 2 /3 = 8 /9

Result in decimals: 0.88888888888889

Calculation steps:

2 /9 + 2 /3 = 2 /9

2 × 3

3 × 3

2 + 6

Further explanation

For the problem:

= ?

The Least Common Multiple (LCM) of 9 and 3 is 9. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:

2 × 3

3 × 3

Now that the fractions have like denominators, add the numerators:

2 + 6

The result is:

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A vessel full of water weighs 16.5kg. when the vessel is half full, it weighs 10.5kg. find the weight of the empty vessel

omeli [17]

We know that
A vessel full of water weighs 16.5kg
when the vessel is half full, it weights 10.5kg
so
16.5 kg-10.5 kg=6 kg is the weight of half water
the weight of full water=6kg*2------> 12 kg
so
the weight of the vessel=A vessel full of water-the weight of a full water
the weight of the vessel=16.5 kg-12kg=4.5 kg

the answer is
the weight of the vessel is 4.5 kg

5 0

3 years ago

I'm not sure to do this.. Help me please.. Thank you

Paraphin [41]

So our original equations would be..
$2y + 2(y - 4) = p \: (perimeter)$
$y \times (y - 4) = l \: (area)$

(a) perimeter in terms of y
$y = \frac{p + 8}{4}$

(b) area in terms of y
*I'm actually not sure about b.. sorry*

(c) if perimeter = 28, find length
$28 \div 4 = 7$
$7 \times 7 = 49$
$l (area)= 49$

4 0

3 years ago

The area of the regular hexagon is 169.74 ft2 what is the perimeter, rounded to the nearest tenth

Bess [88]

Answer:

Perimeter of given regular hexagon is 48.5 ft.

Step-by-step explanation:

Let ABCDEF be the regular hexagon as shown in the attached figure.

O be the intersection point of the diagonals EB, FC and AD.

As per the property of regular hexagon, all the 6 triangles formed are equilateral triangles.

In other words,

$\triangle EOD, \triangle DOC, \triangle BOC, \triangle AOB, \triangle AOF , \triangle FOE$ are equilateral $\triangle s$ .

Area of an equilateral $\triangle$ is defined as :

$\dfrac{\sqrt{3}}{4} \times a^{2}$

Where a is the side of $\triangle$ .

Area of hexagon = $6 \times \dfrac{\sqrt{3}}{4}\times a^{2}$

We are given that area of hexagon = 169.74 $ft^{2}$

Let s be the side of hexagon.

$\Rightarrow 6 \times \dfrac{\sqrt{3}}{4}s^{2} = 169.74 ft^{2}\\\Rightarrow s = 8.08 ft$

A regular Hexagon is made up of 6 equal sides, so

Perimeter of a regular hexagon = $6 \times side$

Perimeter = $6 \times 8.08$

$\Rightarrow 48.5 ft$

So, perimeter of given regular hexagon is $48.5 ft$ .

6 0

3 years ago

The equation of a line is y = mx + 2. What is the value of m (the slope) if the line passes through point A(−5, −18)?

Kitty [74]

We can input the point
remember that (x,y)
so we are given (-5,-18)
so when x=-5, y=-18
so

-18=-5m+2
minus 2 both sides
-20=-5m
divide both sides by -5
4=m
m=4
answer is 2nd option

6 0

4 years ago

- Find the total tax deductions for each of the following weekly paychecks. weekly pay $198.00 $340.00 $250.00 FICA (7.65%)

Reptile [31]

Answer:

Total tax deduction per paycheck:

= Weekly pay * FICA tax rate.

Weekly pay $198.00:

= 198 * 7.65%

= 15.147

= $15.15

Weekly pay $340.00:

= 340 * 7.65%

= $26.01

Weekly pay $250.00:

= 250 * 7.65%

= 19.125

= $19.13

3 0

3 years ago