What is the first thing you do before solving an adding fraction problem
Pls help

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Answer:

9 meters

Step-by-step explanation:

Area of a square:

\(A=s^2\)

There are only 2 variables in this equation, and as A is already given, you can solve for s. Just plug in the given value and go from there:

\(A=s^2\\81=s^2\\s^2=81\\s=\sqrt{81}\\s=\pm9\)

You cannot have a negative side length, so the answer here is just 9 meters.

Answer:

B.$68 + d < $96

Step-by-step explanation:

Ellis is going on a tour that costs $68 while on vacation. He brought less than $96 to pay for the cost of the tour and dinner.

$68 + d less than $96

$68 + d < $96

Note:

< = Less Than

> = Greater Than

≤ = Less Than or Equal to

≥  Greater Than or Equal to

Check the picture below.

so we really have a trapezoid and a rectangle, let's get their area and sum them up.

\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel ~sides}{bases}\\[-0.5em] \hrulefill\\ h=5\\ a=7\\ b=14 \end{cases}\implies A=\cfrac{5(7+14)}{2}\implies A=\cfrac{105}{2} \\\\\\ \stackrel{\textit{\large areas}}{\stackrel{trapezoid}{\cfrac{105}{2}}~~ +~~\stackrel{rectangle}{(12\cdot 14)}}\implies \cfrac{105}{2}+168\implies \cfrac{241}{2}\implies 120\frac{1}{2}\)

She could round all the numbers to the tens and then subtract the sum of the taxes from the total earnings. She is incorrect.

From the table showing Darle's earnings and taxes, we see that;

Total Earnings = $750

Federal Income Tax = $119.45

State Income Tax = $30.15

Other Taxes = $11.21

Now, looking at the taxes and looking at the total earnings, the best way to start approximating the total taxes to be deducted is to round them each to the nearest tens since the total earnings is also in the nearest tens.  Thus, the taxes to the nearest tens are;

Federal Income Tax = $120

State Income Tax = $30

Other Taxes = $11

Thus;

Total tax to nearest tens = 120 + 30 + 11 = $161

Thus, amount left after tax = 750 - 161 = $589

Therefore we can conclude that She could round all the numbers to the tens and then subtract the sum of the taxes from the total earnings. She is incorrect because her statement that after taxes there will be an amount greater than 600 dollars does not tally with the above calculations.

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Answer:

Use a calculater  on this ok

Step-by-step explanation:

Do it

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Answer: step by step

Step-by-step explanation:

not totally sure what you're asking but in this equation p=2

Hi small cats and cats and dogs have a great experience with the evening of the evening of 6th century the morning of this

Answer:

B.150°

Step-by-step explanation:

A regular hexagon has six sides.

The measure of the interior angle is 120°

At the point where vertices B and E share a common edge, angle BED is 90°

The sum of angle measures at point of intersection of edge BE ,ED and FE is equal to 360°

To get measure of angle DEF will be ;

=360° - {90°+120°}

=360°- {210°}

=150°

Answer: 3×4=12

Step-by-step explanation:

Brackets: X=1 , so 1+3=4 and 3+4=12

When collect data, we can compare and contrast results. based on the results, Ammonia has the strongest base.

The following are some of the characteristics of ammonia:

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Answer: Robin has 50 nickels, 60 dimes, and 120 quarters

The interval of the graph at which Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

Given data ,

Susan is running a 5k race. The graph of distance vs. time is shown

So , the slope of the first line is m₁

And , the slope of the second line is m₂

where the points are A ( 0 , 0 ) , B ( 10 , 3 ) , C ( 20 , 4 )

Now , slope of AB is

m₁ = ( 3/10 ) = 0.3

And , m₁ = 0.3 kilometers per minute

And , slope of BC is

m₂ = ( 4 - 3 ) / ( 20 - 10 )

m₂ = 1/10

m₂ = 0.1 kilometers per minute

Therefore , the interval is fastest at second line from B ( 10 , 3 ) , C ( 20 , 4 )

Hence , Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

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Answer:

A.

Step-by-step explanation:

C = 2πr = πd

A. C = π(38.5 in.) = 120.95 in.

First guess: Answer: A.

Answer:

28 percent............

Answer:

B: I and III

Step-by-step explanation:

The only pt where the x-axis and y-axis meet is the origin. The origin's coordinates are (0,0)

Answer:

When \(x=0\), the value of f(x) is 1.

Each time x increases by 1, f(x) is multiplied by 4.

Equation of function: \(f(x)=1\cdot 4^x\)

Step-by-step explanation:

The detailed explanation is attached below.

Answer:

X × Y

Step-by-step explanation:

Because you need do the multiplication between the time and the money

a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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9514 1404 393

Answer:

  (-1, -3)

Step-by-step explanation:

Each coordinate is multiplied by the dilation factor when dilation is centered at the origin.

  (1/4)(-4, -12) = (-1, -3) . . . . the image of the given point

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

65°

Step-by-step explanation:

The sum of the measures of complementary anfglwes is 90°.

Let a = the measure of the complement.

m<1 + a = 90

25 + a = 90

a = 65

Answer:   \(\;\;\frac{1}{6} , \;\; 0.16667,\;\; \text{or about}\;\;17\%\)

Step-by-step explanation:

   A regular dice has 6 sides, and only one of those sides side has a six.

        We write probability as;

   \(\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} = \frac{\text{number of times six is on the dice}}{\text{number of numberss on the dice}} =\frac{1}{6}\)

Hi, there!

 _______

\(\boxed{\boxed{\sf{Probability=\dfrac{Favorable \ Outcomes}{Total \ Outcomes}}}}\)

Here,

» Favourable Outcome(s) -> getting a 6 on a die (1 outcome),  because only one side of a die has a six on it

» Total Outcomes -> 6 (you can only get 1, 2, 3, 4, 5, 6 if you roll one die)

So,

\(\sf{Probability_{(6)}=\dfrac{1}{6}}\)

Hope the answer - and explanation - made sense to you,

happy studying!!

                                                                                                        \(\tiny\textit{frozen \ melody}\)

Answer: buy all the crop tops

Step-by-step explanation:

Answer:

Well with that amount of money u should most definitely buy them, if you liked the of course

Step-by-step explanation:

I'm just saying

Answer:

Step-by-step explanation:

To find the percentage of men who are over 70.5 inches tall, we need to use the standard normal distribution table, which gives the proportion of observations that fall within a given range of standard deviation from the mean.

We first need to standardize the height of 70.5 inches by subtracting the mean (68 inches) and dividing by the standard deviation (2.5 inches) to get (70.5 - 68) / 2.5 = 0.8

This tells us that 70.5 inches is 0.8 standard deviations above the mean.

We can then look up the proportion of observations that fall within this range in the standard normal distribution table, which is approximately 0.1587 or 15.87%. So, the answer is (1-0.1587) = 84.13 or 84.13%.

So the answer is 84.13%

Answer:

-0.6 with the 6 repeated

Given that problem as follows:

Solve x,

         ⇒ −3(6−2x)≥4x+12

First we must simplify the inequality

Inequality means:

With inequalities, we use "less than or equal to": ≤ or "greater than or equal to": ≥ to include the endpoint of the interval.

Multiply the values, then

         ⇒ −18+6x≥4x+12

         ⇒ 6x-4x≥12+18

Subtract the 'x' values

We can write,

         ⇒ 2x≥12+18

Add the 12+18=30

We can write,

         ⇒ 2x≥30

         ⇒ x≥30/2

         ⇒ x≥15

From this, it can be seen that as long as x is equal or more than 15, then it will satisfy the equation.

In mathematical expression, that means [15, ∞). Thus, the answer is [15, ∞).

Therefore,

[15,∞) interval includes all possible values of x, where –3(6 – 2x)≥4x+12

So, the answer is [15,∞).

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Step-by-step explanation:

We can rewrite the given equation as

\(x^2 + \frac{1}{5}x - \frac{12}{25} = (x + \frac{4}{5})(x - \frac{3}{5})\)

As a check, let's multiply out the factors:

\((x + \frac{4}{5})(x - \frac{3}{5}) = x^2 - \frac{3}{5}x + \frac{4}{5}x - \frac{12}{25}\)

\(= x^2 + \frac{1}{5}x - \frac{12}{25}\)

and this is our original equation.

Yes,  This is established by the Rank-Nullity Theorem, A counter-example would be a transformation that is not linear.

Yes, all linear transformations have a matrix representation. The theorem that establishes this is the Matrix Representation Theorem. This theorem states that given a linear transformation T : V → W where V and W are vector spaces over a field F, then there is a unique matrix A such that T(v) = Av for any v in V. This theorem proves that any linear transformation can be represented by a matrix.

A counter-example of a linear transformation that does not have a matrix representation is a transformation that maps a vector in one vector space to a vector in a different vector space. For example, if V is a vector space over the field F, and W is a vector space over another field K, then the linear transformation T : V → W does not have a matrix representation since the size of the matrix would need to be different for each vector in the different vector spaces.

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Answer:

Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.

Step-by-step explanation:

The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.

The equation from the fourth column is:

0.35x + 0.10(1300 - x) = 0.25(1300)

Solving for x, we get:

x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600