what is 5.316 - 1.942 (show ur work)

Answer:

13.4

Step-by-step explanation:

AB =2DC

So, DC=AB/2

Now, AB/AC=DE/DC

AB/28=13/(AB/2)

AB²=13×28×2

AB=√728

AB=26.98

now, DC=AB/2

=13.4

The length of DC is √182.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

DE is parallel to AB.

If AB is twice the length of DC, AC = 28, and DE = 13

We have to find the length of DC

DC/AC=DE/AB

x/28=13/2x

Apply cross multiplication

2x²=13×28

2x²=364

Divide both sides by 2

x²=364/2

x²=182

x=√182

Hence, the length of DC is √182.

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Answer:

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

30% = 30/100 = 30 ÷ 100 = 0.3.

100% = 100/100 = 100 ÷ 100 = 1.

Increase the number by 30% of its value.

Calculate the New Value

New value =

12 + Percentage increase =

12 + (30% × 12) =

12 + 30% × 12 =

(1 + 30%) × 12 =

(100% + 30%) × 12 =

130% × 12 =

130 ÷ 100 × 12 =

130 × 12 ÷ 100 =

1,560 ÷ 100 =

15.6

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 12 =

15.6 - 12 =

3.6

Step-by-step explanation:

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hope this helps

Answer:

3.6

Step-by-step explanation:

Percentage increase =

30% × 12 =

30 ÷ 100 × 12 =

30 × 12 ÷ 100 =

360 ÷ 100 =

3.6

Answer:

The opposite of -4 1/2 is 4 1/2. Both are 4 1/2 units from zero.

Step-by-step explanation:

The opposite of -4 1/2 is 4 1/2. Both are 4 1/2 units from zero.

See attachment with a number line.

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

y=4x+3

Step-by-step explanation:

one A

Answer:

d: 729/64

Step-by-step explanation:

Plug-in the variables

Answer:

Step-by-step explanation:

Known facts:

Analyzing our choices:

Looking at what we have so far:

1 _ _ 8 4 5

Result:  103845 is the secret number

Hope that helps!

Answer:

A statistical question can be used to illustrate a population or a sample

All the TV screens in the state of Oregon represents the population

How to determine the population

The statistical question is given as:

"What is the average cost of a 48 inch screen TV in the state of Oregon?"

From the above question, we have the following parameters:

All TV screens

48 inch screen TV

All the TV screens in the state of Oregon represents the population of the distribution, while the 48-inch screen TV  represents the sample

Read more about population and sample at:

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Step-by-step explanation:

Answer:

96

Step-by-step explanation:

305/12*34/9=5185/54 or 96+1/54

Answer:

exact answer:96[tex]\frac{1}{54}[/tex]

round to the nearest whole number: 96

Answer:

Therefore option 2 is correct.

given:

solve:

option 1:

(x + 4)(x + 1)

x² + 4x + x + 4

x² + 5x + 4

option 2:

(4x+1) (x+1)

4x² + 4x + x + 1

4x² + 5x + 1

option 3:

4x + 5

option 4:

( 4x² + x ) (x + 1)

4x³ + 4x² + x² + x

4x³ + 5x² + x

Answer:

(4x + 1)(x + 1)

Step-by-step explanation:

The blue squares mean [tex]x^2[/tex]

The red rectangles mean [tex]x[/tex]

The yellow square means [tex]+1[/tex]

So adding the tiles together we get:  [tex]4x^2+5x+1[/tex]

Reading along the bottom = 4x + 1

Reading down the right side = x + 1

If we multiply these:

[tex](4x + 1)(x + 1)=4x^2+4x+x+1=4x^2+5x+1[/tex]

which is the same as above, so correct!

Answer:

A.  and C.

if you simplify the expressions, you will see which ones are equal to the expression given

Answer:

x = 2.16

Step-by-step explanation:

Question :

[tex]\frac{3.5x}{9} =\frac{4.2}{5}[/tex]

Use cross multiplication.

3.5x × 5 = 9 × 4.2

17.5x = 37.8

Divide both sides by 17.5.

x = 2.16

Let me know if you have any other questions. :-)

hi there!

[tex] = \tt \color{red}x = \frac{126}{65} \\ \\in \: \: alternate \: \: form \\ \tt \color{red} x = 1 \frac{61}{65} \: \: and \: \: x = 1.9384615[/tex]

Step-by-step explanation:

[tex]\tt \color{grey} \frac{3.9x}{9} = \frac{4.2}{5} [/tex]

[tex]\tt \color{grey} \frac{39}{ \frac{10}{9} } x = \frac{4.2}{5} [/tex]

[tex]\tt \color{grey} \frac{39}{ \frac{10}{9} } x = 0.84[/tex]

[tex]\tt \color{grey} \frac{39x}{ \frac{10}{9} } = 0.84[/tex]

[tex] \bold \color{wheat} \tiny \: simplify \: \: the \: \: complex \: \: fraction \: \: \frac{13x}{30 = 0.84} \: multiplying \: \: both \: \: sides of \: \: the \: \: equation \: by \: \frac{30}{13} [/tex]

[tex]\tt \color{grey}x = \frac{30}{13 } \times 0.84[/tex]

[tex]\tt \color{grey}x = \frac{30}{13} \times \frac{21}{25} [/tex]

[tex]\tt \color{grey}x = \frac{6}{13} \times \frac{21}{5} [/tex]

[tex]\tt \color{red}x = \frac{126}{65} \\ \\ \small \tt\color{green}in \: \: alternate \: \: form \\ \\ \tt \color{aqua}x = 1 \frac{61}{65} \: and \: \: x = 1.9384615[/tex]

hope it helps

Answer:

2 hours

Step-by-step explanation:

if jasmine took the same amount of time as Paula and Paula took 2 hours that means Jasmine also took 2 hours

Step-by-step explanation:

Use the Distributive Property:

[tex]-8x-24+x^2-9[/tex]

Combine Like-Terms and correctly format:

[tex]x^2-8x-33[/tex]

Answer:

Its is the same equation as the original, just change the -2 to -9

Step-by-step explanation:

You are moving it down by 7, so the last value, -2, goes down by 7 as well, coming to -9.

Answer:

- 6 vertical, -3 horizontal

Answer:

It would have to be 650

Step-by-step explanation:

Hope this helped

Answer:

Most Unlikely:  Less than 5

Likely:  2-digit number

Unlikely:  Multiple of 3

Equally Likely:  Odd

Most Likely:  Greater than 10

Step-by-step explanation:

there are 6x5, or 30 outcomes

Less than 5 has 1 outcome - spinner and dice both are one

Odd has 15 outcomes

Multiple of 3 has 8 outcomes:  1+5, 2+1, 2+7, 2+12, 3+12, 4+5, 5+7, 5+10

Two-digits has 12 outcomes

Greater than ten has 16 outcomes

Answer:

Most Unlikely:  Less than 5

Likely:  2-digit number

Unlikely:  Multiple of 3

Equally Likely:  Odd

Most Likely:  Greater than 10

--

The factor of the provided polynomial with the after the factorization process are similar to option C, which is

[tex](9a^3+10)(9a^3-10)[/tex]

Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

[tex]81a^6 - 100[/tex]

The above equation has the unknown variable a and the power of this unknown variable is 6. Write down the above equation in the squared form as,

[tex](9)^2(a^3)^2 - 10^2\\(9a^3)^2-10^2[/tex]

By the difference of squared formula, the above polynomial can be written as,

[tex](9a^3+10)(9a^3-10)[/tex]

Hence, the factor of the provided polynomial with the after the factorization process are similar to option C, which is

[tex](9a^3+10)(9a^3-10)[/tex]

Learn more about factor of polynomial here;

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Answer:

Im not sure what im solving here so can you tell me what?

Step-by-step explanation: Some of them already have and X meaning

Answer:

a) $452.50 b) $0

Step-by-step explanation:

Let's answer Part A first.

The final cost of the rental will be called X

x = (37.45 * 10) + 78

x  = 374.50 + 78

x = $452.50

Part B:

There is no cost for mileage.

Answer:

Step-by-step explanation:

Distributive property: a(b +c) = (a*b) + (a*c)

45 = 40 + 5

5* 45 = 5* (40 + 5)

         = 5*40 + 5*5

         = 200 + 25

         = 225

Answer:

Step-by-step explanation:

Methods of depreciation

In practice, several different methods for calculating depreciation are used. These methods can be either based on the passage of time or the level of usage of the asset. The following depreciation methods can be applied to different types of tangible assets:

Note that at the end of an asset lifespan, the total amount of its depreciation will be identical, no matter which method of depreciation is applied. The only thing that varies over the different methods of depreciation is the timing (the amount of money that is depreciated over the smaller periods).

In the further part of this text, we will focus on the description of the three most commonly used types of depreciation: the straight line depreciation, the declining balance depreciation, and the sum of years digits depreciation. We're going to pay attention especially to the depreciation formulas and the detailed explanation of how to calculate the value of depreciation with each of them.

Residual value and depreciation

As was already mentioned, residual value (salvage value) is an estimated amount of money that an asset will be worth after the planned number of years of use. Obviously, in real life, it is impossible to accurately predict the exact salvage value of an asset after a particular number of years.

That means that the salvage value is only an approximation. However, in accounting, this approximation is just a kind of a transition state. It is because when you sell an asset, if the cash received for it is greater than its net book value (Initial Value minus Accumulated Depreciation), you will need to record a gain on sale. On the other hand, if you sell an asset below its net book value, you will need to record a loss on sale.

Note here that, if this number of years in use is equal to the product lifetime, the residual value is zero.

Car depreciation calculator

For sure, one of the most interesting cases of depreciation is the loss of value of a motor vehicle. As you probably know, the value of a brand new car decreases sharply as soon as you drive off of the car dealership (experts say that the value of a car decreases to 91% of the initial value the minute you purchase it!). Over the next years, the value of the car decreases, until after several years (around 10 to 11), it reaches zero value. Obviously, you will still be able to sell it. However, its market value will be very low. To avoid the hassles of selling a used car, many people prefer leasing a car these days instead of buying one.

If you are interested in detailed car depreciation calculations, be sure to look at our car depreciation calculator. It uses a model more specific to automobiles.

How to use our depreciation calculator?

Our smart depreciation calculator enables you to compute the yearly depreciation and to determine the value of an asset after a certain time has passed on the basis of the three most commonly used methods. They are the straight line depreciation, the declining balance depreciation, and the sum of years digits depreciation.

To get results using our calculator, all you need to do is to fill in four fields:

Original cost - the original value of the asset (purchasing price),

Residual value - an estimated amount of money that an asset will be worth after the lifetime has elapsed (it is usually assumed that it is equal to zero, for more information see section Residual value and depreciation),

Lifetime - the estimated number of years the asset is likely to remain in service,

End book value after… - in this field, you should provide the year after which you would like to compute the book value of the asset.

And that's it! In a moment, our depreciation calculator computes three variants of depreciation. If you are curious how it works, you should get familiar with the depreciation of the formulas described in the following sections of the article. Each formula uses the same set of symbols:

OV is the original cost (value) of the asset,

RV is the residual value of the asset,

n is the lifetime of the asset,

m is the number of years that passed between when the asset was purchased and the date you want to sell it (it corresponds with the field End book value after… in the calculator).

Answer:

C:Both

Step-by-step explanation:

Got it fight on Khan Academy

Both of these statements are correct

What is expected value?

In statistics, expected value is computed by multiplying all the possible outcomes by the likelihood of occurrence of each outcome and then summing all of those values. In simpler terms, expected value is the mean of a probability distribution.

Here, expected value of the sum is given by E(X)= 10.5

Imani says- "After a very large number of turns, the average number of points per turn will be close to 10.5"

This statement is correct as the expected value is also the mean of the probability distribution and hence after very large number of turns, the average number of points per turn will be close to the mean value i.e. 10.5.

Samuel says, "Over 100 turns, we can expect a total of about 1,050."

This statement is also correct. Since the expected value is 10.5, in 100 turns, we can expect on average 10.5 points per turn.

∴ Total points in 100 turn = 10.5 * 100 = 1,050.

Hence, both Samuel and Imani are correct.

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Answer:

90°-40°

=50°

50°÷2

=25°

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

2x + 40 = 90

2x = 90 - 40

2x = 50

x = 25

Answer:

2 3/5

Step-by-step explanation:

how many times does 20 go into 52

20 x 2 = 40

52 - 40 = 12

12/20 can be simplified into 3/5

Answer:

52/20 and put the remainder as a fraction, also put the solution​

Step-by-step explanation:

Answer:since X-W is 5 spaces and X-Y is also 5 spaces, the area would be 25. because area is equal to length x width

Step-by-step explanation:hope this helps brainliest

Answer:

if you said 1/4 of an hour it would be the 40 cars, if half of an hour the 250 cars.

Step-by-step explanation:

Answer:

AE =15

Step-by-step explanation:

BC=16-12 = 4

AE=x

12/4 = x/5

Cross multiplication

4x=60

x=15

       4x3 = 12

       5x3 =15

Answer:

74

Step-by-step explanation:

I am sorry if this is wrong

If it is right can I get Brianlest.