50 is what percent of 275

Answer:

[tex](4, -1, 3)[/tex]

Step-by-step explanation:

We have the system of equations:

[tex]\left\{ \begin{array}{ll} x+2y+z =5 \\ 2x-y+2z=15\\3x+y-z=8 \end{array} \right.[/tex]

We can convert this to a matrix. In order to convert a triple system of equations to matrix, we can use the following format:

[tex]\begin{bmatrix}x_1& y_1& z_1&c_1\\x_2 & y_2 & z_2&c_2\\x_3&y_2&z_3&c_3 \end{bmatrix}[/tex]

Importantly, make sure the coefficients of each variable align vertically, and that each equation aligns horizontally.

In order to solve this matrix and the system, we will have to convert this to the reduced row-echelon form, namely:

[tex]\begin{bmatrix}1 & 0& 0&x\\0 & 1 & 0&y\\0&0&1&z \end{bmatrix}[/tex]

Where the (x, y, z) is our solution set.

Reducing:

With our system, we will have the following matrix:

[tex]\begin{bmatrix}1 & 2& 1&5\\2 & -1 & 2&15\\3&1&-1&8 \end{bmatrix}[/tex]

What we should begin by doing is too see how we can change each row to the reduced-form.

Notice that R₁ and R₂ are rather similar. In fact, we can cancel out the 1s in R₂. To do so, we can add R₂ to -2(R₁). This gives us:

[tex]\begin{bmatrix}1 & 2& 1&5\\2+(-2) & -1+(-4) & 2+(-2)&15+(-10) \\3&1&-1&8 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\0 & -5 & 0&5 \\3&1&-1&8 \end{bmatrix}[/tex]

Now, we can multiply R₂ by -1/5. This yields:

[tex]\begin{bmatrix}1 & 2& 1&5\\ -\frac{1}{5}(0) & -\frac{1}{5}(-5) & -\frac{1}{5}(0)& -\frac{1}{5}(5) \\3&1&-1&8 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\3&1&-1&8 \end{bmatrix}[/tex]

From here, we can eliminate the 3 in R₃ by adding it to -3(R₁). This yields:

[tex]\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\3+(-3)&1+(-6)&-1+(-3)&8+(-15) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&-5&-4&-7 \end{bmatrix}[/tex]

We can eliminate the -5 in R₃ by adding 5(R₂). This yields:

[tex]\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0+(0)&-5+(5)&-4+(0)&-7+(-5) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&0&-4&-12 \end{bmatrix}[/tex]

We can now reduce R₃ by multiply it by -1/4:

[tex]\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\ -\frac{1}{4}(0)&-\frac{1}{4}(0)&-\frac{1}{4}(-4)&-\frac{1}{4}(-12) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}[/tex]

Finally, we just have to reduce R₁. Let's eliminate the 2 first. We can do that by adding -2(R₂). So:

[tex]\begin{bmatrix}1+(0) & 2+(-2)& 1+(0)&5+(-(-2))\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 0& 1&7\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}[/tex]

And finally, we can eliminate the second 1 by adding -(R₃):

[tex]\begin{bmatrix}1 +(0)& 0+(0)& 1+(-1)&7+(-3)\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 0& 0&4\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}[/tex]

Therefore, our solution set is [tex](4, -1, 3)[/tex]

And we're done!

Answer: the thousands place is where the nine is

Step-by-step explanation: Hope this helps!

Answer:

The remaining number in thousands units is 9

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Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

The formula for slope is (y2 - y1)/ (x2 - x1)

Let's use (2,6) and (4,12)

12 - 6 = 6

4 - 2 = 2

6/2 = 3

The slope is 3.

Answer:

Last graph: [tex]\langle-7,-9\rangle[/tex]

Step-by-step explanation:

Here, [tex]u=\langle-2,-7\rangle[/tex] and [tex]v=\langle5,2\rangle[/tex]. Thus, [tex]u-v=\langle(-2)-5,(-7)-2\rangle=\langle-7,-9\rangle[/tex], making the last graph the correct answer.

Answer:

5-6 I think

Step-by-step explanation:

Answer:

1020

Step-by-step explanation:

pls rate brainliest!

Answer:

1020

Step-by-step explanation:

First we need to find out what 15 is so we can divide 1200 by 100 to get 12 so 1% = 12 so 15 x 12 = 180

1200-180=1020

The value of the account after two years given the amount deposited and the rate of interest would be  $99.23.

Compound interest is when both the amount deposited and the interest already accrued increase in value when interest is paid.

The formula that can be used to determine value of the account is:

B=p(1+r)^t

where:

$90(1.05)^2 = $99.23

To learn more about compound interest, please check: https://brainly.com/question/26367706

Answer:

its A

Step-by-step explanation:

Answer:

It is c

Step-by-step explanation:

Answer:

1,035 divide by 5 = 207

1,766 divide by 8 = 220.75

Answer:

hi

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

you simplify 26 simplify it again and the simplify answer is 36

Answer:

1 / 100. is the answer. got it correct.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Slope = 4

(0,-1) and (1,3)

Answer:

C

Step-by-step explanation:

using the power of elemination,looking at the first equation,we singled out the top 2, now looking at the 2nd equation, we see the y intercept is 2 meaning it has to be graph c

Allie's tax amount is the amount deducted from his taxable income

Allie's tax amount is $1427

The given parameters are:

Adjusted gross income = $25,005

Exemption = $12400

Start by calculating the taxable income using

Taxable income = Adjusted gross income - Exemption

So, we have:

Taxable income = $25,005 - $12400

Evaluate the differences

Taxable income = $12605

The question is incomplete.

So, I will use the table of the single taxable income tax bracket and rates, 2016

Using the table, the tax amount on an income of $12605 is:

Tax = $927.50 + 15% * (Amount - $9275)

So, we have:

Tax = $927.50 + 15% * ($12605 - $9275)

Evaluate

Tax = $1427

Hence, Allie's tax amount is $1427

Read more about taxable income at:

https://brainly.com/question/25783927

Answer:

The real answer is $1318

Step-by-step explanation:

I hope this helps

Answer:

1/3 - (-5/3) = 2

Step-by-step explanation:

1/3 - (-5/3)

Subtracting a negative is the same as adding a positive.

1/3 + 5/3 = 6/3, or 2

Step-by-step explanation:

So leave (9x+4) and factor (2x2-17x-9) .

Factors into (2x+1)(x-9).

Now set (9x+4)=0 and find x. x= -4/9

set (2x+1)=0 x = -1/2

set x-9=0 so x=9. you have 3 solutions which are -4/9, -1/2, and 9.

Hey there!

1) 0<2x−10<20

0+10<2x−10+10<20+10(Add 10 to all parts)

10<2x<30

10/2 <2x/2 < 30/2 (Divide all parts by 2)

5<x<15

Answer:

5<x<15

Graph in first image

2) x+7<7

Step 1: Subtract 7 from both sides.

x+7−7<7−7

x<0

OR

5+2x>8

Step 1: Simplify both sides of the inequality.

2x+5>8

Step 2: Subtract 5 from both sides.

2x+5−5>8−5

2x>3

Step 3: Divide both sides by 2.

2x/2 > 3/2

x > 3/2

Answer:

400000

Step-by-step explanation:

5^8 = 390625

390625 + 9375 = 400000

Answer:

400,000

Step-by-step explanation:

We solve for 5^8 first,

this means that 5 is being multiplied by itself 8 times.

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390,625

Now we add this to 9,375:

390,625 + 9,375 = 400,000

As we know that the area of an equilateral triangle with side a is given by ;

So , now using formula in our question, putting the value of the side, we can thus obtain

[tex]{:\implies \quad \sf Area=\dfrac{\sqrt{3}}{4}(16)^{2}}[/tex]

Putting value of √3 ≈ 1.73 and cancelling 4 we have ;

[tex]{:\implies \quad \sf Area\approx 1.73\times 64}[/tex]

[tex]{:\implies \quad \sf Area\approx 110.72\:\: cm^{2}}[/tex]

[tex]{:\implies \quad \sf Area\approx 110.7\:\: cm^{2}}[/tex]

This is the required answer

Answer:

install socratic it will give you all answer no kiding

Solution:

perimeter of rectangle = 2 ( Length + Width )

Find length/width:

2 (length + length) = 48

2(length) = 24

length = 12 cm

width = 12 cm

⇒ The dimensions of square: 12 x 12

If the square cut into half, the dimensions of either length or width will half.

Therefore, the perimeter of rectangle:

→ 2 (length + width)

→ 2 ( 12 + 6 )

→ 2 ( 18 )

→ 36 cm

Answer:

P (4 or factor of 90) = 1

Step-by-step explanation:

Given :-

Three cards numbered 2, 3, 4

To Find :-

P (4 or factor of 90)

Solving :-

4 is required and we know that 2 and 3 are both factors of 90.

Therefore, P (4 or factor of 90) = 1

Solution :-

P (4 or factor of 90) = 1

Answer:

1

Step-by-step explanation:

P(2) = 1/3

P(3) = 1/3

P(4) = 1/3

2 and 3 are factors of 90

⇒ P(factor of 90) = P(2) or P(3) = 1/3 + 1/3 = 2/3

Therefore,

P(4 or factor of 90) = P(4) or P(factor of 90) = 1/3 + 2/3 = 1

Answer:

  £40.

Step-by-step explanation:

In terms of ratio units, Stephen and Bridget together get 3+2 = 5, while Paul receives 4. That is, Paul gets 4/5 of their combined total, or ...

  4/5 · £50 = £40

Paul gets £40.

Given parameters:

Ratio of their money = 3 : 4 : 2

Total amount received by Stephen and Bridget = 50

Unknown :

How much did Paul get = ?

Solution:

The amount Paul got is a fraction of the total.

  We need to find the total amount first;

  Amount Stephen and Bridget got  = [tex]\frac{ratio of stephen and bridget}{total ratio} x total amount[/tex]

let the total amount = y;

                   50  = [tex]\frac{3+2}{9}[/tex] x y

                    [tex]\frac{5y}{9}[/tex]  = 50

                      5y = 450  

                      y = 90

Now, the amount Paul got;

                         = [tex]\frac{4}{9} x 90[/tex]

                          = 40

The amount Paul got is £40

Answer:

(6,2)

Step-by-step explanation:

Answer:

(2,6)

Step-by-step explanation:

x=2

y=6

x-y<-3

2-6<-3

-4<-3

-3 is greater than -4

Hope it helps u

Please mark it as the brainliest answer...

Answer:

If you were to solve for, 7b+ 2b = 2 then;

7b+ 2b = 2

Combine like terms first:

(7b + 2b)

9b = 2

Then divide by 9 from both sides to solve for b:

/9    /9

b = 2/9 or 0.222..

If you were to solve for, 3(2c - 10) then;

3(2c - 10)

Use the distributive property, and multiply 3 to both 2c and 10:

3(2c) - 3(10)

6c - 30

If you were to solve for, 1 + 2.1y - 0.9y + 4 then;

1 + 2.1y - 0.9y + 4

Combine like terms:

(1 + 4) (2.1y - 0.9y)

5 + 1.2

Answer:

20

Step-by-step explanation:

every three pop add 4 country you will get 4 8 12 16 20 making 20 your answer

Answer:

1,300 feet

Step-by-step explanation:

600 - 50 = 550

550 + 550 + 100 + 100 = 1,300

Letters are

No repetitions

Distinct permutation:-

Answer:

3. What figures are formed when a diagonal is drawn in a quadrilateral

a. triangles

4. which is TRUE about the sides of a parallelogram?

b. 2 pairs of sides are parallel and equal

5. if two diagonal are drawn in a rhombus or in a square, which of the following will be formed

a. 2 triangles of the same size

6. which of the following describes the sides of a square or of a rhombus

c. all sides are equal​