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Dashawn solves the following system of equations using the elimination method.

3x−4y=36
5x+2y=8

What value does he correctly determine for x?

Enter you answer in the box.

x =

Given:

[tex]\dfrac{5}{6+2i}[/tex]

To find:

The  quotient in the form a + bi.

Solution:

We have,

[tex]\dfrac{5}{6+2i}[/tex]

Multiply numerator and denominator by 6-2i.

[tex]=\dfrac{5\times (6-2i)}{(6+2i)\times (6-2i)}[/tex]

[tex]=\dfrac{5(6)+5(-2i)}{6^2+(2i)^2}[/tex]

[tex]=\dfrac{30-10i}{36+4i^2}[/tex]

[tex]=\dfrac{30-10i}{36+4(-1)}[/tex]    [tex][\because i^2=-1][/tex]

On further simplification, we get

[tex]=\dfrac{30-10i}{36-4}[/tex]

[tex]=\dfrac{30-10i}{32}[/tex]

[tex]=\dfrac{30}{32}-\dfrac{10i}{32}[/tex]

[tex]=\dfrac{15}{16}+(-\dfrac{5}{16})i[/tex]

Therefore, the form a+bi is [tex]\dfrac{15}{16}+(-\dfrac{5}{16})i[/tex], where, [tex]a=\dfrac{15}{16}[/tex] and [tex]b=(-\dfrac{5}{16})[/tex].

The given statement is false because the total number of toes and fingers are 30 and not 35.

We are told that If a thumb is a finger, then three gloves and three shoes normally hold thirty-five fingers and toes.

Now, we know that a glove has space for 5 fingers. This means that three gloves would have a total of; 5 * 3 = 15 fingers

Now, a shoe has space for 5 toes. Thus;

Three shoes would have a total of; 5 * 3 = 15 toes

Thus;

Total fingers and toes = 15 + 15 = 30

Thus, we conclude that the given statement is false because the total number of toes and fingers are 30 and not 35.

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The constant of Proportionality of wins to loses is 12.

Given, The total no. of games won by team is 84 and the team loses 6 games in the season.

When two or more parameters are directly or indirectly proportional to one another, their relationship is expressed as a = kb or a = k/b, where k indicates how the two variables are related. This k is known as the proportionality constant.

So, let a = Total no. of games won by team

and b = no. of games lost by team

So, proportionality constant (k) = Total no. of games won by team(a)  / no. of games lost by team(b)

k = 84/6

k = 12.

Hence, the proportionality constant is 12.

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Answer:

.84 x 10 ^4

Step-by-step explanation:

hope this helps!!!

i just got done with these, please mark brainliest

Answer:

8.4 x 10'5

Step-by-step explanation:

move the decimal point to make a number between 1 and 9.9. so 8.4. count how many times the decimal point moves. that's the power of 10

Answer:

The sorted inputs in order from least to greatest is:

0.27 < 35% < 27 < 35

Step-by-step explanation:

Given the data

0.27, 27, 35%, 35

as

so Rewriting these inputs as decimals:

0.27, 27, 0.35, 35

Sorting this table by decimal values in order from least to greatest:

0.27    35%        27       35

0.27  <  0.35    <  27  <   35

Thus, the sorted inputs in order from least to greatest is:

0.27 < 35% < 27 < 35

Answer:

A

Step-by-step explanation:

0.27

2/7 = .28

35% = 0.35

3/5 = 0.6

Answer:

X = - 25/18 the answer is that

Answer:

x < -1[tex]\frac{7}{18}[/tex]

Step-by-step explanation:

18x < -25

Divide both sides by 18.

x < -25 ÷ 18

Evaluate.

x < -1[tex]\frac{7}{18}[/tex]

Answer:

5 hours

Step-by-step explanation:

Let x represent the amount of hours that ralph can do.

Let y represent the money he earned.

Let m represent how much he earns per hour.

Let b represent the initial fee

y=mx+b

y=33x + 24

189=33x+24

Solve for x:

189=33x+24

165 = 33x

x=5

Answer:

the cost of one sweater is $40

Step-by-step explanation:

The computation of the cost of the one sweater is shown below;

Let us assume the sweater be x

And, the pant be y

Now the equations are

2x + y = $120 ..............(1)

x + 2y = $120................(2)

Now multiply by 2 in equation 1

4x + 2y = $240

x + 2y = $120

3x = $120

x = $40

Hence, the cost of one sweater is $40

Answer:

0.80

Step-by-step explanation:

9514 1404 393

Answer:

  8m³ -4m² +3m

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of its three sides. Here, you're given the perimeter and two of the sides. The third side will be the length that makes up the difference.

  P = side 1 + side 2 + side 3

  18m³ +2m² -m = (5m³ +3m² -2m) +(5m³ +3m² -2m) + side 3

  18m³ +2m² -m = (10m³ +6m² -4m) + side 3 . . . . . collect terms

  18m³ +2m² -m - (10m³ +6m² -4m) = side 3 . . . . . subtract (10m³ +6m² -4m)

  m³(18 -10) +m²(2 -6) +m(-1 +4) = side 3 . . . . . . . . . group like terms

  8m³ -4m² +3m = side 3

Answer:

1/2 = 1

3/4 = 1.5

0.875 = 1 3/4

1 = 2

1.25 = 2 1/2

Step-by-step explanation:

The solution is

Cups of sugar = 1/2 cups , Cups of flour = 1 cup

Cups of sugar = 3/4 cups , Cups of flour = 1 1/2 cups

Cups of sugar = 7/8 cups , Cups of flour = 1 3/4 cups

Cups of sugar = 1 cup , Cups of flour = 2 cups

Cups of sugar = 5/4 cups , Cups of flour = 2 1/2 cups

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of cups of sugar = S

Let the number of cups of flour = F

Now , the equation will be

1/2 cups of sugar will result in = 1 cup of flour

So , the ratio of S : F = 1 : 2

Now ,

3/4 cups of sugar will result in = 2 x 3/4 cups of flour

3/4 cups of sugar will result in = 6/4 cups of flour

3/4 cups of sugar will result in = 3/2 cups of flour

Now ,

S cups of sugar will result in = 1 3/4 cups of flour

S cups of sugar will result in = 7/4 cups of flour

S cups of sugar = ( 1/2 ) ( 7/4 ) cups

S cups of sugar = 7/8 cups

7/8 cups of sugar = 1 3/4 cups of flour

Now ,

1 cup of sugar = 2 x 1 cups of flour

1 cup of sugar will result in = 2 cups of flour

Now ,

S cups of sugar will result in = 2 1/2 cups of flour

S cups of sugar = 5/2 cups of flour

S cups of sugar = ( 1/2 ) x ( 5/2 ) cups

S cups of sugar = 5/4 cups

5/4 cups of sugar = 2 1/2 cups of flour

Hence ,

Cups of sugar = 1/2 cups , Cups of flour = 1 cup

Cups of sugar = 3/4 cups , Cups of flour = 1 1/2 cups

Cups of sugar = 7/8 cups , Cups of flour = 1 3/4 cups

Cups of sugar = 1 cup , Cups of flour = 2 cups

Cups of sugar = 5/4 cups , Cups of flour = 2 1/2 cups

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Answer:

Step-by-step explanation:

(2x - 2) - 2x > (4x + 6) - 2x

-2 > 2x + 6

(-2) - 6 > (2x + 6) - 6

-8 > 2x

-8/2 > (2x)/2

-4 > x

Answer:

x < - 4

Step-by-step explanation:

2x - 2 > 4x + 6 ( subtract 4x from both sides )

- 2x - 2 > 6 ( add 2 to both sides )

- 2x > 8

divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

x < - 4

Answer:

The growth rate is 0.6

The growth factor is 1.6

Step-by-step explanation:

Generally, the exponential equation can be written as;

y = a(1 + r)^x

Where a is the initial value of 100

r is the growth rate

So let us form equations;

160 = 100(1 + r)^1 •••••(i)

Also;

256 = 100(1 + r)^2 •••••••(ii)

Divide equation ii by i

256/160 = 1 + r

1.6 = 1 + r

r = 1.6-1

r = 0.6

Answer:

9.50%

Step-by-step explanation:

You want to set up the formula which is Exact-Approximate/Exact.

So your set up should be 6.00-5.43/6.00. Subtract the top hich should get you 0.57 and then divide by 6.00.

In the end you should've gotten 0.095. You want to make sure you place the decimals i the right area, but just by looking at your quotient, you should have figured out that the answer's 9.50%.

All in all your final correct answer will be 9.50%. Please tell me if I'm incorrect.

Thank You For Your Time!

Answer: 3x+4y=5

Step-by-step explanation:

[tex]\displaystyle\\y=-\frac{3}{4}x+\frac{5}{4} \\\\Multiply \ both\ parts\ of \ the\ equation\ by\ 4:\\\\(4)(y)=(-\frac{3}{4}x )(4)+(\frac{5}{4})(4)\\\\4y=-3x+5\\\\4y+3x=-3x+5+3x\\\\ 3x+4y=5[/tex]

Answer:

no its not J !!! its F

Step-by-step explanation:

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Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=1,\:y=-3[/tex]

As the system of equations has only one solution, thus the solution consistent.

Step-by-step explanation:

Given the system of equations

4x - 5y = 19

y = x - 4

Solving the system of equations by using the substitution method.

[tex]\begin{bmatrix}4x-5y=19\\ y=x-4\end{bmatrix}[/tex]

[tex]\mathrm{Subsititute\:}y=x-4[/tex]

[tex]\begin{bmatrix}4x-5\left(x-4\right)=19\end{bmatrix}[/tex]

[tex]4x-5\left(x-4\right)=19[/tex]

[tex]-x+20=19[/tex]

isolate x for [tex]-x+20=19[/tex]

[tex]-x+20=19[/tex]

[tex]-x=-1[/tex]

Divide both sides by -1

[tex]\frac{-x}{-1}=\frac{-1}{-1}[/tex]

[tex]x=1[/tex]

[tex]\mathrm{For\:}y=x-4[/tex]

[tex]\mathrm{Subsititute\:}x=1[/tex]

[tex]y=1-4[/tex]

[tex]y=-3[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=1,\:y=-3[/tex]

As the system of equations has only one solution, thus the solution consistent.

Please remember that if the system of equations has only one solution, then it is an independent system of equations.

describe how a spaceship sent back on earth

Answer:

They focus on the positive, by focusing on the positive the client feels better  about himself and it builds more confidence.

Answer:  310.5       2) 7 , -1

Step-by-step explanation:

1) divide 229.50 by 17 (13.5) and multiply by 23 (310.5)

2) To find the vertical asymptotes, set the denominator equal to zero and solve for x. This is already factored in, so set each factor to zero and solve. Since the asymptotes are lines, they are written as equations of lines. The vertical asymptotes are 7 and -1.

Answer:

the last one -) -7

Step-by-step explanation:

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Answer:

The linear function is;

Tn-1 = Tn + 3

What this mean is that to get the term before the present term, we add 3 to the present term

Step-by-step explanation:

Here, we want to write a liner function to describe the function

As we can see from the numbers listed,

the next term is simply obtained by deducting 3 from the previous term

We can write this as:

Tn-1 = Tn + 3

Where Tn is the next term and Tn-1 is the previous term

What the function is saying is that to get the term before the present term, we add 3 to the present term

Negation of square root is never considered a number while rest any number comes under the category of the Real number

The Numbers here are divided into two categories: Real and Imaginary. In addition to being divided into Rational and Irrational numbers. In the category of rational numbers, fractions and integers  fall under the category. The decimal numbers which are unconvertable to the fraction  form are known as irrational numbers. This means that here in the question √-15 = 15i(where i = √-1, the imaginary number)

Hence √-15 is not considered a number while  -1.96312... comes under the category of a Real Number.

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Answer: 32% is equal to 32/100.

Step-by-step explanation: This is because 32% is also equal to 0.32. Percents are evaluted with the fraction denominator 100. 32/100 is also 32 parts out of 100 parts. This expression represents 32%.

The measure of angle x is 140°

For given question,

We are given that a pair of parallel lines is cut by a transversal line .

Let a pair of parallel lines are PQ and RS and the transversal line AB cut the parallel lines PQ and RS.

We are given that an exterior angle on the left side of the transversal line is 40 degrees.

The interior angle on the right side of transversal line is x which is not vertical opposite to exterior angle = 40 degrees

We know that when two lines are parallel and cut by a transversal line then corresponding angles are congruent.

So, angle MNR = 40°

Also, ∠MNR + ∠MNS = 180°           ...............(linear pair of angles)

⇒ 40° + x = 180°

⇒ x = 140°

Therefore, the measure of angle x is 140°

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