Look at the system of equations below.
4x-5y=3
3x+5y=13

A student makes this argument: Elimination is the best method for solving this system because the y-coefficient in the first equation is the opposite of the y-coefficient in the second equation.

Complete the student’s argument by explaining why substitution and graphing are less efficient methods than elimination for this system.

Answer:i’m not sure but i think it’s around 10-11 for per pound for the lobsters.

Step-by-step explanation:

15$ + 4per lobster = 19$ and 38$+$3=41 so it should be around that amount of 22

he would pay $107

and it would weigh 23 pounds

Step-by-step explanation:

15+4p=x

38+3p=x

15+4p=38+3p

subtract 3p from both sides

15+p=38

subtract 15 from both sides

p=23

15+4(23)=107

38+3(23)=107

Answer: The number is 6

Step-by-step explanation:

Let the number be x,

1/3 of the number is the same as 1/3 of x , so from the first statement , we have

16 + [tex]\frac{1}{3}[/tex]x = 3x

Multiplying the equation through by 3 , we have

48 + x = 9x

48 = 9x - x

48 = 8x

divide through by 8

therefore :

x = 6

Therefore : the number is 6

Answer:

From left to right:

2, 4, 32

Step-by-step explanation:

Using the one column which is completed, determine the ratio of yellow to blue by reducing to lowest terms.

yellow to blue = 8 to 16

8 and 16 are both divisible by 8. 8/8 = 1 and 16/8 = 2

8 to 16 = 1 to 2

This means there is half as much yellow paint as there is blue paint. If said backwards, there is double the amount of blue paint as there is yellow paint.

In the first two columns, yellow paint is blue paint divided by 2.

4/2 = 2

8/2 = 4

In the last column, blue paint is yellow paint times 2.

16 X 2= 32

All of the ratios yellow to blue are:

2 to 4

4 to 8

8 to 16

16 to 32

Answer:

The correct option is type I error.

Step-by-step explanation:

Consider the provided information.

Type I error is the error occur when we reject the true null hypothesis,

Type II error is the error occur when we fail to reject false null hypothesis.

Now consider the provided information.

The symbol do we use for  this probability is type I error.

Hence, the correct option is type I error.

Answer:15/28

Step-by-step explanation: Ive had this question before That is the answer :)

Final answer:

To find the probability of selecting a solid sock both times from Daniel's drawer, multiply the probabilities at each step independently to get 1/105 or approximately 1% in total.

Explanation:

To calculate the probability of selecting a solid sock both times, you need to consider the independent probabilities at each step.

Probability of selecting a solid sock the first time is 1/7.

Probability of selecting a match for the second sock from the remaining socks would be 1/5.

Continuing this pattern, the total probability of selecting a solid sock both times is 1/105 or about 1%.

Answer:

expression for cookies  Anna have 3c- 8

Step-by-step explanation:

Given:

Number of cookie batches Anna baked = 2

Number of cookies in each batch = c

Number of cookies Anna ate  = 8

To Find:

An expression representing the number of cookies left with Anna

Solution:

Let the expression representing the number of cookies left with Anna be y

First let us find the total number of cookies Anna baked

She baked 3 batches of cookies and each batch had c cookies in it

So,

Total number of cookies Anna baked =  number batches X Number of cookies in each batch

=>[tex]3 \times c[/tex]

=> 3c

Now Anna ate 8 from 3c cookies, so she will be left with

=>3c-8 cookies

So , y = 3c- 8

Answer:

Let's begin by explaining the following:

The magnitude of any number (a charge in this particular case) is the distance this number has from 0 on the number line.

Now, since according physics a distance can never be negative, the magnitude of a number will always be positive. This means the magnitude of these given charges will always be positive, no matter if they are negative, positive or neutral.

Having this clarified, let's answer:

Element A has a charge of +5 and its magnitude is +5

Element B has a charge of -3 and its magnitude is +3

Element C has a charge of 10 and its magnitude is +10

Answer:

Profit = $265.04.

Selling price = $1329.05

Step-by-step explanation:

Paul brought a Computer at a cost price of $1064.

Now ,

The marked price of the computer is given as $1399.

Also,

He is giving a total discount of 5% on  the marked price of the computer i.e., $1399.

So, The selling price of computer will become 95 percent of $ 1399 which equals  $1329.05.

Thus Paul sold the computer at a profit of $1329.05 - $1064

= $265.04.

Answer:

A) selling price of computer is $1329.05

B) Profit is $265.05

C) Profit percentage = 24.9%

Step-by-step explanation:

Given as :

The cost price of computer = c.p = $1064

The marked price of computer = m.p = $1399

The marked percentage discount = d = 5%

Let The selling price of computer = s.p

Now, According to question

discount% = [tex]\dfrac{m.p - s.p}{m.p}[/tex]

Or, d% =  [tex]\dfrac{m.p - s.p}{m.p}[/tex]

Or, 5% =  [tex]\dfrac{1399 - s.p}{1399}[/tex]

Or,  [tex]\dfrac{5}{100}[/tex] = 1 -  [tex]\dfrac{s.p}{1399}[/tex]

Or,  [tex]\dfrac{s.p}{1399}[/tex] = 1 - [tex]\dfrac{5}{100}[/tex]

Or,  [tex]\dfrac{s.p}{1399}[/tex] =  [tex]\dfrac{95}{100}[/tex]

∴  s.p = [tex]\dfrac{95}{100}[/tex] × 1399

Or, s.p = $1329.05

So,The selling price of computer = s.p = $1329.05

Now, Profit = selling price - cost price

or, p = s.p - c.p

Or, p = $1329.05 - $1064

∴ Profit = $265.05

Now, Profit % = [tex]\dfrac{\textrm profit}{c.p}[/tex]

Or, p% =  [tex]\dfrac{\textrm 265.05}{1064}[/tex]

∴  p% = 0.249

i.e p = 0.249 × 100

So, profit percentage = 24.9%

Hence, A) selling price of computer is $1329.05

B) Profit is $265.05

C) Profit percentage = 24.9%    Answer

Answer:

The separated values of x and y from the given equation is [tex]x=\frac{13-3y}{4}, y=1-\frac{4}{13}x[/tex]

Step-by-step explanation:

Given equation is [tex]4 x+3y=13[/tex]

Now to find the separated values of x and y with the given equation.

Now find the value of x and so we have to separate the value x from the given equation

[tex]4x+3y=13[/tex]

[tex]4x=13=3y[/tex]

[tex]x=\frac{13-3y}{4}[/tex]

Therfore [tex]x=\frac{13-3y}{4}[/tex]

Now find the value of y and so we have to separate the value y from the given equation

[tex]4x+13y=13[/tex]

[tex]13y=13-4x[/tex]

[tex]y=\frac{13-4x}{13}[/tex]

[tex]y=\frac{13}{13}-\frac{4x}{13}[/tex]

[tex]y=1-\frac{4}{13}[/tex]

Therefore [tex]y=1\frac{4}{13}x[/tex]

The separated values of x and y from the given equation is

[tex]x=\frac{13-3y}{4}, y=1-\frac{4}{13}x[/tex]

Answer:

The value of x will be an interger above or equal to 0. The value of y will be a interger equal or above 0.

Step-by-step explanation:

You can never buy a negative amount of books (x). You can only spend a positive amount of money. So even if she did not buy a book it would be 0, never under it.

Answer: it's the 2nd one

Step-by-step explanation: The value of x can be any real number greater than or equal to 0, and y will be a real number greater than or equal to 0

Answer: 2x6x3=36 divided by 4=9+1=10.

The expression (2x6x3) ÷ 4 + 1 Grinch's plus two is solved using the order of operations, giving a result of 10 plus two Grinch's, symbolized as 10 + 2G.

The question is a basic arithmetic problem that involves both multiplication and addition within parentheses, followed by division and then more addition.

The order of operations, often abbreviated as PEMDAS - which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right) - must be followed to solve the expression correctly.

Let's solve the expression step by step:

The final answer is 10 plus two Grinch's, which we write as 10 + 2G.

Answer: -2n + -18

Explanation: Let's simplify this problem using the distributive property.

The first thing we want to do is to distribute or multiply the -2 by each of the terms inside the set of parentheses.

So we get -2 (n) + -2 (9) and this simplifies to -2n + -18.

Answer:

Let us take 'a' in the place of 'y' so the equation becomes

(y+x) (ax+b)

Step-by-step explanation:

Step 1:

(a + x) (ax + b)

Step 2: Proof

Checking polynomial identity.

(ax+b )(x+a) = FOIL

(ax+b)(x+a)

ax^2+a^2x is the First Term in the FOIL

ax^2 + a^2x + bx + ab

(ax+b)(x+a)+bx+ab is the Second Term in the FOIL

Add both expressions together from First and Second Term  

= ax^2 + a^2x + bx + ab

Step 3: Proof

(ax+b)(x+a) = ax^2 + a^2x + bx + ab

Identity is Found .

Trying with numbers now

(ax+b)(x+a) = ax^2 + a^2x + bx + ab

((2*5)+8)(5+2) =(2*5^2)+(2^2*5)+(8*5)+(2*8)

((10)+8)(7) =(2*25)+(4*5)+(40)+(16)

(18)(7) =(50)+(20)+(56)

126 =126

1 box holds 9 so u divide 108 by 9 to get 12.

U can also multiply 3 and 27 until u get 108.  First divide 108 by 27 and get 4. so u then multiply 4 times 3 to get 12.

Answer:

Step-by-step explanation:

No of books that 3 boxes can hold = 27 books

No of boxes required =(3/27) * 108 = 3*108 / 27 =  3 *4 = 12

12 boxes are required

Answer:

$210

Explanation:

175/15 = 11.67

11.67x18 = 210

The amount of money that employees earn in 18 hours with the same rate of change will be $210.

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

An employee earns $175 for 15 hours of work.

Per hour earning = $175/15

Earning in 18 hours will be, 175/15 x 18 = $210

Hence "The amount of money that employees earn in 18 hours with the same rate of change will be $210".

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Answer:

4.80 rounded

Step-by-step explanation:

Answer:

Rank 1 - plane.

Rank 2- line.

Rank 3- point.

Step-by-step explanation:

Here,  I have given the ranks based on what includes what.

Rank 1 is given to plane because infinite lines together makes a planes

and infinite points together makes a line.

so, Rank 1 includes both Rank 2 and Rank 3.

Now, Rank 2 is line because it consists of infinite number of points together

and is used to form a plane.

Rank 3 is point as it is the basic thing for any line or plane

See, it is simple, group of points make a line and group of lines make a plane.

visualize it this way,

When you zoom too in a plane, you see a line and when you zoom too in a line, you see a point.

Answer:

6

Step-by-step explanation:

The given expression is,

[tex]\frac{5^{x+2}-5^x }{5^x\times4}[/tex]

Now, we know that,

[tex]a^{m+n} = a^m . a^n[/tex]

Then,

[tex]5^{x+2}=5^x . 5^2[/tex]

So,

[tex]\frac{5^{x+2}-5^x}{5^x\times4}=\frac{5^x.5^2-5^x}{5^x\times4}[/tex]

Now, taking [tex]5^{x}[/tex] common from the numerator of the given expression, then

[tex]\frac{5^{x+2}-5^x}{5^x\times4}=\frac{5^x(5^2-1)}{5^x\times4}[/tex]

[tex]\implies\frac{5^{x+2}-5^x }{5^x\times4}=\frac{5^2-1}{4}[/tex]

[tex]\implies\frac{5^{x+2}-5^x}{5^x\times4}=\frac{5\times5-1}{4}=\frac{25-1}{4}[/tex]

[tex]\implies\frac{5^{x+2}-5^x}{5^x\times4}=\frac{24}{4}=6[/tex]

So, the simplified form of the given expression gives the result 6.

Answer:

C = $5.25g + $45.50

Step-by-step explanation:

The $45.50 is her monthly bill and does not change. The additional fee determines on the amount of gigabytes she used which is undetermined, using the variable g. It cost $5.25 per gigabyte. C is her total/the bill.

Answer:

C = $5.25g + $45.50

Step-by-step explanation:

Answer:

A1(-5,-5)

Step-by-step explanation:

given : A(-6,-2)

simply apply the translation to the coordinates above

A1 ( -6 + 1, -2-3) = A1(-5,-5)

Answer:

The solution for the equation is x equal to -16

Step-by-step explanation:

Let's find the solution for x in the equation given:

x/2 + 3 = -5

Multiplying by 2 at both sides of the equation, we have:

x + 6 = -10

Subtracting 6 at both sides of the equation, we have:

x + 6 - 6 = - 10 - 6

x = - 16

The solution for the equation is x equal to -16

Terms used: multiply, subtract, solution, equal to, equation

To solve the equation x/2 + 3 = -5 for x, subtract 3 from both sides to get x/2 = -8. Then multiply both sides by 2 to isolate x, giving the solution x = -16.

To find the solution for the variable x in the given equation x/2 + 3 = -5, we need to use the inverse operations of addition and division. Firstly, we need to eliminate the +3 from the left-hand side of the equation. We apply the inverse operation to addition which is subtraction. Therefore, we subtract 3 from both sides of the equation. This calculates to: x/2 = -5 -3. This can be simplified to x/2 = -8.

Secondly, to solve for the variable x we then need to remove the division by 2 and to do this, we multiply each side of the equation by 2 (the inverse operation of division) because x divided by 2 multiplied by 2 is equal to x. Hence the new equation becomes: 2*(x/2) = 2*-8 and simplifying gives us x = -16.

This process shows that the solution to the equation x/2 + 3 = -5 is x = -16.

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Answer: $17,875

Step-by-step explanation:

take 27,500 and multiply it by 35% or .35

27500 x .35= 9625

take 9625 and subtract it from the initial value

27500 - 9625= 17875

Answer:

35 × $27500 = $9625

100 1

= $27500-$9625

=$17875

Answer:

There are 126 $1 bills and 21 $5 bills.

Step-by-step explanation:

Given,

Total cash Amount = $231

Solution,

Let the number of $1 bill be 'x'.

And  the number of $5 bill be 'y'.

Now according to question, one-dollar bills is six times of five-dollar bills.

So, we can frame it in equation form as;

[tex]x=6y[/tex]   ⇒ equation 1

Again according to question, there is only one-dollar bills and five-dollar bills, and no change.

That means the total cash amount is in the form of $1 and $5.

So, we can frame the above sentence in equation form as;

[tex]1\times x+5\times y=231\\\\x+5y=231[/tex]⇒ equation 2

Now substituting the value of x in equation 2, we get;

[tex]6y+5y=231\\\\11y=231\\\\y=\frac{231}{11}=21[/tex]

So, [tex]x=6y=6\times 21=126[/tex]

Hence There are 126 $1 bills and 21 $5 bills.

Answer: A

Step-by-step explanation:

The standard form of this complex number is A. 3/13 + 2/13i

=3+2i/9-4(-1)

=3+2i/9+4

=3+2i/13

Complex numbers in mathematics. Complex numbers are numbers expressed in the form of a + ib. Here, a and b are real numbers, and "i" is an imaginary number called "iota". The value of i = (√-1). For example, 2 + 3i is a complex number, 2 is a real number (Re), and 3i is an imaginary number.

Complex numbers are numbers that consist of two parts: real and imaginary. Complex numbers are more complex mathematical components such as algebra. They can be applied to many aspects of real life, especially electronics and electromagnetism.

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A function has an input of -6. The output of function is -13

Solution:

Given that function has a input of -6

To find: output of function

Given function rule is y = 2x - 1

The input of the function is "x" and output of function is "y"

By substituting the given input value of "x" in the function rule, we will get the output of function

y = 2x - 1

Plug in x = -6 in above function rule

y = 2(-6) - 1

y = -12 - 1

y = -13

Therefore the output of function is -13

The distance between 4.81 and 2.25 is 2.56.

Divide 2.56 by 2.

2.56 / 2 = 1.28.

Then multiply 0.38 by 1.28.

128 x 32 = 4096, then move the decimal 4 times to the left.

4096.

The decimal is behind the 6, you need to move the decimal in front of the 4.

Therefore, your result is 0.4096.

Answer:

2x + 45 = 6

Step-by-step explanation:

(2/9)x + 5 = 2/3                        Subtract 5 from both sides

(2/9)x +5-5=2/3-5

(2/9)x = - 4 1/3                          Multiply by 9

2x = -13/3 * 9

2x = -39

x = -19.5

==============

I see. You don't want it solved. Multiply by 9 to clear the fractions.

==============

2x + 45 = 6

==============

Solve it now. It should be easier.

2x = 6 - 45

2x = - 39

x = -19.5

Answer:

B.   -2x2 + 6x + 6.

Step-by-step explanation:

(2x2 + 4x + 3) - (4x2 - 2x-3)   Distribute negative over the parentheses:

= 2x2 + 4x + 3 - 4x2 + 2x + 3

= 2x2 - 4x2 + 4x + 2x + 3 + 3

=  -2x2 + 6x + 6.

The correct answer to the polynomial subtraction question is D. -2x^2 + 6x + 6, obtained by changing the sign of each term in the second polynomial and then combining like terms.

To subtract the given polynomials, we remove the parentheses and change the sign of each term in the second polynomial before combining like terms:

(2x2 + 4x + 3) - (4x2 - 2x - 3)

= 2x2 + 4x + 3 - 4x2 + 2x + 3

Now, combine like terms:

(2x2 - 4x2) + (4x + 2x) + (3 + 3)

= -2x2 + 6x + 6

The correct answer is D. -2x2 + 6x + 6.