Least to greasiest. 1.7 17% 1/4

Answer:

TRUE

Step-by-step explanation:

Angle <A and angle <B are complementary, which means their sum must be = 90

Angle <B and angle <C are supplementary which means their sum must be = 180

Now let's see

m∠A=3x+17, m∠B=55−x, and m∠C=67(x/3−1)

first find the sum of A and B

3x + 17 + 55 - x = 90 add like terms

2x + 72 = 90 subtract 72 from both sides

2x = 18 divide both sides by 2

x = 9

TRUE OR FALSE is asked for

m∠A=44, m∠B=46, and m∠C=134

to find that we just replace c with 9 with every expression given for angles

m<A = 3x + 17

m<A = 3*9 + 17 = 44

m<B =  55 - x

m<B = 55 - 9 = 46

m<C = 134, we don't really need to calculate one by one since the angle are complementary and supplementary.

The answer is TRUE

The statement is true if A and ∠B are complements, while ∠B and ∠C are supplements.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have:

∠A and ∠B are complements, while ∠B and ∠C are supplements.

∠A + ∠B = 90 degree

3x + 17 + 55 - x = 90

2x = 18

x = 9

Angle ∠B and angle ∠C are supplementary:

∠B + ∠C = 180

55 -x + 67(x/3  - 1) = 180

x = 9

Put the value of x and find angles A, B, and C.

m∠A = 44

m∠B = 46

m∠C = 134

∠A + ∠B = 90

∠B + ∠C = 180

The above statement is true.

Thus, the statement is true if A and ∠B are complements, while ∠B and ∠C are supplements.

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Answer

Option A is correct.

B' (15, 6) is the answer.

Explanation

To dilate a given coordinate (x, y) about the origin by a scale factor of n, we will obtain (nx, ny).

So, for the given coordinate (5, 2), dilating by the scale factor of 3, we will obtain

B (5, 2) = B' (5×3, 2×3) = B' (15, 6)

Hope this Helps!!!

Answer: (1,2)

Step-by-step explanation:

1)

x+y=3

y=-x+3

x | 0 | 3 |

y | 3 | 0 |

2)

3x+y=5

y=-3x+5

x | 0 | 2 |

y | 5 | -1 |

Mr. Jones bought approximately 13 pamphlets.

In this problem, we have two types of items: books and pamphlets. Books cost 50¢ and pamphlets cost 15¢ at the book sale.

Let's use variables to represent the quantities we don't know. Let's say Mr. Jones bought x books and y pamphlets.

We are given two pieces of information:
1. Mr. Jones spent $90 on his purchases.
2. He bought 15 more pamphlets than books.

Now, let's set up the equations based on the given information.

First, let's consider the cost equation. The total cost of the books and pamphlets should equal $90.

The cost of x books is 50¢ * x, and the cost of y pamphlets is 15¢ * y. So, the equation becomes:
50x + 15y = 90

Next, let's consider the second piece of information. Mr. Jones bought 15 more pamphlets than books, which means y = x + 15.

Now, we have a system of two equations:
50x + 15y = 90
y = x + 15

To solve this system, we can use substitution or elimination method. Let's use substitution:

Substitute the value of y from the second equation into the first equation:
50x + 15(x + 15) = 90

Simplify the equation:
50x + 15x + 225 = 90
65x + 225 = 90

Subtract 225 from both sides:
65x = 90 - 225
65x = -135

Divide both sides by 65:
x = -135 / 65
x ≈ -2.08

Since we cannot have a negative number of books, we know that x must be a positive whole number. So, let's round x to the nearest whole number:
x ≈ -2

Now, substitute this value of x back into the second equation to find y:
y = x + 15
y ≈ -2 + 15
y ≈ 13

Therefore, Mr. Jones bought approximately 13 pamphlets.

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Using permutation, there are 8 ways to arrange the letters of "millimicron" in order.

What is permutation?

A permutation is a way of arranging objects in a specific order. In mathematics, a permutation of a set is a bijection from the set to itself, where a bijection is a function that maps each element of the set to a unique element of the same set and vice versa.

To find the number of distinguishable ways the letters of the word "millimicron" can be arranged in order, we can use the method of example 9.5.11.

First, we count the number of times each letter appears in the word:

There are 2 "m"s

There are 2 "i"s

There are 2 "l"s

There is 1 "c"

There is 1 "r"

There is 1 "o"

There is 1 "n"

Then, we compute the number of permutations for each group of letters with the same count. The number of permutations of n items, where there are k items of one type, l items of another type, and so on, is given by:

n! / (k! l! ...)

Using this formula, we get:

There are 2! = 2 permutations of the "m"s

There are 2! = 2 permutations of the "i"s

There are 2! = 2 permutations of the "l"s

There is 1! = 1 permutation of the "c"

There is 1! = 1 permutation of the "r"

There is 1! = 1 permutation of the "o"

There is 1! = 1 permutation of the "n"

Therefore, the total number of distinguishable ways the letters of the word "millimicron" can be arranged in order is:

(2!)(2!)(2!)(1!)(1!)(1!)(1!) = 8

So there are 8 ways to arrange the letters of "millimicron" in order.

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\text{Let }b=

Let b=

\,\,\text{the number of hours babysitting}

the number of hours babysitting

\text{Let }l=

Let l=

\,\,\text{the number of hours lifeguarding}

the number of hours lifeguarding

\text{\textquotedblleft at most 17 hours"}\rightarrow \text{17 or fewer hours}

“at most 17 hours"→17 or fewer hours

Use a \le≤ symbol

Therefore the total number of hours worked in both jobs, b+lb+l, must be less than or equal to 17:17:

b+l\le 17

b+l≤17

\text{\textquotedblleft at least \$240"}\rightarrow \text{\$240 or more}

“at least $240"→$240 or more

Use a \ge≥ symbol

Juan makes $12 per hour babysitting, so in bb hours he will make 12b12b dollars. Juan makes $16 per hour lifeguarding, so in ll hours he will make 16l16l dollars. The total amount earned 12b+16l12b+16l must be greater than or equal to \$240:$240:

12b+16l\ge 240

12b+16l≥240

\text{Plug in }\color{green}{3}\text{ for }b\text{ and solve each inequality:}

Plug in 3 for b and solve each inequality:

Juan worked 3 hours babysitting

\begin{aligned}b+l\le 17\hspace{10px}\text{and}\hspace{10px}&12b+16l\ge 240 \\ \color{green}{3}+l\le 17\hspace{10px}\text{and}\hspace{10px}&12\left(\color{green}{3}\right)+16l\ge 240 \\ l\le 14\hspace{10px}\text{and}\hspace{10px}&36+16l\ge 240 \\ \hspace{10px}&16l\ge 204 \\ \hspace{10px}&l\ge 12.75 \\ \end{aligned}

b+l≤17and

3+l≤17and

l≤14and

​  

12b+16l≥240

12(3)+16l≥240

36+16l≥240

16l≥204

l≥12.75

​  

\text{The values of }l\text{ that make BOTH inequalities true are:}

The values of l that make BOTH inequalities true are:

\{13,\ 14\}

{13, 14}

\text{(the final answer is this entire list)}

(the final answer is this entire list)

The solution to the given differential equation is y = C₁ * (x + 8)⁻² + C₂ * (x + 8)⁻⁷ where C₁ and C₂ are constants determined by the initial or boundary conditions.

To solve the given differential equation, (x + 8)²y" - B(x + 8)y' + 14y = 0, using Y = (X - X₀)m, follow these steps:

1. Substitute Y = (X - X₀)m into the differential equation: (X - X₀ + 8)^2m" - B(X - X₀ + 8)m' + 14m = 0.
2. Solve for m: m" - (B/((X - X₀) + 8))m' + (14/((X - X₀) + 8)²)m = 0.
3. Find the general solution for m: m = C₁\(e^(r1X)\) + C₂\(e^(r2X)\), where r₁ and r₂ are the roots of the characteristic equation, and C₁ and C₂ are constants.
4. Determine the roots of the characteristic equation: r₁ and r₂.
5. Substitute the roots into the general solution for m.
6. Finally, substitute m back into the original substitution, Y = (X - X₀)m.

y(x), will be a function involving the roots, r₁ and r₂, and constants C₁ and C₂. The explanation involves substituting Y = (X - X₀)m into the differential equation, solving for m, finding the general solution for m, determining the roots of the characteristic equation, and substituting the roots back into the original substitution to find y(x).

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Whenever possible, research should be designed so that the data can be anlyzed using option (a) statistics

-This includes both parametric tests (which assume that the data is normally distributed and meet certain assumptions) and non-parametric tests (which do not make these assumptions and are useful for non-normal data). SPSS is a software program commonly used for statistical analysis, but it is not necessary for conducting statistical analyses.

a. statistics

Research should be designed so that the data can be analyzed using statistics. Statistics provide a set of methods and tools for analyzing and interpreting data, which can help researchers draw meaningful conclusions from their findings. Statistical analysis can be used to identify patterns, trends, and relationships in data, as well as to test hypothesis and make predictions.

Depending on the research question, data type, and sample size, different types of statistical tests may be appropriate. Both parametric and non-parametric tests can be used to analyze data, depending on the assumptions made about the underlying distribution of the data and the level of measurement of the variables. SPSS is a statistical software program that can be used to perform statistical analysis, but it is not necessary for designing research studies or analyzing data.

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Answer:

22.

Step-by-step explanation:

About 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.

Let's represent the number of chicken wings as "x".

The total cost at Buffalo Bart’s Endless Wings would be the sum of the initial cost for sides and a drink ($5.60) and the cost per chicken wing ($0.40 per wing times x):

Total cost at Buffalo Bart’s Endless Wings = $5.60 + $0.40x

The total cost at The Spicy Chicken would be the sum of the initial cost for sides and a drink ($10) and the cost per chicken wing ($0.20 per wing times x):

Total cost at The Spicy Chicken = $10 + $0.20x

To find the number of chicken wings where the total costs are the same, we'll set up an equation:

$5.60 + $0.40x = $10 + $0.20x

Now, solve for "x":

$0.40x - $0.20x = $10 - $5.60

$0.20x = $4.40

Divide both sides by $0.20:

x = $4.40 / $0.20

x = 22

So, about 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.

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There is 15 bars in each case.

Subtract 8 from 143 and you get 135.

Divide 135 by 9 and you get 15 :)

Answer:

143 - 8 = 135

Then 135 ÷ 9 = 15

Answer 15 bars in each case.

Answer:

A - 1.2

Step-by-step explanation:

Answer:

The probability that they each will catch 3 fish is 0.000063956

Step-by-step explanation:

The hyper geometric distribution is used to solve this as it has a population, a sample , number of successes  for both the population and sample.

Here

Population size= N =200

Sample size= n =9= (3*3)

Number of successes in population = k = 3 hours

Number of successes in sample = x= 3

Applying the hyper geometric distribution

P (x=3) = kCx *(N-k) C (n-x)/ N Cn

   = 3 C 3 * 197 C 6/ 200 C 9

    =0.000063956

The probability that they each will catch 3 fish is 0.000063956

Answer:

5

Step-by-step explanation:

because you would have to do 15/3, which is 5

the one doesnt count because it has no value

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The Decision rule for rejecting the null hypothesis, Z > 1.28

What is Null Hypothesis?

The null hypothesis is a common statistical theory that asserts that no statistical link or significance exists between two sets of observed data and measured phenomena based on a single observed variable.

Given,

Sample Voters - 800

Residents Favored Construction - 64%

Percentage of residents who favour construction is more than 60%.

This is right tailed test, for α = 0.1

Critical Value Z is 1.28

Hence reject h0 if Z >1.28

Z > 1.28 is the decision rule for rejecting the null hypothesis at the 0.10 level

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An effective sampling method is not cast doubt on the usefulness of the sample

The effective sample is a calculation of the approximate sample size needed to obtain the same degree of accuracy as a simple random sample. It is denoted mathematically by the formula n/D, where n represents the sample size and D denotes the design effect. It is employed as a means of condensing the volume of data.

Effective sample size calculations are mostly used for qualitative analyses of the sample size. The sample size calculates the total number of measurements or observations made during an experiment or survey. The effective sample size—rather than the actual sample size—is utilized in this assessment since it is thought that a sample size of 30 is necessary for an analysis to be valid.

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The first derivatives for the given functions are:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For  \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.

For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.

For the function\(y = 3x^2 + 5x + 10:\)

Taking the derivative term by term:

\(d/dx (3x^2) = 6x\)

d/dx (5x) = 5

d/dx (10) = 0

Therefore, the first derivative is:

dy/dx = 6x + 5

For the function y = 100200x + 7x:

Taking the derivative term by term:

d/dx (100200x) = 100200

d/dx (7x) = 7

Therefore, the first derivative is:

dy/dx = 100200 + 7 = 100207

For the function \(y = ln(9x^4):\)

Using the chain rule, the derivative of ln(u) is du/dx divided by u:

dy/dx = (1/u) \(\times\) du/dx

Let's differentiate the function using the chain rule:

\(u = 9x^4\)

\(du/dx = d/dx (9x^4) = 36x^3\)

Now, substitute the values back into the derivative formula:

\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)

Therefore, the first derivative is:

dy/dx = 4/x

To summarize:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For y = 100200x + 7x, the first derivative is dy/dx = 100207.

For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

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Answer:

width = 12 ft

Step-by-step explanation:

A = w * l

w = a/ 1 = 204/ 17 = 12 ft

Answer:

sorry

i

dont

know

how

to

do

it

Step-by-step explanation:

Answer:

just open a spreadsheet and put the numbers of students in one line, and the hours worked on another, and select all and create a graph

Step-by-step explanation:

Answer:

[3,∞)

3 ≤y<∞

Step-by-step explanation:

The range is the values the output takes

The y value goes from 3 ( includes 3) to positive infinity

[3,∞)

3 ≤y<∞

The corresponding parts are as follows;

Angle ATS = Angle ABC

side AS = side AC

Angle SAT = Angle CAB

Angle AST = Angle ACB

Side AT = Side AB

ΔABC ~  ΔDEF  only if ratio of two sides of ΔABC and corresponding two sides of ΔDEF is equal and the angle included in both sides are congruent.

Suppose the two sides of ΔABC are AB and BC, and that of DEF be DE and EF.

For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.

We are given the similar triangles as;

ΔACB =  ΔAST

Angle ATS = Angle ABC

side AS = side AC

Angle SAT = Angle CAB

Angle AST = Angle ACB

Side AT = Side AB

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The present value that must be invested to get $2500 after 6 years at a simple interest rate of 11.0% is $1509.64.

In this case, we know the final amount that we want to have after 6 years, which is $2500. We also know the interest rate, which is 11.0%. What we need to find is the principal amount, which is the present value that we must invest now to achieve the desired future value.

Using the formula for simple interest, we can rearrange it to solve for the principal:

Principal = Simple Interest / (Rate x Time)

We know that the simple interest is the difference between the final amount and the principal amount. Therefore, we can substitute the values into the formula:

$2500 - Principal = (Principal x 0.11 x 6)

Simplifying the equation, we get:

$2500 = Principal + (0.66 x Principal)

$2500 = 1.66 x Principal

Dividing both sides by 1.66, we get:

Principal = $1509.64

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The 1000th term in Cai's list is 1505.

A writing system used to express numbers is known as a number system. It is the mathematical notation used to consistently express the numbers in a particular set using digits or other symbols. It represents the arithmetic and algebraic structure of the numbers and offers a distinctive representation for each number.

Now, For the 1000th term in Cai's list of positive integers excluding squares and cubes, we need to continue the sequence until we reach the 1000th term.

Starting with 2, we skip 1 and 4 (which is 2 squared),

so 3 is the third positive integer.

Next, we skip 8 (which is 2 cubed) and include 5, 6, and 7.

Skipping 9 (which is 3 squared), we add 10 and 11.

Skipping 16 (which is 2 to the fourth power), we include 12, 13, 14, and 15.

Skipping 25 (which is 5 squared), we add 17, 18, 19, 20, 21, 22, 23, and 24.

Skipping 27 (which is 3 cubed), we add 26 and 28.

Skipping 36 (which is 6 squared), we include 29, 30, 31, 32, 33, 34, 35, and 37.

Skipping 49 (which is 7 squared), we add 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, and 48.

Skipping 64 (which is 2 to the sixth power), we include 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, and 63.

Skipping 81 (which is 3 to the fourth power), we add 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, and 89.

Skipping 100 (which is 10 squared), we include 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 101, and so on.

By the time we reach the 1000th term, we will have found the first 999 positive integers excluding squares and cubes.

Therefore, the 1000th term in Cai's list is 1505.

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The Laplace transform is a mathematical technique used to solve differential equations and analyze signals and systems in engineering, physics, and other fields. It is named after the French mathematician Pierre-Simon Laplace.

The Laplace transform of the given initial value problem is given by:

Y(s) = (2s^2 + 16) / (s^2(s^2+16))

Inverting the Laplace transform to find y(t) gives us:

y(t) = e^(-8t) * (1-cos(4t)) + 2sin(4t) + u2(t)

Where u2(t) is the Heaviside function that turns on at t = 2.

To find the Laplace transform of y(t), we first take the Laplace transform of both sides of the differential equation:

L(y''(t)) + 16L(y(t)) = L(e^(-2t)u_2(t))

Using the property L(y''(t)) = s^2Y(s) - sy(0) - y'(0) and noting that y(0) = 0 and y'(0) = 0, we can simplify to get:

s^2Y(s) + 16Y(s) = L(e^(-2t)u_2(t))

Using the property L(e^(-at)u_c(t)) = 1/(s + a) * e^(-cs), we can substitute to get:

s^2Y(s) + 16Y(s) = 1/(s + 2)^2

Now we can solve for Y(s):

Y(s) = 1/(s^2 + 16) * 1/(s + 2)^2

To find y(t), we need to take the inverse Laplace transform of Y(s). We can use partial fraction decomposition to simplify the expression:

Y(s) = A/(s^2 + 16) + B/(s + 2) + C/(s + 2)^2

Multiplying both sides by the denominator and solving for A, B, and C, we get:

A = 1/8

B = -1/4

C = 1/8

Substituting these values, we get:

Y(s) = 1/8 * 1/(s^2 + 16) - 1/4 * 1/(s + 2) + 1/8 * 1/(s + 2)^2

Taking the inverse Laplace transform of each term, we get:

y(t) = (1/8)sin(4t) - (1/4)e^(-2t) + (1/4)te^(-2t)

Therefore, the solution to the initial value problem y'' + 16y = e^(-2t)u_2(t), y(0) = 0, y'(0) = 0 is y(t) = (1/8)sin(4t) - (1/4)e^(-2t) + (1/4)te^(-2t).

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The required length of the right rectangular prism is 18 in whose volume is 540 cu. in

Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces). The prism's faces are all rectangular in form. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its form. A rectangular prism may be found in everyday objects like a geometry box, notebooks, diaries, and rooms.

Rectangular prism characteristics

There are two categories into which rectangular prisms can be divided. These are:

A rectangular prism is a prism with rectangular bases. A right rectangular prism is a prism with six rectangle-shaped faces with angles that are all right angles.

Vertices of a rectangular prism = 8

Edges of a rectangular prism = 12

Faces of a rectangular prism= 6 (including bases)

total volume of the prism = 540 cubic inches.

Width = 6 in

Height = 5 in

We know volume is length * breadth* height

⇒ 540 = 5*6* length

⇒length = 18 in

The required length of the right rectangular prism is 18 in.

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The speed of current and average speed of paddling is 3 and 7 respectively.

Let p represents paddling speed of kayack guide  and c represents speed of current.

If paddling downstream, the total speed is p + c because you’re paddling with the current. Similarly, if paddling upstream, the total speed is p - c because you would be paddling against the current.

Since paddling downstream took  2 hours so distance covered 2*(p + c)

which is equal to 20 miles.

2*(p + c) =20.

p + c = 10. -----i

Paddling upstream took 4 hours so distance covered 4*(p-c).

which is equal to 16 miles.

4*(p-c) = 16.

p - c = 4.  -------ii

adding both equation c will be cancelled. 2*p=14 p =7.

put value of p in equation i.

7 + c = 10  ,c = 3.

So the speed of current and average speed of paddling is 3 and 7 respectively.

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0.91 as a percent is 91%

Answer:

91%

Step-by-step explanation:

0.91 = 91/100 = 91%

Answer:

\( \frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)} \)

Step-by-step explanation:

Given the rational expression: \( \frac{2x + 3}{x^2 - 5x + 4} \), to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

\( x^2 - 5x + 4 \)

\( x^2 - 4x - x + 4 \)

\( (x^2 - 4x) - (x + 4) \)

\( x(x - 4) - 1(x - 4) \)

\( (x- 1)(x - 4) \)

Thus, we now have: \( \frac{2x + 3}{(x- 1)(x - 4)} \)

Step 2: Apply the concept of Partial Fraction

Let,

\( \frac{2x + 3}{(x- 1)(x - 4)} \) = \( \frac{A}{x- 1} + \frac{B}{x - 4} \)

Multiply both sides by (x - 1)(x - 4)

\( \frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4) \) = \( (\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4) \)

\( 2x + 3 = A(x - 4) + B(x - 1) \)

Step 3:

Substituting x = 4 in \( 2x + 3 = A(x - 4) + B(x - 1) \)

\( 2(4) + 3 = A(4 - 4) + B(4 - 1) \)

\( 8 + 3 = A(0) + B(3) \)

\( 11 = 3B \)

\( \frac{11}{3} = B \)

\( B = \frac{11}{3} \)

Substituting x = 1 in \( 2x + 3 = A(x - 4) + B(x - 1) \)

\( 2(1) + 3 = A(1 - 4) + B(1 - 1) \)

\( 2 + 3 = A(-3) + B(0) \)

\( 5 = -3A \)

\( \frac{5}{-3} = \frac{-3A}{-3} \)

\( A = -\frac{5}{3} \)

Step 4: Plug in the values of A and B into the original equation in step 2

\( \frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4} \)

\( \frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)} \)

Answer:

Step-by-step explanation:

Given the rational expression: , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

Thus, we now have:

Step 2: Apply the concept of Partial Fraction

Let,

=

Multiply both sides by (x - 1)(x - 4)

=

Step 3:

Substituting x = 4 in

Substituting x = 1 in

Step 4: Plug in the values of A and B into the original equation in step 2

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Equivalent equations are systems of equations that have the same solutions. Identifying and solving equivalent equations is a valuable skill, not only in algebra class but also in everyday life. Take a look at examples of equivalent equations, how to solve them for one or more variables, and how you might use this skill outside a classroom. Putting these rules into practice, determine whether these two equations are equivalent: 1. x + 2 = 7 2. 2x + 1 = 11 To solve this, you need to find "x" for each equation. If "x" is the same for both equations, then they are equivalent.