If you get an identity when trying to solve a system of two linear equations, the system's graph
must be
a) two parallel lines
b) two lines that are the same
c) two intersecting lines
d) two perpendicular lines
e) None of the above

Answer:

-3x - 7 is the answer

Step-by-step explanation:

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[tex]\textcopyright ELIZA[/tex]

The probability that exactly three of them work full time is 0.25.

It should be noted that from the information, we want to find P(X = 3).

This will be illustrated as:.

12C3(1 - 22%)^9(0.22)³

= 220(0.78)^9(0.22)³

= 0.250

Therefore, the probability that exactly three of them work full time is 0.25.

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Solution of log₅x = log₃20 is , x = [tex]5^{log_3(20)}[/tex]

In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as  .

[tex]log_ax =N[/tex]

where, a is the base of function or equation

          x define expression

There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.

Some important formulas of logarithms are :

Change of base formula generally use to change the logarithm base to another base.

The formula for base change is :

[tex]log_bx = \frac{log_cx}{log_cb}[/tex]

where, c is the new base.

In the given question,

log₅x = log₃20

using base change this can be written as :

[tex]\frac{log_{10}x}{log_{10}5} = \frac{log_{10}20}{log_{10}3} \\\\= > log_{10}(x) = \frac{log_{10}20 . log_{10}5}{log_{10}3}\\ \\= > x = 5^{log_320}[/tex]

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Answer: 17.5

Step-by-step explanation: If the question is (35/6) * 3. Then it is 17.5

[tex]\frac{35}{6}*\frac{3}{1} = \frac{105}{6} = \frac{35}{2}[/tex]

which is 17.5 in decimal form

Answer:

11 1/2

Step-by-step explanation:

3 5/6x 3

multiply 3 by the denominator then add 5

so 3x6=18/6+5/6= 23/6 x 3

so 23/6 x 3/1 = 69/6

simplify 69/6 = 11 3/6 or 11 1/2

Answer:

The length would have to be 9, and the width 1

Step-by-step explanation:

l*W 9*1=9

Answer:

Step-by-step explanation:

Givens

Smallest odd number = 2x + 1   The one guarantees that the number is odd. The 2 in front of the x makes sure it is even to start with.

The larger odd number is 2x + 3.

Equation

2x + 1 + 3(2x + 3) = 330                    Remove the Brackets

2x + 1 + 6x + 9 = 330                       Combine

8x + 10 = 330                                  Subtract 10 from both sides.

8x +10-10 = 330 - 10                        Combine

8x= 320                                           Divide both sides by 8

x = 40

Answer

2x + 1 = 2*40 + 1 = 81

2x + 3 = 2*40 + 3 = 83

The expression for the total number of seats in the center section is 12c² +29c - 8

From the question, we are to determine the expression for the total number of seats in the center section

From the given information,

The theater has a center seating section with 3c + 8 rows and 4c - 1 seats in each row

The number of seats in the center section is the product of 3c + 8 and 4c - 1

Thus,

Number of seats in the center section = (3c + 8)(4c -1)

Number of seats in the center section = 12c² - 3c + 32c - 8

Number of seats in the center section = 12c² +29c - 8

Hence, the expression for the total number of seats in the center section is 12c² +29c - 8

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After solving each system, 7x + 2y = -8, 8y = 4x , the values of x and y are calculated to be -1 and -1/2 respectively.

The given equations, 7x + 2y = -8, and 8y = 4x, are considered to be linear equations as the highest power of the variables in these equations is one.

By rearranging the second equation, the value of x can be found to be,

8y = 4x

x = 8y / 4

x = 2y

Putting the calculated value of x in the second equation,

7x + 2y = -8

7(2y) + 2y = -8

14y + 2y = -8

16y = -8

y = -8/16

y = -1/2

To solve for x, put the calculated value of y in the first equation,

7x + 2y = -8

7x + 2(-1/2) = -8

7x - 1 = -8

7x = -8 + 1

7x = -7

x = -7/7

x = -1

Thus the values of x and y in these systems are calculated to be -1 and -1/2 respectively.

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The nearest hundredth decimal of 11 / 78 = 0.14

11/78 = 0.14102564102564102564102564102564

The nearest hundredth decimal of 11 / 78 =  0.14

A fraction (from Latin: fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common, vulgar, or simple fraction consists of a numerator, displayed above a line (or before a slash like 1⁄2), and a non-zero denominator, displayed below (or after) that line. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.

In positive common fractions, the numerator and denominator are natural numbers. The numerator represents a number of equal parts, and the denominator indicates how many of those parts make up a unit or a whole. The denominator cannot be zero, because zero parts can never make up a whole. For example, in the fraction 3/4, the numerator 3 indicates that the fraction represents 3 equal parts, and the denominator 4 indicates that 4 parts make up a whole. The picture to the right illustrates 3/4 of a cake.

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Using substitution method, the solution of the given system of equations is  (-1, 2)

A system of equation can be solved using:

The given system of equations:

y - 3 = x  ............   (1)

4x + y = -2  .............. (2)

To use substitution method, we need to isolate y in equation (1). Add 3 to both sides:

y - 3 + 3 = x + 3

y = x + 3    ............... (3)

Substitute y = x + 3 into equation (2):

4x + y = -2

4x + x + 3 = -2

5x + 3 = -2

5x = -5

 x = -1

Substitute back x = -1 into equation (3)

y = x + 3

   = -1 + 3 = 2

Hence, the solution is (-1, 2)

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I need some help on this, how can I found the single power for this?

1) [tex](-5^{5})^{2}= 9765625[/tex]

2) [tex]\frac{12^{5} \times12^{7} }{-12^{4} } =-429981696[/tex]

Power is

An expression known as "power" denotes the process of repeatedly multiplying a value or integer.[tex]a^{n}[/tex] is often a power where n is the exponent and a is the base.

The amount of times a number has been multiplied by itself is shown by its exponent.

1) Given

[tex](-5^{5})^{2}\\\\[/tex]

Step1: [tex](-5^{5})=-3125[/tex]

Step2:[tex](-5^{5})^{2}=(-3125))^{2}=9765625[/tex]

This is how we will solve the power of [tex](-5^{5})^{2}\\\\[/tex]

2)Given

[tex]\frac{12^{5} \times12^{7} }{-12^{4} }[/tex]

Step1: [tex]12^{5} =248832[/tex]

Step2:[tex]12^{7} =35831808[/tex]

Step3:[tex]-12^{4} =-20736\\[/tex]

Step4: [tex]\frac{12^{5} \times12^{7} }{-12^{4} }=\frac{248831\times35831808}{-20736}[/tex]

Step5: [tex]\frac{12^{5} \times12^{7} }{-12^{4} } =-429981696[/tex]

This is how we will solve the power of [tex]\frac{12^{5} \times12^{7} }{-12^{4} }\\[/tex].

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The final temperature of a winter day at 6 pm will be negative 26.5°Ferenhiet.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

For science class, Guadalupe works on a winter day taking the temperature once every three hours. The temperature was -5.4°F at 9 a.m. The temperature increased by 9.4°F from nine till noon. The temperature dropped 13.6°F between noon and three o'clock. The temperature dropped 16.9°F between 3 and 6 o'clock.

Then the temperature at 6 pm will be

⇒ - 5.4°F + 9.4°F - 13.6°F - 16.9°F

⇒ - 35.9°F + 9.4°F

⇒ - 26.5°F

The temperature at 6 pm will be negative 26.5°F.

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you only have two answer choices but out off the two answer A is most correct.

After solving each system, 4y = 2x , 2x + y = (x/2) + 1 , the values of x and y are calculated to be 0.5 and 0.25 respectively.

The first equation, 4y = 2x is a linear equation whereas the second equation, 2x + y = (x/2) + 1 is considered a rational equation as it contains a fraction.

By rearranging the linear equation, the value of x can be found to be,

4y = 2x

x = 4y ÷ 2

x = 2y

Putting the calculated value of x in the rational equation,

2x + y = (x/2) + 1

2(2y) + y = (2y/2) + 1

4y + y = y + 1

Rearranging,

4y + y - y = 1

4y = 1

y = 1/4 = 0.25

To solve for x, put y = 0.25 in the linear equation as follows,

4y = 2x

4(0.25) = 2x

1 = 2x

x = 1/2 = 0.5

Thus the value of x and y in these systems are calculated to be 0.5 and 0.25 respectively.

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The next fraction in this sequence is 11/14

Given data

1/2, 4/7, 9/14, 5/7,.....

The sequence is an arithmetic sequence and the terms are gotten by successive addition of the common difference

first term + difference = 2nd term

1/2 + d = 4/7

d = 4/7 - 1/2

d = 1/14

finding the fifth term

4th term + difference = 5th term

5/7 + 1/14 = 5th term

5th term = 11/14

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Answer:

[tex] \frac{1}{2} - \frac{2}{15} = \frac{15 - 4}{30} = \frac{11}{30} \\ \\ we \: \: have \: \: to \: \: add \: \: any \: number \: \: which \: \: \\ is \: greater \: \: than \: \frac{11}{30} [/tex]

Answer:

x = -6⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

After calculating the value of x in the all angle sum equation of ΔRST, we have come to find that m∠S = 38°.

An angle is a figure generated by two rays or lines that have a common terminal in Plane Geometry. The term "angle" is derived from the Latin word "angulus," which meaning "corner." The two rays are known as the sides of an angle, while the common terminus is known as the vertex.

The plane angle does not have to be in Euclidean space. Dihedral angles are created by the intersection of two planes in Euclidean or other space. An angle is identified by the symbol "∠". The angle measurement between the two beams can be represented by the Greek letter θ,α, β etc.

We have given that

m∠R = (x+17)°

m∠S = (2x−2)°

m∠T = (5x+5)°

We know all the angles of a triangle add upto 180°

m∠R + m∠S + m∠T = 180°

(x+17)° + (2x−2)° + (5x+5)° =180°

8x + 20 = 180°

8x = 160°

x = 160°/8

x = 20°

And therefore, m∠S = (2(20)−2)°

                                  = (40 - 2)°

                                  = 38°

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Answer:

First, take -5x then turn -5 to a positive 5 like so and add it to -6. So, -6+5= -1, so then take -1 + 4 which will equal 4 which is y.

Y=4

Solution of the literal equation 4y-5x=-6 for y is y = (5/4)x - (3/2).

A literal equation are equations which have two or more unknown variables in them. A literal equation can be solved by adding or subtracting or multiplying or divide by same numbers on both sides of the equation in order to get an expression for the required variable.

Given an literal equation 4y - 5x = -6

We need to solve this equation  for y , means separate y and make its coefficient 1

4y-5x =-6

Adding 5x both sides ⇒ 4y-5x+5x = -6 +5x

                                    ⇒ 4y = 5x-6

Divide both sides by 4 , we get

⇒4y/4 = (5x-6)/4

⇒ y = (5/4)x - (6/4)

⇒ y = (5/4)x - (3/2)

∴The solution for the variable y from the given literal equation  4y-5x=-6 is  y = (5/4)x - (3/2)

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Answer:

G would equal x because she is a guy and needs to poop

Step-by-step explanation:

The probability of spinner pointer not landing on green  is equal to 2/3 .

As given in the question,

Total colors in the spinner is equal to 6

Each color is 2 times

Total number of colored region =6

Number of green region = 2

Probability of pointer landing on green color region denoted by P(G)

Probability is

=(Total number of favourable outcomes) /  (Total number of outcomes )

⇒P(G)=2/6

⇒P(G) =1/3

Probability of pointer not landing on green P(G') =1-P(G)

                                                                            =1-(1/3)

                                                                            =2/3

Therefore, the probability of spinner pointer not landing on green is equal to 2/3.

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Answer:

Step-by-step explanation:

yes I will

Are you not doing school today

Answer:

27:33

Step-by-step explanation:

turn the ratio into an equation by and add 6 to 9x to mae it equal to 11x and solve for x

Answer:

2g+12 = Goran's height

The given expression written in the simplest radical form is 3√5

From the question, we are to write the given expression in the simplest radical form

The given expression is 45^(1/2)

From one of the laws of indices, we have that

[tex]x^{y/n} = \sqrt[n]{x^{y} }[/tex]

Thus,

Applying this rule, the given expression can be written as

√45

Now, we will express the given radical expression in the simplest radical form

Expressing in simplest radical form

√45

= √(9 × 5)

= √9 × √5

= 3 × √5

= 3√5

Hence, the given expression written in the simplest radical form is 3√5

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Answer: 0

Step-by-step explanation:

The slope of the line y = -1/5 is zero because it is a horizontal line.

Parallel lines have the same slope, so the answer is also 0.

Answer:

The answer to this question is 0

Step-by-step explanation:

see attached photo for explanation

Answer:

point slope form:  y - y1 = m (x - x1), where m is slope and x1, y1 is a point the line passes through

here the slope m = 5, and the point x1,y1 = -3,6, so substituting the equation is:

y-6 = 5(x+3)

Step-by-step explanation: