write each subtraction equation as an addition equation

a - 9 = 6

p - 20 = -30

z - (-12) = 15

x - (-7) = -10

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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Answer:

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

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:

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

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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Answer:

The answer to this question is 0

Step-by-step explanation:

see attached photo for explanation

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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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:

Step-by-step explanation:

yes I will

Are you not doing school today

The equation (64^1/2 x 27000^2/3 all over2^-4 x 3^0 x 5^2) is solved to be 9216

Given data

64^1/2 x 27000^2/3 all over2^-4 x 3^0 x 5^2

Rewriting gives:

( 64^1/2 x 27000^2/3 ) / ( 2^-4 x 3^0 x 5^2 )

the solution; we first note that

64^1/2 = √64 = 8

27000^2/3 = ∛27000^2 = 900

3^0 = 1

2^-4 = 1 / 2^4 = 1 / 32

5^2 = 25

substituting gives:

= ( 8 * 900 ) / ( 1/32 * 1 * 25)

= 7200 / 25/32

= 7200/25 * 32

= 288 * 32

= 9216

The equation (64^1/2 x 27000^2/3 all over2^-4 x 3^0 x 5^2) is solved to be 9216

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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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C is the correct answer:)

The slope of the line that contains the given points E(5,4), F(8,1) is -1.

It is given in the question that the line contains the points E(5,4) and F(8,1).

We know that:-

The formula to find the slope of a line that contains points (a,b) and (c,d) is given by:-

m = (d-b)/(c-a)

Here, we have

m = slope of the line

(a,b) = (5,4)

(c,d) = (8,1)

Hence, putting the values of (a,b) and (c,d) , we get

Slope of the line that contains the given points E(5,4), F(8,1) is given by:-

(1-4)/(8-5) = -3/3 = -1

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Answer:

2g+12 = Goran's height

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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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:

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

Step-by-step explanation:

l*W 9*1=9

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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Answer:

45x−31

Step-by-step explanation:

Essay writers stink

It's fox season! - Ash the Fox

(Will have new phrase every month!)

The value of the expression for x = -2,0,1 , and 4 is 17/3, 7, 23/2, 29/3.

Given,

The equation is (2/3)x+7

For x = -2,

the value will be -

(2/3)(-2) + 7

= 17/3

For x = 0

the value will be -

(2/3)(0) + 7

= 7

For x = 1

the value will be -

(2/3)(1) + 7

= 23 / 2

For x = 4

the value will be -

(2/3)(4) + 7

= 29 / 3

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The midpoint is at (6/10 , -7/10 , 4)

In the given statement is

To find the midpoint of the line segment joining the pair of points

G(1,-1,6) and H(1/5,-2/5, 2)

Midpoint:

The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.

m = (A +B)/2

If we are given three points and we wish to find the midpoint of those points, we need to use the midpoint formula m =([tex]\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} , \frac{z_{1}+z_{2} }{2}[/tex]  )

where:

(x1 , y1 ,z1) are the coordinates of the first point:

(x2 , y2 , z2) are the coordinates of the second point:

Now, We are given the three points G(1,-1,6) and H(1/5,-2/5, 2)

Solving for the midpoint , we have,

m = ([tex]\frac{1+\frac{1}{5} }{2} , \frac{-1+(\frac{-2}{5} )}{2} , \frac{6+2}{2}[/tex])

m =(6/10 , -7/10 , 4)

Therefore, the midpoint is at (6/10 , -7/10 , 4)

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A function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable, By the given information, the minimum production cost of company 2 is greater than the minimum production cost of company 1.

an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

company 1: f(x) = 0.25x² - 8x + 600

f(6) = 0.25(6²) - 8(6) + 600 = 9 - 48 + 600 = 561

f(8) = 0.25(8²) - 8(8) + 600 = 16 - 64 + 600 = 552

f(10) = 0.25(10²) - 8(10) + 600 =  25 - 80 + 600 = 545

f(12) = 0.25(12²) - 8(12) + 600 = 36 - 96 + 600 = 540

f(14) = 0.25(14²) - 8(14) + 600 = 49 - 112 + 600 = 537

company 2:    

 x       g(x)        

 6        862.2

 8        856.8

10        855

12        856.8

14        862.2

Now compare f(x) and g(X)

 x       g(x)            f(x)

 6        862.2        561

 8        856.8         552

10        855            545

12        856.8         540

14        862.2         537

Therefore based on the given information, the minimum production cost of company 2 is greater than the minimum production cost of company 1.

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Answer: it's A

Step-by-step explanation:

g(x) at (10, 855)

Answer:

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

Step-by-step explanation:

an=a1+d(n−1) by applying this formula next term of the arithmetic sequence is 8.

See the pattern

2-0 = 2

4-2 = 2

By this we conclude that next term is not 8.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.

Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.

An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.

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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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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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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

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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