Determine the solutions of the equation: absolute value of the quantity one fourth times x plus 7 end quantity minus 3 equals 24. x = −136 and x = 136 x = −136 and x = 80 x = −112 and x = 80 x = −80 and x = 80

Kareem has 7 more strips of wood siding than vinyl siding.

What is a siding?

A siding is a brief railroad track with one or both ends opening into the main track, used to switch one of two meeting trains until the other has passed. Or a siding is any of a number of different forms of weatherproof face for frame buildings, made up of individual sections fastened together as shingles, plain or shaped boards, various sheet metal components, or other composition materials.

Number of vinyl siding strips = 2623/313 = 8.38 ≈ 8 strips

Number of wooden siding strips = 3334/214 = 15.57 ≈ 15 strips

Therefore, extra strips of wooden siding = 15 - 8 = 7 strips

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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 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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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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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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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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Answer: The absolute value of |-10| is 10

Step-by-step explanation: The absolute value of something is the distance from the point to the 0 unit so from -10 to 0 its 10 units.

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)

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:

2g+12 = Goran's height

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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Step-by-step explanation:

10) [tex]24000(\frac{1}{32} )=\frac{24000}{32} =750[/tex]

             Commission = $750

11) Constant of proportionality (k)

     k =  (Cups of blackberry) / (cups of juice)

                         [tex]k=\frac{4}{1\frac{1}{3} } =\frac{4}{\frac{4}{3} } =\frac{(4)(3)}{4} =\frac{12}{4} =3[/tex]

    3 cups of blackberry for each cup of juice

                          On the table:

   12 cups of black berry required: 12/3 = 4 cups of juice

  8 cups of juice required: (8)(3) = 24 cups of blackberries

12) The equation

     assign: cups of blackberry: b, cups of juice: j

                                   [tex]b=3j[/tex]

Hope this helps

Answer:

The answer to this question is 0

Step-by-step explanation:

see attached photo for explanation

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: 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 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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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:

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

Step-by-step explanation:

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.

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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5y - 3(y + 2)

First distribute:

5y - 3(y + 2)

5y - 3y + 6

Add like terms:

5y - 3y + 6

2y + 6 :)

Answer:

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

Answer:

45x−31

Step-by-step explanation:

Essay writers stink

It's fox season! - Ash the Fox

(Will have new phrase every month!)

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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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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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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C is the correct answer:)