identify the set or sets of numbers that belong to -8/5

Answer:

  a = 15/8

Step-by-step explanation:

You want the solution to the two-step linear equation ...

  -1/2 +1/3a = 1/8

When an equation involves fractions, it is often useful to clear fractions by multiplying the equation by their least common denominator. Here, that means we want to multiply the equation by 24.

  -12 +8a = 3 . . . . . . multiply the given equation by 24

  8a = 15 . . . . . . . . add 12

  a = 15/8 . . . . . . divide by the coefficient of the variable

The solution is a=15/8 or 1 7/8.

Answer:

$24,862.96

Step-by-step explanation:

100% = $23,472

105.5% = answer?

To convert a percentage to a decimal, you have to divide by 100:

100% = 1.0

5.5% = 0.055

105.5% = 1.055

1.055 × $23,472 = $24,862.96

Writing the interval [2,6] using​ set-builder notation, is:

{ x | x ∈ R, 2 ≤ x ≤ 6 }

Real numbers (R) include all rational and irrational numbers.

Thus If we need to write the interval [2,6] using​ set-builder notation, we will write as:

{ x | x ∈ R, 2 ≤ x ≤ 6 }

This is interpreted as x belongs to a set of real numbers greater than or equal to 2 but less than or equal to 6

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The number 1 is an unequal number because no whole number can make 1 for example, 2 + 2 does not make 1 but 4. In addition, only decimals can make 1 such as 0.5 + 0.5 = 1. So the number 1 is unequal to whole numbers but not decimals.

Answer:

Yes. The following number are uneven 1,3,5,7,9,ect..

And the following are even numbers 2,4,6,8,10,ect....

Step-by-step explanation:

Hope it helps!! =D

The shelter has a volume of (E) 1108.25ft³.

Formula: V = lwh

Put the values in the formula as follows:

Therefore, (E) 1108.25ft³ is the volume of the shelter.

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The correct question is given below:

Lorie ordered a shed to hold her gardening supplies. The shed had a length of 16.25 ft, a width of 11 ft, and a height of six and one-fifth ft. Determine the volume, V, using the formula V = lwh.

a. 31.45 cubic ft

b. 103.32 cubic ft

c. 983 2 cubic ft J

d. 1.033.2 cubic ft

e. 1108.25

The way around the outside of the cabin is 50 meters

The given parameters are:

Length = 15 meters

Width = 10 meters

The way around the outside of the cabin is the perimeter and it is calculated as

Perimeter = 2 * (Length + Width)

So, we have

Perimeter = 2 * (15 + 10)

Evaluate

Perimeter = 50 meters

Hence, the way around the outside of the cabin is 50 meters

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The simplified value of the exponential expression [tex]16^4 ~and ~16^{17}[/tex]is:

65,536 and 36,893,488,147,419,103,232.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To simplify the exponential expressions, we can use the rule that states:

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

[tex]16^4[/tex]can be simplified as follows:

[tex]16^4[/tex] = 16 x 16 x 16 x 16

[tex]= (2^4) \times (2^4) \times (2^4) \times (2^4)[/tex]

(since 16 = 2^4)

[tex]= 2^{4+4+4+4}\\= 2^{16}\\= 65,536[/tex]

Therefore, [tex]16^4[/tex] simplifies to 65,536.

[tex]16^{17}[/tex] can be simplified as follows:

[tex]= 16^{17} = 16^{16} \times 16^1\\= (2^4)^{16 \times 2^1 }\\= 2^{4\times 16 \times 2^1}\\= 2^{64} \times 2^1\\= 2^{65}[/tex]

Therefore, [tex]16^{17}[/tex] simplifies to 36,893,488,147,419,103,232.

Thus,

The simplified value of the exponential expression [tex]16^4 ~and ~16^{17}[/tex]is:

65,536 and 36,893,488,147,419,103,232.

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There were 70 children in total.

A fraction represents a part of the whole. It comprises of a numerator and a denominator. For example- 3/4 is a fraction. 3/4th of a number means if the number is divided into 4 equal parts, then 3 parts out of these 4 ⇒ 3/4th of the number.

Here, we are given that a piñata spilled open and released 50 pounds of candy.

Each child scooped up 5/7 of a pound of candy.

Let the total number of children be X

Therefore, we will get the following equation-

(5/7) X = 50

X = 50 (7/5)

X = 10 × 7

X = 70

Thus, there were 70 children in all.

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The maximum number of performers in each row so that all the rows are equal in length is 6.

It is given that there are 30 instruments and 18 flag bearers.

Prime factorization of 30 is given by

  [tex]30=2\times3\times5[/tex]

Prime factorization of 18 is given by

   [tex]18=2\times3\times\ 3[/tex]

The prime factorization of 30 and 18 have 2 and 3 as common prime number so HCF will be [tex]2\times3=6[/tex]

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The value of the angles in the triangle is as follows:

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Therefore,

120 = ∠B + ∠C

∠B = 22x + 4

∠C = 15x + 5

120 = 22x + 4 + 15x + 5

120 = 22x + 15x + 4 + 5

120 - 9 = 37x

111 = 37x

divide both sides by 37

111 / 37 = x

x = 3

∠B = 22(3) + 4 = 66 + 4 = 70°

∠C = 15(3) + 5 = 45 + 5 = 50°

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Answer:

x = 3

b = 70

c = 50

Step-by-step explanation:

Find X:

= 3

(22x + 4) + (15x + 5) = 120

22x + 15x = 37

4 + 5 = 9

+9 -9= 0

120 - 9 = 111

111 / 37x = x = 3

Find the measure of angle B:

70

22x + 4

22(3) + 4

22 multiplied by 3 = 66

66 + 4 = 70

Find the measure of angle C:

50

15x + 5

15 (3) + 5

15 times 3 = 45

45 + 5 = 50

Whole worksheet is in the PDF :)

The truth value of 5+6 = 11, then 11-6=5 is "T"

The first statement is  5 + 6 = 11 which is true .

Second statement is  11 - 6 = 5 which is also true .

From the table if both the statements are true then the truth value is "T" .

Hence, truth value of the given statement is T.

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Answer:

y = 3x/7 - 11/7

Step-by-step explanation:

3x/7 - 7y/7 = 11/7

-11/7   +y      -11/7 +y

3x/7 - 11/7 = y

Answer:

188

Step-by-step explanation:

Answer:

9w

Step-by-step explanation:

First: combine like terms

3 - 5w + 12 + 2w - 3

(-5w) + 2w = (-3w)

Second: subtract 3 from 12 (12 - 3)

3 - 3w + 12 - 3

Third: subtract 3w from 3 (3 - 3w)

3 - 3w + 9

Forth: add 9 to w (w + 9)

w + 9

Answer:

9w

Answer:

A. d ≥ -2 3/10

Step-by-step explanation:

-5d + 5 1/2 ≤ 17

-5d + 11/2 ≤ 17

-5d ≤ 17 - 11/2

2(-5d) ≤ 2 × 17 - 2 × 11/2

2(-5d) ≤ 2 × 17 - 11

-10d ≤ 2 × 17 × 11

-10d ≤ 34 - 11

-10d ≤ 23

d ≥ -2 3/10

So A is the answer

The non-permissible replacement for x in this expression is 1.

An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.

Given:

The given expression is

[tex]x=\frac{b^{2} }{5b-5}[/tex]

Non-Permissible Values: values of a variable that make the denominator of a rational expression equal 0.

If the denominator contains a binomial, the non-permissible values can be determined from the factored form of the binomial.

A rational expression is a fraction, where p and q are polynomials, q ≠ 0. A non-permissible value is a value of the variable that causes an expression to be undefined. For a rational expression, this occurs when the denominator is zero.

Inadmissible Values: values of a variable that do NOT make sense in the context of a given problem.

According to given question we have

The expression is

[tex]x=\frac{b^{2} }{5b-5}[/tex]

By definition, the non-permissible replacement for x in this expression, is the value of x that makes the denominator equal to zero.

5b-5=0

5b=5

Divide both sides by 5 we get,

b=1

Therefore, the non-permissible replacement for x in this expression is 1.

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Answer:

The answer is zero.

Step-by-step explanation:

5.5=-4.5

The statement is false.

10296 was the total number of votes in linear equation .

What in mathematics is a linear equation?

The ratio of yes votes to no votes =  8 : 5

the ratio is 8 to 5, the first step is to divide 6336 by 8. That results in 792.

Ratio of yes to no votes = 8 : 5  

total yes votes =  6336 yes

no of yes votes =  6336 / 8  =   792

no of no votes = 792 * 5 = 3960

Since the question is asking the total number of votes, we add the two results ( 3960+6336) which totals 10296.

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Consider the equation,

y = x + 5

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.

In equation y = x + 5, the graph y = x is shifted 5 units towards the negative x-axis.

To graph the equation we determine various points on the line.

When x = 0,

y = x + 5

y = 5

When y = 0,

y = x + 5

0 = x + 5

x = - 5

When x = - 1,

y = x + 5

y = - 1 + 5

y = 4

When x = - 2,

y = x + 5

y = - 2 + 5

y = 3

When x = - 3,

y = x + 5

y = - 3 + 5

y = 2

Therefore, the points on the line y = x + 5 are ( 0, 5), (- 5, 0), ( - 3, 2), ( -1, 4) and ( - 2, 3).

Answer:

After 18 years, Fred would have earned $40,675.05

Step-by-step explanation:

Since we know that Fred has $13,915 and the interest annually (every year) is 6.14%, we can just solve for 18 years.

In the case, the equation would be the following:

13.915 x (1 + 0.0614) ^ 18

This equation would get you $40,675.05

Hope this helped! :D

Answer: ellens stick is 3 inches long you can find this out because you can multiply 3 times nine and it will give you 27 and then boom you have your answer

Step-by-step explanation:

Answer:

The answer is 3cm

Step-by-step explanation:

Length of Finn's stick=27cm

Length of Ellen's stick=n

Acc to given statement:

27=9n

n=27/9

n=3cm

So Ellen's stick is 3cm long

The width of the rectangular painting painted by John is  24.15 inch.

For, the given question;

The perimeter of the rectangular painting painted by the John is 108.56 in.

The formula for the perimeter of the rectangle is;

Perimeter = 2(length + width)

Thus,

2(length + width) = 108.56

The rectangular painting is 5.97 in. taller than it is wide.

It means;

Length = 5.97 + width

Put the value in perimeter.

2(5.97 + width + width) = 108.56

11.94 + 4 width = 108.56

width = 24.155

width = 24.155 (decimal rounded to two decimal places)

Therefore, the width of the painting is 24.15 inch.

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The value of the function (f/g)(x) when x=2 is 2

Function:

The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.

⇒(f/g)(x)=[tex]\frac{f(x)}{g(x)}[/tex]

⇒(f/g)(2)=[tex]\frac{f(2)}{g(2)}[/tex]

Given f(x)=2[tex]x^{2}[/tex] and g(x)=3x-2

⇒(f/g)(2)=[tex]\frac{f(2)}{g(2)}[/tex]

⇒(f/g)(2)=[tex]\frac{2(2)^{2} }{3(2)-2}[/tex]

⇒(f/g)(2)=[tex]\frac{8}{4}[/tex]

⇒(f/g)(2)=2.

Therefore,The value of the function (f/g)(x) when x=2 is 2

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Parking space B covers a greater area.

Here, we are given a parking lot has two types of parking spaces- rectangles and parallelograms, as shown in the figure.

Let us calculate the area of each figure one by one-

Area of rectangle = length × breadth

Here, length = 6 units

breadth = 3 units

Thus, area of rectangle = 6 × 3

= 18 square units

Now, area of a parallelogram = base × height

here, base = 4 units

height = 5 units

Area = 4 × 5

= 20 square units

⇒ the area of the parallelogram is greater than the rectangle

Thus, parking space B covers a greater area.

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Your question was incomplete. Check for the missing figure below.

Answer:

Hi!

[tex]x=5[/tex]

Step-by-step explanation:

[tex]9x-13+13=32+13\\9x=45\\\frac{9x}{9}=\frac{45}{9}\\=5[/tex]

Answer:

the answer is 5

Step-by-step explanation:

9 x 5 -13= 32