Find a 3-by-3 magic square using the numbers 4, 5, 6, 14, 15, 16, 24, 25, and 26.
Fill in the magic square.


Please so work.

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:

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

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:

$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

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:

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

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 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

Answer:

The answer is zero.

Step-by-step explanation:

5.5=-4.5

The statement is false.

Answer: 20%

Step-by-step explanation:

1=100%

1/5=

100%/5=20%

Answer: 20 percent

Step-by-step explanation: how you college level and not know this one

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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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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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 :)

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:

188

Step-by-step explanation:

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:

2131

Step-by-step explanation:

26×9=234

271×7=1897

234+1897=2131

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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Step-by-step explanation:

X+10+4X-12=83

5X-2=83

+2. +2.

5X=85

÷. ÷

5. 5

X=17

Now you plug it in:

(17)+10= 27=ABC°

ABD°=83

4(17)-12= 56 = DBC°

ABD would be the total of ABC and DBC since it's basically those 2 combined.

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

The length of the third part of the rope is 4 feet.

Given that A 48-feet rope is cut into three length. The second length of the rope is twice the first length. The third length of rope is one-fifth the first length

Let's assume the length of the 1st part is "x".

Then the length of the second part is "2x". and the length of the third part is "[tex]\frac{x}{5}[/tex]".

The total length of rope is 48 feet

⇒x+2x+[tex]\frac{x}{5}[/tex]= 48 feet

⇒3x+[tex]\frac{x}{5}[/tex]= 48 feet

⇒[tex]\frac{16x}{5}[/tex]= 48 feet

⇒ x= 20 feet.

Therefore, The length of the third part of the rope is 4 feet.

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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

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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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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