If $15.20 is divided among Andrew, Joseph, and Sam so that Joseph has one dollar more than Andrew and Sam has $2.70 more than Joseph, how much money does Andrew have?

30

First you divide 2.95 by .59, which is 5.

Then you multiply 6 by 5, and get 30!

A "⊂-maximal element" in set theory refers to an element in a set that cannot be strictly contained within any other element of the set, indicating a maximum extent or boundary within that set.

In the context of set theory and Tarski's notion of finiteness, a "⊂-maximal element" refers to an element within a set that cannot be strictly contained within any other element of the set. Let's break down the meaning of this term.

Consider a set S and a partial order relation ⊆ (subset relation) defined on the power set P(S) of S. A "⊂-maximal element" u of a set A ⊆ S is an element that is not strictly contained within any other element of A with respect to the subset relation. In other words, there is no element v in A such that u is a proper subset of v.

Formally, for any u ∈ A, if there is no v ∈ A such that u ⊂ v, then u is a ⊂-maximal element of A. This means that u is as large as possible within A and cannot be extended by including additional elements.

In the context of T-finite sets, the existence of a ⊂-maximal element in every nonempty subset of the set guarantees that the set has a well-defined structure and does not continue indefinitely without boundaries.

It ensures that there is a definitive maximum element within each subset, which is a key characteristic of finiteness.

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The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).

We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.

From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:

243 = (9/2)(2(11) + (9-1)d)

243 = 9(22 + 8d)

243 = 198 + 72d

45 = 72d

d = 45/72 = 5/8

Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:

tₙ = a + (n-1)d

t₄ = 11 + (4-1)(5/8)

t₄ = 11 + 3(5/8)

t₄ = 11 + 15/8

t₄ = 88/8 + 15/8

t₄ = 103/8

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Answer:

The next two numbers following:

431

141311

1114111321

311431131211

are:

132114132113111221

AND

11131221141113122113312211

Step-by-step explanation:

I shall explain the pattern below:

431 (just the digits 4, 3, and 1)

141311 (one 4 becomes 14, one 3 becomes 13, one 1 becomes 11 -> looking at each digit of the previous number, 431)

1114111321 (one 1 becomes 11, one 4 becomes 14, one 1 becomes 11, one three becomes 13, two consecutive 1s becomes 21 -> looking at each digit of the previous number, 141311)

311431131211 (three consecutive 1s becomes 31, one 4 becomes 14, 3 more consecutive 1s becomes 31, one 3 becomes 13, one 2 becomes 12, and one 1 becomes 11 -> looking at each digit of the previous number, 1114111321)

NEXT TWO NUMBERS:

one 3 (13), two consecutive 1s (21), one 4 (14), one 3 (13), two consecutive 1s (21), one 3 (13), one 1 (11), one 2 (12), two consecutive 1s (21)

that makes: 132114132113111221

one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 4 (14), one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 3 (13), three consecutive 1s (31), two consecutive 2s (22), one 1 (11)

that makes: 11131221141113122113312211

The rule is that the next number is essentially the previous number with the number of times each digit appears consecutively before each digit of the previous number. I know that sounds convoluted. Hopefully it makes enough sense. Let me know if I should explain more fully.

1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .

The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.

The length of my book in when measured in millimeters is 280 mm.

In centimeters, this is therefore:

= 280 mm / 10 cm /mm

= 28 cm

Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.

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Answer:

f(1)=6

Step-by-step explanation:

f(x)=x+5

f(1)=1+5

f(1)=6

Hopes this helps please mark brainliest

The value of x = 4.3679

Now, According to the question:

Let's Know:

A logarithm (or log) is the mathematical expression used to answer the question: How many times must one “base” number be multiplied by itself to get some other particular number? For instance, how many times must a base of 10 be multiplied by itself to get 1,000? The answer is 3 (1,000 = 10 × 10 × 10).

Given the data is:

5+ln(x-4) = 4

ln(x-4) = 4 - 5

In (x - 4) = -1

x - 4 = \(e^-^1\)

x =  \(e^-^1\) + 4

x = 0.3679 + 4

x = 4.3679

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first off, let's take a peek at the picture above

hmmm the hyperbola is opening sideways, that means it has a horizontal traverse axis, it also means that the positive fraction will be the one with the "x" variable in it.

now, the length of the horizontal traverse axis is 4 units, from vertex to vertex, that means the "a" component of the hyperbola is half that or 2 units, and 2² = 4, with a center at the origin.

\(\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(x- 0)^2}{ 2^2}-\cfrac{(y- 0)^2}{ (\sqrt{3})^2}=1\implies {\Large \begin{array}{llll} \cfrac{x^2}{4}-\cfrac{y^2}{3}=1 \end{array}}\)

The solution to the inequality expression 3/4m > −12 is m > -16

From the question, we have the following parameters that can be used in our computation:

34m>−12

Rewrite properly

So, we have the following expression

3/4m > −12

Multiply both sides of the expression by 4

So, we have the following representation

3m > -48

Divide both sides of the expression by 3

m > -16

Hence, the solution is m > -16

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Answer: (a)- \(0.99\ \text{units}\)

Step-by-step explanation:

Given

Central angle is \(57^{\circ}\)

The radius of the unit circle is \(1\ \text{unit}\)

Arc length is given by

\(\Rightarrow l=\dfrac{\theta}{360^{\circ}}\times 2\pi r\)

Put the values

\(\Rightarrow l=\dfrac{57}{360}\times 2\pi \cdot1\\\\\Rightarrow l=0.99\ \text{units}\)

Answer:

The endpoint coordinates are (3,12)

Step-by-step explanation:\(\frac{5+x^{2} }{2} =4\) \(\frac{-6+y^{2} }{2} = 3\)

You multiply 4 by 2 which gives you 8 and write the equation\(5+x^{2} =8\) then you subtract 5 from 8 to get 3 for the x coordinate.

You multiply 3 by 2 which gives 6 and writhe the equation\(-6+y^{2}=6\) then you substitute the -6 for +6 and add +6 and 6 to get 12 for the y coordinate.

To check use the midpoint formula with coordinates D and your endpoint coordinates\(\frac{5+3}{2}=\frac{8}{2} =4 \\\)  \(\frac{-6+12}{2} =\frac{6}{2} =3\) and you get the answer for the midpoint which is (4,3)

Answer:

The answer is obviously (2³$&8*9ⁿ+⁶7⅞)

the exponent of x in the simplified expression is 10. Let's simplify the expression step by step: \($(x\sqrt{x^3})^4$\)

First, we can simplify the square root:

\($\sqrt{x^3} = x^{3/2}$\)

Now the expression becomes:

\($(x \cdot x^{3/2})^4$\)

When you raise a power to another power, you multiply the exponents:

\($(x^{1} \cdot x^{3/2})^4$\)

Adding the exponents:

\($x^{(1 + 3/2)}^4$\\$x^{(2.5)}^4$\)

Now, when you raise a number to a power and then raise that result to another power, you multiply the exponents:

\($x^{(2.5 \cdot 4)}$$x^{10}$\)

So, the exponent of x in the simplified expression is 10.

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The sum of the two distance is 510km 100m.

Here it is given two distances 493km 43m and 17km 57m.

As we know we can divide, multiply, add or subtract only with the same unit.

Here we have to find the sum of the distance,

493 km 43m + 17km 57m

=( 493 + 17)km (43 + 57)m

=510km 100m

Therefore the sum of the distance is 510km 100m.

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Answer:

First Option (-4,-3)

Step-by-step explanation:

x+2y=-10

-y=3x+15

-4+2(-3)=-10
-10=-10

-3=3(-4)+15
-3=-3

Answer:

7. -7/4, 8. 2, 9. (4, 2), 10. (-2, 3)

Step-by-step explanation:

\(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)  is the equation that will be used for 7 and 8

Answer:

The length of the side of a square is \(\mathbf{x^5}\)

Step-by-step explanation:

Area of square = \(x^{10}\)

We need to find length of the side

The formula used will be:

\(Area\:of\:square=(length)^2\)

Putting value of area of square, we can find length

\(Area\:of\:square=(length)^2\\x^{10}=(length)^2\\Switching\:sides\\(length)^2=x^{10}\\Taking\:square\:root\:on\:both\:sides\\\sqrt{(length)^2}=\sqrt{x^{10}}\\(length)^{\frac{2}{3} }=x^{\frac{10}{2}} \\length=x^5\)

So, length of the side of a square is \(\mathbf{x^5}\)

Answer:

With approximately a half-ounce of aluminum per can, or 32 cans per pound, that makes each one worth about 1.7 cents. Although there are some people making a living collecting cans in the streets, it isn't a good living.

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Mark brainliest

To find the total in the retirement account after 38 years of investing with monthly contributions and an interest rate of 4.99%, we can use the compound interest formula.

The formula for the future value of an investment with regular monthly contributions is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value or the total in the retirement account.

P is the monthly contribution amount.

r is the monthly interest rate (annual interest rate divided by 12).

n is the number of monthly contributions (years invested multiplied by 12).

Let's calculate the total:

P = $225

r = 4.99% / 100 / 12 = 0.0041583 (monthly interest rate)

n = 38 * 12 = 456 (number of monthly contributions)

FV = $225 * [(1 + 0.0041583)^456 - 1] / 0.0041583

Using a financial calculator or spreadsheet, we can evaluate this expression to find the future value or total in the retirement account.

The calculated total may vary depending on the compounding frequency and rounding used.

The bisector angle is angle PQT which is equal to angle RQT.

Angle bisector or a bisector angle is a type of angle obtained after dividing the initial angle into two equal parts.

The bisected angle can be obtained using a pair of compass and a pencil attached to it.

To bisect the given angle RQP; we will take the following steps;

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Answer:

x-2y= -8

Step-by-step explanation:

Answer:

Step-by-step explanation: Part A:

3x−6y=−12;x−2y=−8

Rewrite equations:

x−2y=−8;3x−6y=−12

Step: Solvex−2y=−8for x:

x−2y=−8

x−2y+2y=−8+2y(Add 2y to both sides)

x=2y−8

Step: Substitute2y−8forxin3x−6y=−12:

3x−6y=−12

3(2y−8)−6y=−12

−24=−12(Simplify both sides of the equation)

−24+24=−12+24(Add 24 to both sides)

0=12

Answer:

No solutions.

Part B: the lines are parallel

Answer:

3.5

Step-by-step explanation:

Answer: 3.5

Step-by-step explanation:

Answer:The simplified value: 4.8 divided by 3 or the answer you’ll get from that is 1.6

Step-by-step explanation:

4.2+0.6=4.8 0.9-0.5=0.4 5*0.4=2 3-2=1 4.8 divided by 3

Answer:

The answer is 2.4

Step-by-step explanation:

4.2 + 0.6 divided by 3 minus 5(0.9 minus 0.5) = 2.4

I got it right and used a calculater.

Answer:

88

Step-by-step explanation:

Answer:

-27.27 %

Step-by-step explanation:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((12 - 16.5) / 16.5) * 100 = -27.27 %

27.3%

Find the different:

16.50-12=4.5

Find the percentage reduction:

4.5/16.50×100

=27.27272727

=27.3%(3 sig.fig)

Answer: 2.0431

Step-by-step explanation:

\(\log_{8} 70=\frac{\log 70}{\log 8} \approx 2.0431\)