2 1/6* 2 5/6 IN SIMPLEST FORM

Answer:

[tex]a_{16} = 121[/tex].

Step-by-step explanation:

To go from the first term [tex]a_{1}[/tex] of this sequence to the second term [tex]a_{2}[/tex], add [tex]d[/tex] to [tex]a_{1}\![/tex].

To go from the first term [tex]a_{1}[/tex] of this sequence to the third term [tex]a_{3}[/tex], add [tex]2\, d[/tex] to [tex]a_{1}\![/tex].

In general, going from the first term [tex]a_{1}[/tex] of an arithmetic sequence to the [tex]k[/tex]th term, add [tex](k - 1)\, d[/tex] to [tex]a_{1}\![/tex].

Thus, given an arithmetic sequence with [tex]a_{1}[/tex] as the first term and [tex]d[/tex] as the common difference, the [tex]k[/tex]th term of this sequence would be [tex]a_{k} = a_{1} + (k - 1)\, d[/tex].

In this question, [tex]a_{1} = 1[/tex] and [tex]d = 8[/tex] for this arithmetic sequence. The [tex]16[/tex]th term of this sequence would be:

[tex]\begin{aligned}a_{16} &= 1 + (16 - 1) \times 8 \\ &= 1 + 15 \times 8 \\ &= 121\end{aligned}[/tex].

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25 is  [tex]25\frac{75}{825}[/tex]

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(2a - 13) ÷ b/15

The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25.

= (2a - 13) ÷ b/15

= (2 x (-2/5) - 13) ÷ -8.25 / 15

= (-4/5 - 13 ) ÷ -8.25 / 15

= (-4 - 65) / 5 ÷ -8.25 / 15

= -69/5 ÷ -8.25/15

= -69/5 x -15/8.25

= 69 x 3 / 8.25

= 207 / 8.25

= 20700/825

We will write this in a mixed fraction.

= [tex]25\frac{75}{825}[/tex]

Thus,

The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25 is  [tex]25\frac{75}{825}[/tex]

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Answer:

The correct answer is [tex]2 *10^3 ; 2,000[/tex]

Picture to text form: 2 x 10^3 ; 2000

Step-by-step explanation:

The answer you chose is incorrect.

Answer: It would be 2* 10^3; 2000

Step-by-step explanation:

Divide the total number of students in the state by the number of students in the school.

806240 / 400 = 2015.6

The closest number would be 2000, written as 2* 10^3.

Answer:

Step-by-step explanation:

Equation of the line:

Find x when y = 300:

Equate

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 300=15x+8[/tex]

[tex]\\ \sf\longmapsto 300-8=15x[/tex]

[tex]\\ \sf\longmapsto 292=15x[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{292}{15}[/tex]

[tex]\\ \sf\longmapsto x=19.5[/tex]

Step-by-step explanation:

setup a porportion. Make it pages/cards. Solve for the number of pages, p.

[tex] \frac{3}{18} = \frac{p}{234} [/tex]

reduce the fraction 3/18

[tex] \frac{1}{6} = \frac{p}{234} [/tex]

cross multiply

[tex]6p = 234[/tex]

divide by 6

[tex] \frac{6p}{6} = \frac{234}{6} [/tex]

[tex]p = 39 \: pages[/tex]

There are 39 pages he will hold for 234 cards.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent

to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Alexander has Collection of baseball cards which he wants to organize.

Now, By the given table;

The ratios for Pages to cards are,

Number of pages : Number of cards

⇒ 3 : 18

After simply;

⇒ 1 : 6

And, 6 : 36 = 1 : 6

Thus, Let number of pages for the given cards = x

Then, By the definition of ratio we get;

x : 234 = 1 : 6

Solve for x as;

x / 234 = 1/6

x = 234/6

x = 39

Thus, There are 39 pages he will hold for 234 cards.

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Answer:

yorrrrrrrrr wwwweeeeeeellllllllccccccccooooooommmmmmmmmeeeeeeeeeeee

Step-by-step explanation:

tyyg m8

Answer:

$20

Step-by-step explanation:

Divide 40 by 8. Then multiply that answer by 4.

You divide 40 by 8 to see how much 1 car wash takes. Then multiply it by how many cars is in the question.

Answer:

0

Step-by-step explanation:

If there is an even number of 4 and -4s. They should all cancel each other out and equal 0.

Answer: not much help i can barley see the paper

Step-by-step explanation:

Answer:

Surface area = 240.34 square units

Volume = 253.03 cubic units

Rectangular prism

Step-by-step explanation:

2(6.8 * 6.1) + 2(6.1 * 6.1) + 2(61 * 6.8) =

82.96 + 74.42 + 82.96 = 240.34

Volume

(6.8 )(6.1)(6.1) = 253.03

Answer:

m - 19 = 58

Step-by-step explanation:

Knowing that the word "difference" relates to subtraction, you should know that the equation involves a minus sign.

The problem also tells us that 58 is the difference. Basically, the word difference means the answer to a subtraction problem. So 58 is the answer to this equation.

However, we are not done yet. It says to use "m" to represent Matt's age. Thus, we can write our equation as:

m - 19 = 58.

The variable "m" goes first instead of 19 because the answer would no longer be 58. For instance, let's say m is 18, 19-18 is equal to 1...not 58.

Therefore, the correct equation is:

m - 19 = 58

Hope this helps!! :D

Answer:

yes he will

Step-by-step explanation:

Hence, if his parents giving him $[tex]35[/tex] per week then he can purchase his game system.

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

Joe has $[tex]180[/tex] in his bank account he wants to buy a new gaming system for $[tex]250[/tex] in two weeks his parents have offered to lend him money if he needs it he gets $[tex]20[/tex] a week for a allowance

So,

His account saving is $[tex]180[/tex].

He wants to purchase a game system which costs $[tex]250[/tex].

His parents giving $[tex]20[/tex] per week. So iin two weeks it is [tex]20(2)=40[/tex]$.

Then , the total savings he had [tex]180+40=220[/tex]$

So he needs [tex]30[/tex]$ more to purchas his game system

If his parents giving him $[tex]35[/tex] per week then in two weeks it would be [tex]35(2)=70[/tex]$.

Then his total savings are

[tex]180+70=250[/tex]$.

Hence, if his parents giving him $[tex]35[/tex] per week then he can purchase his game system.

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Answer:

2 1/4 - ((2 1/4 * ((3 / 5) + 1 2/3)) / 4 1/5) = 1.03571429

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can observe the figures are mirrored over y- axis.

This is a reflection and the rule is:

Answer:

A lower quartile is the value under which 25% of data points are found when they are arranged in increasing order. A tangent is a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.

Step-by-step explanation:

Answer:

Assuming "x2" is x squared:

5x(x2-4x+2)

(5x(x2)+5x(-4x)+5x(2))

5x^3-20x+10x

For these polynomial multiplication problems, just distribute the number outside the parentheses.

Answer:

[tex]5x^3-20x^2+10x[/tex]

44% discount

(2200 is 44% of 5000)

Answer: the answer is the last one, 2 and one thirds minus two and two thirds

Step-by-step explanation: free the equation from parentheses by multiplying 1/3 by 5x and 8. equals 5/3x - 8/3 + 2/3. Combine x's for 7/3 - 8/3. Convert into mixed numbers fo final equation

Answer:

$202.80

Step-by-step explanation:

y=0.08x+1/20

x=2520

y=0.08x+1.20

0.08*2520+1.20

201.6+1.20

$202.8

Answer:

PLS GIVE BRAINLIEST

Step-by-step explanation:

[tex]50 + 7.50x[/tex]

1. make an equation where x represents hours

[tex]50 + 7.50(5)[/tex]

2. substitute 5 for x

[tex]50 + 37.5[/tex]

3. multiply 7.50 by 5

[tex]87.5[/tex]

4. add 50 and 37.5 to get 87.5

Answer:

$24

Step-by-step explanation:

3 gallons = 24 US pints

24 * $1 = $24

Answer:

The answer should be D

Step-by-step explanation:

sorry if it's wrong, I just did this test the other day and I forgot if I got it right.

The rational function that is represented by the given graph is [tex]f(x) = \frac{4x - 8}{x^{2} +x-6}[/tex]

Rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.

We need to find out which  rational function is represented by this graph.

Firstly, we see that graph does not exist at x = -3 and x = 2.

Thus, (x+3) and (x-2) cannot be equal to 0.

(x + 3)(x - 2) = x² + x - 6

Thus, the denominator of the function is x² + x - 6.

So, our solution can be B. or D.

We can also see that there is a circle over the graph at x = 2. This means that f(x) is undefined at x = 2. It is possible only if f(x) = ∞/∞ or 0/0 at x = 2.

On putting the value of x = 2 in both B. and D., we find that in D. f(x) = 0/0 at x = 2.

[tex]f(2) = \frac{4*2 - 8}{4 + 2 - 6} = \frac{0}{0}[/tex]

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None. There is no solution. None of them are equal. 2 to the fifth power is 32.

Most of them equal to something above 80 or are between 50 and 200.

Answer:

its positive corelation and doesnt show causation

Step-by-step explanation:

Answer:

its positive correlation and cannot show causation

Step-by-step explanation:

Answer is C. Layaway

9514 1404 393

Answer:

   -4

Step-by-step explanation:

On a graph like this where not every grid line is marked with its value, you have to determine the spacing of the grid lines by noting how many are between the values shown. Here, the vertical grid lines are marked on the x-axis with even numbers on every other line. That means the lines not numbered have a value halfway between the values on the lines that are numbered.

The grid line for x = -3 is the one halfway between the grid lines for -2 and -4. Following that line down to where it intersects the function graph, we find the y-coordinate of that (vertex) point to be -4. (It is on a marked horizontal grid line, so you can read the value from the axis scale.)

The value of f(-3) is -4.