Write an explicit formula for the arithmetic sequence:
-2,7,16,25,...

Answer:

So, cost of small size is $7 and cost of large size is $13.

Step-by-step explanation:

Let cost of each small size - x, cost of each large size - y

By the question,

3x + 14y = 203

11x + 11y = 220

From the first equation, we get,

3x + 14y = 203

or, 3x = 203 - 14y

so, x = (203 - 14y)/3

Substituting x's value in second equation :-

11x + 11y = 220

or, 11 { (203 - 14y)/3 } + 11y = 220

or, {2233 - 154y}/3 + 11y = 220

or, { 2233 -154y + 33y} = 660

or, 2233 - 121y = 660

or, 121y = 2233 - 660

or, 121y = 1573

so, y = 1573/121

so, y = 13

Now,

As we know,

x = (203 - 14y)/3

or, x = ( 203 - 14 × 13)/3

or, x = (203 - 182)/3

so, x = 21/3

so, x = 7

So, cost of small size is $7 and cost of large size is $13.

Answer:

  (c)  4x + 2y = 14; x + y = 3

Step-by-step explanation:

The given equation will be the result of eliminating the y-variable from the system. When we do that for the different answer choices, we get ...

Add the two equations: (3x -y) +(x +y) = (15) +(7)  ⇒  4x = 22

Add the two equations: (x +3y) +(-x -3y) = (24) +(16)  ⇒  0 = 40

Subtract twice the second from the first.

  (4x +2y) -2(x +y) = (14) -2(3)  ⇒  2x = 8 . . . . the system we're looking for

Add the two equations: (2x +2y) +(-2x -2y) = (8) +(8)  ⇒  0 = 16

_____

Additional comment

When the equation reduces to 0 = constant, and "constant" is not zero, it means the system of equations has no solution. (The equations describe parallel lines.)

Answer:

quotient: 7084

remainder: 5

Answer

(1 - sin2x)/(sin - 1)

Step-by-step explanation:

tan225° = 1

sin270° = -1

Substitue these values and you get:

(1 - sin2x)/(sin - 1)

Hope this helps!

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \pounds 4000\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ t=years\dotfill &4 \end{cases} \\\\\\ I = (4000)(0.025)(4)\implies I=400[/tex]

Answer:

Step-by-step explanation:

I am assumimg you mean 5/9 and 16/5.

2 irrational numbers between these values are e and π.

Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

Two rational numbers are,

⇒ 5 / 9 and 16 / 5

Now, We get;

⇒ 5 / 9 = 0.5555

⇒ 16 / 5 = 3.2

Hence, Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

Thus, Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

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Step-by-step explanation:

x/15 = y/6

x = 15y/6

x/y = 15/6 = 5/2

Answer:

1) 27/125

2) 12/25

Step-by-step explanation:

3*3*3 = 27

3*5*4= 60, but simplified is 12/25

Answer:

A 1320

Step-by-step explanation:

22 x 60

1320

Answer:

It is irrational and equal to 4square root 2

Answer:

13

Step-by-step explanation:

6+3 x 2-5+(7-1)

6+3 x 2-5+(6)

6+6-5+6

12-5+6

7+6

13

[tex]6 + 3 \times 2 - 5 + (7 - 1)[/tex]

you can follow BODMAS rule where,

B= brackets

O= Order

D= Division

M= Multiplication

A= Addition

S= Subtraction

[tex]6 + 3 \times 2 - 5 + (7 - 1)[/tex]

[tex] = 6 + 3 \times 2 - 5 + 6[/tex]

[tex] = 6 + 6 - 5 + 6[/tex]

[tex] = 12 - 5 + 6[/tex]

[tex] = 7 + 6[/tex]

[tex] = 13[/tex]

Answer:

Step-by-step explanation:

arc EF=90-20=70°

arc FDA=20°

∠ABC==180-20=160°

Answer:

C is the answers for the question

Answer:

Yes it is

Step-by-step explanation:

2/100 = 0.02

You have to move two spaces to the left of 2, as 100 contains two zeroes (u must start counting from 2 and put zeroes along, until u finish counting)

after u finish counting put a 0. in the left of of all the zeroes and the 2

Two similar solids have a surface area of 48ft^2 and 147ft^2 respectively.  If the volume of the smaller solids is 320ft^3 and the volume of the larger solid is 1715 cubics in.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

Two similar solids have a surface area of 48ft^2 and 147ft^2 respectively.

If the volume of the smaller solids is 320ft^3.

Since the solids are similar, the ratio of the surface areas is equal to the square of the scale factor, k.

Thus, k2 = 147 / 48 , or k = 49/16 = 7/4

The ratio of the volumes of the solids is equal to k3, which gives:

V / 320 = (7/4)^3

where V is the volume of the larger solid.

V = 320 x  (7/4)^3

= 1715 cubics in

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If the value of the mean is 79.6923 then the standard deviation is 3.5. Then the correct option is A.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The following table shows the heights, in inches, of the players on the opening-night roster of the 2015-2016 New York Knicks.

84, 80, 87, 75, 77, 79, 80, 74, 76, 80, 80, 82, 82

The mean will be

N = 13

[tex]\mu = \dfrac{84+ 80+ 87+ 75+ 77+ 79+ 80+ 74+ 76+ 80+ 80+ 82+ 82}{13}\\\\\mu = \dfrac{1036}{13}\\\\\mu = 79.6923[/tex]

Then the standard deviation will be

[tex]\sigma = \sqrt{\dfrac{\Sigma _{i=2}^N (x_i - \mu)^2}{N}}\\\\\sigma = \sqrt{\dfrac{(84-79.6923)^2+(80-79.6923)^2+ ..... + (82-79.6923)^2}{13}}\\\\\sigma = 3.4947128281848 \approx 3.5[/tex]

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Let's see

[tex]\\ \rm\dashrightarrow \dfrac{60-55}{60}\times 100[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{5}{60}\times 100[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{50}{6}[/tex]

[tex]\\ \rm\dashrightarrow 8.3\%[/tex]

Answer:

9/36

Step-by-step explanation:

Given :1,2,3,4,5,6

first draw even probability 3/6=1/2

second draw even probability 3/6=1/2

1/2x1/2 or 3/6 x3/6= 1/4 or 9/36

Answer: $15+( 30×the number of months)

The third answer iis right.

Step-by-step explanation: First month you pay 15 And you top up with 30 every month

Answer:

3

Step-by-step explanation

bc you need to look at one month and its 45 each month its 30 + 15

Answer:

200.5ft²

Step-by-step explanation:

According to my calculation this is the answer ..

Answer:

[tex]t_{14}[/tex]= -27

Step-by-step explanation:

a = -1

 and d = -3 - (-1)

            = -2

Basically, [tex]t_{14}[/tex] = a + 13d

                     = -1 + 13 x (-2)

                     = -1 - 26

                     = -27

Answer:

C 61

Step-by-step explanation:

Answer:

Rewrite the equation into the form of "y=mx+b", plot the y-intercept (b), plot the x-intercept(s), then create the line.

Step-by-step explanation:

Example: 2x + y = 1

I hope this helps!

Answer:

5.7×-1.2=-7.14

Step-by-step explanation:

+5.7(×)-1.3

+(×)- = -(it gives a negative answer)

so you multiply 5.7 and 1.3= 7.14

you just add a negative sigh to the ans

answer=-7.14

please consider a brainlest question

Answer:

Yes

Step-by-step explanation

Lines are perpendicular when they have the reprocial slope with the opposite sign.

Yes, the lines having slopes 6 and -1/6 are perpendicular.

The slope of a line is a number that describes  the direction  of the line. The formula of calculating slope is calculated as under:

Slope=[tex](y_{2} -y_{1} )/(x_{2} -x_{1} )[/tex].

We have been given that the slope of line A is 6 and slope of line B is -1/6.

Two lines are seem to be perpendicular to each other if the product of their slopes is equal to -1.

Product=slope of line A * Slope of line B

=6*(-1/6)

=-6/6

=-1

Hence the lines having slopes 6 and -1/6 are perpendicular to each other.

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