Rewrite the expressions as a product of two factors 60m - 12n​

The 12th term in the sequence is -26.

Given,

B (n) = -4 – 2(n – 1)

We have to find the 12th term in the sequence:

To find the nth term in an arithmetic sequence:

An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d. The common difference, or d, is the difference between any two consecutive terms in an arithmetic series; it can be calculated by deducting any pair of terms starting with a and an+1.

Here,

First term, a = -4

Common difference, d = -2

nth term = 12

Now, let’s find 12th term

B(n) = -4 -2(n – 1)

B(12) = -4 – 2(12 – 1)

B(12) = -4 -2(11)

B(12) = -4 -22

B(12) = -26

That is, the 12th term in the sequence is -26.

Learn more about arithmetic sequence here:

https://brainly.com/question/11570734

#SPJ1

Answer:

u= 55/17

Step-by-step explanation:

Answer:

Step-by-step explanation:

u/11=5/17 so cross multiplication, 17u=5*11, 17u=55, so u =55/17

Given the perimeter, the length and width of the rectangular planter bed are 35ft and 11ft respectively.

The perimeter of rectangle is expressed as;

P = 2( l + w )

Given the data in the question;

Let 'x' represent the width of the rectangle.

Plug the given values into the above above equation.

P = 2( l + w )

92 = 2( ( 3x + 2 ) + x )

Solve the equation for x.

92 = 2( ( 3x + 2 ) + x )

92 = 6x + 4 + 2x

92 = 8x + 4

8x = 92 - 4

8x = 88

x = 88/8

x = 11

Hence;

Width of the rectangular planter bed = x = 11ft

Length of the rectangular planter bed = 3x+2 = 3(11) + 2 = 33 + 2 = 35ft

Given the perimeter, the length and width of the rectangular planter bed are 35ft and 11ft respectively.

Learn more about rectangles here: brainly.com/question/17043956

#SPJ1

Answer:

Hope this helps

Step-by-step explanation:

350*.06=21

annually 21*7=147

quarterly 21(4*7)=588

monthly 21(12*7)=1764

Answer:

[tex]{ \tt{ \frac{dy}{dx} = yx( x + 3)}} \\ \\ { \tt{ \frac{dy}{y} = \frac{x(x + 3) \: dx}{1} }} \\ \\ { \tt{ \int \frac{dy}{y} = \int( {x}^{2} + 3x) \: dx }} \\ \\ { \tt{ ln(y) = \frac{ {x}^{3} }{3} + \frac{ {3x}^{2} }{2} + c }} \\ \\ [/tex]

The required answer for 1/3 of x is 14 is x = 42.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

1/3 of x is 14

Thus converting it into numerical expression.

So we have,

1/3 of x = 1/3 * x= x/3

Thus is equal to 14

Thus, the equation we get is,

x/3 = 14

To solve the above isolate x on one side and other terms to another.

Thus multiplying whole equation by 3 we get,

3*x/3 = 14*3

Simplifying we get,

x = 42

This is the required answer for the given expression.

Thus, the required answer for 1/3 of x is 14 is x = 42.

To learn more about equations :

https://brainly.com/question/13482978

#SPJ1

In linear equation , The company which has the best buy is company C, they sell 1 lion for $2.77 (highest selling price among the three companies.

What in mathematics is a linear equation?

Company A = 16 lions for $45.60

Price per lion = $45.60 / 16

= $2.85

Company B = 18 lions for $50.76

Price per lion = $50.76 / 18 eagles

= $2.82

Company C = $34.44 for 12 lion

Price per lion = $34.44 / 12 lion

= $2.87

The company which has the best buy is company C, they sell 1 lion for $2.87 (highest selling price among the three companies)

Learn more about linear equation

brainly.com/question/11897796

#SPJ9

Answer:

x=300

Step-by-step explanation:

138=46%x

x=300

hope this helps!

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

46% = 138

100% = 300

The total number of cupcakes sold on that day is 300.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of mocha cupcakes sold in a day = 138

The percentage of mocha cupcakes sold in a day = 46%

The percentage of total cupcakes sold in a day = 100%

Now,

46% = 138

Multiply 100/46.

100/46 x 46% = 100/46 x 138

100% = 300

Thus,

The total number of cupcakes sold on that day is 300.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

Based on the definition of complementary angles, the measure of the other angle, to 1 decimal place, is: 31.4°.

If the sum of two angles equals 90 degrees, they are called complementary angles.

Given:

One angle = 58.6ﾟ

The second angle = 90 - 58.6

The second angle = 31.4°.

Therefore, based on the definition of complementary angles, the measure of the other angle, to 1 decimal place, is: 31.4°.

Learn more about complementary angles on:

https://brainly.com/question/16281260

#SPJ1

The amount of money that Gary can withdraw each month is equal to $4026.18.

Given the following data:

APR is an acronym for annual percentage rate and it can be defined as a measure of an amount of money based on a yearly rate of interest, which a borrower must pay on a loan or credit card.

This ultimately implies that, the annual percentage rate (APR) would be calculated by dividing the rate of interest by twelve (12).

Rate of interest, r = APR/12

Rate of interest, r = 0.05/12

Rate of interest, r = 0.0041667

Next, we would calculate the present value of this ordinary annuity by using this formula:

Present value, PV = [P ÷ [1 - (1 + r)^{-nt}]/r]

Substituting the given parameters into the formula, we have;

Present value = [750,000 ÷ [(1 - (1 + 0.0041667)^{-30 × 12})/0.0041667]

Present value = [750,000 ÷ [(1 - (1.0041667)^{-360})/0.0041667]

Present value = [750,000 ÷ [(1 - 0.2238239)/0.0041667]

Present value = [750,000 ÷ [0.7761761/0.0041667]

Present value = 750,000 ÷ 186.280773754

Present value, PV = $4026.18.

Read more on present value on annuity here: https://brainly.com/question/13373662

#SPJ1

The equation of a line which is perpendicular to [y = (4x - 11)] and passes through the point (-2, 1) will be [(4y + x) = 2].

As per the question statement, a line is perpendicular to [y = (4x - 11)] and passes through the point (-2, 1).

We are required to determine the equation of the above mentioned line.

Now, we know that, the standard equation of a line goes as [y = (mx + c)] where, "m" is the slope of the line while "c" is the y-intercept.

Comparing [y = (4x - 11)] to the standard form, we can identify that (m = 4), i.e., slope of the given line is 4.

Since the products of the slopes of two perpendicular lines is (-1), and considering the slope of our required line to be "m₁", we can say that,

[tex]4*m_{1}=(-1)\\ or,m_{1}=\frac{-1}{4}[/tex]...[since our required line is perpendicular to [y = (4x - 11)]

                        and slope of [y = (4x - 11)] is 4]

That is, slope of our required line is [tex](\frac{-1}{4})[/tex].

Another concept we need to know about forming the equation of a line is that, the equation of a line can be written as  [tex][(y-y_{1})=m(x-x_{1})][/tex], if the line passes through the point (x₁, y₁).

Here, our concerned line passes through the point (-2, 1) and has a slope of [m =  [tex](\frac{-1}{4})[/tex]].

Therefore, equation of our concerned line can be written as

[tex](y-1)=(\frac{-1}{4})[x-(-2)]\\or,(y-1)=(\frac{-1}{4})(x+2)\\or,(y-1)=(\frac{-x}{4})+(\frac{-1}{4}*2)\\ or,(y-1)=(\frac{-x}{4})+(\frac{-1*2}{4})\\or,(y-1)=(\frac{-x}{4})+(\frac{-1}{2})\\or,y=(\frac{-x}{4})+1+(\frac{-1}{2})\\or,y=(\frac{-x}{4})+(1-\frac{1}{2})\\or, y=(\frac{-x}{4})+\frac{1}{2}\\or,4y=(-x)+2\\or,4y+x=2[/tex]

To learn more about Lines, click on the link below.

https://brainly.com/question/21511618

#SPJ1

Answer:

sec 30° + cos 30°

Important trigonometric values

Calculation:

sec 30° + cos 30°

⇒ 2/√3 + √3/2

⇒ (4 + 3)/2 √3

⇒ 7√3/6

∴ 7√3/6

Answer:

-7/18

Step-by-step explanation:

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

( -1/2 × 9/9) + (1/9 × 2/2) = ?

Complete the multiplication and the equation becomes:

-9/18 + 2/18 = ?

Then:

-9+2/18 = -7/18

Therefore:

-1/2 + 1/9 = -7/18

The amount of money left with them is $12,800.

The first step is to determine the amount left after 1/4 of the budget is spent on food stalls.

Budget left : (1 - 1/4) x amount of budget

(1 - 1/4) x 32,000

3/4 x 32,000 = 24,000

The second step is to determine how much of the budget is left after spending on games and activities :

(1 - 3/10) x 24,000

7/10 x 24,000 = 16,800

The third step is to determine how much is left after spending the remainder on gift distribution

(1 - 5/21) x 16,800

16/21 x 16,800 = $12,800

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

#SPJ1

Since at 8am Chris goes out on his moped averaging 15mph, the time Chris catches up with Fadi is at 10 am.

Since Fadi set out at 5am on his bike averaging at 6mph, the distance Fadi travels is d = vt where

So, Fadi's distance d = vt

= 6t

Now, At 8am Chris goes out on his moped averaging 15mph, the distance Chris travels is D = v't' where

So, Chris' distance D = v't'

= 15t'

Also, since Fadl sets out at 5 am on his bike and Chris goes out on his moped at 8 am, Chris sets out 8 am - 5 am = 3 hrs later.

So, Chris' time of travel t' = t - 3

So, Chris' distance D = 15t' = 15(t - 3)

Now, Chris will catch up with Fadi when they both cover the same distance

So, d = D

6t = 15(t - 3)

6t = 15t - 45

6t - 15t = -45

-9t = -45

t = -45/-9

t = 5 hours

Since Chris's time is t' = t - 3, substituting t = 5 into the equation, we have

t' = 5 - 3

= 2 hours

So, Chris catches up with Fadi 2 hours later at 8 am + 2 hours = 10 am.

So, the time Chris catches up with Fadi is at 10 am.

Learn more about time here:

https://brainly.com/question/28042659

#SPJ1

Answer:

vhdvbhahshsh

shsljjhsishhgdddndhd

x = p / (m + n) is factor of algebraic expression .

What does a math factor mean?

mx + nx = p

You can factor x out of the mx + nx.

x(m + n) = p

Now, simply divide by the m + n.

x = p / (m + n)

Learn more about factor

brainly.com/question/24182713

#SPJ9

Answer:

$4.75

Step-by-step explanation:

The two items that Kara bought must be subtracted from the amount of money she had in the beginning; $23.00 − $3.27 − $14.98 = $4.75.

Answer:

after thinking about this thoroughly I've got the answer.

its $19.73

Step-by-step explanation:

23-3.27-14.98=4.75

So the answer is $4.75

The lengths of the three sides are 16 feet, 21 feet, and 27 feet

let the shortest side be x

then the second side would be x+ 5 feet

and the third side would be 2x- 5 feet

as we are provided with the parameter of the deck as 64 feet  

Parameter = sum of all sides

64        = x + (x+5) + (2x-5)

64        = 4x

So, in order to find out the measurement of the sides of the triangular deck we need to solve this linear equation  

64        = 4x

X          = 64/4

X          = 16 feet

Therefore, first side/ shortest side = x= 16 feet

Second side = x+5 = 16+5 = 21 feet

Third side = 2x-5= 2(16) -5 = 27feet

To know more about  linear equation - https://brainly.com/question/11897796

#SPJ9

The difference between the distances flown by these birds is 150 Km.

According to the statement

We have to find that the rate of each birds speed in kilometers per hour.

So, For this purpose, we know that the

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

From the given information:

We have the graph given within the question to understand it please see the image below.

We have to search out the difference within the distances flown by these two birds after 3 hours of flight.

According to the question -

The slope of the road is -

m = 400/5 = 80

The y - intercept of the road is 0.

Therefore  c = 0.

Therefore, the equation of the road are -

y = 80x

The distance covered by Bird 1 is

D[1] = initial distance + 80 x 3 = 250 + 240 = 490 Km.

And

The distance covered by Bird 2 is

D[2] = initial distance + 80 x 3 = 400 + 80 x 3 = 400 + 240 = 640 Km.

Then

difference between the distances flown by these birds is D[2] - D[1] = 640 - 490 = 150 Km.

Therefore, The difference between the distances flown by these birds is 150 Km.

Learn more about Graph here

https://brainly.com/question/14323743

#SPJ1

The sum of the numbers as a product of their GCF is 5 x ( 5 + 7 ).

Given,

25 + 35.

We need to find its GCF and another sum.

It is the greatest factor common to both 25 and 35.

Example: 8 and 24

- 4 x 2 = 8

- 4 x 6 = 24

4 is the GCF.

Find the GCF of 25 and 35.

5 x 5 = 25

5 x 7 = 35

5 is the GCF of 25 and 35.

Now,

25 + 35 = 60

5 x ( 5 + 7 ) = 5 x 12 = 60

The sum of the numbers as a product of their GCF is 5 x ( 5 + 7 )

Thus,

The sum of the numbers as a product of their GCF is 5 x ( 5 + 7 ).

Learn more about Greatest common factor here:

https://brainly.com/question/4072401

#SPJ1

The EFFICIENT points of production in the given graph is represented by Point C and Point B , the correct option is option (d).

The given graph is for skateboards vs Bikes .

We need to find the point representing the Efficient Point of Production.

The Production Possibility Curve points are said to be Efficient when the resources are utilized to the fullest , that means the points on the curve represents the point of Efficiency.

In the given Production Possibility Curve between Skateboards and Bikers the point C and Point B are the Efficient point of production .

Therefore , the Efficient points of production in the given curve are represented by Point C and Point B , the correct option is option (d)

Learn more about Efficient Point Of Production here

https://brainly.com/question/8103430

#SPJ1

Answer:

========================

Let the weekly salary is x.

Since both options end up with same amount, it can be shown as:

The matching choice is C.

Answer: x = 1/7, or around 0.14

Step-by-step explanation: In the equation 6x = 6/7, you have to divide both sides by 6 (as x is multiplied by 6). (6/7)/6 = (6/7) * (1/6), which equals 6/42, thus simplifying to 1/7.

Answer:

10.7142857143

Step-by-step explanation:

Answer:

10.71428

10.71

About 10.7

Hello,

[tex]\boxed{-4} - 3 = - 7[/tex]