2 (n - 1) + 47 = 2 (3n - 1)

Answers

Answer 1

[tex]\\ \sf\longmapsto 2(n-1)+47=2(3n-1)[/tex]

[tex]\\ \sf\longmapsto 2n-2+47=6n-2[/tex]

[tex]\\ \sf\longmapsto 2n+47=6n[/tex]

[tex]\\ \sf\longmapsto 4n=47[/tex]

[tex]\\ \sf\longmapsto n\approx 12[/tex]

Answer 2

Answer:

n = 11.75

Step-by-step explanation:

2(n - 1) + 47 = 2(3n - 1)              Distribute the multiplier

2n - 2 + 47 = 6n - 2                 Combine terms

              47 = 4n                       divide

                n = 11.75


Related Questions

A number n is a prime factor of 28 and 63

Answers

Answer:

7

Step-by-step explanation:

The factors of 28 and 63 are

28 : 1, 2, 4, 7, 14, 28

63 : 1, 3, 7, 9, 21, 63

The common factors are 1 and 7

7 is a prime factor of both 28 and 63

Your deductible expenditures are $8236 for interest on a home mortgage, $3528 for contributions to charity, and $634 for state income taxes. Your filing status entitles you to a standard deduction of $12,200. Should you itemize your deductions rather than claiming the standard deduction? If so, what is the difference?​

Answers

Answer:

yes 198

Step-by-step explanation:

If oranges are sold at ₹45 per dozen, Manu can buy 6 dozens of them with the money he has. Find the decrease in the number of oranges that he can buy if the cost is increased by ₹9 per dozen​

Answers

Answer:

first 45-6=36 and 36×6=216 the answer is 216

Evaluate the expression 8+-9​

Answers

Answer:

8+-9=-1

Step-by-step explanation:

evaluated

Answer:

8+(-9)=8-9=-1

Step-by-step explanation:

to get -9 you multiply -×+ which is -

PLEASE HELP ME!!

use the correct form of ser and use a pronoun

Gabriela _____ mi hermana

Answers

Answer:Gabriela es mi hermana

Step-by-step explanation:

Gabriela es mi hermana

Question
The table below gives the value of a hypothetical $10,000 investment in a certain money market fund. Use a calculator or a
spreadsheet program to find an exponential regression model of the formy - ab' for the data set, and use it to estimate
the value of the investment 12 years after purchase.
Time (years) Value of Investment (USD)
0
10,000
1
11,000
2
12, 100
3
13,310
4
14,641
5
16,105,1
6
17,715.61

Answers

Answer:

  $31,384.28

Step-by-step explanation:

If you're familiar with Pascal's triangle, you probably recognize the digits of the given values match successive lines of that triangle. This immediately suggests that the base of the exponential function is exactly 1.1, and the model can be written immediately as ...

  y = 10000(1.1^x)

For x=12, the value of the investment is predicted to be ...

  y = 10,000(1.1^12) ≈ 31,384.28

The value of the investment 12 years after purchase is predicted to be $31,384.28.

__

In any event, a graphing calculator or spreadsheet can deduce the model for you. The attached calculator output shows it to be as described above.

The points (9,21) and (21,49) form a proportional relationship. Find the slope in fraction form or simplest form. Then use the slope to graph the line.

Answers

Answer:

I think it's -28/-12

Step-by-step explanation:

y-y/x-x

when is a number divisible by 6?

Answers

3 and 2 are divisible
3,2, and 1 are all divisible by 6

Solve 5(x+3) = -2(x-7)
x=-22/7
x=-1/7
x=-8/3
x=1/7 choose one

Answers

Answer:

x=-1/7

Step-by-step explanation:

5x+15=-2x+14

5x+2x=14-15

7x=-1

x=-1/7

Step-by-step explanation:

5(x+3) = -2(x-7)

5x + 15 = -2x + 14

7x = -1

x = -1/7

The radius of a circle measures 10 yards what is the circumference of the circle

Answers

Answer:

62.8 yards

Step-by-step explanation:

The circumference would just be equal to diameter*3.14, and the diameter is 2 times the radius. 2x10=20, and 20x3.14 would equal 62.8 yards.

You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you decide to swim 151515 minutes longer than she does one day at practice.

Answers

Answer:

45

Step-by-step explanation:

15+15+15=45

that would increase her practice time by 45 minutes

so it would basically be 15+15+15 which us 45, so thats how many minutes

just add 15’s

Yoko, Austin, and Dante served a total of 105 orders Monday at the school cafeteria, Yoko served 9 fewer orders than Austin. Dante served 4 times as many
orders as Yoko. How many orders did they each serve?

Answers

Answer:

Austin: [tex]25[/tex]

Dante: [tex]64[/tex]

Yoko: [tex]16[/tex]

Step-by-step explanation:

Total: [tex]105[/tex]

Austin: [tex]y+9[/tex]

Dante: [tex]4y[/tex]

Yoko: [tex]y[/tex]

Equation:

[tex]y+9+4y+y=105\\6y+9=105\\6y=96\\y=16[/tex]

Invisible Steps:

Combine like terms: [tex]y+y+4y=6y[/tex]

Subtract 9 from each side: [tex]6y+9-9=6y[/tex]

                                            [tex]105-9=96[/tex]

Divide by 6 on each side: [tex]6y[/tex] ÷ [tex]6=y[/tex]

                                           [tex]96[/tex] ÷ [tex]6 = 16[/tex]

Anyone able to help with this?

Answers

[tex]W = 23.7°[/tex]

Step-by-step explanation:

The formula given is the statement of Snell's law of refraction. We are given the following:

[tex]I_a = 1.0003[/tex]

[tex]I_w = 1.3[/tex]

[tex]A = 31.5°[/tex]

So we need to find the angle of refraction W. Starting with Snell's law,

[tex]\dfrac{I_w}{I_a} = \dfrac{\sin A}{\sin W} \Rightarrow \sin W = \left(\dfrac{I_a}{I_w}\right)\sin A[/tex]

Plugging in the given values, we get

[tex]\sin W = \left(\dfrac{1.0003}{1.3}\right)\sin{31.5°} = 0.402[/tex]

Solving for the angle W, we then get

[tex]W = \sin^{-1}(0.402) = 23.7°[/tex]

Jalisa buys candles in bulk to sell in her store. Her cost for each candle is $9
. She marks up the candles 85%
. How much does Jalisa charge per candle?

Answers

Answer:

$16.65

Step-by-step explanation:

To turn percentages into coefficients divide by 100, so 85% become .85. She marks them up or adds a cost of 85% so instead of using .85 we use 1.85. so 1.85 times initial cost of candle is 1.85*9=16.65

X is the random number of times a coin with heads probability 1/4 is tossed till the first heads appears, find: g

Answers

Is there more to this question? I feel as if part of it is left out

Did I do 11,7 right ?

Answers

Answer:

Yes

Step-by-step explanation:

Is there anyone that can please help me out with this question as soon as possible?

Answers

Answer:

1. -3 × Equation [A1] --> Equation [B1]

2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]

Step-by-step explanation:

There isn't a very elegant way to do this, you just need to brute force it a little and see which options are completely unreasonable and can be skipped. This is what I managed to figure out:

1. -3 × Equation [A1] --> Equation [B1]

6x × -3 = -18x

-7y × -3 = 21y

14 × -3 = -42

2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]

(4x × 7) + -18x = 28x - 18x = 10x

(-3y × 7) + 21y = -21y + 21y = 0y

(-4 × 7) + -42 = -28 - 42 = -70

I can try to explain more about how I got those if you want, but like I said, there isn't much of a method to it other than trial and error.

Anyone that can answer it right gets 30!

Answers

Answer:

First

Step-by-step explanation:

1.

[tex]\frac{48}{8} + 2^{3} = 6 + 8 = 14[/tex]

[tex]5 + 3^2 = 5 + 9 = 14[/tex]

2.

[tex]9^{2} - 7^{2} = 81 - 63 = 18[/tex]

[tex]\frac{20}{7-2} = \frac{20}{5} = 4[/tex]

3.

[tex]\frac{150}{5^2} = \frac{150}{25} = 6[/tex]

[tex]30 - 4^{2} - 12 = 30 - 16 - 12 = 30 - 28 = 2[/tex]

4.

[tex]\frac{8 - 7}{2} - 12 = 0.5 - 12 = -11.5[/tex]

[tex]22 - 2 * 3 = 22 - 6 = 16[/tex]

Answer:

first and fourth

Step-by-step explanation:

Equate and compare both sides of the equations. If both sides are equal then the equation is true.

48 ÷ 8 + 2³ = 6 + 8 = 14

right side = 5 + 3² = 5 + 9 = 14

This is a true equation

---------------------------------------

9² - 7² = 81 - 49 = 32

right side = 20 ÷ (7 - 2) = 20 ÷ 5 = 4

This is not a true equation

---------------------------------------

[tex]\frac{150}{5^2}[/tex] = [tex]\frac{150}{25}[/tex] = 6

right side = 30 - 4² - 12 = 30 - 16 - 12 = 14 - 12 = 2

This is not a true equation

--------------------------------------------------

[tex]\frac{8(7)}{2}[/tex] - 12 = [tex]\frac{56}{2}[/tex] - 12 = 28 - 12 = 16

right side = 22 - 2 × 3 = 22 - 6 = 16

This is a true equation

Calculate the length of the circumference inscribed in the ABCD trapezium using the data shown in the figure
i need help :(​

Answers

Steps:

From the given figure,

Subtracting AB and DC, so,

[tex]6 - 3 = 3 \: cm[/tex]

As we know that :-

[tex]d = \sqrt{ {5}^{2} - {3}^{2} }[/tex]

[tex]→d = 4 π cm[/tex]

Since:-

[tex]c = πd[/tex]

[tex]c = 4πd[/tex]

So, Answer is 4 π d

Solve the given equations. PLEASE show your work. Tell me if there is no solution or infinite.




17 + 2(1 + 3x) = x - 5(3 - x)

Answers

Answer:

x = 17/5

Step-by-step explanation:

17+2+6x = x-15 +5x

19+6x =16x -15

19+15 = 16x-6x

34 = 10x

34/10= 10x/10

17/5 = x

x = 17/5 or 3 2/3

Find the average rate of change of k(x) = x' over the interval [3, 9].

Answers

Answer:

y=6x×2/4

x=7

thanks for the points

Solve the following system of equations:y=x2−4x+3 y=2x−2

Answers

[tex]y = 2x -2 ~~~~.....(i) \\\\y = x^2 -4 x +3 ~~~~ .....(ii) \\\\\\x^2-4x +3 = 2x -2\\\\\implies x^2 -4x -2x +3 +2 =0\\\\\implies x^2 -6x +5 =0\\\\\implies x^2 -5x -x +5 =0\\\\\implies x(x-5) -(x-5) =0\\\\\implies(x-5)(x-1) =0\\\\\implies x = 5 ~~ \text{or}~~ x = 1 \\\\\\\text{Substitute x = 1 in equation (i):}\\\\y = 2 -2 =0\\\\ \text{Substitute x = 5 in equation (i):}\\\\\\y = 2(5) -2 = 10 -2 =8 \\\\\text{Hence,}~~ (x,y) = (1,0) ~ \text{and} ~ (x,y) = (5,8)[/tex]

Eighteen greater than a number is 159. Find the number. Check your solution

The number is___

Answers

Answer:

let the number be x.

[tex]x + 18 = 159 \\ x = 159 - 18 = 141[/tex]

the number is 141

hope helpful <3

How do the measures of the angles of triangle ABC compare if those of triangle A’B’C’ when triangle A’B’C’ coincides with the other three triangles. What can you say about the preservation of the angle measurement of the shape during rotation.?

Answers

Answer:

30x t 78

Step-by-step explanation:

What is a circle define and illustrate The following in figures

Answers

Answer:

Circle is a closed geometric figure having an infinite number of sides.

Step-by-step explanation:

A circle ⭕ has infinite number of sides want to know how then try and experiment.

First draw a pentagon of five sides, then a hexagon of six sides and keep on increasing the number of sides and then you will notice the shape being close of a circle.

6-4x=12+2x

Solve for x

Answers

6-4X = 12 + 2X
+4X. +4X
6= 12 + 6X
-12. -12
-6 = 6X

X EQUALS -1!

Suppose A and B are mutually exclusive events, and that P(B)=0.24 and P(A OR B)=0.27. Find P(A).

Answers

Step-by-step explanation:

(4 - x)(x - 4) = 16 - x2 help me please sir please help me please sir fasthelp me please sir please help mehelp me please sir please help mehelp me please sir please help mehelp me please sir please help me

Answer:

Step-by-step explanation:

this equals 0.03

help! giving brainliest!!!

Answers

Brainly. Mathamatics

Ms. Duda’s class is hanging 500 red lanterns around the
school for Lunar New Year. Before lunch, the class hangs
100 of the lanterns.
PART A Draw a model to show what percent of 500 lanterns
the class hangs before lunch.

Answers

Answer:

Percentage Calculator: 100. is what percent of 500.? = 20.

Step-by-step explanation:

Which of the following points lie on a line that passes through the origin with a slope of −2/5? Select all that apply.
A)
(0, 0)
B)
(1, −25)
C)
(−2, 5)
D)
(−1, 25)
E)
(4, 10)
F)
(−5, 2)

Answers

Answer:

a f

Step-by-step explanation:

(−5, 2) is point lie on a line that passes through the origin with a slope of −2/5

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find the points lie on a line that passes through the origin with a slope of −2/5

The line passes through (0, 0) and (x, y) form a slope of -2/5

-2/5=y/x

So y is 2 and x is 5.

Hence, (−5, 2) is points lie on a line that passes through the origin with a slope of −2/5

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

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