Write y=1/6x+5 in standard form using integers Please

Answers

Answer 1

The standard form of the line is [tex]6y-x=30[/tex]

Step-by-step explanation:

The equation of the line in this problem, written in the point-slope form, is

[tex]y=\frac{1}{6}x+5[/tex] (1)

We want to rewrite it in the standard form with integers, that means in the form

[tex]ax+by=c[/tex]

where a, b and c are integer numbers.

We start by manipulating eq.(1), by multiplying both terms of the equation by 6:

[tex]6y = \frac{1}{6}x\cdot 6+5\cdot 6\\6y=x+30[/tex]

Now we subtract [tex]-x[/tex] on both sides:

[tex]6y-x = x-x+30[/tex]

So we find

[tex]6y-x=30[/tex]

Which is the standard form of the line.

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Related Questions

A gardener makes a new circular flower bed. The bed is fourteen feet in diameter. Calculate the circumference and the area of the circular flower bed.
A. circumference= 14pi feet, area = 196pi square feet

B.circumference = 14
feet, area = 14pi
square feet

C.circumference = 14pi
feet, area = 49pi
square feet

D.circumference = 7pi feet,area= 49pi square feet

Answers

The circumference and the area of the circular flower bed is 14π feet

Circumference of a circle

The formula for calculating the circumference of a circle is expressed as:

C = 2πr

Given the following parameeters

diamter = 14ft

radius = 14/2  = 7ft

Susbtitute

C = 2π(7)

C = 14π feet

A  = π(7)^2
A = 49 π square feet

Hence the circumference and the area of the circular flower bed is 14π feet

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HELP!! If over A few weeks Carla saw 15 mayflies how many flying insects did she see

Answers

Number of insect = 70

Step-by-step explanation:

Given  expression

Number of insect                  Number of mayflies

         x                                                    [tex]\frac{3}{14}x[/tex]

According to problem

[tex]\frac{3}{14}x[/tex][tex]=15[/tex]

⇔[tex]x = \frac{15 \times 14}{3}[/tex]

⇔[tex]x = 70[/tex]

Number of insect = 70

What is the solution to –2(8x – 4) < 2x + 5?

x > x is greater than StartFraction 1 Over 6 EndFraction.
x < x is less than StartFraction 1 Over 6 EndFraction.
x > 6
x < 6

Answers

Answer:

x is greater than StartFraction 1 Over 6 EndFraction.

Step-by-step explanation:

–2(8x – 4) < 2x + 5

⇌  –16x + 8 < 2x + 5

⇌ 3 < 18x

⇌ 1/6 < x

⇌ x > 1/6

Answer:

A

Step-by-step explanation:


Which polygon is irregular?

Answers

Answer:

The irregular polygon is D.

Step-by-step explanation:

An irregular polygon is a shape that doesn't have all congruent sides.

Answer:

D

Step-by-step explanation:

Can you help me make a Word problem

Answers

Answer:hey

Step-by-step explanation:

Julie spend $5.62 at the store. Micah spends 5 times as much as Julie. Jeremy spends $6.72 more that Micah. How much money does each person spend?

Answers

Answer:

Julie Spends $5.62, Micah spends $28.10 and Jeremy Spends $34.82

Step-by-step explanation:

If Micah spends 5 times as much as Julie, that is $28.10 because 5.62 x 28.10 = 28.10. If Jeremy spends 6.72 more than Micah, you would do 28.10 + 6.72, which is 34.82

I think I did the math correct but I may be wrong

Answer:

reeeeee

Step-by-step explanation:

ererrrrrrrrrrrrrrrr

PLEASE HELP!
The function f(x) = Three-fourths(10)–x is reflected across the x-axis to create the function g(x). Which ordered pair is on g(x)?

(negative 3, negative StartFraction 3 Over 4,000 EndFraction)
(–2, 75)
(2, negative StartFraction 3 Over 400 StartFraction)
(3, –750)

Answers

Answer:

The actual answer is C) 2, -3/400

Step-by-step explanation:

I hope this can help, I checked for the answer after the quiz.

Help me on my midterm.!

Answers

Last Option: "The division property is used to create step 4" is the correct answer

Step-by-step explanation:

Given equation is:

[tex]6(3x-4)-26 = 40[/tex]

Step 1: Distributive property

[tex]18x-24-26 = 40\\[/tex]

Step 2: Simplifying

[tex]18x-50 = 40[/tex]

Step 3: Addition Property of Equality

[tex]18x-50+50 = 40+50\\18x = 90[/tex]

Step 4: Division Property of Equality

[tex]\frac{18x}{18} = \frac{90}{18}\\x = 5[/tex]

Hence,

Last Option: "The division property is used to create step 4" is the correct answer

Keywords: Linear equation, variables

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Chanita wants to swim the 21-mile English Channel in 48 hours. On the first day she swam 9 miles and then was picked up by a ferry to spend the night. The next day, she has 12 hours of daylight to complete the remaining distance. What inequality represents the minimum rate she has to swim on the second day to complete the distance? the inequality is 9 +

Answers

The inequality 12x+9 ≥ 21  represents the minimum rate Chanita have to swim on second day to complete the distance.

Step-by-step explanation:

Given,

Length of English Channel = 21 miles

Distance covered on first day = 9 miles

Time to complete remaining distance on second day = 12 hours

Let,

x be the distance covered per hour on second day.

Time to cover distance * Distance covered per hour + Distance on first day ≥ Total distance

12x+9 ≥ 21

The inequality 12x+9 ≥ 21  represents the minimum rate Chanita have to swim on second day to complete the distance.

Keywords: addition, inequality

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Answer:

The answer is in the picture below. :)

Step-by-step explanation:

7x + 2y = -1
3x – 4y = 19

Answers

Answer:  Y = - 4 & x = 1

Step-by-step explanation:

Systems of linear equations: We will solve this using substitution but you can use 2 more ways.

7x + 2y = -1

2x - 4y = 19

Leave X  alone first: -------------------

10x - 2y = 18

10x/10 = 18 + 2y/10

x = 9/5 + y/5

Solve for y:

7(9/5 + y/5) + 2y = -1

63/5 + 7y/5 + 2y - 1

63/5 + 7y/5 = 10y/5 = -1

63/5 + 17y/5 = -1 (-5/5)

17y/5 = -68/5 (cancel the 5)

y = -68/17

y = - 4 (Your Answer)

7x + 2(- 4) = -1

7x + (-8) = -1

7x = 7

x =   1

CHECK=

7(1) + 2(-4) = -1

7+ (-8) = -1.

-1=-1

Answer:

(1, -4).

(x = 1, y = -4).

Step-by-step explanation:

7x + 2y = -1

3x  – 4y = 19    Multiply the first equation by 2:

14x + 4y = -2     Adding:

17x = 17

x = 1.

Plug this into the second equation:

3(1) - 4y = 19

-4y =  19 - 3 = 16

y = -4.

sharon is planning a cookout for 42 people. each guest will get 1 veggie burger. sharona will put one slice of cheese on half of the burgers. cheese slices come in packs of 8. write and solve an equation to find the number of packs of cheese, p, that sharon needs to buy.

Answers

Answer:

3

Step-by-step explanation:

42 divided by 2 equals 21

21 divided by 8 equals 2.625

therefore, sharon must buy 3 packets of cheese.

w+2/3=2 5/6 what is w

Answers

Answer:

13/6

Step-by-step explanation:

2 5/6=17/6

w+2/3=17/6

w=17/6-2/3

w=17/6-4/6

w=13/6

What is the distance ?

Answers

Distance between 2 points formula: √(x2 − x1)² + (y2 − y1)²

= √(7 - (-3))² + (-1 - 5)²

= √10² + -6²

= √100 + 36

= √136

≈ 11.662 (Note that this number is rounded because its a a non-terminating decimal).

Best of Luck!

What is the product? (x + 3)(2 x minus 1)

Answers

2x^2 -x + 6x -3 is what we get when we multiply by opening the brackets

Your final answer will be 2x^2 + 5x -3

Answer:

Your final answer will be 2x^2 + 5x -3

Step-by-step explanation:

Divide 20/100
To find two equivalent fractions

Answers

1/5, 2/10, 3/15, 4/20, 5,25, and on going up a number example (...6,7,8,9,10) and up 5 example (...30,35,40,45)
Final answer:

Two equivalent fractions for 20/100 are 1/5 and 2/10. These are found by simplifying the fraction 20/100 by dividing by 20 and 10, respectively. Setting up proportions in different contexts often uses the principle that multiplication and division are related through reciprocals.

Explanation:

To find two equivalent fractions for 20/100, we can simplify the fraction by dividing the numerator and the denominator by the same number. Since both 20 and 100 are divisible by 20, we can divide them both by 20 to get the first equivalent fraction, which is 1/5. To find a second equivalent fraction, we might choose another common divisor, like 10, which gives us 2/10 as another equivalent fraction to 20/100.

Converting percents to fractions involves writing the percentage as a fraction with a denominator of 100 and then simplifying. For instance, 20% would become 20/100 which simplifies to 1/5. To set up a proportion in other contexts, you could follow examples like setting scales in drawings or units in ratios equal to one another, and in doing so, you're often utilizing the concept that multiplication and division are related through the use of reciprocals.

Solve the systems of equations using the substitution method.
5y-6=x
Y=-x

Answers

Answer:

x=-1, y=1. (-1, 1).

Step-by-step explanation:

5y-6=x

y=-x

-----------

5(-x)-6=x

-5x-6=x

-5x-x=6

-6x=6

x=6/-6

x=-1

y=-(-1)=1

There are 453.592 grams in one pound. A semi-slick, Kevlar tire weighs about 520 grams. What is the tire’s weight in pounds?

Answers

Answer:

The tire's weight in 1.146 pounds.

Step-by-step explanation:

Given:

There are 453.592 grams in one pound.

A semi-slick, Kevlar tire weighs about 520 grams.

Now, to find the tire's weight in pounds.

As, given 1 pound is 453.592 grams.

The weight of tire = 520 grams.

So, to get the tire's weight in pounds by using conversion factor:

1 pound = 453.592 grams.

Thus, 520 grams is:

[tex]\frac{520}{453.592}[/tex]

[tex]=1.146\ pounds.[/tex]

Therefore, the tire's weight in 1.146 pounds.

What is the answer to 20g + 24h?

Answers

Answer: 64g

Step-by-step explanation: added 20 by 20 and then add the 4.

Answer:it stays the same

Step-by-step explanation: because if it different letters it can’t combine


Outcome
A
B
C
D
Probability
.25
.33
.37
.05

What is the probability of either outcome B or D?
a.
.28
c.
.19
b.
.38
d.
.33

Answer b

Answers

Answer:

the answer is b

Step-by-step explanation:

Answer:

B. 0.38

Step-by-step explanation:

Can you Solve 4x = -60

Answers

Answer:

X = -15

Step-by-step explanation:

Divide -60 by 4

Ok so I’ll solve it step by step:
4x=-60 step 1-you have to get rid of the 4 first by dividing it on both sides(the reason is because you want to isolate the x)
4x/4=-60/4 step 2- divide -60 by 4
x=-15

What is 980 divided by 41

Answers

Answer:

23.902

Step-by-step explanation:

980 divided by 41 will be :
23.9

There are 3,200 students at our school. If 52% of them are boys, then how many boys are enrolled at our school?

Answers

Answer:

1664 boys

Step-by-step explanation:

3200×0.52=1664 boys

Answer:

1664

Step-by-step explanation:

Multiply 3200 by the 52% as a decimal, which is 0.52, and 3200 times 0.52 gives you the answer 1664.

John is selling tickets to an event. Attendees can either buy a general admission ticket or a VIP ticket. The general admission tickets are $70 and the VIP tickets are $105. If she knows he sold a total of 33 tickets and made $2730, how many of each type did she sell?

Answers

Answer:

The number of general admission tickets sold was 21 and the number of VIP tickets sold was 12

Step-by-step explanation:

Let

x ----> the number of general admission tickets sold

y ----> the number of VIP tickets sold

we know that

[tex]x+y=33[/tex] ---> equation A

[tex]70x+105y=2,730[/tex] ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both lines

using a graphing tool

The solution is the point (21,12)

see the attached figure

therefore

The number of general admission tickets sold was 21 and the number of VIP tickets sold was 12

Final answer:

To solve how many general admission and VIP tickets John sold, a system of equations is formed and solved, revealing that John sold 21 general admission tickets and 12 VIP tickets.

Explanation:

John is selling tickets to an event with two different pricing options, general admission tickets at $70 and VIP tickets at $105. He sold a total of 33 tickets resulting in revenue of $2730. To determine how many of each type of ticket he sold, we will use a system of equations.

Let x represent the number of general admission tickets sold and y represent the number of VIP tickets sold. We can then form the following two equations based on the information provided:

x + y = 33 (equation 1: total number of tickets sold)

70x + 105y = 2730 (equation 2: total revenue from ticket sales)

To solve this system, we can use the method of substitution or elimination. Here, we'll use substitution for simplicity. First, solve equation 1 for x:

x = 33 - y

Substitute this expression for x in equation 2:

70(33 - y) + 105y = 2730

Simplify and solve for y:

2310 - 70y + 105y = 2730

35y = 420

y = 12

Since y = 12, substitute y back into equation 1 to find x:

x = 33 - 12 = 21

Therefore, John sold 21 general admission tickets and 12 VIP tickets.

How do I simplify (5i) square

Answers

Answer:

see attached picture please

Select the answer with the correct number of significant figures for each calculation. (6.022 × 10^23) × 2.58 = 1.55 × 10^24 1.554 × 10^24 1.5537 × 10^24

Answers

Answer:

1.55 × 10^24

Step-by-step explanation:

The answer is A aka 1.55 x 10 to the power of 24

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.

f(x) = Left-bracket StartFraction x Over 10 EndFraction right-bracket

Which describes the meaning of f(x)?

Answers

Answer:

A customer earns one free night per 10 nights stayed.

Step-by-step explanation:

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.

Here, [tex]f(x) = \frac{x}{10}[/tex] ........... (1)

In the above equation if we put x = 10 nights then f(10) = 1 night.

From, the equation (1) we get that a customer earns one free night per 10 nights stayed. (Answer)

The correct option is A. a customer will earn 1 free night per 10 night stayed.

Given,

[tex]f(x)=\dfrac{x}{10}[/tex]..........equation (1) .

Since the hotel offers a reward program based on the number of nights stayed. The function [tex]f(x)[/tex] represents the number of free nights earned as a function of [tex]x[/tex], the number of nights stayed.

From equation (1), it is clear that  f(x) is the one- tenth times  of x. it means the customer will earn 1 free night per 10 night stayed.

Hence the correct option is A. a customer will earn 1 free night per 10 night stayed.

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an airplane lands at an airport 80 miles west and 30 miles north of where it took off. How far apart are the airports.

Answers

Answer:

85.44 miles apart

Step-by-step explanation:

According to the question;

The airplane flew 80 miles west and 30 miles north

We are supposed to determine how far apart are the airports.

The shortest distance will be the displacement from the initial point.We are going to use the Pythagoras theorem;a² + b² = c² , where a and b are the legs of a right angled triangle and c is the hypotenuse.Therefore, in this case; our legs will be 30 miles and 80 miles, so we need to determine the hypotenuse;

That is;

c² = 80² + 30²

    = 6400 + 900

    = 7300

c = √7300

  = 85.44

Thus, the airports are 85.44 miles apart

   

When x=8 and y=20. Find y when x=68​

Answers

Answer:

[tex]8(68) + 20[/tex]

[tex]8 \times 68 + 20[/tex]

[tex]544 + 20[/tex]

[tex]x = 564[/tex]

Answer:

170

Step-by-step explanation:

8/20=x/y

simplify. 2/5

2/5=68/y

68*5/2=y

68*5=340

340/2=170

y=170

- the line through (3, 7) and (-1, 4) --

Answers

Answer:

[tex]y = \frac{3}{4}x + \frac{19}{4}[/tex]

Step-by-step explanation:

We have to get the equation of the straight line through the points (3,7) and (-1,4).

Now, we know that the two-point formula of a straight line passing through the two points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is given by

[tex]\frac{y - y_{1} }{y_{1} - y_{2}} = \frac{x - x_{1} }{x_{1} - x_{2}}[/tex].

So, in our case, the equation of the straight line will be

[tex]\frac{y - 7}{7 - 4} = \frac{x - 3}{3 + 1}[/tex]

⇒ 4(y - 7) = 3(x - 3)

⇒ 4y - 28 = 3x - 9

⇒ 4y = 3x + 19

⇒ [tex]y = \frac{3}{4}x + \frac{19}{4}[/tex] (Answer)

There are 27/9 and I don’t know the answer

Answers

Answer:i8lil

Step-by-step explanation:

loo;;o;o;oo;

Answer:

you Go up to who ever teaches you cuz it’s 8 and u should know This

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