y is directly proportional to x.
when y=30, x=6
work out an equation connecting y and x

Answers

Answer 1

Answer:

y = 5x

Step-by-step explanation:

Use the direct variation equation y = kx

Plug in 30 as y and 6 as x, then solve for k

y = kx

30 = k(6)

5 = k

Plug in 5 as k into y = kx

y = 5x

So, the equation relating x and y is y = 5x

Answer 2

Answer:

y=5x

Step-by-step explanation:

30 divide by 6 = 5 so y = 5x


Related Questions

Subtract: (-2x^4-4y^3+4z^3+6)-(-9x^4-3y^3+4z^3+9)

Answers

Answer:

Step-by-step explanation:

(-2x⁴ - 4y³ + 4z³ + 6) - (-9x⁴ - 3y³ + 4z³ + 9)

= -2x⁴ - 4y³ + 4z³ + 6 + 9x⁴ + 3y³ - 4z³ - 9

= -2x⁴ + 9x⁴   - 4y³ + 3y³   + 4z³ - 4z³ + 6 - 9

= 7x⁴ - y³ + 0 - 3

= 7x⁴ - y³ - 3

Answer:

7x^4-y^3-3

Step-by-step explanation:

Triangle ABC is an isosceles with a base AC. The base angles are 60 degrees. Find the length of the base and the length of the altitude from the vertex angle. The length of each leg is 5

Answers

Answer:

base =5   because all angles=60, so an equilateral triangle

height=4.33

Step-by-step explanation:

height^2+1/2(5)^2=5^2

height^2+6.25=25

height^2=18.75

height=4.33

Which rate is equivalent to the unit rate of 13 miles per gallon?

.Options.
A: 26 miles/2 gallons
B: 2 gallons/ 26 miles
C: 39 miles/ 4 gallons
D: 4 gallons/ 39 miles


(Answer quick please I need this fast)

Answers

Answer:

a

Step-by-step explanation:

26 divided by 2 is 13

Can someone help me please

Answers

Answer:

corvette corvette.

Step-by-step explanation:

Paul and Quinn share some money in a ratio 3:2, Paul gets 60 more than Quinn, how much does Quinn get

Answers

Answer: 120

Step-by-step explanation:

3+2=5

Let x be the amount of money to be shared

Paul’s share which is (3/5)x is 60+ Quinn’s share which is (2/5)x

Therefore

(3/5)x= (2/5)x + 60

(3/5)x - (2/5)x= 60

(x/5)=60

Cross multiply

x= 60*5=300

It means that Quinn’s share is (2/5)(300)= 120

The amount of money that Paul and Quinn have will be $180 and $120, respectively.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Paul and Quinn share some cash in a proportion of 3:2, Paul gets 60 a larger number than Quinn.

Let 'x' be the share of Paul and 'y' be the share of Quinn. Then the equation is given as,

x: y = 3: 2          ...1

x = y + 60         ...2

From equations 1 and 2, then we have

(y + 60) / y = 3/2

2y + 120 = 3y

y = 120

Then the value of the variable 'x' is given as,

x = 120 + 60

x = 180

The amount of money that Paul and Quinn have will be $180 and $120, respectively.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Calculate the area of this shape made up from a square and a parallelogram.
5 cm
3cm

Answers

3cm. x 5 cm. = 15 cm. ur we

come

The answer would be 15cm because if you shift the shape it makes a rectangle which is length times width so 3*5 which equals 15

Solve the simultaneous equations.
Please help.

Answers

Answer:

the answer is x= 5 and y = 1.5

Answer :Value of x is 5 Value of y is 1.5Explaination :

Here we have been given with two equations and we will solve them by elimination by substitution method inorder to get the value of x and y.

5x - 4y = 19 (Equation No 1)x + 2y = 8 (Equation No 2)

From Equation No 2 :-

>> x + 2y = 8

>> x = 8 - 2y

In Equation No 1 :-

Substituting here the value of x which we got above as (8 - 2y).

>> 5x - 4y = 19

>> 5 (8 - 2y) - 4y = 19

>> 40 - 10y - 4y = 19

>> 40 - 14y = 19

>> -14y = 19 - 40

>> -14y = -21

>> 14y = 21

>> y = 21 / 14

>> y = 1.5

Finding out value of x :-

>> x = 8 - 2y

>> x = 8 - 2 (1.5)

>> x = 8 - 2 × 1.5

>> x = 8 - 3

>> x = 5

26: Solve For U
-4.2=u/5 + 8.3

Answers

Answer:

-62.5

Step-by-step explanation:

Answer:

-62.5

Step-by-step explanation:

42 ÷ j = 6 I NEED HELP ASAP

Answers

Answer:

42÷j=6

42=6j

42/6=j

7=j

j=7

Answer:

42 ÷ 7 = 6

Step-by-step explanation:

if you do your 6 times table you will get 6 x 7 = 42. so as said 42 ÷ 7 = 6

Pls help!! Zoom in to see better

Answers

Answer:

15/2/(9/2-41/8)=15/2(36/8-41/8)=15/2/-5/8=60/8/-5/8=60/-5=-12

Step-by-step explanation:

a cookie recipe at a bakery uses three cups of peanut butter chips for every two cups of chocolate chips that it uses. given the variables below which equation correctly relates the amount of chocolate and peanut butter chips needed to make a batch of cookies?
x: cups of chocolate chips needed for one batch
y: cups of peanut butter chips needed for one batch
A. y=1.5x
B. x= 5y
C. x=1.5y
D. y=5x​

Answers

C. x = 1.5y

This is the answer

As, 3y/2x = 1.5y/x

So, by this ratio we get,

x = 1.5y

There are some Chicken and rabbits in a cage. There are 20 heads and 62 feet in total, the question is: how many chicken and rabbits in the cage?​

Answers

Answer:There are 72 heads (chicken and rabbit) and 200 legs. How many chickens and rabbits are present totally?

Step-by-step explanation

There are 72 heads (chicken and rabbit) and 200 legs. How many chickens and rabbits are present totally?

Legs of a chicken = 2

Legs of a rabbit = 4

Total heads = 72

Total legs= 200

Let's assume that each of them has minimum 2 legs.

So 72*2 = 144 legs

Remaining legs: 200-144= 56

These remaining legs belong to rabbit because rabbit has 4 legs each.

2*Rabbits= 56

Rabbits= 56/2 = 28

Out of 72, 28 are rabbits. So there are 72-28= 44 chicken.

please solve thanks tyyy

Answers

Step-by-step explanation:

x = 1/2 Arc AB ( Relation between inscribed angle and corresponding arc)

x = 1/ 2 * 124

x = 62°

y = x ( Inscribed angles on standing on same arc are equal)

y = 62°

Hope it will help :)

What is the area of the trapezoid shown below?

Answers

Answer:

A. 78 Sq units

Step-by-step explanation:

Area of the trapezoid

[tex] = \frac{1}{ \cancel2} (19 + 7) \times \cancel6 \\ \\ = 26 \times 3 \\ \\ = 78 \: sq \: units[/tex]

What does the shape of the scatterplot tell you about the students that auditioned? (Need help asap)

Answers

Answer:

The more nights they practice, the better score they get.

Hope this helps

The more nights they practice

a. 2 – 8 - [- 4 – (-6 + 3 -9)] X ( -10 ÷2) suprimir los signos de agrupacion

Answers

Answer: 34Step-by-step explanation: 2 – 8 - [- 4 – (-6 + 3 -9)] X ( -10 ÷2)Así es como resolví esta pregunta: usé PEMDAS significa paréntesis, exponentes, multiplicación o División, suma y resta...Espero que la hayan resuelto bien!

SOMEONE PLEASE HELP ToT ill make u brain

Answers

Answer:

43

Step-by-step explanation:

18 + 4x - 3

18 + 4(7) - 3

18 + 28 - 3

46 - 3

43

You will plug 7 in the x place since x = 7. Hope this helps, thank you !!

Answer:

18 + 28-3 is 43.

Step-by-step explanation:

4x7 28 that's how I did it

20.
12. A sum amounts to Rs. 4410 after two years at
5% compound interest per annum. What is the
Principal ?
(A) Rs. 3800 (B) Rs.4100
(C) Rs. 4000 (D) None of these​

Answers

Answer:

I do not really know but I am trying right I think it is D like none of these sound right sorry if you get it wrong but just trying to help.

Step-by-step explanation:

ahhh help me with this one pLeAsE

Answers

○=> Correct option :[tex]\color{plum}\tt\bold{(A) \: 200.96}[/tex]○=> Steps to derive correct option :

Distance from the tip to the middle of the turbine = Radius of the circular turbine

Radius of the circular turbine = 32 meters

Circumference of the circular turbine = distance the turbine will travel in one revolution

We know that :

[tex]\tt \: \color{hotpink}circumference \: of \: a \: circle \color{plum}= 2\pi r[/tex]

Circumference of the circular turbine :

[tex] = \tt2 \times \frac{22}{7} \times 32 [/tex]

[tex] = \tt\frac{2 \times 22}{7} \times 32[/tex]

[tex] =\tt \frac{44}{7} \times 32[/tex]

[tex] =\tt \frac{44 \times 32}{7} [/tex]

[tex] =\tt \frac{1408}{7} [/tex]

[tex]\color{plum} =\tt 201.06 \: m[/tex]

▪︎201.06 m can be roughly rounded off to 200.96.

▪︎Thus, the distance the turbine will cover in one revolution = 200.96 m

▪︎Therefore, the correct option is (A) 200.96

Ir (2p-1,p) is a solution of the equation 9y + 12 = 10x, then find the value of p​

Answers

Answer:

p = 2

Step-by-step explanation:

Since, (2p-1,p) is a solution of the equation 9y + 12 = 10x.

Therefore, plug x = 2p - 1 & y = p in the above equation.

9p + 12 = 10(2p - 1)

9p + 12 = 20p - 10

12 + 10 = 20p - 9p

22 = 11p

p = 22/11

p = 2


The circle graph represents the number of teenagers at a high school who play video games. If 1,619 students go to the school,
about how many students do not play video games?
A. 72 students
B. 360 students
C. 454 students
D. 1.165 students

Answers

Answer:

C. 454 students

Step-by-step explanation:

Students who play video games = 259°

Students who don't play video games = 360° - 259°

= 101°

Students who don't play video games = 101°/360° * 1,619

= 0.2805555555555 × 1,619

= 454.219 students

Approximately 454 students

C. 454 students

There were 450 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $680. How many adults in how many children attended

Answers

Answer:

Adults= 110

Children= 340

Step-by-step explanation:

Given data

let adults be x

and children be y

x+y= 450----------1

2x+y=680---------2

from 1

x= 450-y

put this in 2

2(450-y)=680

900-2y=680

900-680=2y

220=2y

y= 220/2

y= 110

x+110= 450

x= 450-110

x=340

Please help! Giving brainliest!! Look at the picture below this! If it is blocked for you, just comment below and i'll explain!! Thank you so much for helping me!

Answers

To find miles per hour:

3 3/5 miles divided by 4/5 hour

3 3/5 = 5*3 + 3 = 18/5

18/5 divided by 4/5 equals

18/5 times 5/4

The fives cancel out, and we have 18/4 which reduces to 9/2 or 4 1/2 miles per hour :)

Answer:

I think the answer is 4.5 mph

of the space in Jamie's drawer is taken up by animal figures, and is taken up by action figures. He wants to store his basketball card collection in the drawer, too. How much room do the figures take up? Will he have any room left for the cards?

Answers

Answer:

74

Step-by-step explanation:

Find the values of x and y

Answers

Answer:

x = 2

y = 12

Step-by-step explanation:

In triangle ABD, CE is the mid segment.

Therefore, by mid segment theorem:

2(5x - 3) = x + 12

10x - 6 = x + 12

10x - x = 12 + 6

9x = 18

x = 18/9

x = 2

Since, DE = EA

2y - 4 = y + 8

2y - y = 8 + 4

y = 12

plz i need help. I know this is probably easy but I need help with this!

Answers

go to desmos graphing calculator

hit the "+" button in the top left

click table

put in the x and y values

after u do that click under the blue line surrounding number 1 and type in

y1~mx1+b

after u do that look in the number 2 box there should be the word parameters

under that there will be what m and b equals

Write the expression. Then, check all that apply.

Four times a number increased by seven

A 2-column table with 5 rows. Column 1 is labeled Key words with entries four, times, a number, increased by, seven. Column 2 is labeled Replace with entries 4, x, n, + , 7.

Replace “a number” with the variable, n.


The two operations are multiplication and addition.

The two operations are multiplication and subtraction.

The expression is written as 4n + 7.

The expression is written as 4n – 7.

Answers

Answer:

Step-by-step explanation:

The answer is 1 2 and 4

The correct options are 1 and 3.

The expression can be written as 4n + 7, involving multiplication and addition.

Given is a verbal expression "Four times a number increased by seven"

We need to convert it into algebraic expression.

So,

Replace "a number" with the variable, n.

This means we replace the phrase "a number" in the expression with the variable "n".

So, the expression becomes "Four times n increased by seven," which can be written as "4n + 7."

The two operations are multiplication and addition.

This option is correct.

The expression involves two operations: multiplication and addition.

We have "Four times a number" which means we multiply the number by 4, and then "increased by seven" means we add 7 to the result.

So, the expression can be written as 4n + 7, where 4n represents the multiplication and +7 represents the addition.

The expression is written as 4n + 7.

This option is correct. The given expression "Four times a number increased by seven" can be written as 4n + 7, where 4n represents the multiplication of the number by 4 and +7 represents the addition of 7 to the result.

So, the correct options are 1 and 3.

Learn more about Expressions click;

https://brainly.com/question/15994491

#SPJ6

Given the equation find the slope. Write it as a fraction.
y=-4x+3

Answers

Answer:

it should be -4/1

Step-by-step explanation:

x= slope

4 is a whole number add a 1 and it becomes a fraction

Please can i have help with the last question

Answers

Answer:

.

Step-by-step explanation:

This circle has a radius of 12 millimeters and is divided into 8 equal sections. In terms of pi,
what is the area of 1 section of this circle?

Answers

Answer:

        A = 18π mm²

Step-by-step explanation:

Area of a circle: [tex]A_\circ =\pi r^2[/tex] where r is a radius of this circle

8 equal section means area of one is:  [tex]A=\dfrac{\pi r^2}{8\ }[/tex]

r = 12 mm

[tex]A=\dfrac{\pi\cdot 12^2}{8\ }=\dfrac{144\pi}{8}=18\pi[/tex]

Other Questions
please help, this is due soon! A company is paying a local radio station to run its commercials. The cost for running commercials is a one-time campaign fee and also a per-second fee for the air time of each commercial. The cost can be modeled by the equation y = 250 + 100x, where x is seconds.What is the slope, and what does it represent? (1 point)Group of answer choices250; it represents the one-time campaign fee100; it represents the per-second fee of air time100; it represents the one-time campaign fee250; it represents the per-second fee of air time PLEASE HELP ME OUT CCCCCCCCCCCCCCCCCC; Help me help me help me A company which uses austenitic nickel chromium ions to manufacture resistance heating wire is considering a new annealing drawing process to reduce cost. If the new process will cost $1.75 million dollars now, how much must be saved each year to cover the investment in ten years at an interest rate of 12% tn=2n-5n, find t7=A)93B)21C)75D)54 what 2 countries were at a disadvantage, and at an advantage during ww1? which translation is moving left 5 and down 3 Help pls I need this like right now lol thank you in advance The total number of people that went to the out of town tournament was 42. How many players in chaperones went on the trip? HELP HELP IM GONNA DIE IF I DONT ANSWER THISOlivias passcode has four digits. The second digit from the left is three times the first (left-most) digit. The number formed by the last (right-most) two digits is three times the second digit from the left. The sum of the digits is 21. What is Olivias passcode? Should we fear failure? What are some good things that come out of failing at something? What are some downsides from failing at something? Explain in a 7 sentence response A change in an organisms that increases fitnessWhat is it called? What principle of Gandhi's did MLK use in his civil rights activism? What does this principle say? The principal is 2200.00 and the rate of interest is 7% what is the final account balance after two years Explain in your own words the process of Accounting cycle. Marks will be only given if written in own words and is not copy pasted. L.5.4.B Which of these is NOT meaning of the prefix di-, dif-, dis-? apart/away/separate not/opposite of with/together implies a negative meaning reverse the action What does the word discontinue mean? which statement describe the disadvantage of FrictionFriction causes wear and tear in objects.The machines or tools require regularmaintenance due to which a lot of money iswastedIt reduces the speed of moving objects, so moreforce is requiredAll of above a sound wave has a frequency of 1192 hertz. all sound waves in air travel at 322m/s. find the wave length of the sound wave The relationship between a distance x in a garden and the corresponding distance y in a model of the garden is y = kx. A triangular path in the model has sides that measure 8 yards, 15 yards, and 17 yards. The side lengths of the actual path are 48 yards, 90 yards, and 102 yards. What is the constant of proportionality?