Use the given x and y values to write a direct variation equation
x=5, y=30

Answers

Answer 1

Answer:

The direct variation equation is y = 6x

Step-by-step explanation:

The direct variation equation is y = kx, where

k is the constant of variation

To find the value of k, use the initial values of x and y

∵ y = 5, y = 30

y = k x

→ Substitute the values of x and y to find k

∵ x = 5 and y = 30

∴ 30 = k (5)

∴ 30 = 5k

→ Divide both sides by 5

∴ [tex]\frac{30}{5}=\frac{5k}{5}[/tex]

∴ 6 = k

→ Substitute it in the form of the equation

y = 6x

The direct variation equation is y = 6x


Related Questions

6. You earn 8% commission on sales. What is the commission if the sales
were as follows. 4 items at $1200,7 items at $650; 7 items at $600, and 6
items at $450? (no commas)*

Answers

Answer:

The total commission is=$1300

Step-by-step explanation:

The commission rate is a fixed number that applies to all the sales made by a salesperson. In our problem, the fixed commission rate is 8%, and the sales were as follows:

4 items at $1200 for a total of $4800. The commission is:

8% of 4800 = 0.08*4800 = $384

7 items at $650 for a total of $4550. The commission is:

8% of 4550 = 0.08*4550 = $364

7 items at $600 for a total of $4200. The commission is:

8% of 4200 = 0.08*4200 = $336

6  items at $450 for a total of $2700. The commission is:

8% of 2700 = 0.08*2700 = $216

The total commission is: $384+$364+$336+$216=$1300

The total commission is=$1300

Choose the inequality that Caroline's hair is
7 inches long and grows about 1/5 inch each month. Trinity's hair is 10 inches long and
grows about 1/10 inch each month. How many months will it take for Caroline's hair to be
at least as long as Trinity's hair?*

Answers

Answer:

  7 +1/5x ≥ 10 +1/10x . . . . . lower left picture of those shown here

Step-by-step explanation:

Caroline's hair length in inches can be expressed as ...

  c = 7 + 1/5x . . . . after x months

Trinity's hair length in inches can be expressed as ...

  t = 10 + 1/10x . . . . after x months

When Caroline's hair is at least as long as Trinity's, we have ...

  [tex]c\ge t\\\\\boxed{7+\dfrac{1}{5}x\ge 10+\dfrac{1}{10}x}[/tex]

LISTEN
Cal jogs from 10:28 AM until 11:15 AM. For about how long does Cal jog?

Answers

Answer:

47 minutes

Step-by-step explanation:

In elapsed time, it's better to make your problem more readable so it's easier to solve. Add 2 minutes into 10:28 so it turns into 10:30. Then add 30 minutes so it turns into 11:00 AM. Finally, add 15 minutes so it turns into the 11:15 you were looking for. When you combine the minutes allotted (2, 30, and 15) you get 47 minutes.

what is the answer? pls help

Answers

Answer:

m = undefined

Step-by-step explanation:

m = 9 - 6 / 5 - 5

m = 3 / 0

m = undefined

Answer:

undefined

Step-by-step explanation:

Because x is constantly 5, it is a straight line going up and down. This type of graph has an undefined slope.

7. |-7) - 131 =
a. - 4
b. 4
C. 10
d. - 10​

Answers

Answer:

Step-by-step explanation:

If the question is - 7 - 131 = - 138

please help me with domain and range of graphs Part 1​

Answers

Answer:

see the attached for domainRange: (-∞, 4], [3, ∞), [-3, 1]

Step-by-step explanation:

The domain is the horizontal extent of the graph. When the graph has arrows on the end, it extends to infinity in the indicated direction.

__

The range is the vertical extent of the graph.

Left Graph

We assume the curve is intended to touch, not cross, the line y=4, so the range is ...

  range: (-∞, 4]

__

Middle Graph

We assume the graph continues along the line y=3 to the right indefinitely. Then this value is the minimum of the range.

  range: [3, ∞)

__

Right Graph

The low point on the graph is at y=-3, and it looks like the graph continues to the right along the line y=1. Then the range is ...

  range: [-3, 1]

Find the distance between the parallel lines y=3x-1 and y=3x-11. Round
your answer to the nearest HUNDREDTH.

Answers

Answer:

x=1.5  y=-4.5

Step-by-step explanation:

what is the answer? pls help

Answers

Answer:

20

Step-by-step explanation:

lol ok got it bro

Jose earns $920 for 40 hours of work. What is Jose’s unit rate?
i need help

Answers

Answer:

Step-by-step explanation:

rate=earning/time=920/40=23 $ per hour.

HELPPPPPPPPP
I WILL GIVE BRAINLIST TO WHOEVER ANSWERS CORRECTLY!! The graph below represents the path of a golf ball.

Answers

1. Linear

2. Yes, because it shows a curved line

3. Up, and Elevation

4. How high and far the ball goes.

Brainliest ??

Two functions are shown below

f(x)=6x+3
g(x)=3x-2
What is the product of f(3) and g(-4)​

Answers

Answer:

-294

Step-by-step explanation:

f(3) = 6(3) + 3

f(3) = 18 + 3

f(3) = 21

g(-4) = 3(-4) - 2

g(-4) = -12 - 2

g(-4) = -14

f(3) * g(-4) = 21 * -14 = -294

Hope this helps!

Answer:

a. -294

Step-by-step explanation:

f(x)=6x+3

f(3)=6(3)+3

f(3)= 18 +3

f(3)= 21

g(x)=3x-2

g(-4)=3(-4)-2

g(-4)=-12-2

g(-4)=-14

21 x -14 = -294

ASAP ASAP ASAP
simplified the expression 6^8/6^10 select all that apply brainly

Answers

Answer:

1,679,616/60,466,176

Step-by-step explanation:

=0.02777777777

5.104 greater or less than 5.41

Answers

First one greater hope This helps

who wants my girl? if yes put it down​

Answers

Answer:

Already stole herrrrrr ahahah

Step-by-step explanation:

Answer:

nah good luck tho hahaha

Solve for z.

z/4 −2
= 2


z =

Answers

Answer:

z=16

Step-by-step explanation:

z/4-2=2(take l.c.m)

or,(z-8)/4=2

or,z-8=8

z=16

Answer:

z = 16

I hope this helps!

-9(-2 -9)+(-16)-
——————
-8

Answers

Answer:[tex]-10\frac{3}{8}[/tex]

Step-by-step explanation:

I dont know if the live on the other side of 16 is a mistake but if it is than thats the answer above.

Five added to six times
a number w is the same
as the quotient of 32
and w.

Answers

Answer:

6w + 5 = 32/w

Step-by-step explanation:

6 times w = 6w

add 5 = 6w + 5

quotient = division = 32/w

I need help please ASAP

Answers

ANSWER

angle A, CAB, BAC

A wall measures 2 meters 30 centimeters in width.

What is the width of the wall in millimeters?
A:0.0023 mm

B:0.23 mm

C:2.3 mm

D:2,300 mm

Answers

Answer:

The answer is D

Step-by-step explanation:

1 meter = 1,000 millimeters

1 centimeter = 10 millimeters

2 meters = 2,000 millimeters

30 centimeters = 300

2,000+30=2,300

Answer: D. 2,300

Step-by-step explanation:

There is 1000 millimeters in a meter which gets you 2000 plus the 30 centimeters. 30 centimeters is equal to 300 millimeters because for every centimeter its 10 millimeters. Add the 2000 to the 300 and get 2300 millimeters.

Karen invests $2,400 into an account with a 6.8% interest that is compounded annually. How much money will she have in this account if she keeps it for 8 years? Round your answer to the nearest cent. Do NOT round until you have calculated the final answer.

Answers

Answer:

The answer is 4062.39

Step-by-step explanation:

A=$2,400(1+0.0681)1(8). Simplify using the order of operations: A=$2,400(1.068)8=$2,400(1.692661131)≈$4,062.39.

The amount of money after 8 years will be $4062.38.

What is compound interest?

In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.

Given that Karen invests $2,400 into an account with a 6.8% interest that is compounded annually. The amount after 8 years will be calculated as below:-

Amount = P [ 1 + ( r / n )]^(nt)

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Amount = 2400 [ 1 + ( 0.068 / 1 ) ] ⁸

Amount = 2400 [1.068 ) ] ⁸

Amount = 4062.38

Therefore, the amount of money after 8 years will be $4062.38.

To know more about compound interest follow

https://brainly.com/question/24924853

#SPJ2

(6.2n - 8.3) + (-9.1 + 1.4n) simplify the expression​

Answers

Answer:

7.6n−17.4

Step-by-step explanation:

Hope this helps :)

After simplification we get  [tex]7.6n-17.4[/tex]

Given expression is,

                      [tex](6.2n-8.3)+(-9.1+1.4n)[/tex]

Now simplify,

                     [tex](6.2n-8.3)+(-9.1+1.4n)\\\\=6.2n-8.3-9.1+1.4n\\\\=6.2n+1.4n-8.3-9.1\\\\=7.6n-17.4[/tex]

Hence, after simplification we get [tex]7.6n-17.4[/tex]

Learn more:

https://brainly.com/question/12121002

What number has a place value of 6 that is 100 times the place value of 6 in 2,386? 0 14.06 O 76,504 O 2.486 0 14,693​

Answers

Answer:

It is D

Step-by-step explanation:

multiply 6  by 100 do it alone it should look like 6*100=600 then you look at your choices and pick whichever one has 6 in the hundreths place.

Glad I could help.....Please name me brainliest!!!!

What is the distance of Point A (4-i) from the origin of the complex plane?


Square root of 15

15

Square root of 17

17

Please someone help I will rate 5 stars

Answers

Answer:

1st im not sure

.

.

.

.

.pls rate 5 stars

Simplify using order of
operations.
52 + 3 x 8
P
E
MD
AS


The 2 is squared

Answers

Answer:

49

Step-by-step explanation:

Given expression:

       5²  + 3 x 8

The order of operation is:

P       Parentheses

E       Exponents

MD   Multiplication and Division

AS    Addition and subtraction

  In this problem, first solve the exponent; 5²  = 25

       25 + 3 x 8

   Now to the multiplication;

       25 + 24 = 49

The solution is 49

does anyone know? thank you

Answers

Answer:

option (D)

Step-by-step explanation:

f(1)=2-7=-5

f(2)=4-7=-3

f(3)=6-7=-1

Help me please.........

Answers

Answer: C

Step-by-step explanation:

The answer is C

How do you do this problem?

Answers

Answer:

400

Step-by-step explanation:

│an − L│< ε

│2 + (-1)ⁿ/√n − 2│< 1/20

│(-1)ⁿ/√n│< 1/20

1/√n < 1/20

√n > 20

n > 400

what is the endpoints of 65.177

Answers

umm...

65= 5×13

117=3×3×13

therefore hcf of 65 and 177 is 13

so 65m _ 177=13

or 65m=130

therefore m=2

Three less than the product of a number and two

Answers

(2x +5) -3 i believe !! i hope this helps

wich graph and equation shows a proportional relation ship between x and y
1. y= 2.5 - 1.5
2. y= x= 1.5
3. y= 0.45x
4. y= 4.5

Answers

Answer: y=0.45x is the answer.

Step-by-step explanation:

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