Use the given x and y values to write a direct variation
equation.
x = 2, y = 30

Answers

Answer 1

Answer:

y = 15x

Step-by-step explanation:

Given x and y are in direct variation then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 2, y = 30, then

30 = 2k ( divide both sides by 2 )

15 = k

y = 15x ← equation of variation


Related Questions


b)
The cost price of an electronic fan is Rs 2,800. If the shopkeeper marks its price
30% above the cost price and sells it at 10 % discount, how much should a
customer pay for it with 15 % VAT?​

Answers

Answer:

cp=2800

mp=cp+30%of cp=2800+30/100×2800=3640

discount=10%

discount amount=10%ofmp=10/100×3640=364

sp=mp-discount=3640-364=3276

vat=15%

sp with vat=sp+vat%of sp=3276+15/100×3276=3276+491.4=3767.40

The price customers pay for it with 15 % VAT is Rs 3767.40 if the cost price of an electronic fan is Rs 2,800.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

The cost price of an electronic fan is Rs 2,800.

Cost with 30% above the cost price = Cost price +30% of cost price

= 2800 + (30×2800)/100

= 3640

Discount = 10%

Discount amount = 10% of 3640 = 364

Discounted price = 3640 - 364 = 3276

VAT = 15%

Discounted price with VAT = 3276 + 15% of 3276

= 3767.40

Thus, the price customers pay for it with 15 % VAT is Rs 3767.40 if the cost price of an electronic fan is Rs 2,800.

Learn more about the percentage here:

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What type of number ??

Answers

Answer: Rational number

Step-by-step explanation:

The combined ages of megan and kyle are 27. if kyle is twice as old as megan, how old is kyle.

Answers

kyle is 18 and megan is 9, because 9 + 18 = 27 and 27 / 3 = 9. hope this helps :)

Answer:

Kyle's age = 18 years

Step-by-step explanation:

Let Megan's age = x

Kyle's age = 2x

Combined ages  of Megan and Kyle = 27

x + 2x = 27

   3x = 27           {Divide both sides by 3}

3x/3 = 27/3

x = 9

Megan's age = 9 years

Kyle's age = 2 * 9 = 18 years

Solve the system.... 2y+8x+58 and y-5x=11

Answers

Answer:

x=2, y=21

Step-by-step explanation:

there are two methods: substiution and elimation. I will be doing subtistution in this soultion:

first isolate y in either equation, it would be easier to do it in the second one.

y= 11+5x

Then, subtitute that into the first equation

2(11+5x)+8x=58 (it says 2y+8x+58 but I assume you mean 2y+8x=58?)

22+10x+8x=58

18x = 36

x=2

substitute that back into y = 11+5x, to get y=11+10 = 21

Two pencils and a ruler cost 98 cents in total. One pencil and 2 rulers cost $1.24 in total. Find the cost of each item.

Answers

Answer:

2.16

Step-by-step explanation:

r = cost of ruler

p = cost of pencil

 

r = 2p

6r + 15p = 2.16

 

Substitute 2p in place of r in 2nd equation and solve for p

 

6(2p) + 15p = 2.16

12p + 15p = 2.16

27p = 2.16

Answer: 2.16
6(2p)+15p=2.16
12p+15p=2.16
27p=2.16

write 8867 to 2 significant figures
I can't remember how to do this. ​

Answers

The answer would be 8900
Reason: when you round to 2 significant figures you are trying to reduce the number to 2 digits and the rest will become 0 to indicate a place value

To increase a liability, you will record it as

A. a credit

B. current

C. noncurrent

D. debit

Answers

Answer:

The answer is A.) a credit

Step-by-step explanation:

I hope this helps!

Answer:

If you ask a banker whether debiting or crediting a liability increases the account’s balance, the financier will tell you it depends on the transaction. The same answer holds true for accounting procedures, even though banking debits and credits are distinct from accounting practices. To understand the effects of journal entries on financial accounts, it’s important to master such terms as liability, record keeping and financial reporting.

If you want to learn more i got my answers from bizfluent.

Lin runs 4 laps around a track in 5 minutes how many minutes per lap is that

Answers

Answer:

1 minute and 25 seconds per lap or 1.25 minutes.

Step-by-step explanation:

Please help with the questions in the picture !!

Answers

Answer:

-54 is the answer of this question

C) 98

D) -54

The best way to solve these types of questions is to multiply the quotient by the divisor in order to find the dividend.

Use a sales tax rate of 7%.Estimate the total for each item
a DVD that costs $19.95

Answers

Answer:

$21.35

Step-by-step explanation:

7% of 19.95 is 1.3965 but in money terms we round to the nearest hundredth 1.40.

1.40 + 19.95 is 21.35

Please answer me .....

Answers

Answer:

a. 2x -3

b. 7

Step-by-step explanation:

a. The expression that represents the difference is sales between the two sales will be:

9x - (7x + 3) = 9x - 7x - 3 = 2x - 3

b. What we do here is to simply substitute the value of 5 for x

mathematically, we have to substitute the value of 5 in the expression above

We have this as:

2(5) -3

= 10-3 = 7

Find the slope of the line

Answers

Answer:

1/4

Step-by-step explanation:

pls help if u can
thanks in advance

Answers

Answer:

x=55

Step-by-step explanation:

Since the two lines are parallel the two angles are same side exterior. This means their sum is 180. So to solve put them equal to 180, x+9+2x+6=180.

First, combine like terms

3x+15=180

Then, subtract 15 from both sides

3x=165

Finally, divide the entire equation by 3

x=55

Please help 7th grade math

Answers

Answer:

75

Step-by-step explanation:

15 x 5 = 75

Answer:

75 miles

Step-by-step explanation:

since 1 inch is 15 miles and there is 5 inches, multiply 5 bh 15

Explain how you know these two figures are similar

Answers

Answer:

Firstly, we know that both are parallelograms, if you rotate a little, and both have the same angles in the parallelogram.

they have 2 pairs of the same angles, so they’re similar

0.7 mm to centimeters

Answers

Answer: 0.07 centimeters

Step-by-step explanation: 0.7millimeters equals 0.07 centimeters

help. find the equation shown. negative

Answers

Answer:

i think (0,2)

Step-by-step explanation:

Help plz all my points

Answers

9514 1404 393

Answer:

  A: ∠W'Z'Y' = 60°; angles aren't changed by rotation

  B: W'(-3, 6), X'(9, 6), Y'(8, 1), Z'(-4, 1)

Step-by-step explanation:

Part A:

Angle WZY is the supplement of the given angle ZWX, so is ...

  ∠WZY = 180° -120° = 60°

Rotation about the origin (or anywhere else) does not change angles. The new parallelogram will have ...

  ∠W'Z'Y' = 60°

__

Part B:

The transformation right 2 and up 3 can be described by ...

  (x, y) ⇒ (x +2, y +3)

Then the translated vertices are ...

  W(-5, 3) ⇒ W'(-3, 6)

  X(7, 3) ⇒ X'(9, 6)

  Y(6, -2) ⇒ Y'(8, 1)

  Z(-6, -2) ⇒ Z'(-4, 1)

Order the following set of numbers in ascending order (least to greatest): 2.007; 2.714; 2.09; 2.741; 2.07

Answers

Answer:

2.007;2.07;2.09;2.714;2.741

Step-by-step explanation:

2.007 is the least and 2.741 is the greatest

Answer: 2.007, 2.07, 2.09, 2.714, 2.741

Step-by-step explanation:

Desi is about to dilate ABC by multiplying each coordinate by d.
1.) If d>l what happens to the shape?
a. The shape is enlarged.
b. The shape is reduced.
c. The shape will be congruent.
d Not enough information.

Answers

The answer is d not enough information

Translate the sentence to an algebraic expression r minus 7

Answers

Answer:

r-7

Step-by-step explanation:

What is the the translation rule

Answers

The answe is X+12, Y+10

CAN SOMEONE PLEASE HELP IM DUM 10 POINTS

Answers

Answer:

The slope is 3.5 it represents the amount of miles per hour

Step-by-step explanation:

I subtracted 6 from 13 and got 7miles every 2 hours, then I divided 7 by two to get 3.5 miles per hour.

Pls give me brainliest, hope this helped

I need the graph to answer the 2nd question. Could you please share graph photo

PLEASE HELPPPPP BRAINLIEST PLUS POINTS

Answers

MN = TS

5x -2 = 3x + 1

Add 2 to both sides:

5x = 3x + 3

Subtract 3x from both sides:

2x = 3

Divide both sides by 2

X = 3/2

Now you have x solve for TS

TS = 3x + 1 = 3(3/2) + 1 = 4 1/2 + 1 = 5 and 1/2

The smaller triangle is 2/3 the size ( 26/39 = 2/3)

5 1/2 x 2/3 =  3 2/3


Which table matches 4x+7y=19?

Answers

Answer:

c

Step-by-step explanation:

The table which matches 4x + 7y = 19 is table (d).

What are Linear Equations?

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Given is a linear equation,

4x + 7y = 19

(a) When x = -18,

7y = 19 - (4 × -18) = 91 ⇒ y = 13

When x = 1,

7y = 15 ⇒ y = 2.14

So the table (a) is not the one.

(b) When x = -9, 7y = 55, y = 7.857

Table (b) is also not the one.

(c) When x = 0, y = 2.7

Hence (c) is also not an option.

(d) When x = -18, y = 13

When x = -11, 7y = 63, y = 9

When x = -4, 7y = 35, y = 5

So the correct option is table (d).

Hence the correct option is table (d).

Learn more about Linear Equations here :

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Which of the following statements correctly describes the items shown below?

A. Both functions are increasing and have different rates of change.

B. Both functions are increasing and have the same rates of change.

C. Both functions are decreasing and have the same rates of change.

D. Both functions are decreasing and have different rates of change.

Answers

Answer:

Both functions are decreasing and have different rates of change.

Step-by-step explanation:

Find the area of the isosceles triangle.
13 cm is the side length
10 cm is the base
what is the hight?

Answers

Try this thing which you can find on internet
A=1/2.b.h
A=1/2.10.12
h^2+5^2=13^2
h^2+25-25 =169-25
h^2=144

√h= √144
h=12
so right answer is this one

In Tennessee, the state sales tax rate is 9.25%. A bike costs 129.99, and an electric scooter costs 324.99. Rounded to the nearest cent, how much morr is the tax on the scooter than the tax on the bike​

Answers

Answer:

213.04

Step-by-step explanation:

Multiple both by 1.0925 and then subtract from each other.

Answer:

$18.04

Rounded: $18.00

Step-by-step explanation:

Scooter tax: $30.06

Bike tax: $12.02

Hope this helped!

Find the volume of a cylinder with a height of 7 cm and a radius of 3 cm.

A. 21 / cm3

B. 63 71 cm

C. 147 cm

D. 42 71 cm​

Answers

Answer:

198 cm³

Step-by-step explanation:

V = π r² h

V = 22/7 × 3² × 7

V = 22/7 × 9 × 7

V = 22 × 9

V = 198 cm³

Answer: B

Step-by-step explanation: a.p.e.x

Your parents want to be generous to you. They have decided to give you money every week for 1 year. They have 2 options from which you can choose.
Which option would you rather have?
Option A: Every week for one year, your parents will give you $50.
Option B: Every week for one year, your parents will double the amount of money that you have in a special bank account. In week one, they will give you $0.01.
Equation A:
Equation B:

Answers

Answer:

B

Step-by-step explanation:

1: they didnt mention that its just for a year.

2: the money source cant just be from them.

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