If y varies directly as x, and y =6 when x =10, find x when y=18

Answers

Answer 1

Answer:

X=30

Step-by-step explanation:

y=kx

6=10k

k=0.6

y=0.6x

18=0.6x

X=18/0.6

x=30

Answer 2

The value of x when y = 18 is 30.

What is Direct Variation?

Direct variations are defined as the functions of the form y = kx, where k is a constant.

Here when y increases, x increases and if y decreases, x also decreases.

Given that y varies directly as x.

That is the equation relating y and x can be written as,

y = kx, for some constant k.

Given that,

When x = 10, the value of y = 6.

Substitute in the equation.

6 = 10k

k = 6/10 = 3/5

Now we have to calculate the value of x when y = 18.

Substitute the found values and given values in the equation.

18 = (3/5) x

x = (18 × 5) / 3

x = 30

Hence the value of x is 30 when y = 18.

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Related Questions

What is the value ( 1.6 x -0.25) x 4 to the second power

Answers

Answer:

2.56

Step-by-step explanation:

( 1.6 x -0.25) x 4= -1.6

(-1.6)^2 = 2.56

Jason unfolded a cardboard box. The figure of the unfolded box is shown below: A long rectangle divided along the length into 4 equal squares is shown. Along the upper edge length of the second square is shown another square, and along the lower edge length of the fourth square is shown another square. The first square from the left has two adjacent sides labeled as 10 inches each. Which calculation will give the total surface area of the cardboard, in square inches, that was used to make the box? (1 point) a 5 × 6 × 6 b 6 × 5 × 5 c 10 × 6 × 6 d 6 × 10 × 10

Answers

Answer:

The answer is the third one

Step-by-step explanation:

Hope I helped

Hi if u could help me that'd be great

Answers

Answer:

1 hour and 45 minutes

and 1 hour

Step-by-step explanation:

x= run

y= walk

5x+2.5y = distance

5x+2.5(1.5)=12.5

solve for x

5x=8.75

x=1.75

1.75 in hours is 1 hour and (60*.75)=45

1 hour and 45 minutes

" If the marathon race participant ran for 2 hours, how many hours did the participant walk?"

We use the same equation

5x+2.5y=distance

we'll assume that they till walked 12.5 miles

which means that

5(2)+2.5y=12.5

solve for y

2.5=2.5y

y=1

1 hour

Answer:

Everybody, everybody

Get out on the floor

It can get a little crazy

When the kick hits the floor

Make a scene Make a scene

Nobody can ignore

Don't knock it, til you rock it

We can't take it no more!

Bring the lights up!

Bust the doors down!

Dust yourself off,

Shake it up!

Shake it up!

DJ set it off!

Take it up a notch

All together now!

Shake it up!

Shake it up!

Step-by-step explanation:

Find an order pair (x,y) that is solution to the equation 3x-y=8

Answers

Answer:

(2.67,-8)

Step-by-step explanation:

You first make x 0 so it is -3x0 to cancel that out to find y. You then see that you get -y=8 so you make y positive by moving the negative to the other side to get y = -8. Then, you do the same type of process for x and get 2.67. I could be wrong but wanted help as much as I could!

I’m really dum man and help me pls

Answers

Answer:

18 /25

Step-by-step explanation:

Multiply

3/5  × 6/5  = 18/25

3 /5  × 6/5  = ( 3 × 6 ) over ( 5 × 5 )

= 18/25

Hello There! Marie Here!

The answer is here:

18/25

HOPE THIS HELPS! HAVE A GREAT DAY!This is how you put it in the graph: (and btw make sure you drag the 0 to the big box)

Heather finished the 12-kilometer race in 2 hours. If Heather kept her pace constant, what was her rate? A. 24 km/hr. B. 14 km/hr. C. 10 km/hr. D. 6 km/hr.

Answers

Answer: D, 6km/hr.

Step-by-step explanation:

Heather can finish a 12-kilometer race in 2 hours, and now we have to find how many kilometers she can ride/run at in 1 hour.

How many hours can Heather run in 1 hour? To solve that, we can use the equation 12 ÷ 2.

12 ÷ 2 = 6.

Therefore, if Heather keeps her pace constant, then her rate will be 6km/hr, or D.

A clothing manufacturer produces 120 garments per hour, of which 5 are damaged. How many garments without damage would the manufacture except to produce in 8 hours?

Answers

Answer:

Step-by-step explanation:

First we have to found all the clothes that the manufacturer produces in 8 hours,

As given    120 clothes = produce in 1 hour

                  X clothes  = produce in 8 hour

By cross multiplication, we get

X= 120*8

X= 960  total clothes produced in 8 hours

As also given that in each hour 5 clothes damaged ,so we can write as

 5 clothes = damaged in 1 hour

Y clothes = Damaged in 8 hour

By cross multiplication we get

Y=  40 clothes damaged in 8 hour

So the total clothes that manufacturer produce with out damage clothe will be ,

Total normal clothes = X-Y   = 960 - 40  = 920 clothes

90 is 75% of what number

Answers

Answer:

120

Step-by-step explanation:

90 x 100 ÷ 75 = 120

What is the measure of ZABC?
A. 85°
130
D
B. 170°
40-
E
C. 40°
D. 130°

Answers

Answer:

A. 85°

Step-by-step explanation:

By intersecting chords theorem:

[tex] m\angle ABC= \frac{1}{2} (130 \degree + 40 \degree)[/tex]

[tex] m\angle ABC= \frac{1}{2}\times 170 \degree[/tex]

[tex] m\angle ABC= 85 \degree[/tex]

please help asap!!! ive done most of it

Answers

Answer:

what type of answer are you looking for exactly

Step-by-step explanation:


What is the value of x?

Answers

Answer:

4x= 40

Step-by-step explanation:

40/4 = 10

4x= 40 is the correct answer

Louis invested £2950 in a savings account for 5 years.
He was paid 1.9% per annum compound interest for each of the first 4 years.
He was then paid R% interest for the fifth year.
Louis had £3257 in his savings account at the end of the 5 years.
Work out the value of R.
Give your answer correct to 1 decimal place.​

Answers

Answer:

2.4%

Step-by-step explanation:

The value of R is, 2.4%

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Louis invested £2950 in a savings account for 5 years.

He was paid 1.9% per annum compound interest for each of the first 4 years.

And, He was then paid R% interest for the fifth year.

Louis had £3257 in his savings account at the end of the 5 years.

Here, We know that;

⇒ Compound interest formula = Capital × (1 + r%) ⁿ

Where, n is time in years.

So, We can formulate;

⇒ £2950 × (1 + 0.019)⁴

⇒ £3180.67

And, For calculate R;

⇒ £3180.67 × (1 + R%)⁵ = £3257

⇒ R = 2.4%

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4t + 5 = -9
Solve for t

Answers

Answer:

t = -3.5

Step-by-step explanation:

4t + 5 = -9

4t = -14

t = -3.5

Answer:

t=1

Step-by-step explanation:

subtract 5 from both sides then simplify and divide

At the country fair, Maya observes that the wheel of chance has 25 numbered slots. If each play costs a quarter, how much will Maya likely have to spend before she gets her winning number?

Answers

Answer:

6 1/4

Step-by-step explanation:

Given

Total number of wheel chance = 25

Each play = 1 quarter

1 play = 1/4

To calculate the amount Maya has to spend to get her winning number, we will say;

25 plays = x

Divide both expressions

1/25 = 1/4÷x

1/25 = 1/4x

Cross multiply

4x = 25

x = 25/4

x = 6 1/4

This mean that Maya will have to spend 6 1/4 before she gets her winning number

A coin is tossed 30 times. The experimental probability of the coin showing tails is 40%. How many times did the coin show heads?

Answers

Answer: 10 i just had this question

ep-by-step explanation:

Answer:

18

Step-by-step explanation:

Just find the other 60 percent of 30 so just multiply it by 6/10 which is 18

A housekeeper had 3/7 of a spray bottle of a cleaning solution. Used 1/9 of the solution in a day . How much of the bottle did she ​use

Answers

Answer:

27/7 or   3   6/7

Step-by-step explanation:

3/7 divided by 1/9 = 27/7

rounded to 3

Have a nice day

The 0.317 spray bottle did she ​us.

It is required to find how much of the bottle did she ​use.

What is fraction?

A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.

Given:

We know that total =1

For a cleaning solution=3/7 of a spray bottle

Used=1/9

According to given question we have,

Subtract the fractions

3/7 - 1/9

Calculate the difference,

=20/63

=0.317

Therefore, the 0.317 spray bottle did she ​us.

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Which of the following has the steepest graph ?

Answers

Answer:

D also if you input these equations into Desmos it can graph it for you :)

Step-by-step explanation:

Please solve number 16 for me.

Answers

Answer:

post pictures also for your answer

7(2 + 6 – 4d) = pl help me I don’t get it

Answers

Answer:

Step-by-step explanation:

1. 1 Simplify  2+6-4d to  -4d+8.

7 ( -4d + 8)

therefor, the answer is, 7( -4d + 8)

Answer:

7(2 + 6 - 4d) = 7(8 - 4d) = (56 - 28d)

Step-by-step explanation:

There is no possible answer to this equation but this is the most accurate equation, since you cant go any further, this is your simplified form.


The area of a rectangle is 300 ft2. The width of the rectangle is 8 ft less
than the length. What are the dimensions of the rectangle?

Answers

Answer:

Step-by-step explanation:

Factor x2 +8x +16, so (x+4)2 = 100

Simplify 5x ax 5 x a

Answers

Answer:2.a

Step-by-step explanation:

Which relation is a function?

{(3, 4), (2, 4), (5, 1), (3, 5)}

{(1, 4), (1, 3), (1, 2), (1, 1)}

{(1, 3), (2, 6), (3, 9), (4, 12)}

{(3, 4), (3, 3), (1, 2), (1, 5)}

Answers

Answer:

its 1

Step-by-step explanation:

look it up big dig daddy

the third one.

explanation:

for it to be a function an x-value can never be the same. so therefore it’s the 3rd one.

PLLZZ helpp meeeee plzzzzz

Answers

Answer: Literally has to be 3830.7

Step-by-step explanation: If the money is compounded annually there has to be some sort of accumulation or increase in the account

Maria and Don had $20,800 in medical expenses. Their family medical insurance covered 60% of these expenses. The IRS allows medical and dental expense deductions for the amount that exceeds 10% of a taxpayer's adjusted gross income. If their adjusted gross income is $101,598, how much can they claim as a medical deduction? Fill in the blank 1 Next

Answers

Maria and Don has claimed $1839.8 as a medical deduction.

Calculate medical expenses after removing medical insurance expense, that is

20,800 - 60% of 20,800

= 12480

Now, 20,800-12480

=$8,320

Now calculate 10% of gross income

10% of 101,598

= 10/100 × 101,598

= 0.1 × 101,598

= $10,159.8

Now medical deduction = 10% of income - Medical expenses

= 10,159.8-8,320

= $1839.8

Therefore, the medical deduction is $1839.8.

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Granny Jane's famous cookie recipe calls for 6 cups of chocolate chips and makes 30 cookies. How many cups of chocolate chips will be needed if the recipe is quadrupled?​

Answers

Answer:

c

Step-by-step explanation:

it is right

I just don’t get what they want so

Answers

The 2x and -2x are going to be 2(-5) and -2(-5) then solve the problem

Mathilde has 20 pints of green paint. She uses 2/5 of it to paint a landscape and 3 /10 of it while painting a clover. She decides that, for her next painting, she will need 14 pints of green paint. How much more paint will she need to buy?

Answers

Answer:

8

Step-by-step explanation:

Total pints of paint = 20

For landscape :

2/5 * 20 = 8 pints

For clover :

3/10 * 20 = 6 pints

Total used = (8 + 6) = 14

Pints left = 20 - 14 = 6 pints

14 required for next painting

14 - 6 = 8 pints

8 more pints needed

Written as a simplified polynomial in standard form, what is the result when
(x - 2)^2is subtracted from 9x^2-8x?

Answers

Answer:

9x^2 - 10x -4

Step-by-step explanation:

It is set up like this

     9x^2 - 8x

-              (x-2)2

First solve (x-2)2

the answer is (2x-4)

so now you can do this instead

    9x^2 - 8x

-              2x - 4

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

9x^2 - 10x +4

9x^2 minus zero is 9x^2

-8x-2x is -10x

0- -4 is 4 because that is like saying 0 + 4 because double negatives equal a positive

A simpler way is to change all the numbers to the opposite sign and then change the minus to a plus

like this

    9x^2 - 8x

+              -2x + 4

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

9x^2 - 10x +4

Answer:

8x^2-4x-4

Step-by-step explanation:

On delta math

I think it’s C am I correct

Answers

Answer:

yes you are correct it is c

Step-by-step explanation:

11 The table below shows the amount of a decaying
radioactive substance that remained for selected
years after 1990.
0
2
5
9
14
17
19
Years After 1990 (X)
Amount (9)
750
451
219
84
25
12
8
Write an exponential regression equation for this
set of data, rounding all values to the nearest
x thousandth. Using this equation, determine the
amount of the substance that remained in 2002, to
the nearest integer.

Answers

9 because 7x8 is one 29 so 8
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