y varies directly as x. if x = 10 when y = 40, find x when y = 200.

Answers

Answer 1

Answer:

x = 50

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition

x = 10 when y = 40, then

40 = 10k ( divide both sides by 4 )

4 = k

y = 4x ← equation of variation

When y = 200, then

200 = 4x ( divide both sides by 4 )

50 = x


Related Questions

Leo reads 10 pages in 1/3 hours What is the unit rate for pages per hour

Answers

Answer:

30 pages per hour

Step-by-step explanation:

Leo can read 10 pages in 20 minutes.

60 minutes in a hour

20 x 3 = 60

10 x 3 = 30

You are thinking of withdrawing all your funds; $45,000 from your 401 (k) at age 54. The normal tax rate for you would be 28%. The rules for withdrawing funds before the age of 59 1/2 is a 10% penalty. How much would you save if you waited until age 59 1/2?

Answers

Until the age of [tex]59.5[/tex] years, the amount saved from the withdrawal of funds is [tex]\$3,600.[/tex]

Used the concept of tax which states that,

A tax is an obligatory payment made by the taxpayer to the government in respect of the income earned in the previous year.

Given values:

Amount of funds: [tex]\$45,000[/tex]

Normal tax rate: [tex]20\%[/tex]

Penalty rate at [tex]59.5[/tex] years: [tex]10\%[/tex]

Step-1; Computation of after-tax amount paid at 54 years:

[tex]A_1= \text{Amount of funds} \times (1 - \text{Tax rate})[/tex]

[tex]= \$45,000 \times (1 - 0.2)[/tex]

[tex]= \$36,000[/tex]

Step-2; Computation of after-tax amount paid at 59.5 years:

[tex]A_2 = \text{Amount of funds} \times (1 - \text{Tax rate}) (1 - \text{Penalty rate})[/tex]

[tex]= \$45,000 \times (1 - 0.20) \times (1 - 0.10)[/tex]

[tex]= \$32,400[/tex]

Step-3; Computation of the amount saved;

[tex]\text{Amount saved} = A_1 - A_2\\= \$36,000 - \$32,400\\= \$3,600[/tex]

Therefore, the amount  [tex]\$3,600.[/tex] was saved with the amount of [tex]\$36,000[/tex] paid-in [tex]54[/tex] years and the amount of [tex]\$32,400[/tex] paid-at [tex]59.5[/tex] years.

Learn more about taxes in the related link:

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HEP I WILL GIVE BRAINLIEST!!!

Answers

Answer:

dot 3

Step-by-step explanation:

Please help Math answers

Answers

Answer:

on example 1, both are right triangles.

I will give you brainliest, if you provide an accurate explanation.

Please include a thoughtful answer.

If not, I WILL report you.

1. Find the sqrt(i) and see if there is anything interesting that comes up.

2. Prove that complex numbers are closed under addition, subtraction, division, and cube roots

Answers

Answer:

sqrt(i) =0.707106781 + 0.707106781 i

Most of the numbers we know, and work with, are Real Numbers. The Real Number System includes counting numbers, fractions, terminating decimals, positive numbers, negative numbers, zero, repeating decimals, never ending and non-repeating decimals, numbers that are expressed as radicals, and even pi (π).

The natural numbers are the set of counting numbers

• There are infinitely many numbers in a set of numbers.

• The natural numbers are "closed" under addition and multiplication.

The addition of two natural numbers creates another natural number.

The multiplication of two natural numbers creates another natural number.

closed under addition and multiplication.

BUT ...

The subtraction of two natural numbers does NOT necessarily create another natural number

The division of two natural numbers does NOT necessarily create another natural number  

The whole numbers are the set of counting numbers (natural numbers) along with zero

   

• There are infinitely many numbers in this set of numbers.

• The set of whole numbers is "closed" under addition and multiplication.

Integers:

• The integers are the set of all of the natural numbers,

    plus their additive inverses and zero

• The integers are "closed" under addition, multiplication and subtraction,

    but NOT under division

Rational Numbers:

• The rational numbers are the set of numbers which can be expressed as a ratio

    (a fraction) between two integers.

• Integers are rational numbers since 5 can be written as the fraction 5/1.

• Decimals which terminate are rational numbers.

• Decimals which have a repeating pattern are rational numbers. 1/3 = 0.3333333...

• The rational numbers are "closed" under addition, subtraction, and multiplication. Under division, we run into the problem of division by 0, which makes the statement that "the rationals are closed under division" false. Some texts state that "the rationals are closed under division as long as the division is not by zero" which is a true statement.

Irrational Numbers:

The irrational numbers are the set of number which can NOT be written as a ratio (fraction).

• Decimals which never end nor repeat are irrational numbers.

• Irrational numbers are "not closed" under addition, subtraction, multiplication or division.

• Examples of irrational numbers: rad2, π

This is figured out by first figuring out that:

√(√(i)) = [tex]i^{1/4\\}[/tex]

Let [tex]\sqrt{i}[/tex] be a + b[tex]i[/tex].

Square both sides to get [tex]i[/tex] = (a + b[tex]i[/tex])(a + b[tex]i[/tex])

So, [tex]i[/tex] = a² - b² + 2ab[tex]i[/tex]

a² - b² is the real part. The real part is 0.

0 + [tex]i[/tex] = a² - b² + 2ab[tex]i[/tex]

a² - b² = 0

[tex]i[/tex] = 2ab[tex]i[/tex]

2ab = 1

ab = 1/2

b = 1/2a

Now, since a² - b² = 0,

a² - (1/2a)² = 0

a² - 1/(4a²) = 0

[tex]\frac{(4a^{4}-1 )}{4a^{2} }[/tex] = 0

That means the numerator MUST be 0.

[tex](4a^{4}-1 )}[/tex] = 0

[tex]4a^{4}[/tex] = 1

[tex]a^{4}[/tex] = 1/4

a = ± [tex]\frac{1}{\sqrt{2} }[/tex]

if a = [tex]\frac{1}{\sqrt{2} }[/tex] , then b = [tex]\frac{1}{\sqrt{2} }[/tex]

If a = -[tex]\frac{1}{\sqrt{2} }[/tex] , then b = -[tex]\frac{1}{\sqrt{2} }[/tex]

So, it's either a = -[tex]\frac{1}{\sqrt{2} }[/tex]  and b = -[tex]\frac{1}{\sqrt{2} }[/tex] , or a = [tex]\frac{1}{\sqrt{2} }[/tex]  and b = [tex]\frac{1}{\sqrt{2} }[/tex]

That's why sqrt(i) =0.707106781 + 0.707106781i, or sqrt(i) = -0.707106781 - 0.707106781i

what dose a and x equal
2³x 5- (√-1) a+ 5a - 3÷ x³

Answers

The terms in which value of x when substituted leaves final value of p(x) = "0".

Here, x - 2 is factor. So value of x is 2.  

Substituting value of x we get,

p(x) = x3 - 3x + 5a

p(2) = 2*3 - 3(2) + 5a

0+ 8-6 + 5a

-2 = 5a

a= -0.4

Plz mark me as brainliest

Segment FB is graphed on the coordinate plane where Fis (- 7, - 4) and B is (5, 2) . If point A is graphed of the way from F to B , where is point A located ? 3/4 of the way from F to B, where is point A located?​

Answers

Answer:

Step-by-step explanation:

7, 1

Answer for brainliest!

Answers

Answer:

-5, -6, -7, -8, -9, -10, -11

Step-by-step explanation:

Answer:

-12<x<-9/2

Step-by-step explanation:

2x+9<o

x>-12

-12<x<-9/2

Frederick is training for a triathlon and wants to focus on swimming this week. He can swim 25 yards in 23 seconds. He set up a proportion to determine how long it would take him to swim 175 yards at this rate. Which proportions can be used to determine how long it would take him to swim 175 yards?

Answers

Answer:

161secs

Step-by-step explanation:

If Frederick can swim 25 yards in 23 seconds, then:

25 yards = 23 seconds

To determine how long it will take him to swim 175yards, we will say:

175 yards = x

Equating both expression:

25 yards = 23 seconds

175 yards = x

Cross multiply

25x = 23*175

25x = 4025

Divide both sides by 25

25x/25 = 4025/25

x = 161 secs

This means that it will take Frederick 161 secs to swim 175 yards

I need the answer real quick will someone help me

Answers

More info plz there is no context

x/3 + 5 = 6.8

The x/3 is a fraction! please I need an answer!!!

Answers

Answer:

x=5.4

Step-by-step explanation:

x/3+5=6.8

     -5  -5

__________

x/3= 1.8

 *3

________

x= 5.4

the number 0.16 to 4 significant figures is?​

Answers

Answer:

0.1600

Step-by-step explanation:

0.16 has 2 significant figures.  To make it 4 significant figures, add two trailing zeros.

Use rounding to estimate the sum.

Estimate the sum.
78.9+71.2

Answers

Answer:

150

Step-by-step explanation:

add 79+ 71 because you rounded to get that number then add :)

150

When estimating you just round off the numbers so, 78.9 becomes 79 and 71.2 becomes 71 so, 79 + 71 = 150.

Samual has a collection of 80 marbles. in the collection, 20% of the marbles are red and the rest are blue. which statement accurately describes Samuels marble collection

Answers

Answer:

16

Step-by-step explanation:

plz plz plz help me quick i got 10 mins

Answers

Answer:

y=x+6

Step-by-step explanation:

Miss Owens plans to join golds gym there is a one time registration fee of $75 and a monthly charges $15 write an equation to represent the situation. Be sure to identify the slope and the Y intercept remember your equation must be in slope intercept form Make a table for three points

Answers

ANSWER: y=75x+15

Srry if I'm wrong

Answer:

i believe that the right equation is y = 15x + 75 lol

Step-by-step explanation:

so slope intercept form, y = mx + b, means that y is not known yet. in this problem, since we don't know how many months miss owens is planning on, we don't know the total. so, the total will be represented by y. next, like i said before, since it is unknown how many months she will be paying for, that can be represented by a variable too, x. so now we have y = 15x + b. and the last part of the equation would be 75, which replaces b. so, the final equation is y = 15x + 75. and the slope is 15, the y intercept is 75, and the x intercept is -5. :) hope this helps!


PLEASE HELP ME!!

Which estimation technique will yield a solution that is the farthest from the actual product of (-14.89)(1.35)

A) front-end estimation

B) rounding to the nearest tenth

C) rounding to the nearest whole number

D) compatible numbers

Answers

Answer:

C sorry if im wrong

Step-by-step explanation:

its what i think

Answer:

A. front-end estimation.

Step-by-step explanation:

I got it right on the test. It'd be appreciated if this was marked as brainliest.

Makinzee bikes 64.4 miles in 4 hours. What is her average rate of miles per hour?


Pls help

Answers

Answer:

16.1 mph is your rate

Step-by-step explanation:

Answer:

16.1 per hour

Step-by-step explanation:

just divide the mile by the hours.

64.4 / 4

At Supercuts, it costs $8.96 for a kid's haircut and 6 times as much for a woman's hairstyling. Choose the answer that correctly completes the statement.



It would cost the 4 kids and mom of the Wilson family ____________ to get all of the kids' haircuts and the mom's hair styled.

Group of answer choices

89.60

896.00

8.96

69.80

Answers

Answer:

So the correct answer for that would be 89.6

$89.60

8.96 x 4 = 35.84 - The cost of the kids combined

8.96 x 6 = 53.76 - the cost of the mom

35.84 + 53.76 = 89.60

U2 L5 Modeling Equations With Variables On Both Sides 1) Solve 5x−4 = 3x +8. a. Model. b. Perform the step to have variables (circles) on only one side. c. Write the resulting step. d. Perform the step to have the variables (circles) alone on one side. e. Write the resulting step. f. Divide the variables (circles) and numbers (squares) into equal groups. g. Show the value of one group. 2) Solve −4x +7 = −7x−8. a. Model. b. Perform the step to have variables (circles) on only one side. c. Write the resulting step. d. Perform the step to have the variables (circles) alone on one side. e. Write the resulting step. f. Divide the variables (circles) and numbers (squares) into equal groups. g. Show the value of one group.

Answers

Answer:

x = 6

x = -5

Step-by-step explanation:

Solving (1)

5x - 4 = 3x + 8

Bring variables to one side

5x - 3x = 8 + 4

The result is

2x = 12

Solve for x

½ * 2x = ½ * 12

x = 6

Solving (2)

-4x + 7 = -7x - 8

Bring variables to one side

7x - 4x = -7 - 8

The result is

3x = -15

Solve for x

⅓ * 3x = -15 * ⅓

x = -5



Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula.
The perimeter is 44 in, and the length is 14 in.
The width of the rectangle is
in

Answers

Answer:

The width of the rectangle is 8in

Step-by-step explanation:

Given parameters:

     Perimeter  = 44in

     Length  = 14in

Unknown:

Width of the rectangle  = ?

Solution:

The parameters given can be used to determine the unknown dimension;

        Perimeter of a rectangle  = 2 (L + W)

L is the length

W is the width

   Input the parameters and solve;

         44  = 2 (14 + W)

         44  = 28 + 2W

          2W  = 16

            W = 8in

The width of the rectangle is 8in

Solve the system of linear equations by graphing.
y=-x+4.
y= 2x – 8

Answers

Step-by-step explanation:

suppose,x=1,2 .so y=1+4=5,2+4=6...eq..(I)

and y=2×1-8=-6,y=2*×2-8=-4

now plot in graph where they intercept with each other i.e x and y

I could plot but it's difficult here..and remember u can suppose any point as x for y

After solving the equations for x and y the value of x is 4 and the value of y is 0.

What is an equation?

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given equations in the question,

y = -x + 4   (i)

y = 2x - 8   (ii)

Solve the equation for x and then solve it for y as well,

-x + 4 = 2x - 8

-x -2x = -8 -4

-3x = -12

x = 4

Substitute this in equation (i)

y = -4 + 4

y = 0

Therefore, the points are (4, 0)

To know more about equations:

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Which one?
A. B. C. or D? ​

Answers

Answer:

C

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

step-by-step explanation

can someone please help me with this question

Answers

Answer:

60 in^3

Step-by-step explanation:

You just multiply the base by the height.

Answer:600

Step-by-step explanation: hope this helps you

The price of a television increased from $325 to $390. By what percentage was the price of the television increased?

Answers

Answer: 13.76 percent

Step-by-step explanation:

11 is what percent of 41?

Answers

Answer: What do you mean?

Is this even correct question?

Answer:

4.51

Step-by-step explanation:

you have to divide

CMONNN I NEEDDDDD HELP !!!!

Answers

Answer:

My answer will be 3.

Step-by-step explanation:

If CD = AB and AB = 8, then CD = 8

Answers

Answer:

sure

Step-by-step explanation:

That’s correct! Good job :)

Can someone help me please

Answers

Either C or A, I know it’s not too much help but risk it for the biscuit on C

Answer:

its c

Step-by-step explanation:

took the testisk...........

4) Simplify: 312 = 34
A
38
B
9.176
33
18

Answers

Answer:

D6td6z6rduyxux7ydy7diyxyixyixuo is a solution of the linear equation 5x and

B 9.176 is the answer
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