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

The graph above shows the amount of protein
supplied by five different food products, A, B, C, D,
and E, as a percentage of their total weights. The
costs of 10 grams of products A, B, C, D, and e are
$2.00, $2.20, $2.50, $4.00, and $5.00, respectively.
Which of the five food products supplies the most
protein per dollar?

Answers

The answer is 2.00 dollars

Answer:

Can you explain a faster way to do this problem rather than figuring out the grams of protein per dollar for each one? Thank you!

The graph above shows the amount of protein

supplied by five different food products, A, B, C, D,

and E, as a percentage of their total weights. The

costs of 10 grams of products A, B, C, D, and E are

$2.00, $2.20, $2.50, $4.00, and $5.00, respectively.

Which of the five food products supplies the most

protein per dollar? (question 17, Section 4, practice PSAT)

Step-by-step explanation:

Can you explain a faster way to do this problem rather than figuring out the grams of protein per dollar for each one? Thank you!

The graph above shows the amount of protein

supplied by five different food products, A, B, C, D,

and E, as a percentage of their total weights. The

costs of 10 grams of products A, B, C, D, and E are

$2.00, $2.20, $2.50, $4.00, and $5.00, respectively.

Which of the five food products supplies the most

protein per dollar? (question 17, Section 4, practice PSAT)

Last year, Deanna bought 225 lamps when customers needed 250 lamps. This year, she bought 300 lamps but only sold 200 lamps. Which set of statements about the percent errors for the two years is true?
The percent error for this year was lower. Deanna estimated better last year.
The percent error for this year was higher. Deanna estimated better last year.
The percent error for this year was lower. Deanna estimated better this year.
The percent error for this year was higher. Deanna estimated better this year.

Answers

Answer:

The percent error for this year was higher. Deanna estimated better last year.

Step-by-step explanation:

Answer:

Step-by-step explanation:

6jkyuilyi

If you buy a car wash at the gas station for $6.00, the cost per gallon is $2.35. Use your equation from the previous question to find how many gallons of gas you could buy with 40 dollars.

help asap if you do you will get the crown thingy

Answers

Answer:2.35x+6.00=y

x=number of gallons of gas

Step-by-step explanation:

y=3x-5 identify y intercept within equation

Answers

Answer: -5

Step-by-step explanation: alrite so when u graph it, the line crosses -5 on the y axis

Answer: -5

Step-by-step explanation:

When written in slope intercept form, which is y=Mx+b, b is the y intercept so in this case it would be -5

A train is traveling at 50 miles per hour. What is the train?

Answers

Answer:

The speed of the train = 50 mph = 50*1.61 = 80.5 km/hr = 80.5*1000/3600 = 22.36 m/s. The speed of a train is 54 km/h excluding its halting time.

Hope this helps! :)

Geometry homework!
Hiii I’m having a really hard time with my homework, by any chance do you know the right answer?
Thank you!

Answers

Answer:

D

Step-by-step explanation:

The numbers between the < , > show the change from the preimage to the image. So, <-2,3> would be the x - 2 and the y + 3.

So, A(5,6) -> A'(3,9)

B(6,-3) -> B'(4,0)

C(7,2) -> C'(5,5)

If y = -5 when x = 2, find y when x = 8. *

Answers

Answer:

y=1

Step-by-step explanation:

you add how many you went to one side

What is the equation of the line described below written in slope-intercept form? the line passing through point (2,4), parallel to the line whose equation is y = x
A. y=x + 2
B. y = -x + 2
C. y=-X​

Answers

Answer:

y = x + 2

Step-by-step explanation:

Please read and analyze the prompt and answer both A and B to receive full credit. Both parts of the question must be written in a complete sentence.

a. On a hot day, a football team drank an entire 50- gallon cooler of water and half as much again. How much water did they drink?

b. Jada has 12 library books checked out and Han has LaTeX: \frac{1}{3}1 3 less than that. How many books does Han have checked out?

Answers

Answer:

b. Graph each equation. c. How long will it be before Alberto has read more ... Since the answer works in both equations, (3.1, 115) ... First, solve the first equation for y to get 2x − 6 = y.

Evaluate the following expression. $$(10 + 2) \div 6 + 5^3$$

Answers

Answer:5

Step-by-step explanation:

If n is an odd integer, which equation can be used to find three consecutive odd integers whose sum is 15?

Answers

Answer:

n+(n+2)+(n+4)=15

Step-by-step explanation:

Let n= the smallest odd integer

n+(n+2)+(n+4)=15

n=3

3^100 dan 10^50 lebih besar mana? ​

Answers

Answer:

The bigger is 10 to the power of 50 or 10^50

Step-by-step explanation:

3 to the power of 100 = 3100 = 51537752 0732011331 0364611297 6562127270 2107522001. = place digits is 50

10 to the power of 50 = 1050 = 1 0000000000 0000000000 0000000000 0000000000 0000000000. = place digits is 51

PLEASE HELP
find value of x and y

Answers

Given :

There is a quadrilateral.Two sides of the quadrilateral are parallel .Four angles are 96° , 2x° , 94° & ( 3y + 44 )°.

To Find :-

The value of x & y .

Solution :-

Here , 96° & 2x° are co - interior angles and we know that the sum of co - Interior angles is 180°.

⇒ 96° + 2x = 180° .

⇒ 2x = 180° - 96° .

⇒ 2x = 84° .

⇒ x = [tex]\red{\sf \dfrac{84^{\circ}}{2}}[/tex]

[tex]\bf\longmapsto x = 42^{\circ}[/tex]

Hence value of x is 42° .

Similarly , 94° & ( 3y + 44) ° are co- interior angles

⇒ 94° + ( 3y + 44)° = 180° .

⇒ ( 3y + 44 )° = 180° - 94° .

⇒ 3y + 44° = 86°.

⇒ 3y = 86° - 44° .

⇒ 3y = 42° .

⇒ y = [tex]\sf \red{\dfrac{42^{\circ}}{3}}[/tex]

[tex]\bf\longmapsto y = 14^{\circ}[/tex]

Hence the value of y is 14°.

Please help I am so confused!

Answers

Answer:

D

Step-by-step explanation:

If you match what the numbers say you will see the answer is D

45 + 15(n − 1) for n = 6

Answers

Answer:

120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Plug in what you know so: 45+15(6-1)

So, following the order of operations, you do the parentheses first so: 45+15(5)

Then, still following the order of operations, you'd multiply from left to right. So: 45+75

Then, you add from left to right, so you get 45+75=120

Your answer is 120.

A-55
B-65
C-75
D-90
Please help meee it’s a test

Answers

The answer would be B.

angle 2 = 90

180 (total degrees in a triangle) - 90 - 25 = 65

The answer is b the angle is 65

PLEASE HELP ME ASAP I HAVE 4 QUESTIONS BRAINIEST TO WHO IS RIGHT

Answers

Answer:

B: Distinct lines

Step-by-step explanation:

If you go to desmos graphing calculator add put the equations in you can see they never interesct

Answer:

B) distinct parallel lines

Step-by-step explanation:

First, place both equations in slope-intercept form:

y + 6 = [tex]-\frac{1}{3}[/tex] (x - 15)

y + 6 = -1/3x + 5

y = -1/3x - 1

2x + 6y = 24

6y = -2x + 24

y = -2/6x + 4

y = -1/3x + 4

Because they have the same slope and different y-intercepts, they are parallel.

Charlene Langhorst's gross weekly salary is $680. Her federal withholding is $101.62. Her employer takes out the standard rates for FICA (Social Security/Medicare). The state tax is 1.5% of gross pay. Each week she pays $32.40 for medical insurance. What are Charlene's total weekly deductions? *

Answers

Answer:

Total deductions =  $196.24

Step-by-step explanation:

Gross weekly salary = $680

federal holding = $101.62

FICA standard rate = 7.65% of gross earnings

= 7.65% of $680 = 0.0765 × 680 = $52.02

∴ FICA deductions = $52.02

state tax = 1.5% of gross pay = 1.5% of $680

state tax = 0.015 × 680 = $10.2

∴ state tax = $10.2

Medical insurance = $32.40

Total Deductions = 101.62 + 52.02 + 10.2 + 32.40 = $196.24

Write each equation in slope intercept form the graph

Answers

I believe the answer is 4/5x +2. Sorry if I’m wrong.

Help me out fast.....

Answers

Answer: 1,000

Step-by-step explanation:

1,000 .. hope that helps u out :)

Find the area of the rectangle. The length is 1.25 and the width is 0.8 inches

Answers

The area is 1. Hope this helps.:)

A department store purchases screen-printed t-shirts at a cost of $5 per shirt. They mark up the price 150% (making the selling price 250% of the store's purchase price) and put them on the sales floor. Every month that a t-shirt doesn't sell, the store reduces the selling price by 25%.Which expression shows the selling price after one monthly price reduction?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost price = $5 per T - shirt

Markup = 150% or cost price

Every month which shirt doesn't sell, selling price drops by 25%

Selling price of Tshirt = (150% * $5) = $7.5

Price after 1 month = (100% - 25%) * $7.5 = $5.625

Hence, the equation could be expressed as :

Price after one month:

(1.5 * $5) - 0.75 * (1.5 * $5)

7.5 - 0.75(7.5)

Answer:

($5)(2.50) – ($5)(2.50)(0.25)

k/4 + 3 = 14

k= ?


k equals what

Answers

Answer:

Step-by-step explanation:

[tex]\frac{k}{4} + 3 = 14[/tex]

Subtract 3 from both sides

[tex]\frac{k}{4} = 14 - 3 \\\frac{k}{4} = 11[/tex]

Multiply both sides by 4 to find k.

k = 11 x 4 = 44

I WILL GIVE BRAINLIEST! Which table of values corresponds to the graph below?

Answers

Answer:

the very bottom graph

Step-by-step explanation:

all of the points listed on the table match the graph

x values is found on the x axis (left to right)

y values are found on the y axis (up and down)

Answer:

see below

Step-by-step explanation:

From graph, points (2, 0) and (0, -2).

slope m = (y₂ - y₁) / (x₂ - x₁)

              = (-2 - 0) / (0 - 2)

              = -2 / -2

              = 1

y-intercept using anyone of the above points and m:

y = mx + b

0 = 1(2) + b

0 = 2 + b

b = -2

Equation of line using m and b:

y = 1x - 2

Use y = 1x - 2 to check the points given in tables:

All points in below table seems to work.

(0, -2)    

-2 = 0 - 2

-2 = -2

(1, -1)

-1 = 1 - 2

-1 = -1

(2, 0)

0 = 2 - 2

0 = 0

(4,2)

2 = 4 - 2

2 = 2

theirs 2 questions please help?

Answers

Answer:

"past" is one

Step-by-step explanation:

Answer:

past is one okkkk kkkkjjjjj

I cannot figure out how to solve this, we did not cover it in class today and it is on tonights homework.

Answers

Answer:

x = 32.5

y = 65

Step-by-step explanation:

y = 65 degrees

65 and y are the base angles in an isosceles triangle ( single lines)  so they are equal

y+z = 180 since they form a straight line

65+z = 180

z = 180-65

z = 115

The second triangle is also an isosceles triangle so the base angles are the same as shown by x

180 = x+x+z

180 =2x+ 115

65 = 2x

Divide by 2

x = 32.5

3. Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16 more than one
cupcake, and the total cost of the order was $53.50. What was the price of each cupcake?
a) Define a variable for the cost of one cupcake.
b) Write an expression to represent the cost of a layer cake.
c) Write and solve an equation.
d) Interpret your solution within the context of the problem.

Answers

Answer:

$2.14

Step-by-step explanation:

x =  price

24x+(x+16) = 53.5

25x+16 = 53.5

25x+53.5

x=53.5/25=2.14

I just need help with 1-8

Answers

Answer:

1. Reflexive Property of equality

2. Addition Property of equality

3. Subsitution

4. Definition of Congruence

5. Transitive Property

6. Division of equality

7. Segment Addition postulate

8. Subtraction of equality

Step-by-step explanation:

Jason and Henry go to the movie theater and purchase refreshments for their friends. Jason spends a total of $66.75 on 12 drinks and 1 bag of popcorn. Henry spends a total of $82.50 on 3 drinks and 10 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of popcorn, to the nearest cent.

Answers

Answer:

The cost of one drink is $5

Step-by-step explanation:

3x-120x=82.50-667.5

120x-3x=667.50-82.50

117x=585

x=5

?×3/4=-6
what does ? equal
please answer asap

Answers

Answer:

-8

Step-by-step explanation:

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