Find the variation constant and an equation of variation for the given situation.

y varies directly as x, and y = 7 when x = 1/2.

Answers

Answer 1

Answer:

[tex]\displaystyle y=14\cdot x[/tex]

Step-by-step explanation:

Directly Proportion

It's said that y varies directly proportional as x, if:

[tex]y=k\cdot x[/tex]

Where k is a constant of proportionality.

We know that y=7 when x=1/2.

Using the above condition, we can find the value of k:

[tex]\displaystyle 7=k\cdot \frac{1}{2}[/tex]

Solving for k:

k=14

Thus, the equation is:

[tex]\boxed{\displaystyle y=14\cdot x}[/tex]


Related Questions

(-5,4) and (1,6)
y-6 =? plz help me

Answers

Answer:

(-5,4) and (1,6) are cordanites on a graph 1st square is ++ 2nd is +- 3rd is -- and 4th is -+

Step-by-step explanation:

(AICE MATH) i need help please

Answers

Answer:

How can i help?

Step-by-step explanation:

In efforts of improving their orofit margins, a company is considering creating their own manufacturing plant for their product. It had a start-up cost of 25,000 to build the plant. This plant will drop the production cost down to $15 per item. If each item sells for $50, then how many items would it take to get an overall profit of $100,000 for the year?

Answers

Answer:

To get an overall profit of $100,000, then 3,571 items is needed to be produced

Step-by-step explanation:

Mathematically;

Profit = Revenue - Production cost

In the question, we are told that the profit we are expecting is $100,000

Let the number of items to be produced for sales be x items

Now let’s look at the production cost ;

The production cost will be number of items for sale * production cost = 15 * x = $15x

Now, we need to add the start-up cost to the production cost to get the total amount spent on production;

Mathematically the total amount would be = $25,000 + $15x

Let’s look at the revenue;

The revenue will be selling price of each item * price of each item;

Mathematically, that would be 50 * x = $50x

So therefore;

50x - (25,000 + 15x) = 100,000

50x -25,000 -15x = 100,000

35x = 100,000 + 25,000

35x = 125,000

x = 125,000/35 = 3571.42 which is approximately 3,571 items

PLSSSSSS!!!! HELP ME I WILL MARK YOU!!!!!!! MATH!!!!!!!!!!!!!!

Answers

Answer:

-24

Step-by-step explanation:

-1(3^2)+(-15)

  -9+(-15)

      -24

Answer:

-24

Step-by-step explanation:

if n=-1, p=3, and q=-15, then the equation would be -1(3)^2+(-15)

Follow PEMDAS.

-1(3)^2+(-15)

-1x3^2-15

-1x9-15

-9-15

**-24**

hope this helps! : )

PLEASE HELP LOTS OF POINTS I HAVE MADE THIS TWO TIMES GOT THE OTHER ONE TO GET 27 POINTS!

The sequence that proves shape I is similar to shape II when applied to shape I is a reflection across the x or y axes

, followed by a translation 4,5,6 or 7

units right and 2,3,4 or 5

units down, and then a dilation by a scale factor of 0.5 or 1 or 1.5 or 2

.

Answers

Answer:

-4 an -3 11 4 9

Step-by-step explanation:

Answer:

1) reflection across the x-axis

2) 7 units right

3) 2 units down

4) dilation by a scale factor of 2

Step-by-step explanation:

plz help will award brainliest

Answers

Answer:

After 5 hours.

35 bacteria cells.

Step-by-step explanation:

Andy’s population is represented by [tex]B=6x+5.[/tex]

Samantha’s population is represented by [tex]B=2^x+3[/tex]

Where B represents the total population given the number of hours x.

We want to find at what hour will their population be the same. We are told to use graphing technology.

Graphing them, we will get the graphs below.

Graphically, their population will be the same where the two graphs intersect.

So, we can see that they intersect at (5, 35).

Therefore, after 5 hours, the total number of bacteria cells for both experiments will be the same.

And the total number of bacteria at that time will be 35 bacteria cell.

If a number is odd, then it has a remainder of 1 when divided by 2.
Which is the hypothesis of the conditional?

Answers

Answer:

The hypothesis of the conditional is "A number is odd".

Step-by-step explanation:

The statement can be represented by the following proposition:

[tex]P \implies Q[/tex] (Eq. 1)

Where:

[tex]P[/tex] is the hypothesis of the proposition.

[tex]Q[/tex] is the conclusion of the proposition.

[tex]\implies[/tex] - Binary connector, which means "If...., then...."

In this case, we present what each propostion represents:

P = A number is odd.

Q = It has a remainder of 1 when divided by 2.

In consequence, the hypothesis of the conditional is "A number is odd".

Help0oejelensb skeidnekendidne helps 10101

Answers

Answer:

b = (looks to be) -3.5

m = [tex]\frac{1}{2}[/tex]

Type of Slope = Positive, linear

Equation = y = [tex]\frac{1}{2}[/tex]x - 3.5

10(6 + 4) ÷ (2³.7)² =​

Answers

Answer:

25/784

Step-by-step explanation:

Jules cut 2.75 inches from a metal rod. The metal rod is now 10.5 inches long. Which equation can be used to find the length of the metal rod before it was cut? Group of answer choices

Answers

L = 10.5 + 2.75

What are the answer choices?

Answer:

The solution for the equation 1,056=b+670

Step-by-step explanation:

What are the solutions of x^2-2x+5=0? A. X=2i or x=-2i. B. X=1+2i or x=1-2i. C. X=2+i or x=2-i. D. X=2+2i or x=2-2i

Answers

Answer:

B. x=1+2i or x=1-2i.

Step-by-step explanation:

The equation is given as;

x²-2x+5=0

complete the square method to find value of x as;

x²-2x = -5

x²-2x + 1 = -5 + 1

x²-2x +1 =-4

( x-1 )² = -4

x-1 = ±√-4 ---------where √-1 = i

x-1 =± 2i

So;

x-1 = + 2i

x= 1+2i

or

x= 1-2i

x= 1-2i

What is the value of x?

Answers

Answer:

10

Step-by-step explanation:

5x - 17 = 3x + 3 (vertically opposite angles)

5x - 3x = 3 + 17

2x = 20

x = 20/2

x = 10

hope it helps you!

Can ahhhh make what yeywywywy

Help asappp , What is the slope of a line perpendicular to the line whose equation is
3x + 6y = –18. Fully reduced

Answers

Answer:

2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + 6y = - 18 ( subtract 3x from both sides )

6y = - 3x - 18 ( divide all terms by 6 )

y = - [tex]\frac{1}{2}[/tex] x - 3 ← in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2

Slope of the line perpendicular to given line 3x + 6y = –18 is 2

What is slope intercept form and relation between slopes of two perpendicular lines ?

The slope intercept of a line is given : y = m x+ c

y is y coordinate, x is x coordinate, m is the slope of the line

c is y- intercept of the line

If given that the slope of two lines are m₁ and m₂ then these lines are perpendicular, if the product of their slopes is -1 or  m₁ *m₂ = -1

Given line is 3x + 6y = –18

Subtract 3x from both sides

⇒ 3x +6y -3x = -3x-18

⇒  6y = -3x-18

y =(-3/6)x -18 /6 = (-1/2) x -3

comparing it with slope intercept , slope = -1/2

let the slope of line perpendicular to given line is m

then m.(-1/2) = -1

   ⇒ m = 2

Slope of the line perpendicular to given line is 2

Also, learn more about the slope intercept form from the link below:

brainly.com/question/9682526

#SPJ2

(Help me with this test question) Lines l and m are intersected by transversal t and l || m. Lines l and m are vertical with l to the left of m. Transversal t intersects them both slanting down and right. The angles formed above t with l and m from left to right are angles 1, 3, 5, and 7. The angles formed below t with l and m from left to right are angles 2, 4, 6, and 8. Select all the angles that are supplementary to ∠1. Group of answer choices ∠3 ∠4 ∠6 ∠5 ∠7 ∠8

Answers

Answer:

∠6 and ∠7

Step-by-step explanation:

To be complementary, they both in total have to sum 180°, and that mean that they have to form a com pleat and straight line. ;)

The supplementary angles of angle 1 are angles 2 and 3.

Two Angles are Supplementary when they add up to 180 degrees.

      From given figure,

It is observed that sum of angles 1 and 2 is equal to 180 degrees.The sum of angles 1 and 3 is equals to 180 degrees.

                   [tex]\angle1 +\angle2=180\\\\\angle1 +\angle3=180\\[/tex]

Thus , the supplementary angles of angle 1 are angles 2 and 3.

Find out more information about the supplementary angles here:

https://brainly.com/question/12919120

What is the value of x in the equation
3x - 4y = 65:
when y=4?
Ox=13 1 / 2
x=21 1 / 3
X =23
O
x=27

Answers

x=27 because you plug y into the equation and solve for x

what is 63 times 4? pls help

Answers

Answer:

252

Step-by-step explanation:

Hope this helps

Answer:

252

Step-by-step explanation:

need help on finding the perimeter in feet​

Answers

Answer:

30 ft

Step-by-step explanation:

7.5 + 12.5 + 10 = 30 ft

i will give u brainliest!

Answers

Answer:

(DOES NOT BELONG) Is Rational

(DOES NOT BELONG)  Is not Irrational

(DOES NOT BELONG) Is not an integer

(DOES NOT BELONG) Not a Whole

(DOES NOT BELONG) Not Natural

Step-by-step explanation:

This is a fraction with a square root.

Fractions:

Are Not Whole (square root cancels this)

Are Rational BUT since this has a square root, it is not.

Are not natural

Are not integers (Whole numbers that ARE NOT fractions)

So basically from what I have learned, square root cancels literally everything.

Which property of addition is shown in the equation below?

a + bi + 0 + 0i = a + bi
commutative property
inverse property
identity property
associative property

Answers

Answer:

c. Identity property

Step-by-step explanation:

edg 2020

Identity property is used in the equation a+bi+0+0i=a+bi.

What is identity property?

The identity property of addition says that the sum of 0 and any number is that number only.

How to check property?

We have been given the following equation

a+bi+0+0i=a+bi

when we multiply it with 0 we get 0 and the equation becomes

a+bi=a+bi

It shows the identity property of addition.

Learn more about identity property at https://brainly.com/question/1407048

#SPJ2

What is 20% of a $30 haircut

Answers

Answer:

6

Step-by-step explanation:

30 X 0.2=6

Answer:

Step-by-step explanation:

Bill: $30.00

Tip: $6.00

Total: $36.00

8.h=7
108 18 what is h

Answers

Answer:

its 8.7× 108 18

Step-by-step explanation:

ye thats basically it solve it now

Which graph below shows the solution set for the inequality b ≥ 5?
pls help meeeeeeeee

Answers

Answer: we can’t see graphs but I can help you if you show me them

Step-by-step explanation:

. If m∠1 = 50°, find the following: a. m∠2 = ? b. m∠3 = ? c. m∠4 =

Answers

Answer: is there a graph

Step-by-step explanation:

Find the slope of the line through the given points:
(3, 5) and (-2, 7)

Answers

Answer:

slope is -2/5

Step-by-step explanation:

use y2–y1/x2–x1

Answer:

-2/5

Step-by-step explanation:

formula: y2-y1/x2-x1=

7-5/-2-3= -2/5

I will give brainliest to whoever answers this!

Answers

It’s B because (2/3)^3 = 0.2962962963 and if you put that in fraction form you get 8/27 so it’s definitely B

what is the mean of this set
0,100,100,100,100​

Answers

Answer:

80

Step-by-step explanation:

Mean simply means the average. To calculate the average of all these numbers, add them all up together and divide that number by how many numbers you added.

A simple equation you can use is:

[tex]\frac{the sum of the terms}{the number of terms}[/tex]

To calculate the mean of the set : 0,100,100,100,100​

= 0 + 100 + 100 + 100 + 100

= 400 / 5

= 80

The mean of the set is 80.

please answer all these math qestions QUICK DUE IN A HOUR PLEASE HELP !!!!!!!!!!!!!!! 1.A tablet was on sale for 7/8 of the original price. If the original price was $240, what was the sale price?
2.Christian's family went on a road trip. They stopped 9 times for gas. On average, they spent about 8 minutes at the gas station each time they stopped. On their trip, about how much time did they spend stopped for gas?
3.Lisa was late to class 12 times in the month of September. Each time she was late, she missed 3 1/2 minutes of class. How many minutes of class did she miss in the month of September?
4.Alexis hammered a nail into a piece of wood. Each time she hammered the nail, it moved 1/7inch. If she hammered the nail 14 times, how much did the nail move?
5.A 16.2 ounce box of Honey Nut Cheerios costs $4.86. How much did each ounce of the cereal cost, rounded to the nearest cent?
(please help answer all of these please all of these are due today at night ) (all of these are Rational Numbers Word Problems)

Answers

1. 210
2. 72 min
3. 42 min
4. 2 inches
5. I think $3.33
I hope this helps!

Answer:

1, 210.

2. 72 minutes.

3. 42 minutes

4. 2 inches.

5. 3 cents.

Step-by-step explanation:

1. First, divide 240 by 8, which will get you 30, now multiply 30 by 7 and you will get 210 which is your answer.

2.  Your keyword here is times. So you know you will multiply. So just multiply 8 and 9, and your product is 72, so 72 minutes.

3. Multiply 3 1/2 by 12, or convert your fraction to a decimal, which in decimal form is 3.50. Your product would be 42.

4. Multiply 1/7 by 14, you should get 14/7, which is an improper fraction. Divide 14 by 7 and you will get 2 inches.

5. So here you have to find the unit rate. Divide the price by the quantity.

4.86/16.2=0.297530865

Round the number up, which would be 3. So it would be 3 cents

Hope this helps :)

A system of equations can be written to represent coln and pricing problems. True or False.
O True
O False

Answers

I think it’s True. Look it up.

Please help me help me

Answers

1). 1 1/3 • 1 1/2= 2 5/8
2) 80 • 3/5= 32
3)5 1/3 • 9= 48
4) 1 7/8 • 1/6= 15/48

Hey, I need help with a math question. thank you <3

Answers

Answer:

B

Step-by-step explanation:

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