Suppose that y varies directly with x and y=12 when x=-2. What is x when y=-6
Please help me!!

Answers

Answer 1

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

You can work this several ways.

1) Consider the factor that gets you from the y-value of the known pair to the y-value of the unknown pair. Here, that factor is -6/12 = -1/2.

Then the unknown value of x is the known value multiplied by that same factor:

  x = (-1/2)(-2)

  x = 1

__

2) You can write the equation for a "varies directly" relationship and solve for the constant of proportionality. Then you can use that equation to find the unknown value of x.

  y = kx . . . . . . . . . . . . . . y varies directly with x

  k = y/x = 12/-2 = -6

Now we know ...

  y = -6x

Filling in the new value for y, we have ...

  -6 = -6x

  1 = x . . . . . . divide by -6

__

3) You can write a proportion. Since we want to find a value for x, it is convenient to put that in the numerator.

  -2/12 = x/-6

Multiplying by -6, we get ...

  (-6)(-2)/12 = x = 1


Related Questions

Greta writes a fraction that is greater than 1 and less than 2. Jullo writes a fraction that is greater than 3 and less than 4. Greta and Julio
find the product of the fractions they write, which statement about the value of the product must be true?
The product is greater than 1 and less than 2.
The product is greater than 3 and less than 4.
The product is greater than Julio's fraction
The product is less than Greta's fraction,

Answers

The product is greater than Julio’s fraction because if you multiply two numbers within those ranges it’s obviously gonna be greater than Greta’s fraction but if it’s bigger than both of their fractions. I did 1 3/4 x 3 3/4 (1.75x3.75) to fit the requirements which equals 6.56.

Find the Unit Rate.
216 diving students to 12 instructors

Answers

Answer: 216 diving students to 12 instructors = 18 students per instructor.

Step-by-step explanation:

-7x = -28
solving one step equations
show your work

Answers

Answer:

x=4

Step-by-step explanation:

-7x=-28

-7     -7

x=4

Divide both sides by -7.  A negative divided by a negative will give you a positive. So the answer would be x=4.

Answer:

x=4

you divide both sides by -7 to get the x by itself. -28 divided by -7 is 4.

Hello, I wanted to leave you this photograph of mathematics that I think will be very useful to some of you, observe it​

Answers

Answer:

thanks

Step-by-step explanation:

<3

Find Each Sum.
1) (-12)+7=
2) (-10)+(-7)=
3) (-6)+12=
4) 8+7=
5) 3+4=
6) (-45)+9=

Answers

1) -5
2) -17
3) 6
4) 15
5) 7
6) -36

Chris drove 265 miles using 10 gallons of gas. At this rate, how many gallons of gas would he need to drive 424 miles?

Answers

Answer:16

Step-by-step explanation:

265 / 10= 26.5 miles per gal.

424 miles / 26.5 mpg = 16 gallons

The quadratic function modeling the height of a ball over time is symmetric about the line , where t is time in seconds. Which statement is true about this situation?


A.

The height of the ball is the same after 1 second and 3 seconds.

B.

The height of the ball is the same after 0 seconds and 4 seconds.

C.

The height of the ball is the same after 0.5 second and 5.5 seconds.

D.

The height of the ball is the same after 1.5 seconds and 3.5 seconds.

Answers

Answer:

A. The height of the ball is the same after 1 second and 3 seconds.

Step-by-step explanation:

The quadratic equation function modeling is used to analyze the relationship between variables in the equation. If the ball is at height and t is time then the ball is on symmetric line which will move for initial 1 second then stabilizes at 3 seconds.

What is the slope of the line that passes through the points (-10,8)and (-15,-7)

Answers

Answer:

m = 3

Step-by-step explanation:

Use the slope formula to find the slope  m .

M=3 is the slope to find the m

What is the scale factor of ABC to DEF?
A. 1/2
B. 2
C. 10
D. 10/7

Answers

Answer: B

Explanation: 20/10=2
12/6=2
14/7=2

Express 3/4 in seconds. 30" 45" 50"

Answers

Answer:

45

Step-by-step explanation:

Y=-6x+15 what is the slope of this function?

Answers

Answer:

slope = -6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

The line is moving down negatively, and by using rise over run, we can determine that the slope is -6/1

Water flows through a pipe at a rate of 8 pints per hour. Express this rate of flow in cups per week.

Answers

Answer:

2,688 cups per week

Step-by-step explanation:

Lets begin by figuring out the pints per week/pints per day. Multiplying 8 times 24, we get our daily total of 192 pints per day. Multiply this by 7 and we get a total of 1344 pints per week. We now must convert these pints into cups, which can be done by multiplying the total amount of pints by 2. 1344 times 2 = 2,688 cups

Which of the following numbers is a perfect square?
222
141
196
124

Answers

Answer:

196

Step-by-step explan

A rope is 12 meters long. You cut off 15/6 of the rope. How much is left?
Can you please add a step by step

Answers

Answer:

4.8

Step-by-step explanation:

15/6 is 2.5 whitch when divided by 12 is 4.8 so 12 divided by 2.5 is 4.8

Answer:

4.8 meters

Step-by-step explanation:

[tex]\frac{15}{6} = 2.5[/tex]  12 ÷ 2.5 = 4.8 meters

I hope this helps!

Use the graph below to answer the following question:

What is the average rate of change from x = −4 to x = 1?
A.-3
B.-1
C.0
D.1

Answers

Answer:

The answer is B.-1

Step-by-step:

When you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. f(x) = x2 and f(x + h) = (x + h)2 Therefore, the slope of the secant line between any two points on this function is 2x + h.p explanation:

whoever gets this question right first gets brainiliest
5 people share 1/2 of a jar of salsa equally.
How much salsa does each person get?

Answers

Each person gets 10 salsa. I think...

Write an equation for each of the following phrases or word problems. Solve for the missing variable. a. Two times a number is 16. b. Two plus a number is 28. c. Three is a number divided by 6. d. Samuel is y years old. In 10 years, he will be 27. How old is Samuel? e. A third of a pizza is 400 calories. How many calories in the whole pizza?

Answers

Answer:

2x8=16

2+26=28

he is 17 years old and in ten years he will be 27

Step-by-step explanation:

Answer:

-1200 Calories

-$287 - $175 =$112  

Sanjai was paid $112

Step-by-step explanation:

Is this relation a function? Justify your answer.
10
9
8
7
5
4
3
2
1
1 2 3
5
6 7
8 9 10
O A. No, because two points with the same y value have different x-
values
OB. No, because two points with the same x-value have different y
values
O C. Yes, because every x and y-value is positive,
D. Yes, because the number of x-values is the same as the number of

Answers

Answer:

i don't now

ok

please follow me

Answer: B ( no, because two points with the same x- value have different y)

(3,4),(5,7),(10,6)(10,9)
Their is two point on the x value that is the same but on the y value the points are different.

Convert 139 pounds to kilograms
Round answer to the nearest tenth.

Conversion table:
1 kilogram = 2.205 pounds

Answers

Answer: 63.1

Step-by-step explanation:

Kayla measures a distance of 50 inches. She needs to find the equivalent number of meters. Which conversion factors should she use? Check all that apply.

(A) StartFraction 2.54 centimeters Over 1 inch EndFraction

(B) StartFraction 1 inch Over 2.54 centimeters EndFraction

(C) StartFraction 1 meter Over 100 centimeters EndFraction

(D) StartFraction 100 centimeters Over 1 meter EndFraction

Answers

Answer: A and C

Step-by-step explanation: :)

Answer:

A and C [: (edg 2021)

Step-by-step explanation:

I got it correct on my assignment!

The length of a rectangle is 4 more than the width. The area is 357 square centimeters.
Find the length and width of the rectangle

Answers

Answer:

17*21 = 357

Step-by-step explanation:

Firstly, set up your equation.

x*(x+4)=357

Multiply X by (x+4)

x^2+4x=357

You then subtract 357 from both sides

x^2+4x-357=0

Simplify using the quadratic formula shown, if you need assistance on solving this equation put it into a online calculator, or photomath as it shows the steps taken to solve it.

[tex]\frac{-4+\sqrt{4^2-4\cdot \:1\cdot \left(-357\right)}}{2\cdot \:1}\\[/tex]

The graph shows the cost C in dollars of W pounds of blueberries a proportional relationship. select all the true statements
A 1 pound of blueberries cost $2.75
B 2.75 pounds of blueberries cost $1
C 5pounds of blueberries cost $15
D 12 pounds of blueberries cost $33
E The point (3,9) is on the graph of the proportional relationship

Answers

Answer:

A, D

Step-by-step explanation:

Cost ($) = C

lbs (Blueberries) = W

One pound of blueberries costs $2.75 because to find how much 1 lb is you need to divide by 6.

6 is the number of pounds at that point in the graph, so you divide both the pounds and cost by 6 to find how much 1 lb is.

To find how much 5 lbs costs, multiply both the cost and number of pounds ($2.75 to 1 lb) by 5.

2.75 * 5 is 13.75 (This means C is wrong)

Do the same but with 12 for D

2.75 * 12 is 33, so D is correct

You could do the same method as above for E, but the easier way to do this is to see that the relationship of 3:9 is equal to a 1:3 ratio, which is the same as what the pounds to cost ratio is (which is 1:2.75)

Hope this helps! ^_^

A linear graph is represented by a straight line

The true options are:

A. 1 pound of blueberries cost $2.75 D. 12 pounds of blueberries cost $33

The points on the graph are:

[tex]\mathbf{(x_1,y_1) = (0,0)}[/tex]

[tex]\mathbf{(x_2,y_2) = (6,16.50)}[/tex]

The slope (m) of the graph is:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{16.50 - 0}{6-0}}[/tex]

[tex]\mathbf{m = \frac{16.50}{6}}[/tex]

[tex]\mathbf{m = 2.75}[/tex]

The above means that: 1 pound of blueberries costs $2.75

Hence, (a) is true, and (b) is false

Multiply 2.75 by 5, to get the cost of 5 blueberries

[tex]\mathbf{C(5) = 2.75 \times 5=13.75}[/tex]

This means that: (c) is false

Multiply 2.75 by 12, to get the cost of 12 blueberries

[tex]\mathbf{C(12) = 2.75 \times 12=33}[/tex]

This means that: (d) is true

(e) is false, because:

[tex]\mathbf{\frac{9}{3} \ne 2.75}[/tex]

Hence, the true options are: (a) and (d)

Read more about linear graphs at:

https://brainly.com/question/11804653

Help please number 19

Answers

Answer:

A.4

Step-by-step explanation:

Median is the middle meaning 6th grade got 4 more hours then the 8th graders

Answer:

B-2.5

Step-by-step explanation:

Because the median for the first one is 5 and the median for the second one is 7.5 and 7.5-5=2.5

what is the density of the rectangular prism 3cm 4cm 6cm that weighs 36 grams?

Answers

Answer:

a. 0.5 g/cc

Step-by-step Explanation:

Given:

Measurement of rectangular prism = 3 cm × 4 cm × 6 cm

Mass of rectangular prism = 36 grams

Required:

Density of rectangular prism

SOLUTION:

[tex] Density = \frac{Mass}{Volume} [/tex]

Mass = 36 g

Volume = 3*4*6 = 72 cm³

[tex] Density = \frac{36}{72} [/tex]

Density = 0.5 g/cc

How do you do this question?

Answers

Answer:

B

Step-by-step explanation:

This is a ratio of polynomials.  As n approaches infinity, an approaches 4n / n⁸ = 4 / n⁷, which is a convergent p-series.

Using Limit Comparison Test:

an = (2 + 4n) / (1 + n²)⁴

bn = 4 / n⁷

lim(n→∞) an / bn = 1

The limit is greater than 0, and bn converges, so an also converges.

Can you help me with this one?

Answers

haven’t done this in a while but the first is rational, second is irrational, third is rational, fourth is irrational, fifth is rational, sixth is rational, seventh is irrational

Which line of poetry is marked correctly with weak and strong beats?

Answers

Answer:

2nd answer

Step-by-step explanation:

It has a lot of strong beats and the rhythm sounds better than A and C.

Which of the following numbers is irrational?

Answers

The second one I think

3
Assignment
♡ Find the product of 419 and 321
Find the product of 326 and 124
③ If a mais pay #354 for a book how mac
alle le gay for 7s boots?
④ The price of a big fan is 8494. How
much will 198 big fans cost?
③ Find the product of 3102 and 480
Dictionary Meaning
② Anounced​

Answers

Step-by-step explanation:

1. 419*321=134499

2. 326*124 = 40424

3. 354* 7 = 2478

here mac paid 2478

4. 8494*198= 1681812

here it will cost 1681812

5. 3102*480=1488960

6. announced = to reveal something

What similarity rule can be used to prove the triangles are similar . plz help

Answers

Answer:

SAS

Step-by-step explanation:

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