Given that y varies directly with x, use the specified values to write a direct 1 point
variation equation that relates x and y. x = 24 y=-6*

Answers

Answer 1

Answer:

y = - [tex]\frac{1}{4}[/tex] x

Step-by-step explanation:

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

y = kx ← k is the constant of variation

To find k use the condition x = 24, y = - 6

- 6 = 24k ( divide both sides by 24 )

[tex]\frac{-6}{24}[/tex] = k , that is

k = - [tex]\frac{1}{4}[/tex]

y = - [tex]\frac{1}{4}[/tex] x ← equation of variation


Related Questions

13 Points. Find the perimeter.

Answers

Answer:

15.7 cm

Step-by-step explanation:

The perimeter of the entire circumference is

entire perimeter = 2п r

п = 3.14 (aprox)

r = radius = 3cm

entire perimeter = 2*3.14*3 = 18.84 cm

the entire perimeter of the circumference corresponds to 360 degrees

then,

proportions:

18.84 cm ⇔ 360°

F cm ⇔  300°

F = 18.84*300/360

F = 15.7 cm

The slope of the line below is 5. Which of the following is the point-slope form
of the line?
(-1,3)
5
A. y + 3 = -5(x - 1)
B. y + 3 = 5(x - 1)
C. y - 3 = 5(x+1)
D. Y-3 = -5(x + 1)

Answers

The point-slope form of the line in the graph is y-3 = 5(x+1). The correct option is C.

What is the point-slope form of the line?

The point-slope form of the line is y-y₁ = m( x-x₁)

Here, m is the slope of the line.

The graph given in the question has a slope of 5

It passes through the point ( -1,3)

The point slope form of the line is

y - 3 = 5 ( x - (-1))

y-3 = 5(x+1)

This is represented by option C.

To know more about the Point-slope form of the line

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what are the relative max and min. of this graph?

Answers

Relative Max is 6

Relative Min is -8

Evaluate the function. f(x)=-4x^2+10 find f(-2)

Answers

Answer:

[tex]f(-2)=-6[/tex]

Step-by-step explanation:

[tex]f(x)=-4x^{2} +10[/tex]

At x=-2

[tex]f(-2)=-4(-2)^{2} +10[/tex]

[tex]f(-2)=-4(4) +10[/tex]

[tex]f(-2)=-16 +10[/tex]

[tex]f(-2)=-6[/tex]

Over the summer Marty reads 4 times as many pages as the number of pages Nelson and Jennifer read combined Marty reads 1,860 pages and Nelson reads 240 pages

Answers

She reads 4 timws as many pages as them together so you add the number of pages they eead them mhltiply it by 4 (1860+240)4=8400

3. Ivan has completed 45% of his walk.
He has already walked 9 km. How much farther does he have left to walk?​

Answers

Answer:

11

Step-by-step explanation:

The required distance left to the walk will be 11 km.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

Let the total distance of the walk would be x km

As per the given information, the required solution would be as:

⇒ 45% of x = 9

45%  is expressed as 45/100 in fractional form

⇒ (45/100)x = 9

45/100  is expressed as 0.45 in decimal form

⇒ 0.45x = 9

⇒ x = 9/0.45

⇒ x = 20

So the total distance of the walk is 20 km

Since he has already walked 9 km.

So, he has left to the distance of the walk = 20 - 9 = 11 km

Therefore, the required distance left to the walk will be 11 km.

Learn more about the percentages here:

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Can someone help me I don't know how to do it?Please and thank u
Expand - 2 (1 - 2x + 2)

Answers

-2 + 4x - 4
= 4x-6
Make sure to distribute everything and then combine like terms.

Answer: 4x-6

Answer:

Step-by-step explanation:

solution -4x+6

Please help, I will be giving brainlist.

Answers

Answer:

b

Step-by-step explanation:

Answer:

o B 6 inches.

Step-by-step explanation:

Proportions:

13 in ⇔  9.75 in

8 in  ⇔   X  in

X = 8*9.75/13

X = 6 in

Is(1, 9)a solution to the inequality y ≤ 6x + 2?

Answers

Answer:

nope

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

It wouldn't be 1,9 it would 1,8 instead also if need help with those an app called desmos helps a lot

Simplify Using the Distributive Property –(3a2 + 5a - 4)​

Answers

Answer:

[tex]-3a^2 - 5a + 4[/tex]

Step-by-step explanation:

N/A

Answer:

-3a2 -5a +4

Step-by-step explanation:

since there us a negative at the front, the sign/ operations change


Identify the constant of
proportionality for the
table below.

Answers

Answer:

7

Step-by-step explanation:

9-4=5
4-2=2
2+9=11
11-5=6



63-28=35
28-14=14
14+63=77
77-28=49

6/49

convert 2 3/4 into a improper faction ​

Answers

Answer:

11/4

Step-by-step explanation:

2 times 4 equals 8 and plus 3 equals 11 and dem is 4 so 11/4

Answer:

[tex]\frac{11}{4}[/tex]

Step-by-step explanation:

[tex]2\frac{3}{4}[/tex]

To get an improper fraction do the multiply and add shortcut.  Do the denominator times the whole number ( 2 x 4).  You will get 8, next add 8 with 3.  You still keep the denominator, so your final result is [tex]\frac{11}{4}[/tex]

Y=x (58 power) /5
solve for y

Answers

Answer:

y = x^58/5

Step-by-step explanation:

Nothing further can be done with this topic. just remove the parentheses and it becomes x^58 and u cannot dive because they’re like terms

ILL GIVE BRAINLIEST AND EVERYTHING ELSEEE HELP

Answers

Answer:

The Second One

Step-by-step explanation:

Commutative Property

A new watch costs $120 at the store. If it goes on sale for 75% off and has a sales tax of 6%, what is the final cost of the watch?

Answers

The final cost is $ 100

Use the description below for Exercises. A rectangle has a length of 12 inches and a perimeter of 42 inches.

The rectangle is dilated using a scale of 4. Find the perimeter and the area of the dilated rectangle.

Answers

Answer:108

Step-by-step explanation:

12+12+42+42

Help me out please and thank you ;)

Answers

Answer : d
Explanation:
Shoe size and letters in your name have nothing to do with each other
Done it before, the answer is D

A box of tissues has a length of 11.2 centimeters,a width of 11.2 centimeters and a height of 13 centimeters.What is the volume of the tissue box?

Answers

Answer:

The volume of the box is 1630.72

Step-by-step explanation:

11.2x11.2x13= 1630.72

✩brainliest appreciated✩

Rewrite in y=mx+b form
- (y + 2) = 2(2x + 1)

Answers

Answer:

y=-4x-4

Step-by-step explanation:

Answer:

y=-4x+4

Step-by-step explanation:

Use order of operations, PEMDAS, to put it in y=mx+b form.

You pay $11.20 to buy drink boxes for the football team. Each drink box cost $0.40. How many drink boxes did
you buy?

Answers

I think it’s uhhhh I think it’s uhhhhh carrot

how much is 21.6 cm put in to inches

Answers

The answer is 8.504 inches

can someone help me out here pls?
how much butter is needed to make a cake for 10 people
ingredients for 4 person cake
'80g plain flour'
'60g almonds'
'90g brown sugar'
'60g butter'

Answers

150g bc 60/4 = 15, 15 x 10 = 150g (PLS MARK AS BRAINLIEST) :))

Classify this triangle by its sides?

Answers

Answer:

Scalene

Step-by-step explanation:

First option, scalene

pls help due asap
thanks

Answers

Answer:

D) CE=10

Step-by-step explanation:

FG=6x-7

CE=18-4x

2FG=CE

2(6x-7)=18-4x

12x-14=18-4x

simplify

16x=32

x=2

substitute

CE=18-4(2)

CE=18-8

CE=10

Answer:

I don't understand what you're trying to ask the picture is blurry

what is 65% of 80 ??????????????

Answers

Answer:

Step-by-step explanation:

65% of 80 is

65*80/100=52

Answer:

52

Step-by-step explanation:

Calculate percentage:

'Percentage' is obtained by multiplying 80 by 65%.

65% × 80 =

(65 ÷ 100) × 80 =

(65 × 80) ÷ 100 =

5,200 ÷ 100 =

52

Checking:

How do we check the result?

If 65% × 80 = 52 =>

Divide 52 by 80...

... And see if we get as a result: 65%.

Calculate the percent value:

52 ÷ 80 =

0.65 =

0.65 × 100/100 =

(0.65 × 100)/100 =

65/100 =

65%

What is m∠DEF?
Enter your answer in the box.

There is a triangle DEF in which side DE is congruent to side EF and G is the midpoint of the side DF. Segment EG intersect the side DF at point G. The measure of angle DEG is (3y+4) degrees and the measure of angle FEG is (5y-10) degrees.

Answers

Answer:

m<DEF = 8y - 6

Step-by-step explanation:

Given that: DEG = [tex](3y +4)^{o}[/tex], and FEG = [tex](5y-10)^{o}[/tex].

The given triangle is an isosceles triangle with sides DE ≅ DF.

But,

m<DEF = DEG + FEG

            =  [tex](3y +4)^{o}[/tex] + [tex](5y-10)^{o}[/tex]

            = 3y + 4 + 5y - 10

            = 8y - 6

m<DEF = 8y - 6

Therefore, the measure of < DEF is 8y - 6.

Here are the ingredients to make 12 cupcakes.
For 12 cupcakes
200 g butter
200 g caster sugar
4 eggs
250 g flour
Mark is making cupcakes to sell at his school play.
Mark wants to make 1 cupcake for each adult and 2 cupcakes for each child.
There will be 152 adults and 80 children at the school play.
Mark can get these ingredients from the school kitchen.
5 kg butter
5 kg caster sugar
90 eggs
5 kg flour
Make a shopping list of any ingredients Mark still needs, showing the amount of each
ingredient.

Answers

Answer:

Mark needs 2 kg butter, 2 kg caster sugar, 14 eggs, and 1.5 kg flour.

Step-by-step explanation:

Alright, first you double the number of kids, as Mark wants each kid to have two cupcakes, not one. (Then add 80+80 to get 160)

Now add the adults to children: 160+152=312

now divide by 12 to see how many batches of cupcakes he needs to make.

312÷12=26 So he needs to make 26 batches

Now here are the ingredients needed to make 12 batches of cupcakes (I multiplied the amount of each ingredient by 26)

5200 g (5.2 kg) butter, 5200 g (5.2 kg) caster sugar, 104 eggs, and 6500 g (6.5 kg) flour.

now make the measurements the same as Mark's ingredients (or the other way around)

(to save time I am not showing each one, just the normal ingredients turned into kg and compared)

5 kg butter < 5.2 kg butter

5 kg caster sugar < 5.2 kg butter

90 eggs < 104 eggs

5 kg flour < 6.5 kg flour

Now do a little subtraction.....

5.2 kg-5 kg = 2 kg butter is needed....

5.2 kg - 5 kg = 2 kg caster sugar is needed....

104 - 90 = 14 eggs needed....

6.5 kg - 5 kg = 1.5 kg flour needed....

And there you go!!! Hope this helped!!! :D

The amount of ingredients that Mark still requires after getting it from the kitchen is needed.

The amount of ingredients Mark still needs is

200 g of butter

200 g of caster sugar

14 eggs

1500 g of flour

The number of cupcakes that are needed for 152 adults and 80 children is

[tex]152+2\times 80=312[/tex]

For the 12 cupcakes the ingredients are

200 g butter

200 g caster sugar

4 eggs

250 g flour

For 1 cupcake the ingredients are

[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of butter

[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of caster sugar

[tex]\dfrac{4}{12}=\dfrac{1}{3}[/tex] eggs

[tex]\dfrac{250}{12}=\dfrac{125}{6}\ \text{g}[/tex] of flour

For 312 cupcakes

[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of butter

[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of caster sugar

[tex]312\times \dfrac{1}{3}=104[/tex] eggs

[tex]312\times \dfrac{125}{6}=6500\ \text{g}[/tex] of flour

The required ingredients are

[tex]5200-5000=200\ \text{g}[/tex] of butter

[tex]5200-5000=200\ \text{g}[/tex] of caster sugar

[tex]104-90=14[/tex] eggs

[tex]6500-5000=1500\ \text{g}[/tex] of flour

Learn more:

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1 and 2 is all I need and you guys would help me from not getting beat

Answers

Answer:

1. -10

2. -11

Step-by-step explanation:

Solve 6 - 5x = 7 + 3x

Answers

Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation:

Simplify: (3x-4)+(-2x+8).

Answers

Answer:

Step-by-step explanation:

x+4

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