Mathematics High School

Suppose that y varies directly with x and y=20 , when x =8

a : write a direct variation equation that relates x and y ??

b : find y when x =3 ??

Answers

Answer 1

Answer:

y = 7.5

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 y = 20 when x = 8

20 = 8k ( divide both sides by 8 )

2.5 = k

(a)

y = 2.5x ← equation of variation

(b)

When x = 3 , then

y = 2.5 × 3 = 7.5

Related Questions

Dada la función d(x) = 3x - 4, ¿Qué sucede con su representación gráfica si m disminuye 3 unidades?

Answers

Answer:

Si la pendiente ([tex]m[/tex]) disminuye 3 unidades, entonces tenemos que [tex]y = -4[/tex].

Step-by-step explanation:

Sea la función lineal [tex]d(x) = 3\cdot x - 4[/tex], una función está definida por la siguiente expresión matemática:

[tex]y = m\cdot x + b[/tex] (1)

Donde:

[tex]x[/tex] - Variable independiente.

[tex]y[/tex] - Variable dependiente.

[tex]m[/tex] - Pendiente.

[tex]b[/tex] - Intercepto.

Por comparación directa, tenemos que [tex]y = d(x)[/tex], [tex]m = 3[/tex] y [tex]b = -4[/tex]. Si [tex]m[/tex] disminuye en 3 unidades, entonces tenemos la siguiente ecuación lineal:

[tex]y = -4[/tex]

what is the slope of [-4, -2, ] [ -3, -4 ]

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Find the term a8 for the sequence 6, 24, 96, ....

Answers

The answer is 384 then 1536 so u see it’s multiple by 4 keep it on

Help what is the answer ?? What is the is the translation coordinate

Answers

Answer: (x - 3, y - 6) or S(-5 -3, 6 -6)

First we have to figure out how many spaces left to right (x-axis) and how many spaces up and down (y-axis) will get us to S'

x-axis: -5 - 3 = -8

y-axis: 6 - 6 = 0

Now we just add this to the original coordinate to give us the translation coordinate:

S(-5, 6) → S(-5 -3, 6 -6)

Tabitha's truck gets between 21 and 24 miles
Per gallon. The truck's fuel tank holds 20 gallons
of
gas.
What farthest reasonable distance that
Tabitha can expect to drive on a full tank of gas?
A) 350 miles
B) 400 miles
C) 450 miles
D) 500 miles

Answers

Start by finding the mean of the gas range:
21+24/2= 22.5
Multiply 22.5 by 20
22.5 x 20= 450

Your answer is 450 miles

What is the cube root of -729a^9 b^6?

Answers

Answer:

[tex]-9a^3b^2[/tex]

Step-by-step explanation:

Your Welcome!

Bonnie and 3 of her friends want to buy a TV for their new apartment that costs $349.99.

Answers

I don’t know exactly what you’re asking, but if they are splitting the cost it would be 349.99 divided by 4, which is 87.49 (87.50)

y = x+1
3x + y = -7
Plot two lines by clicking the graph.
Click a line to delete it.
10
Solution:
Submit Answer

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
−
2
,
−
1
)
(
-
2
,
-
1
)
Equation Form:
x
=
−
2
,
y
=
−
1

please help out it for my math homework and I sure do have more questions

Answers

Answer:

30°

Step-by-step explanation:

Remember, all the interior angles of a triangle add up to 180 degrees. Therefore, we can find the value of x by subtracting the values of the other angles from 180:

[tex]x = 180-97-53[/tex]

[tex]x=30[/tex]

Answer:

Soln:

x+53+97=180(sum of interior angle of a triangle is 180)

or,x+150=180

or,x=180-150

or,x=30

Hence, the value of x is 30.

Please Answer the question i dont understand

Answers

Answer:

C. -2 degrees

Step-by-step explanation:

Answer:

the answer would be c. -2 degrees

Step-by-step explanation:

3 - 5 = -2

have a great day

Complete the table to describe the model.

The model will have a verbal description, a division expression, and a fraction.

Answers

is there supposed to be a picture??!

What’s the answer to this?!!!

Answers

Answer:

x = 10

Step-by-step explanation:

The figure is symmetrical, so 7x+5 = 9x - 15

7x + 5 = 9x - 15

5 = 2x - 15

20 = 2x

x = 10

Note that the figure is not drawn to scale, but computations don't lie :)

What is the solution to the equation x + 8 = 12? *

X=4
X=16
X= 20
X= -4

Answers

Answer: x=4

Step-by-step explanation:

x+8=12

x+8-8=12-8=4

x=4

x+8=12
x=12-8
12-8=4 which mean x=4

An isosceles triangle has base angles that each measure 39 °. Which equation can be used to fi nd t, the measure of the third angle of this isosceles triangle in degrees?

Answers

Answer: 102°

Step-by-step explanation:

First and foremost, we should note that an isosceles triangle has two sides that are equal and that the sum of angles in a triangle equals to 180°.

Since we are told that the isosceles triangle has base angles that each measure 39°, the third angle will be:

t + 39° + 39° = 180°

t + 78° = 180°

t = 180° - 78°

t = 102°

The third angle is 102°.


Danielle's pool table is 5 feet wide and 8 feet long. Danielle wants to replace the felt on
the pool table. The felt costs $2.20 per square foot. How much would it cost in total to
replace the felt on the pool table?

Answers

Answer:

$88

Step-by-step explanation:

cost to replace the felt = Area of a rectangle x felt cost per square foot

Area = length x width

5 x 8 = 40

cost of replacement = 40 x 2.2 = 88

Whats the common ratio of the geometric sequence 6, 36, 216,

Answers

Answer:

Common ratio is 6.

Step-by-step explanation:

The geometric sequence is being multiplied by 6 each time because 6x6=36, and 36x6=216.

Answer: Find the common ratio of the geometric sequence 6, 36, 216,...6,36,216,...

a_1=6                                       a_2=36                               a_3=216

a

1

​

=6a

2

​

=36a

3

​

=216

\text{Common Ratio:}

Common Ratio:

r=\frac{a_2}{a_1}

r=

a

1

​

a

2

​

​

r=\frac{36}{6}

r=

6

36

​

r=6

r=6

3/10 divied by 2/7 pls help

Answers

Answer:

21/20

Step-by-step explanation:

Answer:

1.05 or  21/20 or 105% or

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints.
(8,1) and (5,7)

Answers

The midpoint would be (13/2 , 4)

Answer:

(6.5,4) is your mid point

Step-by-step explanation:

PLEASE HELP PLEASE ILL GIVE BRAINLIEST
YOULL BE MY SAVIOR PLEASE SOMEONE HELP AND SHOW WORK CAUSE I DONT UNDERSTAND

Answers

3.30(15%)-$22= $18.70
8% tax added to $55= $4.40

PLEASE HELP

Answers

Answer:

(a+b)^2+(a-b)^2=2(a^2+b^2)

expanding:

a² + 2ab + b² + a² -2ab + b² = 2a² + 2b²

2a² + 2b² = 2a² + 2b²

Answer:

with what?

Step-by-step explanation:

Two dice are rolled one after another. Construct a sample space and determine the probability that the sum of the dots on the dice total a number greater than 9 if the second die is a 5. The probability that the sum of the dots on the dice is a number greater than 9 if the second die is a 5 is nothing.
​(Type an integer or a simplified​ fraction.)

Answers

this answer will be 55% ok

find the value of given expression !!

[tex] \sqrt{45 \times 2 - {3}^{2} } [/tex]
​

Answers

Answer:

the answer is 9

I hope it helps

have a great day

#Captainpower

need by midnight pretty simple i just don't know how to explain it.​

Answers

Answer:

Side x is adjacent to 30° angle.

Correct method is:

cos 30° = x/15 ⇒ x = 15*cos 30° ⇒ x = 12.99

Diego is correct and Steven is wrong.

when finding sine consider the opposite side to the angle, not hypotenusewhen finding cosine consider adjacent side to the angle, not hypotenuse

8
What number should go in the box? 22572=20000+2000+500+0+2

Answers

Answer:

Step-by-step explanation:

70 is missing , but so is a box   ????

find the area of the circle. radius of the circles is 8 cm

Answers

Answer:

Step-by-step explanation:

r = 8 cm

Area of circle = πr²

                        = 3.14 * 8 * 8

                       = 200.96 cm²

Answer:

201.06

Step-by-step explanation:

π•8²

Can someone please help me with this math problem:):)

Answers

Answer:

8.5 or 8  1/2

Step-by-step explanation:

8.5 I think I’m not very sure

If the original price of an item is $70 and it is marked down 20%, what is the NEW PRICE?

Answers

The new price will be 56

Answer:

$56

Step-by-step explanation:

1.) Find the value of 20% of $70 (which is $14.).

2.)  subtract $14 from $70.

PLZ HELP ME QUESTIONS 2 AND 3 DUE BY 10 AM I WILL GIVE BRAINLIEST

Answers

M(-1,5) to (-1,-5)
D(1,5) to (-1,5)
A(4,3) to (4,-3)
W(-1,4) to (-1,-4)

B(-4,1) to (-1,-4)
X(-3,-2) to (2,-3)
N (-5,-4) to (4,-5)

Which of the following is rewriting 272/3

Answers

Answer:

how to reduce (simplify) fraction 272/3 to lowest terms? Write it as an improper fraction, a mixed number, a decimal number, a percentage

Step-by-step explanation:

HELPPPPP pleaseeeeeee due in 20 minutes please hurryyy​

Answers

Answer:

The answer is 70

Step-by-step explanation:

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