Suppose that y varies directly with x , y= 15 and when x=6. write a direct variation equation

Answers

Answer 1

Answer:

[tex]y = \frac{5}{2}x[/tex]

Step-by-step explanation:

Given

Variation: Direct from y to x:

[tex]y\ \alpha\ x[/tex]

[tex]y =15; x = 6[/tex]

Required

Write the equation

[tex]y\ \alpha\ x[/tex]

Express as an equation

[tex]y = kx[/tex]

Where k is the constant of variation

Substitute [tex]y =15; x = 6[/tex]

[tex]15 = 6k[/tex]

Solve for k

[tex]k = \frac{15}{6}[/tex]

[tex]k = \frac{5}{2}[/tex]

Substitute [tex]k = \frac{5}{2}[/tex] in [tex]y = kx[/tex]

[tex]y = \frac{5}{2}x[/tex]


Related Questions

Which expression simplifies to:

12x−9

(10x−2)−(−2x+7)

(10x+2)−(2x−7)

(7x−5)−(5x−4)






10x−2−2x+7

Answers

Answer:

(10x+2)−(2x−7)

Step-by-step explanation:

(10x−2)−(−2x+7) = 10x−2+2x-7

(10x+2)−(2x−7) = 10x−2−2x+7

(7x−5)−(5x−4) = 7x−5− 5x+4

Find the measure. m∠GDF

Answers

Answer:

∠GDF = 26°

Step-by-step explanation:

6y + 2 = 7y - 2

subtract 6y from each side of the equation:

2 = y - 2

add 2 to each side:

y = 4

6(4) + 2 = 26°

Help me with my math homework

Answers

If u look up the answers to those questions they will be on a different site not this one tho if u need help lmk

Can someone please help me with this!

Answers

Answer:

It's Positive

Step-by-step explanation:

The table shows the values (in thousands) of the average salary of NBA players x years after 1990. Write and use an exponential model to find the year
when the average NBA player's salary will be more than $3 million
1
2
Years, X
3
4
5
0
15
30
Salary, y
60
240
480
120
Write an exponential model for this situation
(put parentheses around the "b" value)
What is the projected salary in 9 years?
In what year would the salary be more than $3 million? (round to two decimal places)

Answers

Answer:

Step-by-step explanation:

From the given table,

Ratio of each successive term in the row showing salary (y) is,

Ratio = [tex]\frac{30}{15}[/tex] = 2

Therefore, function representing the relation between average salary (y) and years (x) will be the exponential function.

y = a(b)ˣ

For x = 0, y = 15,

15 = a(b)⁰

a = 15

For x = 1, y = 30,

30 = 15(b)¹

b = 2

Therefore, exponential function Or exponential model will be,

y = 15(2)ˣ

Projected salary in 9 years [For x = 9],

y = 15(2)⁹

y = 15 × 512

y = $7680

For the salary more than $3 million [For y = $3000000],

3000000 = 15(2)ˣ

2ˣ = 200000

log(2)ˣ = log(200000)

xlog2 = log(2×10⁵)

xlog2 = log2 + log(10)⁵

(x - 1)log2 = 5

x - 1 = [tex]\frac{5}{\text{log2}}[/tex]

x = 16.609 + 1

x = 17.609

x ≈ 17.61 years

please help me find the answer

Answers

Step-by-step explanation:

put 8 in both boxes

then it's

40-2(7)

40-14 = 26

Helppppppppppp!!!!!!!!!!!!!?????

Answers

Answer:

ANSWER IS = 65536 I THINK forgive me if I'm wrong

Step-by-step explanation:

the picture explaining how so how you do this dont Multiple 4x2 as in regular its wrong it isn't like regular math you need to multiple whatever number is on top like 4^2 so we do 4x4 shown on top cause thats how many you need to multiple with and another 4^6 so this is 4x4x4x4x4x4 6 times

DONT DO's:

Don't regularly multiply 4x2 or 4x6 this is EXPONENT :)

I even added a example below

{i'm sorry if its wrong again}


Distributive Property step by step 3x(x-1) tHxs

Answers

Answer:

3x² - 3x

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3x(x - 1)

Step 2: Expand

Distributive Property:                                                                                           3x(x) + 3x(-1)Multiply:                                                                                                                3x² - 3x

Find the common ratio of the geometric sequence. You must write r=

0.1, 0.9, 8.1, 72.9, ...

Answers

Answer:

common ratio is 9

mark me brainilest:)

Step-by-step explanation:

Statistic questions

Answers

Answer:

a. 1.91

Step-by-step explanation:

because I think I'm lucky today

Find the surface area of a cylinder
whose radius is 5 cm and whose
height is 10 cm.
Round to the nearest whole number.
[?] cm2

Answers

Question:-

Find the surface area of a cylinder

whose radius is 5 cm and whose

height is 10 cm.

Answer:-

Given:-

[tex] \bullet [/tex] Radius of a cylinder (r) is 5 cm

[tex] \bullet [/tex] Height of a cylinder (h) is 10 cm

To Find:-

The surface area of a cylinder

Solution:-

We know the formula of surface area of a cylinder is –

[tex] { \boxed{\rm \red {2πr² \: + \: 2πrh}}} [/tex]

So, putting the value of r = 5 cm and h = 10 cm we get,

2πr(r + h) = 2 × [tex] \frac{22}{7} [/tex] × 5(5 + 10)

= [tex] \frac{220}{7} [/tex](5 + 10)

= [tex] \frac{220}{7} [/tex] × 15

= [tex] \frac{220 \: × \: 15}{7} [/tex]

= [tex] \frac{3300}{7} [/tex]

= 471.43 cm²

The surface area of a cylinder is 471.43 cm². [Answer]

8 16 20 0 32 24 32 8 16 16 56 48
0 24 32 28 16 36 72 40 48 24 40 32
Least to greatest

Answers

0 0 8 8 16 16 16 16 20 24 24 24 28 32 32 32 40 40 48 48 56 72

Robert and his friends went to have lunch at a restaurant. The service was great, so they decided to leave a 20% tip. Is the final amount cheaper or more expensive?

Whoever answers correctly will get Brainliest!

Have an amazing day!! :))))

Answers

Answer:

More Expensive

Step-by-step explanation:

If they left a tip, that means they would have to pay the full amount of the meal plus 20% fo whatever the full amount was, so they'd pay more.

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

B

Step-by-step explanation:

None of the alternates considering they are on the same line. Corresponding angles add up to 180° and cut by a transversal. It listed this as college but this is more of a Geometry 7th-9th grade thing.

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
0
10
X
15

Answers

Answer:

x ≈ 11.180

Steps:

x = √(15²-10²)

x = √(225-100)

x = √125

x ≈ 11.180

The graph shows the number of y gallons of gasoline remaining in a car x hours after filling the tank.

Answers

Answer:

edfghjnsdfghjkm

Step-by-step explanation:

If log 5 = 0.699 and log 3 = 0.477, find log 45 without using
the log key.

Answers

Answer:

1.653

Step-by-step explanation:

Write log45 as a product of its prime factors

log45= log3^2 * log5

Substitute the given logarithms to the respective numbers.

Remember the laws of logaarithms that * changes to +

log 45 = 0.477*2 + 0.699

You will find that log 45 = 1.653

From the given logarithmic values the value of log45 derived as 0.1590.

What are logarithms?

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.

Given that, log5=0.699 and log3=0.477.

Here, log45 can be written as log9×log5=log3²×log5

= 0.477²×0.699

= 0.1590

Therefore, the value of log45 is 0.1590.

To learn more about the logarithmic equation visit:

https://brainly.com/question/14406101.

#SPJ2

solve the rational equation
X+3/ 3x -2 - x-3/3x+2=176/9x^2-4

Answers

Answer:

8

i hope this will help you

3.14*3.14*3.14*x*x*x*x

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

( 3.14 ) ( 3.14 ) ( 3.14 ) * x * x * x * x

=3.14 * 3.14 * 3.14 * x * x * x * x

=30.959144 * x^4

=30.959144x^4

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

30.959144(x^4)

Directions: Tables, graphs (use grid points!), and stories are provided. For each case:
1. Find the slope
2. Find the y-intercept
3. Write an equation
4. Explain how you know the slope and y-intercept are correct. Check 2 points in your equation to show it is correct.
Linear Function Representation- Equation - Slope - Intercept

x y
0 4
2 9
4 14
6 19
8 24

Answers

Answer:

See explanations below

Step-by-step explanation:

Using the coordinate points in the table (0, 4) and (2, 9)

Slope m = y2-y1/x2-x1

m = 9-4/2-0

m = 5/2

slope = 5/2

Get the y-intercept

Substitute m = 5/2 and (0,4) into y = mx+c

4 = 5/2(0) + c

4 = 0+c

c = 4

y-intercept is 4

Get the equation

Recall that y = mx+c

y = 5/2x + 4

Using another 2 points (2,9) and (4, 14)

Slope = 14-9/4-2

Slope = 5/2

Since the slope is the same for the coordinates, hence the the equation is correct

HELP ON THIS QUESTION !!!!!!!!

Answers

Answer:

b

Step-by-step explanation:

i took the test

10. Find the surface area of the triangular prism. The
base of the prism is an isosceles triangle.
48 cm
25 cm
24 cm
14 cm

Answers

Answer:

C

Step-by-step explanation:

The surface area can be found through the formula

SA=2A+(a+b+c)h

in this case, A is the area of the base, a and b are the legs, c is the base of the triangle, and h is the height. By substituting the values 25 and 25 for the legs and 14 for the base and 48 for the height, you will get 3408 sq cm.

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

1/5

Step-by-step explanation:

there are 10 in total which means for every toy there is a 10 percent chance. Because he has 2 taxis, there would be a 20 percent chance which equals 1/5

6x8 = nx 16
What is the value of the unknown number?

Answers

Um I think the answer is 3

What kind of sequence is this equation y=400*2^x (arithmetic,geometric,nethier)

Answers

Answer:

Geometric

Step-by-step explanation:

starting point : 800

800 , 1600 , 3200

Good luck .

Which of the following describes an acute isosceles triangle?

A. At least one angle is 90° and two sides are equal in length.

B. All angles are less than 90° and two sides are congruent.

C. No two sides are equal in length and all angles are greater than 90°.
D All three sides are different lengths and all angles are less than 90°.

Please answer fast it’s for a test

Answers

The answer is d btw post a picture too

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

B) Angle 2 and Angle 3

Step-by-step explanation:

Angle 2 and Angle 3 are equal since they're vertical angles and aren't supplementary

Angle 7 and 8 are supplementary

Angle 1 and 7 are supplementary

Honestly, i have no clue with angle 4 and angle 4. I just know that vertical angles aren't supplementary because they're equal to each other so I'll assume this is the case as well.

What is the slope of y = -x + 7?

Answers

Answer:

-1

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -x + 7

    m = -1

I need some help with this! I will try to give brainliest!!

Answers

Answer:

Left yes

right no

Step-by-step explanation:

that goes for top and bottom

Help me ASAP please!!!

Answers

Answer:

7

Step-by-step explanation:

The two angles + 90 degrees equals 180 degrees

So it is sufficient to say that the two angles equals 90 degrees

6r - 7 + 55 = 90

6r + 48 = 90

6r = 42

r = 7

7.

Hope this helps :)!
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