The value of y varies directly with x. If x = 5 when y = 12, what is the value of x when y = 30?

Answers

Answer 1

Answer:

12.5

Step-by-step explanation:

y= kx

k= y/x

x= 5, y= 12

k = 12/5

Therefore the value of x when y is 30 can be calculated as follows

y = kx

30= 12/5x

x= 30÷12/5

x= 30× 5/12

x= 150/12

x= 12.5


Related Questions

If you apply the changes below to the absolute value parent function, f(x) = |x|
what is the equation of the new function?
• Shift 8 units left,
• Shift 3 units down,
O A. g(x) =|x- 8|- 3
B. g(x) = |x - 3|- 8
OC. gx) =|x-3|+ 8
D. g(x) = |x+ 8|-3

Answers

Answer:

its d because inside the abs value thing ur gonn take that +8 and do the opposite of what it says so negative 8 to the left then ur just gonna go down negative 3

whats the answer for (x) 1/2 (8x-6)=-1/3(9x-12)

Answers

Answer:

1/2(8x-6)=-1/3(9x-12)

We move all terms to the left:

1/2(8x-6)-(-1/3(9x-12))=0

Domain of the equation: 2(8x-6)!=0

x∈R

Domain of the equation: 3(9x-12))!=0

x∈R

We calculate fractions

(3x9/(2(8x-6)*3(9x-12)))+(-(-2x8)/(2(8x-6)*3(9x-12)))=0

We calculate terms in parentheses: +(3x9/(2(8x-6)*3(9x-12))), so:

3x9/(2(8x-6)*3(9x-12))

We multiply all the terms by the denominator

3x9

We add all the numbers together, and all the variables

3x^9

We do not support expression: x^9    

I would appreaciate   if i got brainliest  

HELP PLEASE LOTS OF POINTS!!

Answers

Answer:

Thus, f and g are inverse functions

Step-by-step explanation:

Inverse Functions

If two functions f(x) and g(x) are inverses, then it follows that:

[tex]f\circ g(x)=x[/tex]

Or:

[tex]g\circ f(x)=x[/tex]

We are given

[tex]\displaystyle f(x)=\frac{1}{4}x-6[/tex]

[tex]g(x)=4x+24[/tex]

Let's test if they are inverse functions:

[tex]f\circ g(x)=\frac{1}{4}(4x+24)-6[/tex]

Simplifying:

[tex]f\circ g(x)=x+6-6=x[/tex]

Now find:

[tex]\displaystyle g\circ f(x)=4\left(\frac{1}{4}x-6\right)+24[/tex]

Operating:

[tex]\displaystyle g\circ f(x)=x-24+24=x[/tex]

Thus, f and g are inverse functions


Find the midpoint between points F(-5, -18) and K(15,8).

Answers

Answer:

(5,-5)

Step-by-step explanation:

to find this out you would add them together and then divide by two:

(-5)+15= 10
10/2=5

(-18)+8=(-10)
-10/2=5

so your points would be 5,-5. you would add your x values and divide it by two and then your y values and divide them by two

Given that one of the angles in a triangle is 60°,
select the correct option for each statement.
Cannot be true Might be true
Must be true
(i)
The triangle
is scalene
A
B
С
(ii)
The other two angles
add up to 120°
А
B
С
A
B
The other two angles
of the triangle
are obtuse
The triangle is
right-angled
С
(iv)
A
B
С

Answers

Answer:

B, C, A, B

Step-by-step explanation:

i. 60+ 10 +110 = 180 ( so it can be scalene)

ii. 60 +120 =180 ( they have to, to make a triangle)

iii. Obtuse is 90 degrees or more

iv. 90 +60+30=180 (so it can be)

Please help ASAP. this isn't a quiz​

Answers

Answer:

people fall in love in a serois way.

Step-by-step explanation:

slope= -1 y- intercept= (0, -1/2). the points are (-1/2,0) and 0, -1/2)

2512=3.14(r2)(8)
What is the diameter???
Help please!!!!!!

Answers

Answer:

r = 10 or -10

Step-by-step explanation:

Write the first five terms of the arithmetic sequence. First term: -10 and common difference: 2

Answers

Answer:

The first five terms of the arithmetic sequence.

-10 , -8 , -6 , -4 ,-2 ..........

Step-by-step explanation:

Explanation

Given that the first term is -10 and common difference d = 2

we know that the sequence in A.P

a ,a+d ,a+2d,a+3d ,a+4d...........  are in AP

-10, -10+2,  -10+2(2),  -10+3(2) , -10+4(2)..................

-10 , -8 , -6 , -4 ,-2 ..........

Final answer:-

The first five terms of the arithmetic sequence.

-10 , -8 , -6 , -4 ,-2 ..........

On a snow day, Hunter created two snowmen in his backyard. Snowman A
was built to a height of 35 inches and Snowman B was built to a height of 50
inches. The next day, the temperature increased and both snowmen began to
melt. At sunrise, Snowman A's height decrease by 4 inches per hour and
Snowman B's height decreased by 7 inches per hour. Let A represent the
height of Snowman At hours after sunrise and let B represent the height of
Snowman B t hours after sunrise. Write an equation for each situation, in
terms of t, and determine how tall each snowman is when they are the same
height.

Answers

Answer:

A = 35 - 4t

B = 50 - 7t

Height = 15 inches

Step-by-step explanation:

Given that:

Height of snowman A = 35 inches

Height of snowman B = 50 inches

Height decrease of snowman A = 4 inches per hour

Height decrease of snowman B = 7 inches per hour

t = number of hours

A = 35 - 4t       Eqn 1

B = 50 - 7t       Eqn 2

At same height,

Eqn 1 = Eqn 2

35 - 4t = 50 - 7t

-4t + 7t = 50 - 35

3t = 15

Dividing both sides by 3

[tex]\frac{3t}{3}=\frac{15}{3}\\t=5[/tex]

Putting t=5 in both equations

A = 35 - 4(5) = 35 - 20 = 15 inches

B = 50 - 7(5) = 50 - 35 = 15 inches

Hence,

A = 35 - 4t

B = 50 - 7t

Height = 15 inches

The equation should be

A = 35 - 4t

B = 50 - 7t

And, the Height = 15 inches

Calculation of the equation and height;

Since

Height of snowman A = 35 inches

Height of snowman B = 50 inches

Height decrease of snowman A = 4 inches per hour

Height decrease of snowman B = 7 inches per hour

Here, t = number of hours

So, the equation should be

A = 35 - 4t      

B = 50 - 7t      

Now for the same height

35 - 4t = 50 - 7t

-4t + 7t = 50 - 35

3t = 15

t = 15

So,

A = 35 - 4(5) = 35 - 20 = 15 inches

B = 50 - 7(5) = 50 - 35 = 15 inches

learn more about height here: https://brainly.com/question/17231109

On the grid draw the graph of x+y=6 for values of X between -2 and 3.

Please help me.

No picture included

Answers

nice pic dear :)Step-by-step explanation:

Divide 7.65 / 0.35 please help

Answers

Ok the answer is 21.9
21.8571429 :) you’re welcome!

Which of the following is not an expression? A. 5x + 6, B. 2b = 0, C. -10.6, D. 2/3t - 1/8

Answers

Answer:

C is the answer

Students at Mr. Mackie’s art class went outside to draw a rainbow, which follows a parabolic path and has the equation of = −0.1( − 1) + 6, where and are measured in centimeters. Graph the function.

If the height of the rainbow is 6 cm, how far away are the end points of the rainbow from one another?

HELP!!

Answers

Answer:

We were given the equation of a rainbow, which follows a parabolic path, which is

By comparing to the vertex form,

We have the vertex at (h,k)=(1,6)

Since a=-0.1<0, the parabola opens down.

At y-intercept, x=0.

Step-by-step explanation:

find the slope of line that passes through the following points: (-3,5) (-3,8)​

Answers

Answer:

the slope is infinite or undefined

Step-by-step explanation:

y2-y1/x2-x1=3/0

find the x- and y- intercepts of the following polynomial functions:

2. P(x) = x⁴ - 2x² + 1

3. P(x) = x (x- 1/2) (x + 4) (x - 1)

4. P(x) = x3 - 2x² - 4x + 8

5. P(x) = (x + 2) (x + 5) (x - 3) (x - 4)​

Answers

Answer:

2. x-intercepts:(1,0),(-1,0) y-intercept:(0,1)

3.x-intercepts:(0,0),(1/2,0),(-4,0),(1,0) y-intercept:(0,0)

4.x-intercepts:(2,0),(-2,0) y-intercept:(0,8)

5.x-intercepts:(-2,0),(-5,0),(3,0),(4,0) y-intercept:(0,120)


Solve for r.
7(r + 1) = 20.3

Answers

Answer:

r = 1.9

Step-by-step explanation:

7r + 7 = 20.3

    - 7      - 7  

7r = 13.3

divide by 7

r = 1.9

Answer:

r = 1.9

Step-by-step explanation:

7(r + 1) = 20.3

Multiply the parenthesis by 7:

7r + 7 = 20.3

Subtract 7 from each side:

7r = 13.3

Divide 13.3 by 7 to find r:

r = 1.9

HELP PLEASE ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!11111

Answers

Answer:

16(0.5x - 0.75y + 2)

Step-by-step explanation:

16 x 0.5 = 8

16 x -0.75 = -12

16 x 2 = 32

Answer:

16(0.5x - 0.75y + 2)

Step-by-step explanation:-

1. 16 x 0.5 = 8

2. 16 x -0.75 = -12

3. 16 x 2 = 32

❤Please help sweeties!❤
The ordered pair (2,5) must satisfy which criteria in order to be a solution to the system?
satisfy the first equation

satisfy the second equation

satisfy both equations

can work in any equation

Answers

Answer:

satisfy both equations

Step-by-step explanation:

Suppose your​ friend's parents invest $ 10,000 in an account paying 7% compounded annually. What will the balance be after 8 ​years?

Answers

- this is a simple interest question, so you should know the formula for this.

simple interest: i = prt

i - interest

p - principle amount (deposit)

r - rate

t - time in years

the problem: -- this is a two step question, since its asking for the balance.

i = prt

i = 10,000(0.07)(8)

i = 5600

- remember this is just the interest, NOT the balance.

to find the balance:

5600 + 10000 = 15600

FINAL ANSWER:

$15,600

-- let me know if you have any questions regarding this.

I need help remember taking the square root of a number is the inverse/opposite of squaring number

Answers

X will equal 4 because 4^2=4*4 which equals 16

Round 503.782 to the nearest tenth.

Answers

Answer:

503.8

Step-by-step explanation:

Since in the hundredth place you have a number higher than 5, we want to round the tenth digit up by one to get 503.8.

Answer:

503.8

Step-by-step explanation:

Carol is mixing pink paint. The ratio of red to white paint is 2:1. If carol uses 6 part red paint. How much white paint does she need?

Answers

Answer:

3

Step-by-step explanation:

Because the ratio is 2:1, you would divide the number of red parts by 2.

Answer:

She will need 3 parts white paint

Step-by-step explanation:

Lets make a proportion:

2 : 1

6 : x

We know that 2 = 6 in this problem are the same values, red paint

6/2 = 3 3 IS THE CONSTANT OF PROPORITIONALITY

Now, 1 x 3 = 3

1 = 3 in this problem are the same values, white paint

SHE NEEDS 3 PARTS WHITE PAINT

PLSSSSS PLS HELPP ITS DUE SOON

Answers

Answer:

C

Step-by-step explanation:

[tex]let\\T = ax+b\\(x, T) = (6, 76) => 6a+b = 76\\(x, T) = (12, 49) => 12a+b = 49\\Subtract\\6a = -27 => a = -4.5\\Substitute\\b = 76+27=103\\\\T = -4.5x + 103[/tex]

Answer:

c) -4.5 x +103

Step-by-step explanation:

Need help with this please answer :( I’m not good at math at all
5x + 4y = -7
-5x - 2y = 1

Answers

Answer:

y=-3

x=1

(1,-3)

Step-by-step explanation:

5x+4y=-7

-5x-2y=1

Cancel +5x - 5

     2y=-6

      y=-3

5x-12=-7   or    -5x+6=1

5x=5                -5x=-5

x=1                     x=1

Answer:

y = -3, x = 1

or

(1, -3)

Step-by-step explanation:

5x + 4y = -7

-5x - 2y = 1

add the two equations together

0x + 2y = -6

2y = -6

2y/2 = -6/2

y = -6/2

y = -3

now substitute y = -3 into either of the equations

5x + 4y = -7

5x + 4(-3) = -7

5x - 12 = -7

5x = -7 + 12

5x = 5

x = 1

Four fifths of the children in a school are boys. Five eighths of the girls in the school are right-handed. What fraction of the children in the school are left-handed girls?

Answers

Answer:

See below

Step-by-step explanation:

Let x rep right handed

Then,

5/8× x

= 5x/8

Since 4/5 are boys

1 - 4/5

1/4

Then,

5x/8 = 1/4

20x = 8

x = 8/20

x = 2/5

Therefore, the fraction of the girls in the school that are left handed is 2/5

Help plssssssssssssss

Answers

I think it may be B.


Name a point Coplanar with points A, B, and E.

Answers

Answer:

1. A,B,C

2. F,E,D,W

Step-by-step explanation:

4 5/2 - 4 3/2

ANSWER WITH EXPLANATION. BRAINLIST!!!!!

Answers

Answer:

1

Step-by-step explanation:

First, we have to make the fractions improper.

To this we would need to multiply the denominator by the whole number and add it to the numerator. 2*4 is 8.  8 + 5 is 13. So for the first fraction, it will be 13/5. Let’s do the second fraction. 2*4 is 8. 8 + 3 is 11. So for the second fraction, it will be 11/2. Since the fractions have the same denominator, we will not have to do anything to them. Now, all you have to do is simple subtraction. 13 - 11 is 2. Since the denominators are the same, it will equal to 2. So the final answer is 2/2 or 1.

express each x in terms of y:
1. 2x - 3 = y

2. 2 + 2x -1 = 4y

3. 2A + 4x + 3B = 10​

Answers

Answer:

1/2y+3/2

2y+-1/2

-3/2b-2x+5

Step-by-step explanation:

A jar contains 15 red marbles, 10 green marbles, and 11 blue marbles. What is the probability that a marble chosen at random from the jar will NOT be green?

Answers

Answer:

Quantity A is greater.

Step-by-step explanation:

Note that there are 16 total marbles. A is simply a set of sequential events. On the first, you have 10/16 chances to draw a red. Supposing this red is not replaced, the chance of drawing a second red will be 9/15; therefore, the probability of A is (10/16) * (9/15) = 0.375. Event B is translated into 2 events: Blue + (White or Red) or (White or Red) + Blue. The probabilities of each of these events, added together would be (2/16) * (14/15) + (14/16) * (2/15) = 0.2333333333; therefore, A is more probable.

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