If y varies directly as x and x=6 when y=0.5, find y when x=10

Answers

Answer 1

Answer:

y = [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Given y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 6 when y = 0.5 , then

0.5 = 6k ( divide both sides by 6 )

[tex]\frac{0.5}{6}[/tex] = k , that is k = [tex]\frac{1}{12}[/tex]

y = [tex]\frac{1}{12}[/tex] x ← equation of variation

When x = 10, then

y = [tex]\frac{1}{12}[/tex] × 10 = [tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex]


Related Questions

PLS HELP!! GIVING BRAINLIST!!

Answers

C) Infinitely many solutions.

When you graph these, they are both the exact same line.

what is the "input" of a function ​

Answers

the input values that would produce that output value, we set the output equal to the function's formula and solve for the input.

indicate which property is illustrated in step 3.
A commutative
B. distributive
C associative
D. arthumetuc fact

Answers

Answer:

17x+15 is your answer, I think it is A communative

Step-by-step explanation:

The property is illustrated in step 3 would be A commutative properties of addition

What is commutative property?

The commutative property states that an expression of the form (A + B) can be solved as (B + A) by an addition operation that does not change the end result.

This property applies to multiplication also.

We are given the equation as;

5x + 1 + 12x + 4

= (5x + 1) + (12x + 4)

(5x + 12x) + (1 + 4)

Therefore, we can see that this shows the step of commutative properties of addition

Learn more about properties of addition here:

https://brainly.com/question/1709448

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3. Write each number as a product of its prime factors:
a) 48
b) 441
c) 420
d) 1617
de 10​

Answers

Answer:

Step-by-step explanation:

Describe the graph of the inequality on a number line: x ≥ 11

Answers

Answer:

Here is how it should look

Step-by-step explanation:

5) If Oskar bisects the diameter of a circle, what is he trying to construct?


6) What is the center and radius of a circle with the equation (x - 5)+ (y + 3)2 = 49

Answers

Answer:

Center = (5,-3) and radius = 7

Step-by-step explanation:

(5) If Oskar bisects the diameter of a circle, what is he trying to construct the radius of the circle.

(6) The given equation is :

[tex](x-5)^2+(y+3)^2=49[/tex]

The general equation of circle is given by :

[tex](x-a)^2+(y-b)^2=r^2[/tex] ...(1)

Where

(a,b) are the coordinates of the centre and r is the radius.

The given equation can be written as :

[tex](x-5)^2+(y+3)^2=7^2[/tex] ..(2)

Comparing equation (1) and (2) we get :

a = 5, b = -3 and r = 7

So,

Center = (5,-3) and radius = 7

Hence, this is the required solution.

Line p passes through point (0,8) and is perpendicular to the graph of y=1/4x+2 line q parallel to line p and passes through point (-3,6) which is the equation of line q in slope intercept form

A. Y=1/4x+6
B. Y=-1/4x+8
C. Y= 4x-8
D. -4x-6

Answers

The answer is A bro trust ,e

7. The least of three consecutive positive integers is x. The sum of the three
integers is 60. The statement given above expressed as an equation is

Answers

Answer:

no. of consecutive integers--- X, X+1, X+2.

there sum is 60

X+X+1+X+2=60

3X+3=60

X+1=20

X=19

integers are=19, 20, 21

find x, find jl . any help is deeply appreciated :) !​

Answers

Answer:

6. x = 15

7. JL = 78

Step-by-step explanation:

6. 8x - 23 = ½(10x + 44) (midsegment theorem)

Multiply both sides by 2

2(8x - 23) = 10x + 44

16x - 46 = 10x + 44

Collect like terms

16x - 10x = 46 + 44

6x = 90

Divide both sides by 6

x = 90/6

x = 15

7. MN = 5x - 16

JL = 4x + 34

MN = ½(JL) (midsegment theorem)

5x - 16 = ½(4x + 34) (substitution)

2(5x - 16) = 4x + 34

10x - 32 = 4x + 34

Collect like terms

10x - 4x = 32 + 34

6x = 66

x = 66/6

x = 11

JL = 4x + 34

Plug in the value of x

JL = 4(11) + 34 = 44 + 34

JL = 78

value of x
plz answer correctly

Answers

Answer:

it is 80°

cause it is coming from the same cord AB

O and C will be same

Answer:

x = 40

Step-by-step explanation:

x = 80÷2 = 40

Central angle theorem

Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their
ages iS 92. Which equations could be used to find Hannah's age, h, if she is the older sibling?

Answers

Answer:

hannah is 47 and Anthony is 45

Step-by-step explanation:

Sum= 92= a+(a+1)

sum= 45+(46+1)

sum= 45+47

sum= 92

edge is stressful how do you get caught up quick

Answers

Work on it’s after school for like a couple of hours

two sides of a scalene triangle measure 15cm and 12cm if the perimeter of the triangle is 40cm, fine the length of the third side​

Answers

Answer:

40-15-12= 13

Step-by-step explanation:

15 + 12 + x = 40

Solve for x

A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x, the horizontal distance in yards of the golf ball from the tee box. What is the domain of the function for this situation?

Answers

Answer: C. 0 ≤ x ≤ 230

When the  A golfer hit a golf ball from a tee box that is 6 yards above the ground so the domain of the function is [0,260].

Calculation of the domain of the equation:

Here the domain is the values of 'x' in the function f(x).

the position at which the golfer is hit the ball is (0,6) and the position where the ball hits the ground is (230,0)

So, the domain of the function for this situation is [0,260].

Learn more about domain here: https://brainly.com/question/18573273

At your first job you make $1200 a month of that you save $200 a month. Your goal is to save 20% did you reach your goal?

Answers

Answer:

No, you didn't

Step-by-step explanation:

20% of $1200 is:

0.2*$1200 = $240

Since you saved $200 and its less than $240 you didn't reach your goal

Hi there!

No:

200 is only 6 parts of 1200 together which means that it can’t be 20% of 1200.

If it was 20% of 1200, it would then be 240 since 240·5=1200...

What this means:

No, did not reach the goal since 20% of 1,200 is 240 and 200 is only 16.67% of $1,200.

Here is a list of numbers.
9
7
5
10
5
3
a) Work out the median.
(2)
Josh picks at random one of the numbers.
b) What is the probability that he picks an even number?
(2)
Basil has five numbered cards.
Two of the numbers are hidden. 49 ||?|?
8
The mode of the five numbers is 8
The mean of the five numbers is 6
c) Work out the two hidden numbers.
(2)

Answers

a) median is 6
put numbers in ascending order
3, 5, 5, 7, 9, 10
take 5 and 7, add them together and divide by two
7+5
——
2

= 6

that’s one part

I need help asap, I'll give brainliest if its correct #34 points!

Answers

Answer:

a

Step-by-step explanation:

Answer:

A, (-2,-5)

Step-by-step explanation:

The perimeter of a rectangle is 54 cm. The width is 1 cm shorter than the length. What is the length and width of the rectangle

Answers

Answer:

13 is the width and 14 is the length

Step-by-step explanation:

I divided 54 and got 13.5 then I started adding random numbers around 13 like 12+12+13+13 that didn't work it came out to 50 so I went up and did 13+13+14+14 and got my answer

3. Find the measure of the sides of the triangle if the vertices of AEFG are E
(1,4), F(5, 4), and G(1,0). Then classify the triangle by its sides.

Answers

The triangle EFG is an isosceles triangle as side EF is congruent to side EG.

How to determine a triangle according to its sides

In this question we have a triangle whose vertices are known. We need to define the figure according to the congruency among its sides. Two sides are congruent when both have the same length. There are three kinds of triangles:

Scalene - Three sides of different length.Isosceles - Two sides of equal length.Equilateral - All sides are of equal length.

Sides are formed each pair of vertices. The length of each side can be found by means of Pythagorean theorem:

l = √[(Δx)² + (Δy)²]

First, write the locations of the vertices:

E(x, y) = (1, 4), F(x, y) = (5, 4), G(x, y) = (1, 0)

Second, determine the length of every side of the triangle:

EF = √[(5 - 1)² + (4 - 4)²]

EF = 4

FG = √[(1 - 5)² + (0 - 4)²]

FG = √[4² + (- 4)²]

FG = 4√2

EG = √[(1 - 1)² + (0 - 4)²]

EG = 4

By direct comparison, we conclude that the triangle EFG is an isosceles triangle.

To learn more on isosceles triangles: https://brainly.com/question/10147636

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bag contains 16 balls 4 are blue. how what percentage of balls are blue ?

Answers

Answer:

25% is the answer. 4 is 25% of 16.

The hall has 10 windows that measure 2m across and 2m high. It also has 4
doors that measure 2m high and 1,8m across
i)
What is the area of all four walls in the hall (including all windows and
doors)?​

Answers

Multiply all of that and that’s your answer

a persons weekly pay is directly proportional to the number of hours worked shawns pay is 123.00 for 20 hours of work .find the amount of pay for 31 hours of work

Answers

this sums up to bout 98.9 dollars

20. Given the area, find the side length.

Answers

Answer:

Step-by-step explanation:

Area of a square = 49a⁸b¹⁰

  Side = √49a⁸b¹⁰

           = √7²*(a⁴)²*(b⁵)²

          = (7a⁴b⁵)²

Side = 7a⁴b⁵

PLEASE HELP DONT ANSWER IF YOU DO NOT KNOW (the numbers got cut out)

Answers

look at the picture i attached for the answer :))

What percent of 31 is 48 if necessary round your answer to the nearest hundredth of percent

Answers

Answer:

64.58

Step-by-step explanation:

Answer:154.84%

Step-by-step explanation:

on 5x (2 + 1)2 : 3 =

Answers

Step 1 Add 2 to both sides.

5x=3+2

Step 2 Simplify  3+23+2  to  55.

5x=5

Step 3 Divide both sides by 5.

x=1

Hoped this helped :)

Also if this answered your question you can maybe give me brainilest?

Which number represents the mode?
8,10,12,14,16,18,20

Answers

Answer:

none

cz there's no no. that repeats itself

Helen is putting together a makeup kit for a friend there are 6 Types of eyeshadow and 3 types of mascara to choose from how many different kits can Helen make btw I’m in 7 grade

Answers

she can make 3 since theres only 3 mascaras? and for each makeup kit she can add two eyeshadows and one mascara

9x-7i>3(3x-7u)I need the answer please ​

Answers

Step-by-step explanation:

9x-7i<3(3x-7u)=

9x-7i<9x-21u=

-7i<-21u=

i<3u

y=5x+1 graph the equation

Answers

This is how you would graph y=5x+1

Just choose values for x like (-2,-1,0,1,2) then replace it in the equation. Ex. For -2 it would be y=5(-2)+1
Y=-9
So the point would be x=-2 and y=-9
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