if y is directly proportional to x and y=5 when x=2, find the value of y when x =7​

Answers

Answer 1

Answer:

y = 17.5

Step-by-step explanation:

y = kx

→ Substitute in the values

5 = 2k

→ Divide both sides by 2 to isolate k

k = 2.5

⇒ y = 2.5x

→ Substitute in x = 7

y = 2.5x ⇔ y = 2.5 × 7 ⇔ y = 17.5


Related Questions

Which equation can be used to solve for x in the following diagram? Choose 1 answer. 2x° degrees, 4x° degrees, 150° degrees

Answers

Answer:

The answer is option D.

Step-by-step explanation:

Hi, there!!!

Here, if you closely look this figure, you will find that AB and CD are interested at a point O.

now, OP is just a line constructed from point "O".

now, 2x°+4x°=150°.....is equation.

{Because, They are vertically opposite angle}

When two st. line intersects at a point then the abgle formed oppositely are equal.

Hope it helps..

When writing a equation how do you know where to put the equal sign ?

Answers

Answer:

The equal sign is generally placed at the separation between the left hand side and the right hand side

Step-by-step explanation:

Basically a typical equation has two parts, and one part is seen to be equal to the other part, and they are:

1. The left hand side2. The right hand side

Generally equations are expressed algebraically,that is using letters/ alphabets and symbols to express mathematical relations

The left hand side mostly is the solution of the equation, while the right hand side contains symbols, alphabets used to find solution to the equation.

 

In a circle, an arc measuring 130° is what percentage of the circumference of the circle

Answers

Answer:

≈ 36.1%

Step-by-step explanation:

In any circle the following ratio is equal

[tex]\frac{arc}{circmference}[/tex] = [tex]\frac{centralangle}{360}[/tex] = [tex]\frac{130}{360}[/tex] , thus

percentage = [tex]\frac{130}{360}[/tex] × 100% ≈ 36.1%

an arc measuring 130° is approximately 36.11% of the circumference of the circle.

To find the percentage of the circumference that an arc measuring 130° represents, we need to calculate the ratio of the arc length to the circumference of the circle and then convert it to a percentage.

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.

Let's assume the radius of the circle is r.

The circumference of the circle is C = 2πr.

To find the length of the arc corresponding to 130°, we need to calculate the fraction of the total angle (360°) that 130° represents:

Fraction of the angle = (130° / 360°) = (13/36).

Since the fraction of the angle is equal to the fraction of the arc length to the circumference, the length of the arc can be calculated as:

Arc length = Fraction of the angle * Circumference = (13/36) * (2πr).

Now, to find the percentage of the circumference that the arc length represents, we divide the arc length by the circumference and multiply by 100:

Percentage = (Arc length / Circumference) * 100

Percentage = [(13/36) * (2πr)] / (2πr) * 100

Percentage = (13/36) * 100

Percentage = 36.11%

Therefore, an arc measuring 130° is approximately 36.11% of the circumference of the circle.

Learn more about arc length here

https://brainly.com/question/10266974

#SPJ2

Jack picks 3 liters of berries in 8 minutes. Jill picks 4 liters of berries in 10 minutes. Working together, how many berries can they pick in 1 minute?

Answers

Answer:

they can pick 27 berry's

Step-by-step explanation:

I think-

They can pick 1.29 liters of berries in 1 minute working together.

--------------------------------------------

The together rate is the sum of each separate rate. In this question:

We want to find the together rate.Jack's rate is [tex]\frac{3}{8}[/tex]Jill's rate is [tex]\frac{4}{10}[/tex]

--------------------------------------------

Together, they can pick x liters, and the rate is: [tex]\frac{1}{x}[/tex]

Then

[tex]\frac{1}{x} = \frac{3}{8} + \frac{4}{10}[/tex]

[tex]\frac{1}{x} = \frac{15 + 16}{40}[/tex]

[tex]\frac{1}{x} = \frac{31}{40}[/tex]

Applying cross multiplication:

[tex]31x = 40[/tex]

[tex]x = \frac{40}{31}[/tex]

[tex]x = 1.29[/tex]

They can pick 1.29 liters of berries in 1 minute working together.

A similar question is given at https://brainly.com/question/23323624

Subtract the matrices

Answers

Answer:

pleas learn subtraction

Step-by-step explanation:

so it can make you better in math

Answer:

[tex]\large \boxed{\mathrm{Option \ A}}[/tex]

Step-by-step explanation:

[tex]{\mathrm{view \ attachment}}[/tex]

Hikes a location 27 meters above sea level. Brain hikes to a location 21 meters below sea level. Write an integer yo represent each hiker location with respect to sea level

Answers

Answer:

The number describing its location of Melissa to the sea-level is= 27  

The number which would be the position of Brian to the sea-level is = -21

Step-by-step explanation:

The number may be negative, positive, or zero.  

Let the sea level be 0.  

They realize that the location of Melissa is 27 meters and above the sea-level, per the relevant information given throughout the exercise.

It also may assume that it's numerical representing its position becomes greater than zero throughout terms of sea-level (this means that it is positive).  

It would then be= 27  

The place of Brian is 21 m away from the sea.  

The integer of its location is less than zero (negative), as regards the amount of the sea.  

It is, therefore= -21

can someone plzz answer dis ma braincells dont seem to work ​

Answers

Answer:

Good luck undersatnding.

Step-by-step explanation:

1.

A) 27 (over) 4

B)  97 (over) 117

2.

C) 8

D) -243 (over) 32

3.

Square root of 25 is 5

Square root of 16 is 4

Square root of 9 is 3

Square root of 1 is 1

4.

E)  553 (over) 72

F) 11 (over) 56

G) 65 (over) 18

H) 28 (over) 9

5.

E) 35941

F) 81130

G) 79567.75

H) 20525.857

I dont know 7-8

9.

E) Negative

F) Positive

G) Positive

H) Negative

10.

Square root of 25 is 5

Square root of 64 is 8

Square root of 121 is 11

Square root of 225 is 15

I couldn't post images for 6, it wont let me.

Cobalt-60 is used for radiotherapy. It has a half-life of 5.26 years. If 4 g of cobalt-60 is administered, how much remains in 3 years? A. 1.2 g B. 2.7 g C. 3.3 g D. 2.1 g E. 0.2 g

Answers

Answer:

B. 2.7 g

Step-by-step explanation:

The half life of a substance is the time taken for the substance to reduce to half of its original amount. It is given by:

[tex]A=A_o*(\frac{1}{2})^\frac{t}{t_{1/2}}\\ Where\ A\ is \ the \ amount \ of \ substance\ remaining\ after\ t\ years, \\A_o \ is \ the\ initial\ value\ of \ the\ substance,\ t_{1/2} is\ the\ half\ life\ and\\t\ is\ the\ years\ spent[/tex]

Given that:

Ao = 4 g, t = 3 years, t(1/2) = 5.26 years. Therefore:

[tex]A=A_o*(\frac{1}{2})^\frac{t}{t_{1/2}}\\A=4*(\frac{1}{2} )^\frac{3}{5.26}=4*0.6735=2.7\\ A=2.7\ g[/tex]

Which expressions are factors of the quadratic function represented by this graph?
A. x and (x+6)
B. (x-6) and (x+6)
C. x and (x-6)
D. x and -6x

Answers

Answer:

C. [tex]x[/tex] and $(x-6)$

Step-by-step explanation:

The roots of the quadratic equation are $0$ and $6$.

Hence the equation is $(x-0)(x-6)=x(x-6)$

Answer:

See below

Step-by-step explanation:

this one from maths pls help

Answers

Answer:

The total amount left by Manavi and Kuber is: (1) 399

Step-by-step explanation:

Manavi

saving account +  amount spent at the mall:  1/'2 + 1/4 =  3/4

left over: 1 - 3/4 = 4-3/4 = 1/4

1260 ( 1/4) = 315

The total leftover for Manavi is Rs.315.

Now do the same steps with Kuber.

Kuber

saving account +  amount spent at the mall: 1/3+ 3/5 = 14/15

left over: 1- 14/15 = 15-14/15 = 1/15

1260 (1/15) = 84

The total leftover for Kuber is Rs.84.

Lastly, just add both left over amount together.

315+84 = 399

The total amount left by Manavi and Kuber is: (1) 399

The following are scores obtained by some students in a test.
8 18 10 14 18 11 13 14 13 17 15 8 16 13. Find the mode of the distribution

Answers

Answer:

[tex] \boxed{13}[/tex]

Step-by-step explanation:

Arranging the data in ascending order:

8 , 8 , 10 , 11 , 13 , 13 ,13 , 14 , 14 , 15 , 16 , 17 , 18 , 18 ,

In the case of discrete data, mode can be found just by inspection, i.e just by taking an item with highest frequency.

Here, 13 has the highest frequency

So, Mode = 13

Extra information

Mode

The mode of a set of data is the value with the highest frequency. A distribution that has two modes is called bimodal. The mode of a set of data is denoted by Mo.

Hope I helped!

Best regards!

Find y round to the nearest tenth

Answers

The answer is Y = 27.8

Y is 27.8

Just trust me please :)

4x + 5y = 19 , 5y - 4x = 38​

Answers

Answer:

Step-by-step explanation:

Adding both equations

4x+5y+5y-4x=19+38

10y = 57

y= 5.7

Subtracting equation i from ii

5y-4x-4x-5y=38-19

-8x=9

x= -0.9

Simplify 2√28 - 3√63. I will give BRAINLIEST!

Answers

[tex]2\sqrt{28}-3\sqrt{63}=2\sqrt{4\cdot7}-3\sqrt{9\cdot7}=4\sqrt7-9\sqrt7=-5\sqrt7[/tex]

8 times the sum of a and b

Answers

Answer:

c

Step-by-step explanation:

i did the quiz

Answer:

8(a + b)

Step-by-step explanation:

Sun of a and b = a + b

8 times of (a + b) = 8(a + b)

If x is 5, then 6x = _____. please help >-

Answers

Answer:

30

Step-by-step explanation:

6x

Replace 'x' with 5.

6(5) =

6 * 5 =

30

Hope this helps.

Answer:

30

Step-by-step explanation:

6 x 5 = 30

Solve for y in the following system of equations: −x+y=0 −2x+y=−5 1. 5 2. 7 3. 6 4. 5

Answers

Answer:

y = 5

Step-by-step explanation:

−x+y=0   −2x+y=−5

Multiply the first equation by -2

-2(-x+y=0)

2x-2y =0

Add this to the second equation

 2x-2y =0

−2x+y=−5

-------------------

0x -y = -5

-y =-5

Multiply by -1

y = 5

The point (6, 6) is on the graph y = f(x) . Find the corresponding coordinates of this point on the graph y = 4f[1/3x +9] -7

a. (-9,17)
b. (17,-9)
c. (11,11)
d. (9,17)

Answers

Answer:

Correct answer is:

a. (-9,17)

Step-by-step explanation:

We are given that a point (6, 6) lies on the graph of [tex]y =f(x)[/tex].

Putting the values from the given point:

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

That means we are given that [tex]f(6) =6[/tex] ..... (1)

And we have to find the corresponding coordinates of this point on the graph of [tex]y = 4f[\frac{1}3x +9] -7[/tex]

From equation (1), we know the value of [tex]f(6)[/tex].

so, let us convert [tex]f[\frac{1}3x +9][/tex] to a form such that it becomes equal to [tex]f(6)[/tex]

[tex]\Rightarrow \dfrac{1}{3}x +9 =6\\\Rightarrow \dfrac{1}{3}x=-3\\\Rightarrow x = -9[/tex]

So, let us put [tex]x = -9[/tex] in the given function:

[tex]4f[\frac{1}3\times (-9) +9] -7\\\Rightarrow 4f[-3 +9] -7\\\Rightarrow 4f(6) -7[/tex]

Now, using equation (1), putting [tex]f(6)=6[/tex]

[tex]\Rightarrow 4\times 6 -7\\\Rightarrow 24-7 \\\Rightarrow y = 17[/tex]

Therefore, the point the corresponding point is:

a. (-9,17)

Pls help Q16 thx guys

Answers

Answer:

35°

Step-by-step explanation:

Extending line BC to point E on line AD

angle CED = 20° + 95°= 115°

ang|BCD|= ang|CED| + y

150°=115° + y

y= 150° - 115°

y= 35°

Answer:

y = 35°°

Step-by-step explanation:

∠BCD = 360 - 150 = 210°

Sum of angles of quadrilateral = 360°

210 + 20 + 95 + y = 360

325 +y = 360

Subtract 325 form both sides

y = 360 - 325

y =35°

What is 105x - 125y + 236z if "x = 10, y = 23, and z = 54" (40 points!) GIVE A GOOD EXPLANATION, NOT JUST AN ANSWER, WHO EVER DOES IT RIGHT FIRST GETS BRAINLIEST.

Answers

Answer:

Hey mate, here is your answer. Hope it helps you.

Step-by-step explanation:

105x-125y+236z

Now you need to multiply the values which are given for respective variables.

=105*10-125*23+236*54

=1050-2875+12744

=10919

Hi there friend!

The answer: 10,919

First we need to rewrite the problem.

105(10) - 125(23) + 236(54)

Now we need to multiply everything like so it looks like this:

1050 - 2875 + 12744 which equals:

10,919

I need helps will give you a good rating.

Answers

Answer: x = 3

Step-by-step explanation:

Sqrt(x+7) - 1  = x

Sqrt(x+7) = x + 1

x+7 = x^2 + 1

x = x^2 - 6

x=3

The bottom of the swimming pool seem to be raised 3m above with water of refractive index 4/3. The depth of water is:
A. 12m
B. 29m
C. 4m
D. 6m


(will mark the brainliest with explanation)​

Answers

B is your answer have a nice day

Sally left Tampa traveling 66 mph. Keith, to catch up, left some time later driving at 75 mph. Keith caught up after 8 hours. How long was Sally driving before Keith caught up?

Answers

Answer:

9.1 hours

Step-by-step explanation:

Given

Sally

Speed = 66mph

Keith

Speed = 75mph

Time = 8 hours

Required

Determine how long Sally has traveled

To solve this, we make use of Speed formula.

Speed = Distance/Time

Make Distance the subject of formula

Distance = Speed * Time

For Sally:[Substitute 66mph for speed]

Distance = 66 * Time ------ Equation 1

For Keith [Substitute 75mph for speed and 8 hours for Time]

Distance = 75 * 8

Distance = 600m----- Equation 2

From the question, we understand that Keith caught up; this implies that they've both traveled the same distance.

Hence;

Equation 1 = Equation 2

66 * Time = 600

Time = 600/66

Time = 9.1 hours

Hence, Sally has traveled 9.1 hours

I NEED HELP PLEASE FIRST ONE TO ANSWER THIS RIGHT GETS 5 STARS !

Answers

Answer:

The answer is 2

Step-by-step explanation:

[tex] {32}^{ \frac{1}{5} } [/tex]

To solve the question first write 32 in exponential form

That's

[tex]32 = {2}^{5} [/tex]

Multiply the exponent by 1/5

That's

[tex] {2}^{5 \times \frac{1}{5} } [/tex]

We have the final answer as

2

Hope this helps you

Answer:

2

Step-by-step explanation:

32 ^ (1/5)

Rewriting 32 as 2^5

2^5 ^ 1/5

We know that a^b^c = a^ ( b*c)

2^ ( 5*1/5)

2^1

2

44 pounds is equivalent to_____^a0 kilograms.

Answers

Answer:

19.504

Step-by-step explanation:

divide the mass value by 2.205

The height of the rectangular prism is 2 m. If its volume is 72 cubic meters, what is the area of the base, in square meters?

Answers

Answer:

Base area is 36 square meters

Step-by-step explanation:

The volume of a rectangular prism is V = (height)(length)(width).  We know all of these dimensions except for the area of the base, which is (length)(width).

Solving this equation for (length)(width), we get:

                                                       volume        72 m^3

(length)(width) = (area of base) = -------------- = -------------  = 36 m^2

                                                         height          2 m

NEED HELP!!! Please Write the quotient
as a mixed number.
93 divided by 5 = 18 R 3

Answers

Answer:

Hey there!

93 ÷ 5 can be written as 93/5.

5 goes into 93, 18 times, so we have [tex]18\frac{3}{5}[/tex]

Let me know if this helps :)

(2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i)

Answers

Answer:

50+50i

Step-by-step explanation:

Given the expression (2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i), we are to take the product of all the complex values. We must note that i² = -1.

Rearranging the expression [(3 - i)(3 + i)] [(2 + i)(1 - i)](1 + 2i)

On expansion

(3 - i)(3 + i)

=  9+3i-3i-i²

= 9-(-1)

= 9+1

(3 - i)(3 + i) = 10

For the expression (2 + i)(1 - i), we have;

(2 + i)(1 - i)

= 2-2i+i-i²

= 2-i+1

= 3-i

Multiplying 3-i with the last expression (1 + 2i)

(2 + i)(1 - i)(1 + 2i)

= (3-i)(1+2i)

= 3+6i-i-2i²

= 3+5i-2(-1)

= 3+5i+2

= 5+5i

Finally,  [(3 - i)(3 + i)] [(2 + i)(1 - i)(1 + 2i)]

= 10(5+5i)

= 50+50i

Hence,  (3 - i)(3 + i)(2 + i)(1 - i)(1 + 2i) is equivalent to 50+50i

A teacher interested in determining the effect of a new computer program on learning to read conducted a study. One hundred students were randomly assigned to one of tu
groups. The first group used the computer program while the second group did not. Both groups were tested to determine how much their reading levels improved. The results for the two groups were compared. What kind of study is this?

Answers

Answer:

This is an experiment because a treatment was applied to a group.

Step-by-step explanation:

There are two groups, The first group used the computer program while the second group did not therefore this is an experiment. An experiment involves changing an independent variable to see how it affects a dependent variable. The dependent variable in this case  determining the effect of a new computer program on learning while the independent variables was testing with the computer program and not testing with the program.

convert 0.129 into a percentage

Answers

Answer:

12.9%

Step-by-step explanation:

Answer:

0.129%

Step-by-step explanation:

Just add the percent sign

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