If y varies directly with x and y = 21 when x = 3, find y if x = 5.

First, find the direct variation equation. y = [ ? ] x​

Answers

Answer 1

when y = 21, x = 3

when y and x vary directly, that means there is something that you multipy x that gets you to y.

to solve for this number, you divide y by x.

21= 3=7

this means to go from x to y, you multiply x by 7.

7x = y

we can use this to solve for x when y = 42

7x = 42

divide both sides by 7

X = 6

when y = 42, x = 6


Related Questions

Slove the math step by step

Answers

Answer  19

Step-by-step explanation:

x+a+y+a =19

A swimming pool is open for 7 1/2hours during a day. The pool keeps one lifeguard on
duty at a time, and each lifeguard's shift is 2 1/2hours long. How many shifts are there
per day?
7 shifts
5 shifts
3 shifts
4 shifts

Answers

Answer:

3 shifts a day

Step-by-step explanation:

7 1/2 hours = 7.5 2 1/2 hours = 2.5

7.5 divided by 2.5 = 3

Answer:

3 shift

Step-by-step explanation:

7 1/2 / 2 1/2

(15/2) / (5/2)

keep, change, flip

(15/2) x (2/5)

30/10 = 3 shifts

Jada walks dogs to earn money. The points in this graph represent the total amount of money Jada earns based on the number of hours she walks dogs. Jada wants to purchase a new jacket that costs $32.

How many hours does Jada need to walk dogs to earn enough money to buy the jacket?

Answers

Answer:

Eight Hours.

Step-by-step explanation:

Since she makes 4$ in 1 hour, you divide 32 by 4 to see how many hours it would take her.

32 divided by 4 = 8

Jada needs 8 hours to walk dogs to earn enough money to buy the new jacket which costs $32.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Jada wants to purchase a new jacket that costs $32.

Since she makes 4$ in 1 hour

So, Time is taken to earn money to 4$ = 1 hour

      Time is taken to earn money to1$  = 1/4hour

Time is taken to earn money to 32$ = 32/4hour

                                                   = 8 hour

Thus, Jada needs 8 hours to walk dogs to earn enough money to buy the jacket.

Learn more about the unitary method;

https://brainly.com/question/23423168

HELP THIS IS MY LAST QUESTION
Sebastian is going to choose design elements that include color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 10 colors, 14 patterns, 12 fonts, and 9 images for him to choose from. (He will choose only one of each.)
How many different sweatshirt designs are possible?

Answers

Answer:

8

Step-by-step explanation:

Answer:

4320

Step-by-step explanation:

khan academy

3x+4=2

Testing out the website thank you

Answers

Answer:

x=-6

Step-by-step explanation:

3x+4=2

3x=2-4

x=-2*6

x=-6

Answer:

3x+4=2

Sub 4

3x=-2

Divide 3

-2/3 or -0.67

Write the word sentence as an equation.

A number w divided by 5 equals 6.

Answers

Answer:

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

Step-by-step explanation:

The first part indicates division with the phrase, divided by.

A number w divided by 5 - [tex]\frac{w}{5}[/tex]

Equals '6' would indicate that the value of 'w' and '5' would be '6'.

Equals 6 - [tex]= 6[/tex]

Hope this helps.

How to solve this problem. Please! Urgent
log 3+ loga(a^3)

Answers

log 3 + 3log a ( a ) =

log 3 + 3 × 1 =

log 3 + 3 =

0.4771 + 3 =

3.4771

PLEASE HELP!!! Find (angle) BAD.

Answers

Answer:

125

Step-by-step explanation:

31+24= 55 180-55= 125

Please help, just want to make sure my answers are right.

Answers

Answer:

this can happen in 9 ways possible i did the test and got it correct

Step-by-step explanation:

no links I can write equations to model real-world problems.

A.
strongly agree

B.
agree

C.
disagree

D.
strongly disagree

Answers

Answer:

Hello I am here to help!! I personally think that it is A

Step-by-step explanation:

You can write equations like 2+2 for example.You can solve it for how many dollars this person has in their bank account. (This is just an example btw)

Answer: disagree
I think

PLEASE HELP!
Solve for x.
A.108 degrees
B.72 degrees
C.18 degrees
D.17 degrees


Answers

Option : D

72°+x =90°

x =18°

Please help me out here

Answers

Answer:

40*

Step-by-step explanation:

the whole line FC would measure 180* so then 180-50 for AGC then AGB is congruent to EGD so 180-50-90---> 130-90---> 40* so angleBGC is 40 degrees

HELP PLEASE I NEED TO PLOT THIS POINT :)

Answers

The point would be at (-6,5) I believe. Sorry if this is incorrect.

What is the surface area of the square pyramid? ​

Answers

Answer:

You find the area of all the faces of the square pyramid, then add them together to get the surface area.

Tommy ate 512 of pizza, Johnny ate 14 of the pizza, and Mike ate 112 of the same pizza. How much of the pizza did they eat together?

Answers

Answer:

126

Step-by-step explanation:

112 plus 14 equals to 126

they ate 126 pizzas all together

If Tom has 3 apples and Abby takes 4 then how many apples does Tom have left?

Answers

Answer:

He has 3 because it didn't say Abby took his..

Is that right?!

Answer:

0 apples

Step-by-step explanation:

3 - 4 = - 1

0 apples

What is the correct reason for statement 1

Answers

Answer:

Given

Step-by-step explanation:

You are given the information about the angles under the line given.

pyramid = 40
prism = 30
prism = 30
Wprism = 30
What is the volume of this solid?
O A. 39,000
B. 63,000
C. 100,800
D. 27,000

Answers

Answer:

A. 39,000.

Step-by-step explanation:

Volume of the lower prism = 30^3= 27,000

Volume of the pyramid = 1/3 area of the base * height

= 1/3 * 900 * 40

= 1200

Volume of the whole solid = 27000 + 12000

= 39,000,

Part 3a. NO LINKS. Find the measure of the arc or angle indicated.​

Answers

9514 1404 393

Answer:

  99°

Step-by-step explanation:

Arc YZ is twice the measure of angle X, so is 136°. The sum of the arcs of a circle is 360°, so the unknown arc is ...

  360° -136° -125° = 99° . . . . measure of arc XZ

Answer:

Solution given:

<x=68°

arc XY=125°

arc XZ=?

we have

<X+<W=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]

<W=180°-68°=112°

Now

arc YZ=2×112°=224°[central angle is equal to the twice of its inscribed angle]

arc YZ=224°

arc XY +arc YZ=224°

125°+arc YZ=224°

arc YZ=224°-125°

arc YZ=99°

the measure of the arc or angle indicated is 99°.

What type of angle measures 40 degrees
?

Answers

Answer: An acute angle

Step-by-step explanation: An acute angle is an angle that measures 89 degrees or less (Less than 90 degrees). Another way to define acute angles is any angle that is smaller than a right angle.

Acute angle hope this helps

Find mean and median of un grouped data 3,12,8,17,10,16

Answers

Answer:

mean=sum of data /no of data

=66/6

=11

mean=11

for median u should arrange the data from ascending to descending order.so,

3,8,10,12,16,17

median=N+1/2(N=number of data)

=7/2

=3.5

=3 rd term + 4 th term/2

=10+12/2

=22/2

=11

median=11

Step-by-step explanation:

Answer:

mean: 11

median: 11

Step-by-step explanation:

3,12,8,17,10,16

average = (3 + 12 + 8 + 17 + 10 + 16)/6 = 66/6 = 11

3,8,10,12,16,17

median = 11

centre numbers are 10 and 12, and their sum/2 = 11

3 divided by what equals -8.16

Answers

-2.72
Hope that helped
Do you know criminal minds?

if 3x^2+3y^2=42 and xy =-15.Find the value (x-y)^2

Answers

Answer:

44

Step-by-step explanation:

Given, 3x^2 + 3y^2 = 42

=>3(x^2 + y^2) = 42 =>x^2 + y^2 = 42/3= 14

Thus,

= (x - y)^2

= x^2 + y^2 - 2xy

= (x^2 + y^2) - 2xy

= 14 - 2(-15)

= 14 + 30

= 44

4x-3y<16, which ordered pair?

Answers

Answer:

A. (3, -1)

Step-by-step explanation:

The ordered pair that is a solution is the one which makes the inequality TRUE when the value of the ordered pairs are plugged into 4x - 3y < 16

Therefore, the ordered pair, (3, -1) is the solution because it is the only given ordered pair in the options that makes the inequality true. Thus:

Substitute x = 3 and y = -1 into 4x - 3y < 16

4(3) - 3(-1) < 16

12 + 3 < 16

15 < 16 (TRUE)

what two intergers does 19.2 come in between

Answers

19.2 is between integers 19 and 20 :)

Answer:

19 and 20

Step-by-step explanation:

Jessica is getting ready for college she needs to have an
overall grade of 85 in her Math class to qualify for the college that
she wished to attend. Her math grade is based solely on her
scores on 6 exams. On the first 5 exams her scores were 87, 81,
85, 90, 78. Write an inequality that represents her predicament.
What does score does she need to get on her last test to qualify?

Answers

Answer:

Step-by-step explanation:

ask cymath it will help you with any mathmatical problem

How do I complete this question on arc length?

Answers

Answer:

v ≈ 8.5 km/h

Step-by-step explanation:

Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.

Use the radius of the water wheel to find it's circumference C:

[tex]C=2\pi r[/tex]                                               [set r = 1.5 m]

⇒ [tex]C=2\pi (1.5)[/tex]

[tex]C=3\pi[/tex] m

One revolution of the water wheel corresponds to [tex]3\pi[/tex] meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:

[tex]15(3\pi )[/tex] = [tex]45\pi[/tex] [tex]m[/tex]/min

Using this result, the speed of the river in kilometers per hour will be:

[tex]v=\frac{45\pi m }{1 min}[/tex] ×  [tex]\frac{1 km}{1000 m}[/tex] × [tex]\frac{60 min}{1 h}[/tex]

⇒ [tex]v=8.48230016469[/tex]  [tex]km/h[/tex]

⇒ [tex]v[/tex] ≈ [tex]8.5[/tex] km/h

Answer:

8 km per hour

Step-by-step explanation:

C = [tex]\pi[/tex] d

C = [tex]\frac{66}{7}[/tex]

Velocity = [tex]\frac{66}{7}[/tex] × 15 = [tex]\frac{990}{7}[/tex] ( meters per minute ) = [tex]\frac{0.99}{7}[/tex] × 60 ≈ 8.5 km/h

6/7 divide 4

Show your workings

Answers

Answer:

6/28 or 0.214

Step-by-step explanation:

6/7÷4=6/7÷4/1

6/7÷4/1=6/7×1/4

6/7×1/4=6/28

Not sure if you're allowed to leave it in a fraction or not, so as a decimal, it's 0.214 to 3 s.f.

Hope this helps :-)

Answer:

3.4285714284

Step-by-step explanation:

6÷7 = 0.8571428571

0.8571428571 × 4 = 3.4285714284

HELP ME PLEASE You notice that another cupboard door is in the shape of a square that is divided into two isosceles triangles. You measure the height of the cupboard to be 16 "2" /"3" inches. What is the area of one of the triangles shown on the face of the cupboard door? Show your work.

Answers

Answer:

138 "8/9"

Step-by-step explanation:

Which of the following statements about the mapping is not true?

Answers

Answer:

C. The mapping represents a relation but not a function

Step-by-step explanation:

✔️The relation is a function because every input value (domain) is mapped to exactly one output value (range). So option A is TRUE.

✔️The range consist of 2 and 1 (output values).

Option B is TRUE

✔️In the domain (input value), we have 3, 6, 7.

Option D is TRUE

Only option C is NOT TRUE.

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