If y varies inversely as x. Using the coordinates (5, 3) and (x, 2.5), find the missing value x.

Answers

Answer 1

Answer:

(6, 2.5 )

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k substitute the coordinate point (5, 3 ) into the equation, that is

3 = [tex]\frac{k}{5}[/tex] ( multiply both sides by 5 )

15 = k

y = [tex]\frac{15}{x}[/tex] ← equation of variation

Using (x, 2.5 ) with y = 2.5 , then

2.5 = [tex]\frac{15}{x}[/tex] ( multiply both sides by x )

2.5x = 15 ( divide both sides by 2.5 )

x = 6

Thus point is (6, 2.5 )


Related Questions

What is the distance from the top of the iceberg, 6.5 meters above sea level, to the bottom of the iceberg, 52.85 meters below sea level?

Answers

Answer:

I dont know

Step-by-step explanation:

It has to be C because absolute value doesn’t allow you negative answers.

Jordan is running sprints across a football field. He runs 30 yards in 6 seconds. At what
rate is Jordan running in yards per second?

Answers

Answer:

= 5 yards per second

Step-by-step explanation:

Have A Wonderful Day !!

You are shopping for school supplies. There is a sign at the front of the store advertising that you can either buy 4 binders and 4 notebooks for $17.00, or you can buy 2 binders and 6 notebooks for $15.50. Assume that the prices of binders and notebooks are constant. You have $30 total.

I. 6 binders and 8 notebooks

II. 8 binders and 6 notebooks

III. 12 binders

Which of the following combinations can you afford?
A. I only
B. I and II
C. I and III
B. II and III

Answers

Answer:

A) I only

Step-by-step explanation:

help please? Find the values of a,b,c,d,e and f

Answers

9514 1404 393

Answer:

a = 30b = 15c = 3d = 30e = 10f = 20

Step-by-step explanation:

The acute angles are all 60°, and the obtuse angles are all the supplement of that, 120°.

Working from the left, we have ...

  a +30 = 60  ⇒  a = 30

  30 +2b = 60  ⇒  b = 15

  5b -5c = 60  ⇒  15 -c = 12  ⇒  c = 3

  10c +d = 60  ⇒  d = 30

  2d +6e = 120  ⇒  60 +6e = 120  ⇒  e = 10

  4f +4e = 120  ⇒  f +10 = 30  ⇒  f = 20

I NEED HELP ASAP IT'S DUE IN 40 MINUTES!!! I'LL GIVE BRAINLIEST!!!

Answers

Answer:

Transversal

Step-by-step explanation:

can someone please tell me what 76% of 180 is i thought i for sure got it right but i didnt , HELP!!!

Answers

Answer:

136.8

Step-by-step explanation:

76 percent *180 =

(76:100)*180 =

(76*180):100 =

13680:100 = 136.8

2x²+30y-3y²+4xy-14-x


Option 1,2,3 or 4?

Answers

there’s no alike terms so it would be option 3

what is the value of u

Answers

Answer:

I think the value of u is 74.

how many sides does a regular polygon have each interior angle of which is measure 120​

Answers

Answer:

12

Step-by-step explanation:

step by step explanation

I think the answer is 6

I rly need help! I will mark brainliest if you are correct

Answers

Range is 4 dom is 7
Hope that helps

One smaller cube labeled with fish food with dimensions of one-quarters feet on each side. Larger cube labeled shipping box with dimensions of length 3 and three-fourths feet; width of 3 feet; height of 3 and one-quarters feet. Part 1: Understanding Volume

Answers

Answer:

Given: Length of smaller cube= 1/4 feet each side

Length of larger cube= 3.75 feet

Width of larger cube= 3 feet

Height of larger cube= 3.25 feet

Step-by-step explanation:

Volume of a cube= length * width * height

Volume of a larger cube= 3.75 * 3 * 3.25 cubic foot

Volume=36.5625 cubic foot

Volume of smaller cube= length * length * length (as length is same on each side)

Volume of smaller cube= 1/4 * 1/4 * 1/4

Volume of smaller cube= 1/64 cubic foot

Hence, volume is calculated.

a mathematical statement that two or more expressions are equal.

Answers

an equation is a mathematical statement that two expressions are equal

Pleas help me I really need it

Answers

Hello! I hope this helps you!

If you are to simplify the expression, you’d be getting the answer of:

8x-2

before distributing the negative:

(7x2 + 3x) - (8x2 - 5x)

after distributing the negative:

7x2 + 3x - 8x2 + 5x

now add like terms:

7x2 + 3x - 8x2 + 5x

-x2 + 8x

or

8x - x2

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

IF U HELP U GET BRAINLISTED the difference of a number and six is the same as five times the sum of a number and 2 what is the number​

Answers

Answer:

[tex]let \: the \: number \: be \: x \\ x - 6 = 5(x + 2) \\ x - 6 = 5x + 10 \\ 4x = - 16 \\ x = - \frac{16}{4} \\ x = - 4 \\ the \: number \: is \: - 4[/tex]

please help me finish this problem of pythagorean theorem model.​

Answers

Answer:A= 13^2= 169

Step-by-step explanation:

Use the pythagorean theorem

Please help me with this math problem if you can. You just say yes or no if it’s a square, rectangle, etc. and then give the reason why

Answers

The quadrilateral is a rhombus because the diagonals are perpendicular.

inequality n < -5
HELPPP ASAPPP

Answers

Answer:

please give me a brainless 0

Inequality :

α1+(n−1)a−(⌊n÷m⌋×(a−b))≥x

The following is as far as I get:

α1+(n−1)a−(⌊n÷m⌋×(a−b))≥x

(n−1)a−(⌊n÷m⌋×(a−b))≥x−α1

n−1−(⌊n÷m⌋×(a−b))≥x−α1a

n−(⌊n÷m⌋×(a−b))≥x−α1a + 1

Step-by-step explanation:



Elsa usually bakes 350 dozen muffins a month. At this rate, how many dozen will she bake in a year ?

Answers

Answer:

4200 dozen

Step-by-step explanation:


If a graph fails the vertical line test, what does that mean?
The graph is not a domain.
The graph is not an order pair.
The graph is not a relation.
O The graph is not a function.

Answers

Answer:

the graph is not a function

Step-by-step explanation:

It is not a function because it was more than 1 x value per a y

Jared started a new job. On the first day he had orientation and worked for 2 hours. On the second day he trained for 4 hours. After that, Jared worked 8 hours each day. If his first paycheck shows that he is being paid for 94 hours of work, how many days did he work a full 8-hour day?

Answers

Answer:

Jared worked 11 days as full 8-hour days.

Step-by-step explanation:

We have:

First day = 2 h

Second day = 4 h

After that = 8 h each day    

Since his paycheck shows 94 hours of work, we can find the number of days that he works 8-hour day:

[tex] 94 h = 2 h + 4 h + 8 h*x [/tex]

Where x is the number of days that he works 8-hours.

[tex] 8 h*x = 88 h [/tex]

[tex] x = \frac{88 h}{8 h} = 11 [/tex]

 

Therefore, Jared worked 11 days as full 8-hour days.

I hope it helps you!                                              

Gabby has 20 coins in her pocket that are quarters, dimes, and nickels. The total value of the coins is $2.70. The number of nickels that she has is equal to the number of quarters plus the number of dimes. Choose the system of equations that can be solved to find the number of quarters, 9, dimes, d, and nickels, n, that Gabby has.

Answers

Answer:

There's 9 nickels and no dimes

Step-by-step explanation:

the quarters equal $2.25

so there is at least 9 nickel's witch equals .45 cents add them and get $2.70 so

The system of equations to find the number of quarters, 9, dim, d, and nickels, n, that Gabby has are;

n = q + dn = 10q +d = 10

Since, the total value of quarters, dim, and nicke is; $2.70.

Since the number of nickels that she has is equal to the number of quarters plus the number of dimes; we have;

n = q + d

Since, Gabby has 20 coins in her pocket.

n + q + d = 20

Therefore 2n = 20 from n = q + d

n = 10

Read more on system of equations:

https://brainly.com/question/20978003

Work out the percentage change when a price of £10 is increased to £14.​

Answers

Answer:

40%

Step-by-step explanation:

14-10 = 4, which is a 4 euro increase.

4/10 = 40%

Or we can see that 14/10 = 1.4, or 140%, which is a 40% increase

which of the following is equivalent to (Cd) to the fifth power

Answers

Answer:

The 3rd option is correct.

Step-by-step explanation:

This is because of an exponent rule that goes:

(xy)^z = x^z(y^z)

The whole thing gets raised to the power. Therefore only the 3rd one works (ps. if you can mark as brainliest that would be amazing, but if not that's fine)

HELP PLEASE 50 PT
A chocolate chip cookie recipe calls for 212 cups of sugar. A snicker doodle cookie recipe calls for 314 cups of sugar. How much more sugar, in cups, is in the snicker doodle recipe?**

Answers

Answer:

102 cups

Step-by-step explanation:

314-212=102

102 cups of sugar.

Hope this helps

The graphs of the equations 4x - y = 6 and x + y = 4 intersect at
the point whose coordinates are

Answers

Answer:

The graphs of the equations 4x - y = 6 and x + y = 4 intersect at  the point whose coordinates are (2,2)

Step-by-step explanation:

The graphs of the equations 4x - y = 6 and x + y = 4 intersect at  the point whose coordinates are?

We need to find the values of x and y by solving the system of equations.

The values of x and y are the point of intersection of those lines.

We have:

[tex]4x - y = 6--eq(1) \\x + y = 4--eq(2)[/tex]

Adding both equations and finding value of x

[tex]4x - y = 6\\ x + y = 4\\-----\\5x+0y=10\\5x=10\\x=\frac{10}{5}\\x=2[/tex]

We get, the value of x: x=2

Now, putting value of x in equation 2 to find value of y:

[tex]x+y=4\\Put\:x=2\\2+y=4\\y=4-2\\y=2[/tex]

So, we get y=2

Therefore we get x=2 and y=2

The solution set is: (2,2)

So, The graphs of the equations 4x - y = 6 and x + y = 4 intersect at  the point whose coordinates are (2,2)

Two tour groups are visiting an aquarium. There are 20 children in one group and 22 children in the other. Along with the 2 group leaders, there are 5 additional adults between the two groups. If the cost per child is $9.00 and the total for both groups is $490, what is the cost per adult?

Answers

Answer:

The cost per adult is $16.

Step-by-step explanation:

Given that:

Total number of children = 20+22 = 42 children

Total number of adults = 2 + 5 = 7 adults

Total cost for both groups = $490

Cost per child = $9.00

Cost of children ticket = 9.00*42 = $378

Cost of adult tickets = 490-378 = $112

This is the cost for 7 adult tickets.

Cost per ticket = [tex]\frac{112}{7}[/tex] = $16

Hence,

The cost per adult is $16.

Please help with this math problem I’ll mark you brainiest

Answers

SRW= 116
SRT= 58
I think, I’m not sure !

10) 5x + 12 = 4x + 6 = 6

11) −8x − 14 = 7(−2 − 4x) + 4x

12) 16 − 2n = −8 + 4(n − 3)

13) −6(3 − 6r) = −18 + 4r

14) 4(3b − 1) = 9 − b

15) −6x + 7(1 − x) = −4(x − 4)

16) 5 − (8v + 5) = −4(1 + 3v)

17) −8(4 + 4n) = 8(n + 6)

18) 3(a − 6) = −5a − (7 + 3a)

Answers

Answer:

10. -6

11. x=0

12. n=6

13. r=0

14. x=-1

15.x=-1

16.v=-1

17.n-2

18.a=1

Step-by-step explanation:

f(x) = 1/3x -2; reflection in the x-axis

Answers

would it be -1/3x -2?

Need a little help here pls

Answers

Answer:

The statements that must be true are:

XY and JK form four right angles ⇒ B

XY ⊥ JK ⇒ C

JP = KP ⇒ E

m∠JPX = 90° ⇒ F

Step-by-step explanation:

From the given figure

∵ Line XY is the perpendicular bisector of the line segment JK

→ That means line XY is the line of symmetry of the line segment JK

XY ⊥ JK ⇒ C

∵ XY ∩ JK at point P

P is the midpoint of JK

∵ XY ⊥ JK

∴ ∠JPX, ∠KPX, ∠JPY, and ∠KPY are right angles

XY and JK form four right angles ⇒ B

∵ The measure of the right angle is 90°

∴ m∠JPX = m∠KPX = m∠JPY = m∠KPY = 90°

m∠JPX = 90° ⇒ F

∵ P is the midpoint of JK

JP = KP ⇒ E

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