Suppose that y varies inversely with x. Given x=-3 when y=-105. Find y when x=15

Answers

Answer 1

Answer:

21

Step-by-step explanation:

It is given that y varies inversely with x.

[tex]y\propto \dfrac{1}{x}[/tex]

[tex]y=\dfrac{k}{x}[/tex]       ...(i)

where, k is constant of proportionality.

It is given that x=-3 when y=-105. Substitute these values in equation (i), to find the value of k.

[tex]-105=\dfrac{k}{-3}[/tex]

[tex]-105\times (-3)=k[/tex]

[tex]315=k[/tex]

Now,

[tex]y=\dfrac{315}{x}[/tex]

Substitute x=15 in the above equation.

[tex]y=\dfrac{315}{15}[/tex]

[tex]y=21[/tex]

Therefore, the value of y is 21 when x=15.


Related Questions

Determine the intercepts of the line.
y = 5x - 13​

Answers

Answer:

x intercept(s): (13/5,0)

y intercept(s): (0,-13)

Step-by-step explanation:

Frank will paint a wall that measures 10 feet by 14 feet what is the area of the wall that frank will paint

Answers

Answer:

140 ft squared

Step-by-step explanation:

Answer:

140 ft

Step-by-step explanation:

10 × 14 = 140 so the answer is 140 ft

A jar contains 50 marbles, 21 are blue, 15 are yellow, and the rest are red. What is the probability that you pick out a blue marble?

Answers

Answer:

The probability of drawing a red marble = 2/5. The probability of drawing a blue marble is now = 1/4. The probability of drawing a red marble = 2/5.

Step-by-step explanation:

Answer:

42%

Step-by-step explanation:

There are 21 blue marbles out of the 50. Divide 21 with 50:

21/50 = 0.42

Next, change the decimal to a percentage. To do so, move the decimal point to the right two place values and slap a percentage sign onto it:

0.42 = 42%

42% is your probability of picking a blue marble.

~

Jasmine decorates 7 bags . She uses 5/8 yard of ribbon on each bag how many yards if ribbon does jasmine use in all 100 points pls help

Answers

Answer:

4 3/8

Step-by-step explanation:

7*5/8=

7/1* 5/8

7*5=35

1*8=8

35/8=4 3/8

Answer:

4 3/8 ribbon

Step-by-step explanation:

If 1 bag = 5/8 of ribbon

What about 7 bags = ?

= (7 x 5/8) ÷ 1

= 35/8 ÷ 1

= 35/8

= 4 3/8 ribbon

Use the graph or table to write a linear function that relates to y to x.

Answers

Answer:

the answer to the question is D

Look at the figure below. Which of the following statements could be a step in a proof that vertical
angles are congruent?
APC = DPB because angles formed by the
same pair of intersecting lines are congruent to each
other.
ZAPC ZDPB because angles complementary
to the same angle are congruent to each other.
ZAPC ZDPB because angles adjacent to the
same angle are congruent to each other.
ZAPC ZDPB because angles supplementary to
the same angle are congruent to each other.

Answers

Answer:

ZAPC ZDPB because angles adjacent to the

same angle are congruent to each other.

Step-by-step explanation:

(4x + 30)
What’s the answer

Answers

Answer:

Fraction form -15/2

Decimal form -7.5

Step-by-step explanation:

4x+30=0

subtract 30 from both sides

4x=-30

divide both sides by 4

x=-30/4

simplify

-15/2 or -7.5

simplify x^2 + (y - 4)^2

Answers

x^2 + y^2 - 8y + 16 :)

The triangle shown below has an area of
40
4040 units
2
2
squared.
Find the missing side.

Answers

Answer:

x = 10 units

Step-by-step explanation:

The formula for the area of a triangle of base x and height h is A = (1/2)(x)(h).

Here A = (1/2)(x)(8) = 40, so 8x = 80 and x = 10 units

If we look at this triangle we can see the straight line (the height). We want to use the height to figure out the side? Well divide 40 with the height (8). And now you get 5(cause 5*8 is 40. duh)

Complete the following ratios:

Answers

Answer:

700/821, 429/821, 700/429

Step-by-step explanation:

SOH, CAH, TOA

Sin= opp/hyp

Cos= adj/hyp

Tan= opp/adj

yes he is correct ..

Write a recursive formula for the following arithmetic sequence.
8, 5, 2, −1,

Answers

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3

Step-by-step explanation:

A recursive formula allows a term in the sequence to be found from the previous term by adding the common difference to it.

Here d = 5 - 8 = - 3, thus

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 with a₁ = 8 ← recursive formula

Easy question!

What is 6(4+2)?​

Answers

Answer:

36

Step-by-step explanation:

6(4+2)

6(6)

36

Answer:

36

Step-by-step explanation:

Hoping this helps!

Solve the following inequality in two ways and make a claim as to which
method is more efficient.
1/4 (8n - 12) < n + 2

Answers

Answer:

The solution of the given inequality  n < 5

Step-by-step explanation:

Explanation:-

Given inequality

                     [tex]\frac{1}{4} (8 n -12 ) < n +2[/tex]

Step(i):-

 Cross multiplication '4' we get

                    8 n - 12 < 4 ( n +2)

                    8 n - 12 < 4 n + 4×2

                    8 n - 12 < 4 n +8

      Subtracting  '4 n ' on both sides, we get

                 8 n - 4 n - 12 < 4 n - 4 n +8

                 4 n - 12  <  8

Step(ii):-

Adding ' 12 ' on both sides , we get

                4 n -12 + 12 < 8 + 12

                               4 n < 20

Dividing "4' on both sides , we get

                                 n < 5

The solution is n < 5

Conclusion:-

The solution of the given inequality  n < 5

What is the volume of the right rectangular prism, in cubic centimeters? A prism has a length of 4 centimeters, height of 9 centimeters, and width of 3 centimeters. cubic centimeters

Answers

The formula for volume is V = lwh

This means that the volume is equal to the length times the width times the height.

Multiply the three numbers for your answer.

Length = 4, width = 3, height = 9

lwh = 4cm X 3cm X 9cm = 12cm^2 X 9cm = 108cm^3

And there you have it! Your final answer is 108 cm^3 OR 108 cubic centimeters!

I do not mean to scare you, but this is the most basic volume formula! As you encounter different 3D shapes, the formulas will change!

You are going to want to practice with more of this type of problem before you move on to other shapes!

The volume of the given rectangular prism is 108 cubic centimeters.

What is a rectangular prism?

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.

Given that, a prism has a length of 4 centimeters, height of 9 centimeters, and width of 3 centimeters.

We know that, the volume of a rectangular prism = Length×Breadth×Height

= 4×3×9

= 108 cubic centimeters

Therefore, the volume of the given rectangular prism is 108 cubic centimeters.

To learn more about the rectangular prism visit:

https://brainly.com/question/27812749.

#SPJ3

Two number cubes each have sides that are labeled 1 to 6. Jude rolls the 2 number cubes. What is the probability that the sum of the numbers on
cubes will equal 4?​

Answers

Answer: 3

This is the answer if you think its wrong i don't know its correct i got it right

Aisha is playing a game in which she can gain or lose points on each turn. The table below
shows the points she scores on each of four turns in the game.
Aisha states that her highest score is on Turn 3, because 16 is greater than 3, 10, or 9. Use the
drop-down menus to explain Aisha's mistake.

Answers

Answer:compares the absolute value ,score of 16 represents greatest lost ,highest score farthest away from 0, on a number line that number is 10

Step-by-step explanation:ig/ 6k.mar

A score of -16 represents the lowest of points for these four turns.

The number for Aisha's highest score will be turn 2 on the number line.

That number is 10.  

What is number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

Since the options of the drop down menu are not included, you should choose any option similar to lowest.

Aisha's highest score was obtained in turn 2 and that is 10.

we have,

Aisha is comparing absolute terms, that is why she believes that -16 represents a good score, while in reality is the worst she got.

Hence, A score of -16 represents the lowest of points for these four turns.

The number for Aisha's highest score will be turn 2 on the number line.

That number is 10.  

To learn more on number click:

brainly.com/question/17429689

#SPJ7

Solve 2x2 + x - 6 = 0
{-3/2, 2)
{-2, 3/2)

Answers

Answer:

-24

Step-by-step explanation:



What is the volume of the following triangular prism?

60 cm3
12 cm3
3.75 cm3
6 cm3

Answers

Answer:

what prism?

I've done the same test before so I know the answer is 6 cm3

Could you please include the picture of the prism next time?

Step-by-step explanation:

Answer:

Im a bit late but the answer us 6 cm3

Step-by-step explanation:

The formula to find the volume of a triangular prism is

(1/2 x length x width) x height

or in other words

base x height

The base is the triangle on the side of the prism.

evaluate this expression:
(1/5 x 5) ^5

Answers

Answer:

The answer is x ^5

True or false the focal length F is the directed distance from the vertex (h, k), to the focus of the parabola

Answers

Answer:

true

Step-by-step explanation:

To find the mileage, or how many miles a car can travel per gallon of gasoline, you can use the expression m/g, where m is the distance in miles and g is the number of gallons of gas used. Find the mileage in miles per gallon for a car that travels 585 miles on 18 gallons of gas? (Your answer does not need miles per gallon at the end.)

Answers

Answer:32.5

Step-by-step explanation:

585/18


Write an equation in slope-intercept form for the line that passes through (−5,−2) and is perpendicular to the line described by y=5/3x+2.

Answers

Answer:

Step-by-step explanation:

y + 2  = (-3/5)(x + 5)

y + 2 = (-3/5)x - 3

y = (-3/5)x - 5

Bruce recorded how many chocolate he ate each day at work last week

Answers

Answer:

Not enough information to build an answer off of.

Step-by-step explanation:

Use the inverse of this function to select the correct graph.

Answers

Answer:

D

Step-by-step explanation: (i know this part. its the graph im a tiny bit unsure about)

x __ y

2  __2

3  __ 2.387

7__ 3

Please help fast!!!

Fill in the missing value:

A.) 17
B.) 168
C.) 13
D.) 7

Answers

Answer:

13

Step-by-step explanation:

Use the pythagorean theorem where 12 squared plus 5 squared is the square of the hypotenuse. 12 squared is 144 and 5 squared is 25. 144+25=169. Taking the square root of 169 we get 13. Therefore the missing side is 13 units long.

Hope this helps! (Please mark Brainliest)

Answer: D.) 7

Step-by-step explanation:

1.
Which equation in point-slope form contains the point (-2, -6) and has slope -4?
y - 2 = -4(X-6)
y + 2 = -4(x + 6)
.
y + 6 = -4(x + 2)
y-6 = -4(x - 2)

Answers

Answer:

Step-by-step explanation:

y + 6 = -4(x + 2) is the point-slope form

y + 6 = -4x - 8

y = -4x - 14

Mental Math
Solve
119*121

Answers

Answer:

14399

Step-by-step explanation:

break it down yall

119=100+19

121=100+21

100*100=1000

19*21=4399

add em up

Answer:

14,399

Explanation:

Set it up in a table and multiple.

I hope this helps you!

What is the volume of the following rectangular prism?




Volume=______units^3[

Answers

Answer:

10 unit³

Step-by-step explanation:

Volume of the rectangular cube:

Area × lenght

Given ;

Area = 25/4 unit²

Length = 8/5 unit

Volume = Area × length

= 25/4 × 8/5

= (5 × 2) = 10 unit³

1
If f(x)= x2 and g(x)=
find g(1-1)).
1
2x+3
O A.
-1
OB.
1
1
25
Oc.
1
5
OD. 1

Answers

Answer:

1/5

Step-by-step explanation:

f(-1) = (-1)^2 = 1

g(f(-1) = g(1)

g(1) = 1/(2(1)+3)  = 1/(2+3) = 1/5

Which of the following best describes the equation below? y = 5x - 15
a.neither linear or non linear
b.non linear
c.both linear and non linear
d.linear

Answers

The answer is d because 3x5=15

Answer:

D linear

Step-by-step explanation:

We can tell pretty easily that this is a linear equation. How? Look at the highest degree of x!

This means the highest exponent of x. It looks like we have 5x, which you can think of as 5x to the first power. Whenever the highest exponent is 1, the equation is linear.

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