answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitry_Shevchenko [17]
2 years ago
12

Y is inversely proportional to x. Complete the table. х 15 6 у 5 10

Mathematics
1 answer:
AlexFokin [52]2 years ago
5 0

Answer:

When x = 15, y= 2

When y= 10, x= 3

Step-by-step explanation:

This is a question in inverse proportion. In this proportion, an increase in one quantity would lead to a decrease in the other and vice versa.

We are to complete the table using the relationship between x and y.

Given:

y is inversely proportional to x = y ∝ 1/x

∝ = proportional to

y ∝ 1/x

y = k × 1/x

Where k = constant of proportionality

To understand the relationship between y and x, we need to find the value of k.

y = k × 1/x

From the table,

When x = 6, y = 5

5 = k × 1/6

5 = k/6

k = 6×5 = 30

y = 30 × 1/x

y = 30/x

The above relationship would enable us find the missing parts.

When x = 15, y= ?

y = 30/15

y = 2

When y= 10, x= ?

10 = 30/x

10x = 30

x = 30/10

x= 3

You might be interested in
Ephemeral services corporation (esco) knows that nine other companies besides esco are bidding for a $900,000 government contrac
EastWind [94]

Answer:

c. $100,000

Step-by-step explanation:

Calculation of the expected net profit of Ephemeral services corporation

Since we are been told that 9 other companies besides esco are as well bidding for the $900,000 government contract, it means we have to find the expected net profit by dividing 1 by 9×$900,000 .Thus ESCO can only expect to cover its sunk cost.

Hence ,

E(X) = (1/9) × $900,000

E(X)=0.111111111×$900,000

E(X)= $100,000

Therefore the expected net profit would be $100,000

4 0
1 year ago
A tank contains 8000 L of pure water. Brine that contains 35 g of salt per liter of water is pumped into the tank at a rate of 2
OleMash [197]

Answer:

The concentration of salt in the tank approaches 35 \mathrm{g} / \mathrm{L},

Step-by-step explanation:

Data provide in the question:

Water contained in the tank = 8000 L

Salt per litre contained in Brine = 35 g/L

Rate of pumping water into the tank = 25 L/min

Concentration of salt \lim _{t \rightarrow \infty} C(t)=\lim _{t \rightarrow \infty} \frac{35 t}{320+t}

Now,

Dividing both numerator and denominator by t, we have

\lim _{t \rightarrow \infty} \frac{\frac{1}{t} 35 t}{\frac{1}{t}(320+t)}=\lim _{t \rightarrow \infty} \frac{35}{\frac{320}{t}+1}=35

Here,

The concentration of salt in the tank approaches 35 \mathrm{g} / \mathrm{L},

3 0
2 years ago
Divide 32x4 − 12x2 + 7x by 2x.
Katen [24]
(32x⁴ - 12x² + 7x) / 2x

32x⁴/2x - 12x²/2x + 7x/2x

16x³ - 6x + 7/2
4 0
2 years ago
What values of b satisfy 4(3b + 2)2 = 64?
Vikentia [17]
Given the equation 4(3b + 2)² = 64, dividing both sides of the equation by 4, we have (3b + 2)² = 16 and getting the square root of both sides, (3b + 2) = 4 and (3b + 2) = -4 We can solve for b for each equation and have 3b = 2 | 3b = -6 b = 2/3 | b = -2 Therefore, the values of b are 2/3 and -2 and from the choices, the answer is <span>A: b = 2/3 and b = -2.</span>
8 0
1 year ago
Mr. Ortez told each student in his class to pick a folded piece of graph paper from a bowl. He instructed them to study the grap
Natalka [10]

Answer:

a graph that connects 3 points connected by a straight line that passes through (5, 0)

Step-by-step explanation:

A graph is the representation of numerical data by one or more lines that give visibility to the relationship between the data. Understanding graphics today is an essential task, as they are very present in our daily lives, whether in newspapers, magazines, the internet, etc.

If a teacher asks each student to take a piece of graph paper containing a graph, study the graph and tell which graph represents graphs of equivalent proportions. The student who has a graph that connects 3 points connected by a straight line passing through (5, 0) is the student who should speak.

8 0
2 years ago
Other questions:
  • Xavier has $23.50 in his savings account. He deposits $35 every week. His mother also deposits $20 into the account every time X
    12·1 answer
  • Find, correct to the nearest degree, the three angles of the triangle with the vertices d(0,1,1), e( 2, 4,3) − , and f(1, 2, 1)
    10·1 answer
  • Julio is in Colorado exploring part of the Denver Zoo as shown he starts at the felines exhibit and travels 3 unit to the right
    9·1 answer
  • ANSWER THESE AND I WILL MARK BRAINLIEST
    8·1 answer
  • Tim ran a quarter mile five times yesterday the table above shows the time of each run in minutes and seconds. For example the t
    13·2 answers
  • Lincoln and Hunter work at a dry cleaners ironing shirts. Lincoln can iron 30 shirts per hour, and Hunter can iron 20 shirts per
    13·1 answer
  • Factor completely 16x8 − 1.
    13·2 answers
  • Dana surveyed students in her class. She found that 8 earned an A, 6 earned a B, 4 earned a
    5·1 answer
  • HELP ME PLEASE 10 POINTS ON IT PLEASE HELP ME ​
    8·2 answers
  • 10 more than a number c is 3
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!