If y varies directly with x which equation describes x = 72 and y = 36?

Answers

Answer 1

Answer:

k = 1/2

Step-by-step explanation:

direct variation equation is y = kx where 'k' is the constant of variation

substitute 36 for 'y' and 72 for 'x' to get:

36 = 72k

solve for 'k' to get:

k = 36/72 or k = 1/2


Related Questions

A constant head permeability test is performed on a soil that is 2 cm x 2 cm square and 2.5 cm long. The head difference applied during the test is 18 cm, and 5 cm3is collected over a time of 100 sec. a) Compute the permeability based on these test conditions and results b) A falling head test is to be done on the same soil specimen in teh same time (t1 - t2

Answers

Answer:A

Step-by-step explanation:por que se calcula correctamente

find the length of x rounded to nearest hundredth please!!

Answers

Answer:

4.00 pls give brainliest

Step-by-step explanation:

Hello turkshcutie11!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Find the value of x.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

It's given that the triangle in the figure is a right triangle (a triangle with one angle as 90°). So, we can use the pythagoras property to solve this question.

__________________

Given sides :-

5 units (base)3 units (altitude)x units (hypotenuse)

__________________

Using pythagoras property...

Hypotenuse ² = Base² + Altitude ²

x² = 5² + 3²

x² = 25 + 9

x² = 34

x = √34

x = 5.83 units (1st option).

__________________

Hope it'll help you!

ℓu¢αzz ッ

What is the value of x?​

Answers

4

ISNDNDMSLWLWKXDJSNKWKEDLC

Answer the question below, and then fill in the blanks if necessary.
Can the distributive property be used to rewrite
3 + (8 + 4) ?

Answers

Answer:

acoording to the picture given, it is possible be cause there is a multiplication operation before the parenthesis.

Step-by-step explanation:

distribut the 3 to each number in the parenthesis:

(3 * 8) + (3 * 4) = 24 + 12 = 36

Subtract.

3−(−5)−(−2)

Plot the solution on the number line.

Answers

Answer:

10

Step-by-step explanation:

Answer: Its 10, so plot it on 10 in the number line

Step-by-step explanation: Since the subtraction signs cancel out, they make a addition sign. Henceforth its " 3+5+2" which would mean the sum is 10.

Write an explanation to a friend about how you
would estimate 17 1/5 / 3 4/5.

Answers

Answer:

67/5

Step-by-step explanation:

17 1/5

17x5= 85 + 1= 86/5

3 4/5

3x5=15+4= 19/5

86/5 - 19/5=

86-19= 67/5

hope this helps!

All items or people of interest in an experiment is called

Answers

Answer: a population

Step-by-step explanation:

Step-by-step explanation:

I think your answer is Population

what is 100 divided by 5, (the answer) x 3 (the answer) x 79 (the answer) - 4

NO LINKS PLEASE! First to answer correct gets Branliest!!!

Answers

Answer:

4736

Step-by-step explanation:

1) 100 divided by 5 is 20

2) 20 times 3 is 60

3) 60 times 79 is 4740

4) 4740 subtract from 4 is 4736

5) Answer is 4736

Answer:

4736

Step-by-step explanation:

5*20 = 100

20*3 = 60

60*79 = 4740

4740 - 4 = 4736

Question
Jackson's backpack weighed 15 kg. Convert the weight to pounds. Round to the nearest pound.

Answers

Answer:

[tex]15 \times 2.205 = 33.0693 \: lb[/tex]

Unit conversion is a way of converting some common units into another without changing their real value. The Weight of Jackson's backpack is 33.075 pounds.

What is unit conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Since 1 kg is equal to 2.205 pounds. Therefore, the Weight of Jackson's backpack is,

15 kg = 2.205 × 15 kg = 33.075 pounds

Hence, the Weight of Jackson's backpack is 33.075 pounds.

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Which table represents exponential growth?

Answers

Answer:

B.

Step-by-step explanation:

Exponential graphs means that it starts to go up slowly but then goes up faster. A is going down, so that's wrong since the graph needs to go up. The correct answer is B.

LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (−60,0) and (60,0), where unit distance on the coordinate plane is measured in miles A receiver is located somewhere in the first quadrant. The receiver computes that the difference in the distances from the receiver to these transmitters is 100 miles.

What is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the hyperbola?

Answers

LORAN follows an hyperbolic path.

The equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

The coordinates are given as:

[tex]\mathbf{(x,y) = (-60,0)\ (60,0)}[/tex]

The center of the hyperbola  is  

[tex]\mathbf{(h,k) = (0,0)}[/tex]

The distance from the center to the focal points is given as:

[tex]\mathbf{c = 60}[/tex]

Square both sides

[tex]\mathbf{c^2 = 3600}[/tex]

The distance from the receiver to the transmitters  is given as:

[tex]\mathbf{2a = 100}[/tex]

Divide both sides by 2

[tex]\mathbf{a = 50}[/tex]

Square both sides

[tex]\mathbf{a^2 = 2500}[/tex]

We have:

[tex]\mathbf{b^2 = c^2 - a^2}[/tex]

This gives

[tex]\mathbf{b^2 = 3600 - 2500}[/tex]

[tex]\mathbf{b^2 = 1100}[/tex]  

The equation of an hyperbola is:

[tex]\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}[/tex]

So, we have:

[tex]\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}[/tex]

[tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

Hence, the equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

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NO LINKS OR ASSESSMENT!!!!

Answers

Answer:

See below and attached

Step-by-step explanation:

1. There are infinite number of lines going from only one point (2, 5)

No definite solution for line A.

2. This is a proportional relationship, since line passes through the origin. The slope is -3.

The line B is:

y = -3x

3. Points (-3, -2) and (3, 10)

The slope:

m = (10 + 2)/(3 + 3) = 2

The y - intercept:

10 = 2*3 + b ⇒ b = 4

The line C is:

y = 2x + 4

4. The rate of change is m = 2.5

The y- intercept:

1 = 2*2.5 + b ⇒ - 4

The line D is:

y = 2.5x - 4

5. Line E has a slope of 4, no sufficient info to conclude.

y = 4x + b, with any value of b

6. Line F has m = -3/4 and passes through (8, -1).

The y -intercept is:

-1 = 8(-3/4) + b ⇒ b = 5

The line F is:

y = -3/4x + 5

7. G is not a linear relationship as the function increases exponentially with common ratio of 3.

1/2(x+24)=21 (distributive property) thanks

Answers

Answer:

x=18

Step-by-step explanation:

since x+24 is in parenthesis, we need to distribute 1/2 to all the parts inside the parenthesis.

1/2 * x = 1/2x

1/2 * 24= 12

1/2x+12=21

subtract 12 from both sides

1/2x= 9

divide 1/2 from both sides

x=18

so your answer would be x=18

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{1}{2}(x+24)=21 \rightarrow \frac{1}{2}x + 12 = 21\\\\x = 18[/tex]

»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\frac{1}{2}(x+24) = 21\\\rule{150}{0.5}\\\\\rightarrow \frac{1}{2}*x = \frac{1}{2} \\\\\rightarrow \frac{1}{2} * 24 = 12\\\\\rightarrow \frac{1}{2}x + 12 = 21\\\\\rightarrow \frac{1}{2}x + 12 - 12 = 21 - 12\\\\\rightarrow \frac{1}{2}x = 9\\\\\rightarrow (\frac{1}{2}x)2 = 9 * 2\\\\\rightarrow\boxed{x = 18}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

find the product what is 9.874×7= ? ​

Answers

the answer is 69.118 !

A caterer charges 5500 plus 530 per guest to cater a wedding. Walt and Traci don't want to spend more than $8000 on catering Write
and solve an inequality in terms of the number ofguests, 9 that can be invited.

Answers

Answer:

x = 250

Step-by-step explanation:

What is the y-intercept of the line y =
= {x-5
-5?

Answers

It is B. -5 should be the answer mark brainliest pls.

[tex]\large y=\dfrac{1}{2} x-{\boldsymbol5}^{\sf /y -intersept} \\\\ \rm Answer : B)-5[/tex]

Write a quadratic function whose zeros are -12 and -2.

Answers

Answer:

(x+12) (x+2)

x(x+12)+2(x+12)

x^2+12x+2x+24

x^2+14x+24

Step-by-step explanation:

Answer:

f(x) = x² + 14x + 24

Step-by-step explanation:

Given the zeros of -12 and -2, then it means that:

x + 12 = 0 and x + 2 = 0

As a proof, if you isolate x, you'll end up with the given values:

x + 12 - 12 = 0 - 12

x = -12

x + 2 - 2 = 0 - 2

x = -2

In terms of using these values into the quadratic function:

(x + 12) (x + 2)

Perform the FOIL method in order to find the quadratic function:

(x + 12) (x + 2)  

f(x) = x² + 2x + 12x + 24

f(x) = x² + 14x + 24   ⇒ This is the quadratic function, given the zeros as x = -12, and x = -2.

Can someone help me and explain this to me step by step?

Answers

Answer: 11/9

Step-by-step explanation:

First, convert two to 18/9. This is still equal to two but this makes it easier to answer the problem, because both of the terms have the same denominator. Now, since both of them have the same denominator, all you need to do is subtract the numerators, and put that over the denominator of 9. 18-7=11. So the answer is 11/9. This is an improper fraction, though you could also make it into a mixed number: 1 and 2/9.

Answer:

11/9

Step-by-step explanation:

Add a one under the 2. So that it becomes 2/1. Now you have the expression, 2/1 - 7/9. To subtract fractions, you need the denominators of the two fractions to be the same. We can put 9 as the common denominator. All you have to do in order for 2/1 to have 9 as its denominator, is to multiply 9 for both the numerator and denominator; 2/1 x 9/9 = 18/9. After that, your new expression would be 18/9 7/9. Just subtract across, 18 - 7 = 11, keep the denominator 9. The answer should be 11/9

does anyone know this math problem??

Answers

Answer:

y = -7

Step-by-step explanation:

SHOW YOUR WORK. Algebra question. 100 POINTS. Easy

Answers

Answer:

x = 3/2

Step-by-step explanation:

Add up the given equations t eliminate y and solve for x:

3x  + 2y + 3x - 2y = 4 + 56x = 9x = 9/6x = 3/2

Your choice is correct

Complete the equation _,287x6=25,_ 2_

Answers

Answer:

4,287 x 6 = 25,722

.......

Hey may someone please help me<4! I’ll greatly appreciate it

Answers

Answer:

1st figure out how many feet in 1 yard

Then you can take that number <x>

X x 5

Step-by-step explanation:

Answer:

1.67 yards or 5/3

Step-by-step explanation:

I just looked it up

the greatest common factor of 12 and 26 pls explain the steps

Answers

Step-by-step explanation:

12- 2*6

26- 2*13

gcf =2

the least greatest common factor is 2

9 is the cube root of (a) 343 (b) 729 (c) 629 (d) 81 ​

Answers

Answer:

(b) 729

Step-by-step explanation:

9 × 9 × 9 = 9^3 = 729

Thus, 9 is the cube root of 729

A cube root is ‘to the power of 3’. Therefore in order to solve the question, you need to calculate 9 x 9 x 9. This is equal to ‘b) 729’.

1.Which of the following is equivalent to 0.00648
2. What is the decimal equivalent of 8.3 x 10*6

3. What is the decimal equivalent of 9.7 x 10*5

4. Write 0.501 in scientific notation

5. Which of the following is equivalent to 4.99 x 10*-4

Answers

Answer:

D) 6.48 x 10⁻³

Step-by-step explanation:

to get an exponent of -3 means you move the decimal point three spaces to the right

2) 8,300,000

3) 970,000

4) 5.01 x 10⁻²  (picture)         5.01 x 10⁻¹ (question)

5) 0.000499

per
A man deposited $80,000.00 in
bank at a 12% compound interest
annum. How much did the man have
in the bank at the second year?
e

Answers

Using the compound interest formula, the amount of money in the man's bank account in the second year is $100352

The compound interest relationship is computed using the relation :

Final amount = P(1 + r)^t

P = principal ; r = interest rate ; t = period

Plugging the values into the formula :

Final amount = 80000(1 + 12%)²

Final amount = 80000(1 + 0.12)²

Final amount = 80000(1.12)²

Final amount = $100352

Therefore, the final amount in the second year is $100352

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A living room is a compound shape made of two rectangles like the one
below. How many square feet of carpet would you need to cover the entire room?

Answers

Answer:

Step-by-step explanation:

702

What are the odds of winning a game, if the probability of losing the game is 5 /13 ?

Answers

Answer:

Step-by-step explanation:

If divided: 0.38461538461

If percent: 38.4615%.

Brainliest rn:D

The odds of winning the game is [tex]\frac{8}{13}[/tex].

What is probability?

Probability is the measure of happening and non-happening of the outcomes of a random experiment.

What is the sum of probabilities?

The sum of all the probabilities of all the elementary events of an experiment is always 1.

According to the given question.

We have

The probability of losing the game is [tex]\frac{5}{13}[/tex]

Since, we know that the sum of all the probabilities of all elementary events of an experiment is always 1.

Therefore,

Probability of winning the game + Probability of losing the game = 1

Probability of winning the game + [tex]\frac{5}{13} =1[/tex]

Probability of winning the game = [tex]1 - \frac{5}{13}[/tex]

Probability of winning the game = [tex]\frac{13-5}{13}[/tex]

Probability of winning the game = [tex]\frac{8}{13}[/tex]

Hence, the odds of winning the game is [tex]\frac{8}{13}[/tex].

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The super discount store s having a sale and all the clearance items are 40% off. which of the following are correct ways to find the price of an item that is normally $25.00?

A. Multiply $25.00 by 40 B. Multiply $25.00 by 0.4

C. Multiply $25.00 by 0.4 and subtract that amount from $25.00
D. Multiply $25.00 by 0.6

Answers

Answer:

Answer is C.

Step-by-step explanation:

Jenny's test grades are 88, 95, 97, and 100.
What is her average?

Answers

Answer:

95

Step-by-step explanation:

For average you just add all the numbers together and divide by how many numbers there are.

88+95+97+100=380

380÷4=95

The average of the given data is 95.

What is an average?

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Given that Jenny's test grades are 88, 95, 97, and 100. The average of the numbers will be calculated by adding all the numbers and dividing it by the total count of the numbers.

For average you just add all the numbers together and divide by how many numbers there are.

Average = ( 88+95+97+100 ) / 4

Average = 380 / 4

Average = 95

Therefore, the average of the given data is 95.

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