Suppose that y varies directly with x and inversely with z. If y = 63 when x =
27 and z = 3, find the constant of proportionality.

Answers

Answer 1

Answer:

constant of proportionality = 7

Step-by-step explanation:

Let k = constant of proportionality

If y varies directly with x and inversely with z, then [tex]\frac{yz}{x} = k[/tex]

Substitute the values given into the equation and you get [tex]\frac{(63)(3)}{27} = 7 = k[/tex]


Related Questions

Find the solution of the equation. 2(2x + 3) = -4 + 2(2x + 5)

Answers

Answer:

x = 2/3

Step-by-step explanation:

4x + 6 = 10x + 10

4x = 10x - 4

6x - 4

x = 2/3

Have a great day <3

2(2x + 3) = -4 + 2(2x + 5)
Divide both sides by 2
2x + 3 = -2 + (2x + 5)
Add 2 to both sides
2x + 3 + 2 = 2x + 5
2x + 5 = 2x + 5
Subtract 5 from both sides
2x = 2x
Divide both sides by 2
x = x

This means x can equal anything I believe.

Jeffrey walked 1/3 mile on Monday and jogged 4/5 mile on Tuesday. How far did he walk and jog on Monday and Tuesday combined?

Answers

18/15 because the like denominator is 15 and 1/3 is 5/15 and 4/5 is 12/15. Them added together is 18/15

Answer:

Jeffery walked 1.13 miles in total.

Step-by-step explanation:

1/3 and 4/5. To solve this problem, we need to find a common denomonator.

3 and 5

LCM = 15

1/3* 5/5

5/15

4/5 * 3/3

12/15

5/15 + 12/15 = 17/15

= 1.13

You purchased a car for $56,843. After
one year, the car is worth $51,474. How
much is the car worth in 4 years?

Answers

Answer:

$35,367

Step-by-step explanation:

what is the answer i need help what is A

Answers

Step-by-step explanation:

V=a×b×c

136/2=68in³

68in³=a×3in×3in

a=68/9

a=7.5in =x

Please help me find the value of x

Answers

Answer:

x = 36 degrees

Step-by-step explanation:

We can use exterior angles theorem to find that 140 degrees is equal to x plus 104 degrees. We subtract 104 degrees on both sides and get that x is 36 degrees.

1. What is 30 percent of 120?

A.30
B.20
C.40
D.36​

Answers

Answer:

D 36

Step-by-step explanation:

Answer:

D.36

Step-by-step explanation:

30            ?

---      x    ---

100         120

Multiply 30 times 120. You get 3600. Divide that by 100, and you get 36.

Which fraction has a repeating decimal as its decimal expansion?
3/25
3/16
3/11
3/8

Answers

It should be 3/11 because we know that 11 is a number where if almost any number divide 11 is a repeating.

Round the 136.501 to the whole number.​

Answers

Answer:

137

Step-by-step explanation:

137 because when it's .5 or higher you round up

algebra work needed please help

Answers

the 3rd answer is correct

what is (-2)( 3 4/7)

Answers

Answer:

-7 1/7

Step-by-step explanation:

Hope that helps!

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 1,176 square feet. The width of the basement is 2 3 its length. What is the length of Louis's basement?

Answers

Answer: 42 feet

Step-by-step explanation:

Let the length be x

Therefore, width = 2/3x

Area = Length × Width

Therefore, x × 2/3x = 1176

2/3x² = 1176

Divide both side by 2/3

x² = 1176 ÷ 2/3

x² = 1176 × 3/2

x² = 1764

x = ✓1764

x = 42

The length is 42 feet

why is 60% greater than 3.75

Answers

c.cause birds DO NOT. I reapet DO NOT fly

what is the factored form of 4(3x + 12) + 4? ​

Answers

Answer:

12x + 52

Step-by-step explanation:

Distribute.

(4 • 3x + 4 • 12) + 4

12x + 48 + 4

12x + 52

iv) The number 211539 is divisible by​

Answers

Answer:

The answer would be the number 3

Answer:Answer:32+1+1+5+3+9=217×3=217×3=213×7=21

How do I expand this

Answers

Step-by-step explanation:

We have

[tex](sc^2x-1)^2[/tex]

Which is the same as

[tex](sc^2x-1)(sc^2x-1)[/tex]

To expand this polynomial, we can use the FOIL method. Meaning that we multiply the Fronts, Outsides, Insides, and Lasts together and then add each of these products.

The two fronts are [tex]sc^2x[/tex] and [tex]sc^2x[/tex],

[tex](sc^2x )(sc^2x )=s^2c^4x^2[/tex]

The two Outsides are [tex]sc^2x[/tex] and [tex]-1[/tex],

[tex](sc^2x )(-1)=-sc^2x[/tex]

The two Insides are [tex]-1[/tex] and [tex]sc^2x[/tex],

[tex](-1)(sc^2x )=-sc^2x[/tex]

The two lasts are [tex]-1[/tex] and [tex]-1[/tex],

[tex](-1)(-1)=1[/tex]

Now we just need to add these together to get

[tex]s^2c^4x^2-sc^2x-sc^2x+1\\\\s^2c^4x^2-2sc^2x+1[/tex]

Answer:

[tex]cot^{4} x[/tex]

Step-by-step explanation:

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, how many minutes would it take the slower pipe to fill the tank by itself? Your answer

Answers

Answer: 144 minutes

Step-by-step explanation:

Based on the information that has been given in the question, the minutes that the slower pipe alone can use in filling the tank can be denoted by y minutes.

Therefore, the faster pipe will fill it in 1/3 × x = x/3 minutes.

Therefore,

1/x + 3/x = 1/36

4/x = 1/36

x = 36 × 4

x = 144

The number of minutes taken by the slower pipe will be 144 minutes.

25 points. Find the following length. Pls help

Answers

Answer:

gc=5x,CF=8x

Step-by-step explanation:

because I had this question too

which of the following could not be the lengths of the sides of a triangle ​

Answers

Answer:

option A is correct answer .

Step-by-step explanation:

a triangle cannot be formed with the sides 8,5 and 15.

5+8 = 13 is not greater than 15.

plz mark my answer as brainlist if you find it useful.☺️

I really need help really fast!!!

Answers

Answer:

-3 sqrt 2 or -4.242640687

Step-by-step explanation:

Which of the following sets of sides does not form a right triangle?
6.8.10
8.15, 17
7.24.26
5, 12, 13?

Answers

Answer:

7, 24, 26

Step-by-step explanation:

6 squared is 36 and 8 squared is 64. Add them together and you get 100, which is 10 squared. Do the same for the other ones and you'll notice that 7 squared and 24 squared added together is 625, which is not 26 squared. In my head 25 squared is 625(check if you don't believe me) so I know that the answer is the third one. The basic formula for a right triangle is a^2 + b^2 = c^2, and that's how you find if three numbers form a right triangle or not. Hope this helps :)


For the inverse variation equation p=8/v what is the value of V when p = 4?
O 1/8
o 1/2
O 2
O 32

Answers

Answer:

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form

y*x=k or y= k/x

in this problem we have that

the value of the constant K is equal to 8

so

pv=8

Solve for V

v=8/p

Find the value of V for p=4

substitute the value of P in the formula

v=8/4=2

therefore

the answer is

the value of V is equal to 2

please help for points

Answers

Answer:

117 degrees

Step-by-step explanation:

These two angles are the same

Hello please help me answer :)

( WILL GIVE BRAINLST)

Answers

Answer:

Answer is given

:) mark me brainliest

Bethany uses the equation d = 4.25h to find the distance, d, she travels while walking for h number of hours. What is the constant of proportionality between d and h?

Answers

Answer:

4.25

Step-by-step explanation:

The distance Bethany travels is directly proportional to the number of hours she spends working

The formula for direct proportion is :

y = kx

Where k is a constant

in this question, the constant is given by 4.25

An eagle is flying at an altitude of 280 feet. The angle of depression from the eagle to a mouse on the ground is 15º. What is the direct line distance from the eagle to the mouse? Round answer to the nearest thousandth

Answers

Answer:

Step-by-step explanation:

X = distance between eagle and mouse.

sin(15°) = 280/x

X = 280/sin(15°) = 1,081.837 ft

A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box? Enter your answer below.

Answers

Answer:

1242

Step-by-step explanation:

HELP ME PLEASE! i'll give u brainliest

Answers

Answer:

D. Hope that helps!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It is D because all fractions are rational numbers, and numbers with decimals can also be fractions, so its like multiplying a fraction with a fraction, It would still be a rational number.

Find the point-slope equation for the line that passes through the points (-6, 24) and (5, -31). Use the first point in your equation. y - [?] = [ ](x-[ ])​

Answers

It should be y1 - y2/x1 - x2 this is supposed to be a fraction


I end up getting -31 - 24/5 + 6 or -31 -24/5 - (-6)

4 = y - 4
3 = 9 - y
1 = 8 - y
2 = 9 - y
4 = y - 3

Answers

Answer: a a a a. Aa

E s. Ss s

Step-by-step explanation:

s. S s s s. S s s s s

Please help! Complete answers please.

Answers

Answer:

m3 = 103 degrees

m4 = 77 degrees

Step-by-step explanation:

comment if you want me to explain please :)

The interior angles of ∆AUL (or any triangle for that matter) sum to 180°, so

∠3 + 20° + 57° = 180°

===>   ∠3 = 103°

Angles ∠3 and ∠4 occur on the same ray LP, so they are supplementary to one another. In other words,

∠3 + ∠4 = 180°

so that

∠4 = 180° - 103° = 77°

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