When p= 12, t= 2, and s= 5, r= 18. If rvaries directly with p and inversely with the product of sand t, what is the
constant of variation?

Answers

Answer 1

Answer:

15

Brainliest, please!

Step-by-step explanation:

r = kp/(st)

p = 12, t = 2, s = 5, r = 18

18 = k(12)/(2)(5)

18 = 12k/10

12k = 180

k = 15


Related Questions

Evaluate \dfrac {9}m+4 m 9 ​ +4start fraction, 9, divided by, m, end fraction, plus, 4 when m=3m=3m, equals, 3.

Answers

Fractions can be evaluated, same way non fractions are evaluated

The result of the fraction expression [tex]\mathbf{\dfrac {9}m+4}[/tex] is 7

The given parameters are:

[tex]\mathbf{\dfrac {9}m+4}[/tex]

[tex]\mathbf{m = 3}[/tex]

So, we have:

[tex]\mathbf{\dfrac {9}m+4}[/tex]

Substitute 3 for m

[tex]\mathbf{\dfrac {9}m+4 = \dfrac {9}3+4}[/tex]

Evaluate the division

[tex]\mathbf{\dfrac {9}m+4 = 3+4}[/tex]

Add 3 and 4

[tex]\mathbf{\dfrac {9}m+4 = 7}[/tex]

Hence, when m equals 3, the result of the fraction expression [tex]\mathbf{\dfrac {9}m+4}[/tex] is 7

Read more about fractions at:

https://brainly.com/question/6201432

3.9015 to the nearest thousandth

Answers

Answer:

3.902.

Step-by-step explanation:

3. 9015:

The 10 thousandth digit is 5 so you round up the 1 to 2.

Find the distance between the points (-4,-1) and (4,1). Round to 2 decimals places

Answers

Answer:

length between is 8.54 units

Step-by-step explanation:

Formular:

[tex] { \bf{ = \sqrt{ {(x_{1} - x_{2}) }^{2} + {(y_{1} - y_{2}) }^{2} } }}[/tex]

x1 is -4

x2 is 4

y1 is 4

y2 is 1

[tex] = \sqrt{ {( - 4 - 4)}^{2} + {(4 - 1)}^{2} } \\ = \sqrt{64 + 9} \\ = \sqrt{73} \\ = 8.54 \: units[/tex]

Answer:

Distance = 8.25 units

Step-by-step explanation:

use the formula :

√ (x2 _ x1) + (y2 - y1)

where ,

x2 = 4

x1 = -4

y2 = 1

y1 = -1

Use the graph of f to find F(2).

A. 0.5
B. Does not exist
C. -8
D. -0.5

Answers

Hey there! Before we start with the problem, you mean f(2) instead of F(2) if I'm correct. In maths, variables are case-sentitive so F and f both are different.

First, f(2) means the value of y at x = 2.

f(2) is when we substitute x = 2 in and receive the output (y-value).

In coordinate plane, we have (x,y) as a point. What we have to do is to look at the graph, you will see the point that contains (2,-8)

That's it! Refer above, f(2) is when we substitute x = 2 and get y-value.

Hence, f(2) = -8

Let me know if you have any questions!

Topic: Function

Find the 68th multiple of 89, if the 69th multiple is 6141.

Answers

Answer:

6141 - 89 = The 68th multiple (6052)

cos30° cos45°-sin30° sin 45°​

Answers

Answer:

(√6 - √2)/4

Step-by-step explanation:

cos30°cos45° - sin30°sin45°

= cos (30 + 45)°

= cos 75°

= (6 - 2)/4

triangle ABC is congruent to triangle DBC

Answers

Yes

Yes it is

Triangle ABC is congruent to triangle DBC

Answer:

hi i am new in this app can u help

Step-by-step explanation:

hi miss can you help

WILL MARK BRAINLIEST
Given the linear function f(x)= - 5/8x + 16, does the point (1,2) lie on the line?

Answers

No, it doesn’t lie on the line.

For a point to lie on the line, you have to be able to plug the x coordinate into the x and the y coordinate into f(x) and the math has to be true. In this case, plug in the x and y and you get 2=-5/8(1) + 16
Simplify the math and the two sides are not equal, therefore that point does not lie on the line. Points that lie on the line are solutions that make the equation true.

Ichiro's batting average in baseball is 0.342. This is
0.08 higher than Giancarlo's batting average. What is
Giancarlo's batting average?

Answers

the answer should be 0.422

NOTE : answer only the 2nd question ​

Answers

Answer:

60 degrees.

Step-by-step explanation:

BC is parallel to the x axis (because B and C have the same y-coordinate).

Slope of AB is 3/√3 = √3

so the angle AB makes with the axis = angle it makes with BC

= arctan(√3)

= 60 degrees.

What is 10 x 0.018? HELP I WILL PLEASE

Answers

Answer:

0.18

Step-by-step explanation:

10 x 0.018

(On multiplying 10 decimal point will shift one side right)

= 0.18 (Ans)

Answer:

your answer is 0.18

I hope it's helps you

help plz i will rate

Answers

Answer:

Step-by-step explanation:

94 degrees.

Answer:

m1 = 94°

m2 = 26°

m3 = 60°

m4 = 26°

m5 = 60°

m6 = 120°

m7 = 60°

m8 = 60°

m9 = 94°

m10 = 94°

A roll of ribbon is 32 cm long. How many pieces 11 cm long can be cut from the roll?​

Answers

11 + 11 = 22 (+ 10 makes 32) so 2

Find mZWVT.
T
U
7x +11)
V
(14x+7)
(3x + 4)º
W
A. 40
OB. 53
OC.50
OD. 45

Answers

Answer:

[tex]\huge\boxed{\sf <WVT = 40\°}[/tex]

Step-by-step explanation:

According to one of the tangent-secant theorems,

∠WVT = [tex]\frac{1}{2} (arc\ TW-arc\ UW)[/tex]

Given that:

∠WVT = (3x + 4)°

arc TW = (14x + 7)°

arc UW = (7x + 11)°

Solution:

3x + 4 = 1/2 (14x + 7 - (7x + 11))

3x + 4 = 1/2 (14x + 7 - 7x - 11)

3x + 4 = 1/2 ( 7x - 4 )

Multiply both sides by 2

2 ( 3x + 4 ) = 7x - 4

6x + 8 = 7x - 4

Combining like terms

7x - 6x = 8 + 4

x = 12

Finding ∠WVT:

∠WVT = (3x + 4)°

∠WVT = (3(12)+4)°

∠WVT = (36+4)°

∠WVT = 40°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

Find the mean, median, and mode of 14, 15, 3, 15, 14, 14, 18, 15, 8, 16.

Answers

Answer:

mean: 13.2 (average)

median: 14.5 (Center)

mode: 14 and 15 (because data is bimodal so there are two modes

Step-by-step explanation:

Answer:

mean = 13.2, median = 15.5, mode = 18

Step-by-step explanation:

mean = 14+15+3+15+14+14+18+15+8+16/10

= 132/10 = 13.2

median =[ (n/2)th term + (n/2+1)term ]/2

here n is even so this formula is applied and before this is done, the numbers given are to be arranged in ascending or descending order

= [10/2 + (10/2+1)]/2

= [5th term + 6th term]/2

= (15+16)/2

= 31/2 = 15.5

mode = 18

The sum of elght and a number is one hundred. What is the number?

Answers

Answer:

92

Step-by-step explanation:

[tex]8+x=100\\\\x=92[/tex]

Answer: B. 92

Step-by-step explanation: The sum of eight and a number is one hundred. The number is: 92 8 + N = 100 N = 100 - 8 N = 92

A. 3
B. 0.667
C. 0.333
D. 6

Answers

Answer:

C. 0.333

Step-by-step explanation:

It is a ratio. For every 1 added to the x-value, 3 is added to the y-value. So therefore, the constant is 0.333

Answer:

A. 3

Hope this helps :)

If m<3 = 54°, find each measure.

Answers

m<1 = 36° (str. <s)

m<2 = 90°

m<4 = 36° (str. <s)

m<5 = 90° (vert. opp. <s)

m<6 = 54° (vert. opp. <s)

m<7 = 126° (str. <s)

m<8 = 54° (< sum of triangle)

m<9 = 126° (vert. opp. <s)

m<10 = 54° (vert. opp. <s)

m<11 = 36° (alt. <s)

m<12 = 144° (str. <s)

m<13 = 36° (vert. opp. <s)

m<14 = 144° (vert. opp. <s)

Is the fraction 1/3 equivalent to a terminating decimal or a decimal that dose not terminate

Answers

Answer:

1/3 = .3333333 forever

Step-by-step explanation:

It's a decimal that doesn't terminate.

The value of 5x2 - 11x + 18 is
when x = 2.4 and
whenx = -3.

Answers

f(x)=5x^2-11x+18

[tex]\\ \sf\longmapsto f(2.4)[/tex]

[tex]\\ \sf\longmapsto 5(2.4)^2-11(2.4)+18[/tex]

[tex]\\ \sf\longmapsto 5(5.76)-26.4+18[/tex]

[tex]\\ \sf\longmapsto 28.8-26.4+18[/tex]

[tex]\\ \sf\longmapsto 2.4+18[/tex]

[tex]\\ \sf\longmapsto 20.4[/tex]

And

[tex]\\ \sf\longmapsto f(-3)[/tex]

[tex]\\ \sf\longmapsto 5(-3)^2-11(-3)+18[/tex]

[tex]\\ \sf\longmapsto 5(9)+33+18[/tex]

[tex]\\ \sf\longmapsto 45+51[/tex]

[tex]\\ \sf\longmapsto 96[/tex]

The value of 5x² - 11x + 18 is when x = 2.4 and when x = -3 will be 20.4 and 96.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The quadratic expression is given below.

⇒ 5x² - 11x + 18

The value of the expression at x = 2.4, then the value of the expression will be

⇒ 5(2.4)² - 11(2.4) + 18

⇒ 28.8 - 26.4 + 18

⇒ 20.4

The value of the expression at x = -3, then the value of the expression will be

⇒ 5(-3)² - 11(-3) + 18

⇒ 45 + 33 + 18

⇒ 96

The value of 5x² - 11x + 18 is when x = 2.4 and when x = -3 will be 20.4 and 96.

More about the value of expression link is given below.

https://brainly.com/question/23671908

#SPJ2

Easy slope equation just don’t remember

Answers

(0,3)
-2,4)
4-3/ -2-0
1/-2
-2 is your slope
Hope this helps *smiles*

Which number line represents the solution set for the inequality 2x - 62 6(x-2) + 8?​

Answers

Answer:

-15 -0.5 0 0.5 1 1.5 -1.5 -1 -0.5 0 0.5 1.5 -1.5 -1 -0.5 0 0.5 1.5 -1.5 -1.5 0 0.5 1 1.5

Step-by-step explanation:

Distribute 9x(9x+3) help please

Answers

Hey there!

The answer is:

[tex]9x(9x + 3) \\ \\ 81 {x}^{2} + 27x[/tex]

Hope it help you

What time is shown on the clock?


Answers

Answer:

its 12.03

have a great dayy

Answer:

12:40

hope this will help you have a great day

Use the substitution method
y=6x+2 and y=3x+11

Solve for x and y
please put in ordered pair

Answers

Answer:

222222

Step-by-step explanation:

please help with this one

Answers

A. is the correct answer

Answer:

A

Step-by-step explanation:

(x-3)(2x+1)= (due to FOIL(First Outer Inner Last)) (First)2x^2-(Outer+Inner)5x-(Last)3. 2x^2-5x-3 is what A says, so A is the answer.

Simplify.

What is the answer?

Answers

Answer:

81[tex]y^{8}[/tex][tex]z^{4}[/tex]

Step-by-step explanation:

I need help with quotients please can somebody help

Answers

-72/8 is -9

72/-8 is also -9

-5/-1 is 5

9/-9 is -1

If you’re good with multiplication and just not division yet, it may help to look at the second number in the equation and go through the multiples of that number until you hit the first number of the equation and that should be the answer.

The area of a rectangular swimming pool is 240 sq. ft. If the length of the swimming pool is 10 ft. and the width is x-2 ft., what is the value of x?

Answers

Answer:

x= 26

Step-by-step explanation:

area of rectangle = L×b

240 = 10(x-2)

240 = 10x - 20

240+20 =10x

260 =10x

260/10 = x

26 = x

:,x =26

The required value of x is 26

please mark me as branliest

Harry and Olivia are planning to buy a bedroom furniture set that costs $4,100 plus 6% taxes. They would like to apply for a 0% APR store credit card on purchases for 10 months. How much money do they need to pay in equal installments monthly for the next 10 months such that they will be able to pay off the bedroom furniture set before the 0% APR offer expires?

Answers

Answer:

434.60

Step-by-step explanation:

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