The quantity r varies jointly with t and u and inversely with s when t= -12, u= -7, and s= -4, r= -126. Find r when t= -8, u= 8, and s= -6.

Write your answer in exact form.

Answers

Answer 1

Answer:

r = 64

Step-by-step explanation:

r = (k*t*u)/s

Where,

k = constant of proportionality

t = -12,

u= -7,

s= -4,

r= -126.

r = (k*t*u)/s

-126 = (k*-12*-7)/-4

-126 * -4 = 84k

504 = 84k

k = 504/84

k = 6

Find r when t= -8, u= 8, and s= -6.

r = (k*t*u)/s

= (6*-8*8) / -6

= -384 / -6

= 64

r = 64


Related Questions

There are 12 basketball players on the team. In order to complete the main composition of the team for the
game, the coach can choose any 5 players from the team. How many different combinations of the main
compositions the coach can complete?

I get 792 but why is the answer 7.92. Kinda don't understand.

Answers

Step-by-step explanation:

We have been given that a basketball team has 12 players and the coach wants to pick which 5 players will start today's game.

We will use combinations formula to solve our given problem. , where,

n = Number of total items,

r = Number of items being chosen at a time.

Upon substituting our given values in combinations formula we will get,

Therefore, the coach can choose from 792 combinations

What is the solution to the equation? 9−3x=12x+10

Answers

Answer:

-1/15

Step-by-step explanation:

Answer:

x=-15

Step-by-step explanation:

9-3x=12x+10

-10

-1-3x=12x

+3x

-1=15x/-1

Which expressions have an estimated value that is close to 9? Check all that apply. ​

Answers

Answer:

can you post a picture of the question?

Answer:

Hello There!

Step-by-step explanation:

Could you please put the answer choices/expressions? You can just write them in the comment section and I can edit this answer to help you out :)

Happy New Year

The number of accidents that occur
each day at a certain intersection along
with the corresponding probabilities are
shown.
Accidents
0
1
2.
3
4
Probability
.935
.03
.02
.01
.005
Find the expected number of accidents
each day.
Enter

Answers

Answer: 0.12

Step-by-step explanation:

The expected number of accidents is a weighted average of the potential number of accidents and their probabilities:

= (0 * 0.935) + (1 * 0.03) + (2 * 0.02) + (3 * 0.01) + (4 * 0.005)

= 0.12

How do i do this pls help me
standard form (ax + by = c) to slope-intercept form (y = mx + b)

5x+7y= -21 (ANSWER?)

Answers

Answer:

y=-5/7x-3

Step-by-step explanation:

so, we need the equation to be in y=mx+b form.

The equation right now is 5x+7y=-21 in standard form.

We need to isolate y onto one side

Here's the equation:

5x+7y=-21

subtract 5x from both sides

7y=-5x-21

divide by 7

y=-5/7x-21/7

simplify

y=-5/7x-3

Hope this helps! :)

N is an integer.

Write the values of n such that -15<3n≤6

Answers

Answer:

n = - 4, - 3, - 2, - 1, 0, 1, 2

Step-by-step explanation:

Given

- 15 < 3n ≤ 6 ( divide the 3 intervals by 3 )

- 5 < n ≤ 2

Thus  n ≠ - 5 but n can equal the upper limit of 2

Hence

n = - 4, - 3, - 2, - 1, 0 , 1, 2

describe a multiplication problem in which the product is between 0.005 and 1

Answers

1 times 0.5
Is this what you mean?
Hopefully it is

Please help me (6+6)/2=

Answers

Answer:

6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

(6 + 6)/2

Step 2: Evaluate

(Parenthesis) Add:                    12/2Divide:                                       6
(6+6)/2= 6 SO THE ANSWER IS 6

82.50 +46.63 i need help

Answers

129.13, I believe.

Hope this helps.
Answer: 129.13

Explanation: stack up the decimals and usually add like you do. So 82.50+46.63= 129.13. Make sure you stack them right. :)

i’m not asking for much :(

Answers

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

mcfluffythebigrubberducky

Can someone plz answer number 10 and 11 don’t worry about number 12

Answers

Answer:

No

Step-by-step explanation:

No. I am not helping because you spam random "answers" to gain points for your account. If you want to be taken seriously, take everyone else seriously.

9514 1404 393

Answer:

  10.  x = 4

  11.  x = -5

Step-by-step explanation:

10. Use the perimeter formula. Collect terms, subtract* the constant, divide by the coefficient of the variable.

  P = 2(L+W)

  42 = 2(5x +(x-3))

  21 = 6x -3 . . . . . . divide by 2, collect terms

  24 = 6x . . . . . . . . add 3

  4 = x . . . . . . . . . .  divide by 6

__

11. Collect terms, subtract the constant, divide by the coefficient of the variable.

  -8x -3(2x +1) = 67

  -8x -6x -3 = 67 . . eliminate parentheses

  -14x -3 = 67 . . . . . collect terms

  -14x = 70 . . . . . . . add 3

  x = -5 . . . . . . . . . . divide by -14

_____

* "Subtract" and "add the opposite" are the same mathematical operation. In both these problems, the constant we want to get rid of is -3, so we add 3 (the opposite of -3). Of course, that operation is done to both sides of the equation.

Evaluate the expressions
4x+(-2), when x=3
Show your work here

Answers

Answer:

10

Step-by-step explanation:

PEMDAS MATH

An insurance company charges Ted E. Bear $1400 per year for insurance on his home. The company has predicted that there is a 10% chance that Ted will make a claim on the policy of $5000. Create a probability distribution and determine what the insurance company can expect to make on this policy, on average?

Answers

Answer:

$900  

Step-by-step explanation:

The given parameters are;

The amount Ted pays per year for insurance on his home = $1,400

The value of the insurance policy = $5000

The chance that Ted will make a claim on the policy = 10%

The expected value is given as follows

Incidence                     Probability(p)        Value(v)                                   v × p

A claim is made            0.1                  $5,000 - $1,400 = -$3,600     -$360

No claim                        0.9                 $1,400                                       $1260

Expected value is $1,260 - $360 = $900

The value the insurance company can be expected to make on average on the policy is $900    

X=number of hours
Y=number of tents made

X=0,1,2,3,4,5,6,7,8
Y=6,7,8,9,10,11,12,13,14

What is the slope? What does it represent?

Answers

Given:

X=number of hours

Y=number of tents made

Table of value.

To find:

The slope and its interpretation.

Solution:

Consider any two points from the table, i.e., (0,6) and (1,7).

The slope is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{7-6}{1-0}[/tex]

[tex]m=\dfrac{1}{1}[/tex]

[tex]m=1[/tex]

Therefore, the slope is 1 and it represent that the number of tents made are increasing by 1 units in each hour.

9/12 +3/12 =?
A. 1
B. 6/12
C. 11/12
D.1/2

Answers

9/12 + 3/12 = 12/12 = 1

Therefore, 1 is your answer.

Answer:

Solving [tex]\frac{9}{12}+\frac{3}{12}[/tex] we get 1.

Option A is correct answer.

Step-by-step explanation:

We need to solve [tex]\frac{9}{12}+\frac{3}{12}[/tex]

For solving fractions we need to take LCM of denominators.

The LCM of 12, 12 is 12

So, solving:

[tex]\frac{9}{12}+\frac{3}{12}\\=\frac{9*1+3*1}{12}\\=\frac{9+3}{12}\\=\frac{12}{12}\\=1[/tex]

So, solving [tex]\frac{9}{12}+\frac{3}{12}[/tex] we get 1.

Option A is correct answer.

The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10? A graph entitle House Sales shows Number of Days on the x-axis, from 0 to 12, and Number of Houses Sold on the y-axis, from 0 to 12. A line connects 5 points. The points are (0, 0), (2, 8), (6, 6), (10, 2), (12, 4). Negative four-thirds Negative three-fourths 6 8

Answers

Answer:

-3/4

Step-by-step explanation:

Answer:

-3/4 on EDG 2020

Step-by-step explanation:

Got it Right :)

Convert:

5 m = ________mm​

Answers

Answer:

5m = 5000 mm

Step-by-step explanation:

Two of the vertices of a rectangle are (6,1) and (7,1). If the rectangle has a perimeter of 18 units, then what are the coordinates of its other two vertices?

Answers

Answer:

(6,9) and (7,9) - assuming the graph only has a single quadrant and the rectangle is vertical

Step-by-step explanation:

We know that the distance between (6,1) and (7,1) is one unit. Because a rectangle has 2 pairs of equal sides, we know that the distance between the 2 missing coordinates is equal to one. We then add these two units. Because the rectangle has a parameter of 18 units, we then have to subtract these 2 units from the total, leaving us with 16 units for both sides. We then divide 16 by 2 because there are 2 sides, leaving us with 8 units for each side. Assuming we are working with a coordinate graph (with only one quadrant instead of 4 on a coordinate plane), and assuming the rectangle is vertical, the missing coordinates should be 8 units above the coordinates you were given. Hope this helps! :)

simplify : 3ac + 5ab – 4ab + ac + 8bc

Answers

Answer:

4ac + ab + acb Dont mind this, i just need to have this 20 or more characters long: dhdudhsjsksksksjdhdhdjudjsjsjsjssjsjdudhd

How might we know whether X is a positive number negative number or 0 without solving the equation 5x=-16.5

Answers

Answer:

Since 16.5 is negative, the only way to get that answer is to multiply 5 by something to negative(x)

Step-by-step explanation:

The sales tax in a certain county is 7%. If an item marked at $19.94 is sold within the county, estimate the final cost of the item once tax is included.

Answers

Given:

Rate of sales tax = 7%

Marked price of an item = $19.94

To find:

The final cost of the item once tax is included.

Solution:

We have,

Rate of sales tax = 7%

Marked price of an item = $19.94

[tex]\text{Sales tax}=\dfrac{7}{100}\times 19.94[/tex]

[tex]\text{Sales tax}=1.3958[/tex]

Now, final cost of the item once tax is included is

[tex]\text{Final cost}=\text{Marked price}+\text{Sales tax}[/tex]

[tex]\text{Final cost}=19.94+1.3958[/tex]

[tex]\text{Final cost}=21.3358[/tex]

Therefore, the final cost of the item once tax is included is $21.3358.

Find the 22nd term of the sequence described by the
explicit formula:
f(n) = 8 + 3(n - 1)

Answers

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ 22nd \ term \ is \ 71. }}}[/tex]

Step-by-step explanation:

Given that the nth term of the Arthemetic Sequence is given by :-

[tex]\implies f(n) = 8 + 3(n-1) [/tex]

And we need to find the 22nd term .

So in place of n substitute 22 .

[tex]\bf\implies f(n) = 8 + 3(n-1) \\\\\bf\implies f_{22} = 8 + 3(22-1) \\\\\bf\implies f_{22} = 8 + 3\times 21 \\\\\bf\implies f_{22} = 8 + 63 \\\\\bf\boxed{\bf\implies f_{22} = 71 }[/tex]

Hence the 22nd term is 71 .

Help pls I really need it

Answers

Answer:

Infinite number of solutions

Step-by-step explanation:

when you solve for V, you notice that the term in "v" goes away, and you end up with a true statement:

2 = 2

This is a true statement no matter what values the variable V has, so it is true for all possible (infinite) values of "v".

I want 196 and 300
The rest I did .
Can anyone plz help.
Thanks in advance

Answers

Answer:

4{(9-2)^2}

[tex] {(9 - 4)}^{2} \times (4) \times (9 - 4 - 2)[/tex]

At time t ≥ 0, the velocity of a body moving along the s-axis is v = t² -5t +4. When is the body moving backwards

Check comments for multiple choice answers

Answers

Answer:

A

Step-by-step explanation:

The velocity of a moving body is given by the equation:

[tex]v=t^2-5t+4 ,\, t\geq0[/tex]

Is the velocity is positive (v>0), then our object will be moving forwards.

And if the velocity is negative (v<0), then our object will be moving backwards.

We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:

[tex]v<0[/tex]

By substitution:

[tex]t^2-5t+4<0[/tex]

Solve. To do so, we can first solve for t and then test values. By factoring:

[tex](t-4)(t-1)=0[/tex]

Zero Product Property:

[tex]t=1, \text{ and } t=4[/tex]

Now, by testing values for t<1, 1<t<4, and t>4, we see that:

[tex]v(0)=4>0,\, v(2)=-2<0,\,\text{ and } v(5)=4>0[/tex]

So, the (only) interval for which v is <0 is the second interval: 1<t<4.

Hence, our answer is A.

The equation y = 10x describes the amount of money Serena earns, where x is the number of hours she works and y is the amount of money she earns.
The table shows the amount of money Christine earns for different numbers of hours
worked.

Christine's Earnings
Time (h):
3 5 8 10
Money earned:
60 100 160 200

(a) How much money does Christine earn per hour? Show your work.

(b) Who earns more per hour? Justify your answer.

(c) Draw a graph that represents Christine's earnings over time in hours. Remember
to label the axes.

I WILL GIVE BRAINLIEST IF THEY ARE CORRECT AND ALL ANSWERS WERE ANSWERED!!!

Answers

Answer : Answer:

a) $10 per hour

b) Sandra

Step-by-step explanation: he equation y 10x describes the amount of money Sandra earns, where x is the number of hours she  works and y is the amount of money she earns

The table shows the amount of money Susan cams for different numbers of hours worked

Susan's Earnings

Time (h)           Money Earned

5                              40

8                              64                

10                             80

(a) How much money does Sandra eam per hour? Show your work

(b) Who earns more per hour? Justify your answer

Answer:

a)

y = 10x is sandra's equation. To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).

y = 10x

y = 10(1)

y = 10

$10 is Sandra's hourly rate.

b)

To find who earns more per hour, we need to find the hourly rate of Susan as well from the table. Then compare.

5 hours = $40 so per hour is 40/5 = 8

8 hours is 64, so per hour 64/8 = 8

10 hours is 80, so 80/10 = 8

The table is justified at $8 per hour.

We know Sandra earns $10/hr and Susan earns $8 per hour. So Sandra earns more per hour.

6. 1350 = 5 = find the quotient ​

Answers

Answer:

this question is of high school or collage


Please help me I really need help

Answers

Answer:

5

7

9

11

13

Step-by-step explanation:

u just have to plot the x values into the x variable if that makes sense

here is an exampla

Ratio of 200m and 1km.​

Answers

Answer:

the ratio of this one is 0.2\1

Answer:

To calculate the ratio, we should have both quantities in same units, so we can convert the kilometer into meters, knowing that 1 kilometerr are 1000m.

1 * 1000 = 1000m

We know we need to calculate the ratio 200:1000.

We can know divide both quantities by 200 and get...

200/200:1000/200 = 1:5

And now,, we know this ratio is 1:5..

What is the magnitude of -5.8

Answers

please friend complete your answer

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