If y varies directly as z and inversely as x and y = –18 and z = 3 when x = 6, find y when x = 5 and z = –5.
36

18

9

64

Answers

Answer 1

Answer:

y = 36

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y = [tex]\frac{kz}{x}[/tex] ← k is the constant of variation

To find k use the condition y = - 18, z = 3 when x = 6 , then

- 18 = [tex]\frac{3k}{6}[/tex] ( multiply both sides by 6 )

- 108 = 3k ( divide both sides by 3 )

- 36 = k

y = [tex]\frac{-36z}{x}[/tex] ← equation of variation

When x = 5 and z = - 5, then

y = [tex]\frac{-36(-5)}{5}[/tex] = [tex]\frac{180}{5}[/tex] = 36


Related Questions

If 4c + 10= 20 -16c, what is 8c?

Answers

If that = that . That mean 8c is 3c

Kathy dropped a snowball from a building that is 39.2 meters tall. The equation t2 = 39.29.8 represents the amount of time, in seconds, it takes for the snowball to reach the ground. How long did it take the snowball to reach the ground?

Answers

Answer:

We note that the equation that is compatible with the given equation is the kinematic equation of free fall where;

t² = 39.2 × 2/9.81

From which we have;

The time it takes the snowball to reach the ground is approximately 2.83 seconds

Step-by-step explanation:

The height of the building from which the ball is dropped, h = 39.2 m

The equation of the dropped a snowball, is given as follows;

t² = 39.2 × 9.8

Using the From the equation of free fall, we have;

s = u·t + 1/2·g·t²

Where;

u = The initial velocity = 0 m/s

t = The time of flight

g = The acceleration due to gravity = 9.81 m/s²

Therefore, we get;

∴ s = The height from which the snowball is dropped = 39.2 m

Therefore, we get;

39.2 = 0×t + 1/2×9.81×t²

∴ t² = 39.2 × 2/9.81  ≈ 7.99

t = √(7.99) ≈ 2.83

The time it takes the snowball to reach the ground, t ≈ 2.83 s.

Answer:

2 seconds

Explanation:

I had to do this assignment that's the correct answer

Danielle earns a 7.5% commission on everything she sells at the electronics store where she works. How much commission did she earn last week if she sold $3,500 in electronics merchandise?

Answers

Answer:

$262.5

Step-by-step explanation:

Given data

Commission earned= 7.5%

Sales for last week=  $3,500

Let us find the amount of the commission

=7.5/100* 3500

=0.075*3500

=$262.5

Hence the commission earned last week is

$262.5

Given the points A(4,6) and B(8, −2), what is the length of segment AB in units?
F √5
G 2√5
H 4√5
J 4

Answers

Answer:

Hi! The answer to your question is H. [tex]4\sqrt{5}[/tex]

Step-by-step explanation:

[tex]Y1 = 6[/tex]

[tex]Y2 = -2[/tex]

[tex]X1 = 4[/tex]

[tex]X2 = 8[/tex]

[tex]AB = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

[tex]AB = \sqrt{(8-4)^2+(-2-6)^2}[/tex]

[tex]AB =\sqrt{(4)^2+(-8)^2}[/tex]

[tex]AB = \sqrt{16+64}[/tex]

[tex]AB = 4\sqrt{5}[/tex]

☆*: .。.。.:*☆☆.*: .。..。.:*☆☆*: .。.。.:*☆☆.*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Help ASAP please! Thank you so much
What is the slope of the graphed line?

Answers

Answer:

the numbers aren't clear can you enlarge the screenshot?

Step-by-step explanation:

Answer:

Slope = [tex]- \frac{3}{4}[/tex]

Step-by-step explanation:

1. Choose 2 points from the graph

(0,-1) and (4,-4)

2.) Use this formula: [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

3.) (-4) - (-1) = -3

(4) - (0) = 4

-3/4

HELPPPPPPPPPPP
1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.
299, 281, 285, 269, 280, 269, 286, 287

Part A: What is the mean absolute deviation of Norm Duke’s scores?

A.
7.50

B.
7.00

C.
7.25

D.
6.75

Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?

A.
Norm Duke has been more consistent because his mean absolute deviation is greater than Ryan Shafer’s.

B.
Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.

C.
Ryan Shafer has been more consistent because his mean absolute deviation is greater than Norm Duke’s.

D.
Norm Duke has been more consistent because his mean absolute deviation is less than Ryan Shafer’s.

Answers

Answer:

Part A

C. 7.25

Part B

B. Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.

Step-by-step explanation:

Given data:

299, 281, 285, 269, 280, 269, 286, 287Part A

Find the mean of the data above:

(299 + 281 + 285 + 269 + 280 + 269 + 286 + 287)/8 = 282

Find absolute deviations, an absolute value of the difference of data and the mean:

299 - 282 = 17 ⇒ 17 281 - 282 = -1 ⇒ 1285 - 282 = 3 ⇒ 3269 - 282 = -13 ⇒ 13280 - 282 = 2 ⇒ 2269 - 282 = -13 ⇒ 13286 - 282 = 4 ⇒ 4287 - 282 = 5  ⇒ 5

Find mean absolute deviation:

(17 + 1 + 3 + 13 + 2 + 13 + 4 + 5)/8 = 7.25

Correct choice is C

Part B

Less mean absolute deviation is the sign of more consistent data.

Since Ryan Shafer has smaller mean absolute deviation, he has been more consistent 7 < 7.25

Correct choice is B.

i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:7

Step-by-step explanation:

Answer:

I shall help

Step-by-step explanation:

11. The answer is 96 because 12 times 8 is 96

12. The answer is B.

13. The answer is also B because you need to count. BIG BRAIN

14 The answer is 8.

Next time please think a little harder

BRain;liest pls

459,450,441, find the 37th term

Answers

Answer:

135

Step-by-step explanation:

So, our first term is 459.

Lets find what our change in terms is. To do this, lets subtract the frist term by the second:

459-450

This will get you 9.

Now that we know our change per term, lets find our 37th term.

All we need to do, is take our first term, and subtract it by our change in terms times the amount of terms.(Note that we already know are 1st term, so we are multiplying the change in terms by 36, not 37. )

So this is what we can use to solve for this:

459-(9x37)

This equals

135.

Hope this helps!

Step-by-step explanation:

first term = a = 459

common difference = d = 450 - 459 = -9

nth term = an

n = -9

an = a + (n-1)d

= 459 +(37-1)-9

= 459 + (36)-9

= 459 -324

= 135

37 th term = 135

plz mark my answer as brainlist if you find it useful for you. hope this will be helpful to you .

Please help me out.❤️

Answers

Answer:

7

Step-by-step explanation:

Write the numbers lowest to greatest

16  18 20 21 25 42

range is  25- 18 = 7

Select the expression that is equivalent to 48 ÷ 12
A. 6 (8 + 6)
B. 12 (4+1)
C. 4 (44 +3)
D. 8 (6+4)

Answers

Given:

Consider the expression is:

[tex]48+12[/tex]

To find:

The expression that is equivalent to the given expression.

Solution:

We have,

[tex]48\div 12[/tex]

It can be written as:

[tex]48\div 12=12\times 4+12\times 1[/tex]

Taking out the GCF, we get

[tex]48\div 12=12(4+1)[/tex]

Therefore, the correct option is B.

Answer:

b. 12 (4+1)

Step-by-step explanation:

hope this helps you {ribbit}

~tsu-chan :p

Castel and Chelsea are selling pies for a school fundraiser. Customers can buy cherry pies and lemon meringue pies. Castel sold 1 cherry pie and 5 lemon meringue pies for a total of $69. Chelsea sold 5 cherry pies and 7 lemon meringue pies for a total of $129. Find the cost each of one cherry pie and one lemon meringue pie.

Answers

Answer:

the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively

Step-by-step explanation:

The computation of the cost of one cherry pie and the lemon meringue pie is shown below:

Let us assume the cherry pie be x

And, the lemon meringue pie be y

So according to the question

x + 5y = $69

5x + 7y = $129

Now multiply by 5 in the equation 1

5x + 25y = $345

5x + 7y = $129

18y = $216

y = $12

And, x would be

x + 5($12) = $69

x = $9

Hence, the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively

Duran is making party favors by placing a circular disk in the bottom of a plastic bag. Each disk has diameter of 6 centimeters. What is the area of the disk to nearest hundredth. ** Use 3.14

A. 18.84

B. 28.26

C. 91.06

D. 113.04

Answers

Answer:

B. 28.26

Step-by-step explanation:

please help i’ll give brainliest

Answers

Answer:

Step-by-step explanation:

In ecosystems, matter and energy are transferred from one form to another. Matter refers to all of the living and nonliving things in that environment. Nutrients and living matter are passed from producers to consumers, then broken down by decomposers. Decomposers break down dead plant and animal matter.

solve this question step by step on paper
8.1÷4​

Answers

Answer:

2.025

Step-by-step explanation:

https://www.symbolab.com/solver/step-by-step/8.1%5Cdiv4%E2%80%8B

Solve for y: 5(y + 2/5) = -13

Answers

The answer is y= -3

Hope this help

Answer:

y = -3

Step-by-step explanation:

Let's solve your equation step-by-step.

5 (y+2/5) = −13

Step 1: Simplify both sides of the equation.

5(y+2/5)= −13

(5)(y) + (5)(2/5) = −13(Distribute)

5y + 2 = −13

Step 2: Subtract 2 from both sides.

5y + 2 − 2 = −13 −2

5y = −15

Step 3: Divide both sides by 5.

5y/5 = −15/5

y = −3

Answer:

y = −3

hope this helps and is right :)

Marco mixed 2 teaspoons of sugar and 1 teaspoon of milk into his coffee. What is the ratio of teaspoons of sugar
to teaspoons of milk?

Answers

Answer:

2 : 1

Step-by-step explanation:

teaspoons of sugar : teaspoons of milk

= 2 : 1

hope this helps :)

I WILL GIVE BRAINLIEST.

(-a)n is negative

If a is a real number and n is a positive integer, which of the following represents all values of a and n such that the above
statement is true?

A. {a | a is positive) and {n | n is even}
B. {a | a is negative } and for {n| n is odd}
C. {a | a is negative} and {n | n is even}
D. {a | a is positive} and {n | n is odd}



Answers

Answer:

(-a)n is negative  number, and since you did not provide a clear first option, I will assume the answer is none of the above. However, the accurate answer is C

Step-by-step explanation:

write the equation, please.

Answers

Answer:

x^2+y^2 = 49

Step-by-step explanation:

This is a circle.

The generic equation of a circle is

(x-h)^2+ (y-k)^2 = r^2

where (h,k) is the center and r is the radius

The center of the circle is at the origin which is (0,0)

The radius is 7

(x-0)^2+(y-0)^2 = 7^2

x^2+y^2 = 49

Answer:

[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]

Step-by-step explanation:

we are given a circle

we want to figure out the equation of the circle

remember that,

[tex] \rm \displaystyle E _{c} : (x - {h)}^{2} + (y - k {)}^{2} = {r}^{2} [/tex]

(h,k) are the centre of the circle

we can clearly see that the centre of the circle is (0,0) and the redious is 7 units

thus substitute:

[tex] \displaystyle (x - {0)}^{2} + (y - 0{)}^{2} = {7}^{2} [/tex]

further simplification is needed:

[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]

and we are done!

A ladder of length 6m leans against a vertical wall so that the base
of the ladder is 2m from the wall. Calculate the angle between the
ladder and the wall.

Answers

Answer: sin x = 2/6

x = 0.33

x = 19.5 degrees

Step-by-step explanation:


A butcher shop is selling steaks 2 for $7.00. The butcher sells 29 steaks today. How much money did the butcher make selling steaks today?

Answers

Answer:

The butcher made $101.50

Step-by-step explanation:

2 for 7.00

1 steak would be 7.00 divided by 2

7 divided by 2 is 3.5

1 steak is 3.50 dollars

29 steaks in total

29 multiplied by 3.50 is 101.5

A.45
B.30
C.90
D.180
E.40
F.55
G.130
H.50

Answers

I think it’s 40(sorry if I’m wrong)

Guided Practice


Write an equation of the direct variation that includes the point (–8, 10).


A.
y= −4/5x


B.
y= 5/4x


C.
y= −5/4x

Answers

Answer:

C.

y= −5/4x

Step-by-step explanation:

Write an equation of the direct variation that includes the given point. (-8, 10)

1

first divide y by x to find the constant

2

Then write the equation using that constant. The constant can be written as a fraction or a decimal.

RESULT

PLEASE HELP I don't understand this stuff yet. Brainliest give away!

Answers

Answer: I think the answer is B

Step-by-step explanation: My reasoning is that since some houses are expensive, and some houses are very cheap, the average house is in the middle, and that is the median.

Answer:

c bc he should use the median cause it is in the affect the mean

Step-by-step explanation:

% of $10 = $3


help pls ​

Answers

Answer:

30%

Step-by-step explanation:

3/10=30/100 and 30/100 is the same as 30%

because %'s mean out of 100 so 30% means 30 out of 100 which can be simplified to 3 out of 10 or 3/10 (so its all equal)

Answer:

3%

Step-by-step explanation:

State if the triangles in each pair are similar. If so, state how you know they are similar
A. Similar by the sss rule
B.not similar
C. Similar by the aa rule

Answers

Answer:

c) similar by the AA rule

The volume of the geometric figure below is _______ cubic ft

Answers

Answer: Your answer in 840 cubic feets

Step-by-step explanation:

u solve the face on the bottom... base (10) times height (12) divide by two is 60. Then i multiply by the actual height which is 14 ft. 60 times 14 is 840.

If this helps plz mark me brainlest

Good luck :D

Carlos cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?

Answers

Answer:

Each piece of cloth is (1/12) of a yard long.

Step-by-step explanation:

Carlus cut 5/12 of a yard of cloth into 5 pieces of equal length.

To find the length of each piece of cloth, we need to find the quotient between the length of the piece of cloth, and the number of pieces in which we divide it.

This is:

length = [tex]\frac{(5/12)yd}{5} = \frac{5yd}{12*5} = \frac{1yd}{12} \frac{5}{5} = \frac{1 }{12} yd[/tex]

This means that the length of each piece of cloth is (1/12) of a yard long.

Answer:

1/12 trust,

because yes. >3

2022 / 2023

A company that cleans carpets charges its customers a fixed amount for supplies plus an
additional amount per hour of cleaning. The graph models the linear relationship between the
total amount charged and the number of hours of cleaning.

Answers

Answer:

Don’t quote me but, $15 per hour.

Explanation:

I just took the slope of the line,

(60 - 120) / (0 - 4)
-60 / -4
15

PLZZ HELP ME!!!

ANY LINKS WILL BE REPORTED

Find the volume of this object.

Answers

Answer:

24 will be your answer.

Step-by-step explanation:

Delta Math Help!!!
Triangle proofs help. I’ve gotten this far, but I have no idea what to do next!!

Answers

i can’t see it take another picture

The triangle ΔBAD is congruent to the triangle ΔCDA by SSS postulates.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

If the corresponding sides of the triangles are equal. Then the triangles will be a congruent triangles. And it is known as SSS postulates.

BD = AC and AB = CD

In triangles ΔBAD and ΔCDA, we have

BD = AC             (Given)

AB = CD             (Given)

AD = AD             (Common side)

Then the triangle ΔBAD is compatible with the triangle ΔCDA by SSS proposes.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

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