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

Melanie invested $3800 in an account paying in interest rate of 2 3/8% compounded quarterly Sebastian invested $3800 in an account paying in interest rate of 2 3/4% compounded monthly after 16 years how much more money with Sebastian have in his account then Melanie to the nearest dollar

Answers

Answer:

$317

Step-by-step explanation:

Formula for compound interest is;

A = P(1 + (r/n))^(nt)

For melanie;

P = $3800

r = 2⅜% = 0.02375

n = 12/4 = 3

t = 16 years

Thus;

A = 3800(1 + (0.02375/3))^(3 × 16))

A ≈ $5548

For Sébastien;

P = $3800

r = 2¾% = 0.0275

n = 12

t = 16

Thus;

A = 3800(1 + (0.0275/12))^(12 × 16))

A ≈ 5865

Difference between Sébastien and Melanie's final amount = $5865 - $5548 = $317

Helppp don’t comment random stuff :( thanks

Answers

Answer:

The slope is y=0.59x so 0.59

The y intercept is 0

Answer:

careful of taking pictures of problems. I got warnings and questions deleted when I had the picture of my question since it was violating the code of brainly since it was a different cite. -_-

Step-by-step explanation:

To prepare for a bake-off, Amy used 0.64 kilograms of flour each day for 3 weeks. How many grams did Amy use in those 3 weeks?
1 kg = 1,000 g

Answers

Answer: 13440 grams

Step-by-step explanation:

Since 1 kg is 1000 g, multiply 0.64 by 1000 to find how many grams are in a kilogram.

0.64x1000

=640 grams

She uses 640 grams each day.

How many grams does he use in 3 weeks?

1 week has 7 days

3 weeks has 21 days

3x7=21

640x21

13440 grams

What is the zero of 2x+ 3y=12

Answers

Y= -2/3x+4
I just use the y=mx+b

What is an expression equivalent to 4(2x+7)

Answers

Answer:

1.) 8x+28      2.) 2(4x+14)

Step-by-step explanation:

simplify it by multiplying the 4

or

after simplifying you could divide by 2

option 1 is the best answer

Help me quick please I can’t see link so real people answer this

Answers

Answer:

Answer is in a photo. I couln't attach here, but l uploaded it to a file hosting.

link below! Good Luck!

bit. ly/3a8Nt8n

Step-by-step explanation:

I need help to solve

Answers

Answer:

a = 30°

b = 11°

Step-by-step explanation:

JK = 360 - 110 - 130 - 54 = 66°

Inscribed angles = 1/2 their arc

∠K = 1/2(130 + 54) = 92°

∠J = 1/2(110 + 130) = 120°

∠M = 1/2(66 + 110) = 88°

8b = 88°

b = 11°

∠L = 1/2(54 + 66) = 60°

2a = 60°

a = 30°

En una reunión hay doble número de mujeres que de hombres y triple número de niños que de hombres y mujeres juntos.¿Cuántos hombres, mujeres y niños hay si la reunión la componen96 personas?

Answers

Answer:

This is a english server-

Step-by-step explanation:

In which step did Montiah make an error?
3(x+8)2 + 8 = 83
3(x+8)2 = 75
Step 1
(x + 8)2 = 225
Step 2
X + 8 = +15
Step 3
X = 7 or x = -23 Step 4

Answers

Answer:

Step-by-step explanation:

I think you mean 3(x+8)², not 3(x+8)2. If you cannot type ², use ^ to mark the exponent: 3(x+8)^2.

3(x+8)² + 8 = 83

3(x+8)² = 75

(x+8)² = 25

x+8 = ±√25

x+8 = ±5

x = -8 ± 5 = -3, -13

Answer:

Step 2

Step-by-step explanation:

NEED HELP ASAP IM BAD WITH MATH AND I NEED THE ANSWER TO THIS QUESTION SOMEBODY PLS HELP ME AND DONT GIVE ME A LINK CAUSE THOSE ARE FAKE!!!

Answers

Answer:

B. (1,2)

Step-by-step explanation:

Answer:

heyhey! your in luck, Im here again <3

Step-by-step explanation:

The coordinates are ( 1,2 ) . In answer, its B. Why? Well the distance in between was 5, and the middle landed right after the line, which landed of the coordinates ( 1,2 ) . Your welcomee!

Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 190(0.93)

Answers

The answer is exponential decay and the percent decrease is 93% if the number in parentheses is below 1 or has a decimal with a 0 in the ones place it’s decay then you multiply the number by 100 and get the percent hope this helps

Please help with math








Will mark brainlist

Answers

80pi is the answer I think
80 pi !!!! correct !!!!!!!!!!!

Which congruency theorem can be used to prove
that AABDADCA?
B
O SSS
OASA
OSAS
0 AAS

Answers

Answer:

SAS

Step-by-step explanation:

Given: Two triangles ΔABD and ΔDCA,  

We have, AD=AD (normal)  

∠A=∠A (Given)  

BA=CD (Sides inverse to rise to points are consistently equivalent)  

With the SAS rule of congruency,  

ΔABD≅ΔDCA

Brainliest?

A bag contains 5 blue marbles, 8 green marbles, 4 red marbles, and 3 yellow marbles.
Event A = drawing a green marble on the first draw
Event B = drawing a blue marble on the second draw
If Jasmine draws two marbles from the bag, one after the other and doesn’t replace them, what is P(B|A) expressed in simplest form?

A.2/19
B.1/6
C.4/19
D.5/19

Answers

Answer:

2/19

Step-by-step explanation:

rodger sells 23 necklace at the fair r for a total of $ 201.25. each necklace is sold for the same price what is the price of one necklace

Answers

The necklaces will be sold for $8.75.

All you have to do is devide 201.25 by 23 and you will get your answer.

PLEASE SOLVE THIS ASAP ​

Answers

Answer:

Step-by-step explanation:

Which are irrational numbers

Answers

Answer:

2.57 and 11/3 and 3.14

Step-by-step explanation:

What is the value of s? Uhm uh why is this so difficult.

Answers

Answer:

s = 47

Step-by-step explanation:

The measure of the exterior angle of a triangle is equal to the sum of the opposite interior angles

s+45 = s+6  + s-8

Combine like terms

s+45 = 2s-2

Subtract s from each side

s+45-s =2s-2-s

45 =s-2

Add 2 to each side

45+2 = s-2+2

47 =s

The cost of 6 CDs are $12, $13, $20, $20, $12.50 and $18.50. What is the
mean

Answers

Answer:

$16

Step-by-step explanation:

Find the mean by adding all of the costs, and dividing it by 6, since there are 6 CDs

(12 + 13 + 20 + 20 + 12.5 + 18.5) / 6

96 / 6

= 16

So, the mean is $16

help please serious answers only or get reported !

Answers

Answer:

5 / 8 = 0.625 is best equivalent.

Waiting to see if I got this answer right is making me stressed

Answers

Answer:

yeah you just have to hope you got it correct until they tell you or give you brainliest

Find the probability

P (Red and number less than 6)

Answers

Answer:

Red- 1/4 or 25% chance

Number less than six- 5/8 or 62.5% chance

What is the value of x? Enter your answer in the box.

Answers

Answer:

Lilly, since the angles are the same we can set the equal to each other, that's the "trick" of this problem

Step-by-step explanation:

3x + 50 = 6x - 10

3x + 60 = 6x

60 = 3x

20 = x

see how I got that?

thomas is wrapping a video game for his friends birthday. if the video game is 8 feet long , 6 feet wide and only 1/2 feet tall how much is the gift would be needed to cover the surfaces of the gift

Answers

Answer: 110ft2

Step-by-step explanation:

3/4x8/9 as simpiest form

Answers

Answer:

2/3

Step-by-step explanation:

3/4 x 8/9 = 24/36 or 2/3 simplified

Anita has a success rate of 80% on free throws in basketball. She wants to know the estimated probability that she can make exactly four of five free throws in her next game. How can she simulate this scenario?

Categorize each simulation of this scenario as correct or incorrect.

Roll a six-sided die five times. The
numbers 1 to 4 represent a make,
and numbers 5 and 6 represent a
miss.
Spin a spinner with three equal
sections five times. On the spinner,
one section represents a miss and
two sections represent a make.
Generate a set of five numbers using
a number generator with the numbers
0 to 9.The numbers 0 to 7 represent a
make, and 8 and 9 represent a miss.
Generate a set of five numbers using
a number generator with the numbers
0 to 5.The numbers 0 to 3 represent a
make, and 4 and 5 represent a miss.
Spin a spinner with five equal sections
five times. On the spinner, four sections
represent a make and one section
represents a miss.

Answers

Answer:

If a basketball player consistently shoots 80% from the free throw line and she takes 25 free throw shots throughout the course of a game, how many free throws can she be expected to make?

A basketball player makes 75% of the free throws that he attempts. What is the probability, approximated, that he succeeds in half of them in 40 trie

Answer:

Its a trick question

Step-by-step explanation:

How much sales tax would you pay for a $55 pair of roller blades if the tax rate is 6.625%?

Answers

Answer:

419 or 419.37

Step-by-step explanation:

55 x 6.625 = 364.375

364.375 = 364.37 (Rounded to the Nearest 10)

55 + 364.37 = 419.37

--------------------------⭐OR⭐------------------------------

55 x 6.625 = 364.375

364.375 = 364 (Rounded)

55 + 364 = 419

please help me i dont understand it and i dont know the answers

Answers

Answer:

Step-by-step explanation:

a) y=[tex]x^{2} -4x[/tex]

x=-1 ⇒ y=[tex](-1)^{2} +4=1+4=5[/tex]

x=1    ⇒  y=[tex]1^{2} -4=1-4=-3[/tex]

x=2 ⇒   y=[tex]2^{2} +8=4-8=-4[/tex]

x=4   ⇒  y=[tex]4^{2} -16=16-16=0[/tex]

b) [tex]x^{2} -4x[/tex]=[tex]x^{2} -4x+4-4=(x-2)^{2}-4[/tex]

so the blue one

Divide 1000 into two parts such that one part is a multiple of 47 and the other is a multiple of 19. Don't give useless answers or copy paste any links, I am not in the mood today or else I will report you​

Answers

Answer:

The required division is 658 and 342.

Step-by-step explanation:

Let the parts be x and y.

47x + 19y = 1000

let try 2digit number for x and y by inspection 14 and 19 best fit.

47*14 + 18*19 = 1000

658 + 342 = 1000

Find the measure of the arc or central angle indicated by the question mark. Assume that lines which appear to be diameters are actually diameters. PLEASE HELP AND SHOW WORK

Answers

Answer:

The measure of the arc length is 62 degrees

Step-by-step explanation:

Here, we want to find the given arc measure

Mathematically, we are going to use the angle arc relationship

For the angle arc relationship, the measure of the central angle is simply the measure of the arc

In this case, the central angle is 62: this means that the given arc measure is 62 degrees too

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