If z varies directly with the square of x and inversely with the cube of y, when x = 8, y = 2, and z = 12, what is x when y = 1 and z = 24?
PLEASE HELP!!! :))))

Answers

Answer 1

Step-by-step explanation:

it just means

z = k×x²/y³

12 = k×8²/2³ = k×64/8 = k×8

k = 12/8 = 3/2

24 = k×x²/1³ = 3/2 × x²/1 = 3/2 × x²

24/(3/2) = x²

48/3 = x²

16 = x²

x = 4 or

x = -4


Related Questions

Solve each of the following equations. Show its solution set on a number line. Check your answers. 3(x-2)=12
PLS HELP WILL GIVE BRAINLIEST

Answers

x = 6

Step-by-step explanation:

[tex]\sf3(x - 2) = 12 \\ \sf3x - 6 = 12 \\\sf3x = 12 + 6 \\ \sf3x = 18 \\ \sf \: x = \frac{18}{3} \\ \sf \: x = 6[/tex]

Answer: (negative solution): x=-2, (positive solution): x=6

A clock was reading the time accurately on Friday at noon. On Monday at 6pm the clock was running late by 468 seconds. On average, how many seconds did the clock skip every 30 minutes?

3
4
5
6

Answers

The clock skipped 3 seconds every 30 mins (on average)

The number of times that the clock was skipping every 30 minutes from Friday noon to Monday 6 pm is; 3 seconds

What is the clock skip reading?

We know that from time conversion;

1 day = 24 hours

1 hour = 60 minutes = 2 × (30 minutes)

1 day = 24 hours × 2 × (30 minutes)

1 day = 48 × (30 minutes)

Thus, there are 48 times of 30-minutes in a day. However on Friday, we start counting at noon, which is half of the day.

Thus, on Monday, the mark is only up to 6 pm, which is three-fourths of the day. Thus;

Friday = 48 × (3/4)  = 24

Saturday = 48

Sunday = 48

Monday = 48 × (3/4)  = 36

Total times = 24 + 48 + 48 + 36 = 156

Thus, it means that there was 156 times of  30-minutes that have passed during the time period.

x = 468 seconds ÷ 156

x = 3 seconds  

Therefore, the clock was skipping 3 seconds every 30 minutes from Friday noon to Monday 6 pm.

Read more about Least common multiple at; https://brainly.com/question/10749076

You need 3 sticks of butter for every 24 giant cookies you bake.

Answers

Answer:

Sticks of butter : 2

Number of cookies : 40

Step-by-step explanation:

Given that :You need 3 sticks of butter for every 24 giant cookies you bake.

----------------------------------------------------------------------------------------------------------

Sticks of butter                    Number of cookies

 3                                           24

 x                                             16

5                                                 y

----------------------------------------------------------------------------------------------------------

Let the unknown be x and y..

Since you need 3 sticks of butter for every 24 giant cookies you back

Then 24/3 = 8

Since the number of cookies is 16 then 16/8 = 2

Thus x = 2

Next for y.

Since you need 3 sticks of butter for every 24 giant cookies you back

Then 5 * 8 = 40

Thus, y = 40

----------------------------------------------------------------------------------------------------------

Completed table below:

Sticks of butter                    Number of cookies

 3                                           24

 2                                             16

5                                                 40

----------------------------------------------------------------------------------------------------------

~lenvy~

Answer:

See below ↓

Step-by-step explanation:

Given

You need 3 sticks of butter for every 24 cookies

Base rate

no. of butter sticks / no. of cookies3 / 241 stick of butter for every 8 cookies

16 cookies

No. of sticks = 16/8No. of butter sticks = 2

5 butter sticks

No. of cookies = 8 x 5No. of cookies = 40

What is the answer for this question?

Answers

Answer:

is this from flvs?

Step-by-step explanation:

Ayuda porfavor!! E estado intentando y no lo puedo resolver
CURSO: MATEMÁTICAS FINANCIERAS

Answers

bro i really dont know this is hard

Solve -5(3n + 4) = 40.

Answers

N=-4
Distribute the -5
-15n-20=40
-15n=60
n=-4


Please help 300 points

Answers

Answer:

4x + 9 ≥ 0

Step-by-step explanation:

The inside of the square root, the radicand, cannot be negative.

It can only be zero or positive.

Zero or positive is also described as being greater than or equal to 0.

Set the radicand to be greater than or equal to zero.

4x + 9 ≥ 0

Answer:

4x+9>=0

Step-by-step explanation:

The domain of a square root is that it can’t be less than 0. So we have the equation 4x+9>=0.


On a recent math assignment consisting of 32 problems, Wendy had 5 application problems, and the
rest involved only computation. What percent of the problems were only computation?

Answers

Answer:

84.375%

Step-by-step explanation:

Total no. of computation problem=32-5=27

Total no. problems in the assignment=32

=) per%= 27/32×100%=84.375%

PLS MARK ME AS BRAINLIEST

PLEASE HELP PLEASE I WILL GIVE BRAINLIEST

Answers

Answer

Parallelogram: A quadrilateral with 2 pairs of parallel sides. Rectangle: A parallelogram with 4 right angles.

Select all expressions equivalent to
532
20
202
124
55
51.43
5.43

Answers

3rd and 5th answers are correct

Mario loaned Robert $390 at an interest rate of 18% for 229 days. How much will Robert pay Mario at the end of 229 days? Round your answer to the nearest cent.

Answers

Answer:

Amount Robert will pay back = $434.04

Step-by-step explanation:

Formula for interest is;

I = (P * R * T)/100

We are given;

P = $390

Rate = 18%

Time; T = 229 days = 229/365

Thus;

I = (390 * 18 * (229/365))/100

I = $44.04

Thus, total amount Mario will pay back = $390 + $44.04 = $434.04

Help help help help math

Answers

Answer:

(-8, 12)

Step-by-step explanation:

Dilation of point (-4, 6) about point (0, 0)

Scale factor = 2

Image coordinate:

(-8, 12)

hope this helps and is right!! p.s. i really need brainliest :)

Ron has a co-op in the Astor Cooperative development. There are 40,000 shares in the cooperative ownership. If Ron owns 500 shares, what percentage of the cooperative corporation does he own?

Answers

Answer:

Ron owns 1.25% of shares.

Step-by-step explanation:

400/50000 comes out to 0.0125 which can be converted into a decimal by moving the decimal two places to the right.

which of the following steps were applied to ABCD to obtain A'B'C'D'?

A. shifted 3 units left and 2 units up
B. shifted 2 units left and 4 units up
C. shifted 2 units left and 3 units up
D. shifted 3 units left and 4 units up ​

Answers

Answer:

A. shifted 3 units left and 2 units up

Answer:

shifted 3 units left and 2 units up

Based on a survey, assume that 35% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when six consumers are randomly selected,
delivery by drones. Identify the values of n, ×, p, and q.

Answers

Answer:

Suppose that we want to find the probability that when six consumers are randomly selected, actually three of them are comfortable with delivery by drones.

Step-by-step explanation:   hopes this helps you!

Which list of numbers could be used to name each point plotted on the number line?

A nuimber line goes from 3.45 to 3.6 in increments of 0.01. Blanks are located as follows: above the first tick mark after 3.45, above the second tick mark after 3.45, above the third tick mark after 3.5, and above the first tick mark after 3.55.

Answers

Answer:

Step-by-step explanation:

numbers are {3.46,3.47,3.48,3.49,3.50,3.51,3.52,3.53,3.54,3.55,3.56,3.57,3.58,3.59}

Choose the number (X) that should come next in this series (1 4 9 16 X).

20
23
25
27

Answers

Answer:

25

Step-by-step explanation:

[tex]1^2=1\\\\2^2=4\\\\3^2 = 9\\\\4^2=16\\\\\text{So the next number should be}~ 5^2=25[/tex]

Sort all of the following triangle side lengths into if each set would form a right, acute, or obtuse triangle.

Answers

Answer:

  acute, acute, obtuse*, right, obtuse

Step-by-step explanation:

The Pythagorean theorem is used as a reference for classifying triangles from their side lengths. If the sum of the squares of the short sides is equal to the square of the long side, then the triangle is a right triangle. If the long side is too short, then triangle is acute. If the long side is too long, the triangle is obtuse.

__

The math can be tedious, so it is convenient to let a spreadsheet do it. The results are attached.

The first two triangles are acute; the 4th one is a right triangle, and the remaining two are obtuse.

_____

Additional comment

* Note that triangle #3, with side lengths 2, 4, 6, is classified as "obtuse" because the largest angle is greater than 90°. In fact, with those side lengths, the largest angle is 180°. Some would argue it isn't a triangle at all because its area is 0 and it looks like a line segment.

(Our spreadsheet doesn't care if the triangle inequality is not satisifed. It is only concerned with the Pythagorean theorem.)

The number 2 in the expression 5 + 2x is called the
coefficient of x. How does changing the coefficient to
6 change the meaning of the expression?

Answers

Changing the coefficient of x to 6 changes the meaning of the expression as 5 is added to 6 times x

Solution:

Given that number 2 in the expression 5 + 2x is called the coefficient of x

We are asked to find what happens when changing the coefficient to 6 changes the meaning of the expression

In the expression,

5 + 2x

This means 5 is added to 2 times x or 5 is added to twice of x

Number 2 is called the coefficient of x

When we change this coefficient to 6, the expression becomes,

5 + 6x

So now the meaning of expression becomes,

5 is added to 6 times x

So changing the coefficient of x changes the meaning of the expression

If Mrs.davis serves each guest 1/6 of a pie what is the greatest number of guests she can serve

Answers

Well if the whole pie is divided into 1/6ths it would only be 6 people before the entire pie ran out
Mrs. Davis can serve a maximum of 6 guests if she gives 1/6 of the pie to each guest.

A can of soda can be modeled as a right cylinder. Aubrey measures its height as 10.1
cm and its circumference as 14 cm. Find the volume of the can in cubic centimeters.
Round your answer to the nearest tenth if necessary.

Answers

The volume of the cylinder is the amount of space in the cylinder

The volume of the cylinder is 218.4 cubic centimeter

How to determine the volume of the cylinder?

The given parameters are:

Circumference (C) = 14 cm

Height (h) = 10.1 cm

Start by calculating the radius (r) using:

[tex]C = 2\pi r[/tex]

So, we have:

[tex]2\pi r = 14[/tex]

Make r the subject

[tex]r =\frac 7\pi[/tex]

The volume of the cylinder is then calculated as:

[tex]V =\pi r^2h[/tex]

This gives

[tex]V =\pi * (\frac{7}{\pi})^2 * 14[/tex]

Evaluate

[tex]V =218.4[/tex]

Hence, the volume of the cylinder is 218.4 cubic centimeter

Read more about volumes at:

https://brainly.com/question/10171109

CAN SOMEONE GIVE ME A RIGHT ANGLE TRIG WORD PROBLEM JUST MAKE IT UP PLS ILL GIVE BRAINLIEST

Answers

Answer:

In a right triangle, the leg adjacent to an angle of 25° is 13 cm long. How long is the leg opposite the 25° angle, to the nearest tenth?

Step-by-step explanation:


The quadratic function

Answers

Answer:

Four and three arithmetic numbers of this equation are then

Step-by-step explanation:

[tex]x = 3 = x = 4 > - 4 > < - 3 = x = 4[/tex]

And the numbers are equal

[tex]x = 4 \\ y = 3 \\ x \times y = 12 = 12 > 4 > 3 = xy = 0 = \\ xy = - 12[/tex]

Help me please anybody. And I am in my school iPad

Answers

Answer:

(0,5)

Step-by-step explanation:

I'm really not sure but I'm pretty positive that this is the answer if not than my bad

how many 5 seater taxis do you need for78 people

Answers

Step-by-step explanation:

Answer: 78 /5 = 15.6 = 16 taxis. Step-by-step explanation: I HOPE THIS WILL HELP YOU AND MARK IT AS BRAINLIEST ANSWER PLEASE.

What is the outlier for the data set? PLS HELP I REALLY NEED HELP :(
Heart Rate
5 0 7
6 3 5 6 8 8
7 0 2
8
9 0
5 0 = 50 beats per minute
40
50
68
90

Answers

Answer:

6 3 5 6 8 8

Step-by-step explanation:

number is farthest apart from others

Answer:

The correct answer is 90

Step-by-step explanation:

90 is the biggest number in the number set so therefore it is an outlier.

Have an amazing day!!

Please rate and mark brainliest!!

How do I do this question folks?

Answers

Answer:

Correct answer: B

Step-by-step explanation:

Syntax: in piecewise functions such as the one attached, the "if:" section shows the domain, or x-axis values which that function pertains to.

In the graph, you can see that the graph is defined for [tex]-3\leq x < 1[/tex] (not-including 1 because there is an open hole there, indicating it is not part of the domain), and [tex]2\leq x\leq 4[/tex].

Now that we know the domain, we can attach it to the graphs that lie on those domains.

We see that the leftmost line appears to have a positive slope and a negative y-intercept, and that the second line should have a positive y-intercept and a negative slope.

At this point, you can just start crossing off answers that don't meet this criteria.

Cheers!!

I need to solve 5 :(

Answers

Answer:

the distance between df is just 2dj so i belive its 12.

Step-by-step explanation:

The diameter of a circular field is 56 cm. Find the length of wire required to
fence it? How
many times it can be fenced with 704 m of wire ?

Answers

Answer:

176cm

400 times

Step-by-step explanation:

on
Find the distance between -1/2 and 1 2/3
on
a number line.

units

Answers

Answer:

Step-by-step explanation:

1 2/3 -(-1/2)

=5/3+1/2

[tex]=\frac{10+1}{6} \\=\frac{11}{6} \\=1\frac{5}{6}[/tex]

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