y varies directly as x and inversely as the square of z. y = 65 when x = 80 and z=4. Find y when x= 18 and z=3.

Answers

Answer 1

Answer: y

=

18

Explanation:

As

y

varies directly as

x

, we have

y

x

. Also it varies inversely as square of

z

, which means

y

1

z

2

.

Hence,

y

x

z

2

or

y

=

k

×

x

z

2

, where

k

is a constant.

Now when

x

=

80

and

z

=

4

,

y

=

10

, so

10

=

k

×

80

4

2

=

k

×

80

16

=

5

k

Hence

k

=

10

5

=

2

and

y

=

2

x

z

2

.

So when

x

=

36

and

z

=

2

,

y

=

2

×

36

2

2

=

72

4

=

18

Step-by-step explanation:


Related Questions

Which expression is equivalent to 8(7m - 9p)?

Answers

Answer:

8(7m-9p) = 8(7m) - 8(9p)

= 56m - 72p

Let me know if this helps!

Answer:

56m-72p

Step-by-step explanation:

8(7m-9p) = 8*7p + 8*-9p = 56m-72p

Can you guys figure out the linear function for this table, please?

Answers

Answer:

y = 6x + 10

Step-by-step explanation:

This is because the slope is 6 and the y intercept is 10, therefore the answer is y = 6x + 10

necesitooo su ayudaaa​

Answers

Answer:

in1 ans is 5

in2ans is 9 ok

Factor: m*(m+n)-3m*(m+n)^2

Answers

Answer:

−m(m+n)(3m+3n−1)

Step-by-step explanation:

here is the question then the answers

Answers

Answer:

Domain is all real numbers.

Step-by-step explanation:

Domain is the x-values, as you see the function goes on forever on the x-axis because of the arrows.

Determine whether the triangles are congruent by AA., SSS, SAS, or not similar.

Answers

Step-by-step explanation:

they are similar by AA .

plz mark my answer as brainlist plzzzz . hope this will be helpful to you.

which scenario could be represented by the agebraic expression n- 13?​

Answers

Answer:

Lucy bought a large box of M&M cookies. She bought 13 less chocolate-chip cookies.

Step-by-step explanation:

The scenario has to represent 13 less than n. The "Lucy" scenario represents this with n (M&M cookies) - 13 (less chocolate-chip cookies).

Hope it helps!

Please show work and help me please

Answers

Answer:

31.4 in

Step-by-step explanation:

the formula for circumference is 2*[tex]\pi[/tex]*radius. Since the diameter (which is the radius multiplied by 2) is labeled we can divide 10 by 2 to get the radius. 10/2 is 5. Since pi is an infinite number, we round it to 3.14. Then, plug in the numbers. The expression will be 2*3.14*5. 2* = 10 and 10 * 3.14 you can just move the decimal so the answer is 31.4.

a) Simplify
a x b x 8
(1)
b) Simplify
y xyxy
(1)
c) Simplify fully
ex ex exexf
ex ex exfxf
(2)
Total marks: 4

Answers

Answer:

a. 8ab

b. y^3

c. e/f

Step-by-step explanation:

a; a * b * 8 = 8ab

b. y * y * y = y^3

c. we cancel out the e and f

e^4/e^3 * f/f^2

= e/f

NEED ANSWERS WILL MAKE BRAINLIEST!

Answers

Answer:

1

-4

none

none

6

3

min

2

-5

-2

max

-1

0

-5

none

none

Step-by-step explanation:

f(4) is just asking what the y value is when x=4 which is 1

f(-3) = -4

This has no minimum or maximum because the range is all real numbers (the y value goes to infintiy and negative infinity)

f(3)=6

f(0)= 3

This has a minimum because the lowest y value possible is not infinity (it's 2)

f(1)= -5

f(4)= -2

max= -1

f(-1)= 0

f(6)= -5

none

none

2 over 3 multiplied by 15

Answers

Answer:

The answer is 10.

Step-by-step explanation:

2/3 times 15 is the same as 2/3 of 15.

2/3 of 15 is 10.

So, the answer is 10.

Brad has $75 in his savings account and adds $25 every month he doesn't make any withdrawals from the account which inequality shows the number of months it would take Brad to save at least $200​

Answers

It would take Brad five months with adding $25 every month with a starting value of $75 in his bank account to save at least $200

The inequality representing the problem will be x+3 ≥ 8

What is inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, Brad has $75 in his savings account and adds $25 every month he doesn't make any withdrawals from the account, and saves at least $200.

Let the number of months be x,

75 + 25x ≥ 200

25(3+x) ≥ 200

x+3 ≥ 8

Hence, The inequality is x+3 ≥ 8

For more references on inequality, click;

https://brainly.com/question/28823603

#SPJ2

♥ Hey Valerie Here! ♥ please help

Answers

Answer:

C?

I hope this helps, if not C than A- i get them mixed at times- Sorry

Step-by-step explanation:

♥ Hey Grey Here! ♥

Alfred has 21 boxes of pencils. He is dividing them equally among four students. How many boxes of pencils will each student receive? Write your answer as a decimal.

Answers

Answer:

5.25

Step-by-step explanation:

21/4 = 5.25

pls give me brainliest :)

Im dying bro help The vertices of a quadrilateral are (2, 3), (3, 8), (7, 5), and (6, 2). Draw the quadrilateral in the coordinate plane.

Answers

Okay to the first number in the ordered pair is the x and the second is the y. So (x,y) when you put a dot on the coordinate plane such as (2,3), you have to go the the horizontal line which is x and go over right 2 spaces(depending on how many numbers is one space) then go up 3. Do that same thing for each of the order pairs. Eventually you will have 4 dots. Connect those dots then you will have the quadrilateral. I hope this helps you!

Elise had a credit card balance of -$120. She
made a payment of $70 this month. Write and
then evaluate a SUBTRACTION expression to
find her new credit card balance.

Answers

Answer:

15.50+n=325.00

Step-by-step explanation:

15.50+what she had in the bank already = what she has now

Step-by-step explanation:

Elise's new credit card balance is $-50.

Elise's credit card balance is negative. This means that she has withdrawn more money than she has deposited. Elsie thus owes the bank $-120. If she paid $70, the amount she owes would be reduced by $70.

Elise's new credit card balance = credit card balance + payment made

$-120 + $70 = $-50

A similar question was answered here: https://brainly.com/question/5636975

What is 4 wholes-2/5

Answers

Answer:

18/5

Step-by-step explanation:

4−

2

5

=

4

1

2

5

=

4

1

+

−2

5

=

20

5

+

−2

5

=

20+−2

5

=

18

5

(Decimal: 3.6)

Answer:

18/5

Step-by-step explanation:

4 wholes equal 20/5

20/5-3/5= 18/5

25% of a population have pets. What is the probability that the next person you speak to has pets?

Answers

Answer: I d k

Step-by-step explanation:

Answer:

25

explanation:

just because

Help I’m stuck on this

Answers

Did you just say you were stuck step-sis?

Answer:

it is 6,000 diffrence

Step-by-step explanation:

The blue dot is at what value on the number line?
3

Answers

Answer:

-3

Step-by-step explanation:

I think it’s -3 it’s been a while since I done these

3+2=___

4+2=___

8-8=___

Answers

Answer:

1)5

2)6

3)0

Step-by-step explanation:i subtracted

3+2= 5
4+2=6
8-8=0
if u put up 3 fingers then put 2 more up you get 5
if u put up 4 fingers then put up 2 more u get 6
if u put up 8 fingers and take 8 away u have 0 fingers left

Rich also has £400 pounds invest 3% compound interest . How many years does he need to invest the money to get at least £475

Answers

Answer: 6 years

Step-by-step explanation:

Formula to calculate compound amount: [tex]A=P(1+r)^t[/tex], where P= Principal , r=rate of interest, t= time

Given: P = £400, r = 3% = 0.03 , A= 475

Required equation: [tex]400(1+0.03)^t\geq475[/tex]

[tex]400(1.03)^t\geq475\\\\\Rightarrow\ (1.03)^t\geq\dfrac{475}{400}\\\\\Rightarrow\ (1.03)^t\geq1.1875[/tex]

Taking log on both sides , we get

[tex]t \log 1.03\geq\log1.1875\\\\\Rightarrow\ t(0.0128372)\geq(0.0746336)\\\\\Rightarrow\ t\geq\dfrac{0.0746336}{0.0128372}=5.81385\approx6[/tex]

Hence, he needs to invest the money for 6 years to get atleast £475.

The book rack sold 24 paperbacks on Saturday, 17 of them mysteries. What percent of the books were mysteries?

Answers

Answer:

About 71% of the books were mystery books

Step-by-step explanation:

To find the percentage of something you simply divide the amounts. 17 of the 24 books were mystery so to find the percentage of mystery books you do 17 divided by 24

17/24= 0.70833333333

and round it to 71

What is the equation of the line that has a
slope of 5 and a y-intercept of -1?

Answers

Step-by-step explanation:

y= mx+b

where m is the slope , and b is the y intercept

y= 5x -1

pls help me with this asap you dont have to give a big explanation i mostly need the answer

Answers

Answer:

because 3 spheres is inside the cylinder and they are placed close together

=> The height of the cylinder is 3 times the diameter

=> the height is 18cm

the volume of the cylinder is 3,14.18.(6/2)² = 508,68

because 3 spheres have the same diameter

=> the volume of 3 spheres is 4.3,14.3³ = 339,12

=> the volume of the cylinder that is left empty is 508,68 - 339,12 = 169,56

Step-by-step explanation:

Answer:

The answer is 508,68

Step-by-step explanation:

Since the volume of the cylinder is equal to the area of the permanent base multiplied in the height

Since the radius of the base is equal to 3 and since the area of its cylinder is equal to

[tex]314 \times 3 \times 3 = 28.26[/tex]

When the height equal to 18

Then the volume equal to

[tex]28.26 \times 18 = 508.68[/tex]

Solve 7x − 2y = −3
14x + y = 14

Answers

Move the constant to the left-hand side by adding its opposite to both sides, The sum of two opposites equals
7x-2y+3=0

-2(4x-1)-7=5

whats the next step in solving this equation

Answers

Answer:

Using distributive property is the next step in solving the equation

Step-by-step explanation:

-2(4x-1)-7=5

-8x+2-7=5

Answer:

The next step would be to do distributive property.

Step-by-step explanation:

-2(4x-1)-7=5

-8x + 2 - 7 = 5

-8x - 5 = 5

     +5    +5

-8x = 10

/-8     /-8

x= -5/4

 or

x = -1 1/4

Hope this helps and I hope u have an Amazing day!!

In the adjoining figure , APB and AQC are equilateral triangles. Prove that PC = BQ. ( Hint : [tex] \triangle[/tex]APC = [tex] \triangle[/tex]AQB, then PC = BQ)
~Thanks in advance ! ツ

Answers

Answer:

See Below.

Step-by-step explanation:

Statements:                                                           Reasons:

[tex]\displaystyle 1)\text{ } \Delta APB \text{ and } \Delta AQC \text{ are equilateral triangles}[/tex]      Given

[tex]\displaystyle 2) \text{ } m \angle PAB = 60[/tex]                                                     Definition of equilateral.

[tex]3)\text{ } m \angle QAC = 60[/tex]                                                     Definition of equilateral.

[tex]4)\text{ } m\angle PAB = m\angle QAC[/tex]                                          Substitution

[tex]5)\text{ } m\angle PAC=m\angle PAB+m\angle BAC[/tex]                       Angle Addition

[tex]\displaystyle 6)\text{ } m\angle QAB=m\angle QAC+m\angle BAC[/tex]                       Angle Addition

[tex]7)\text{ } m\angle QAB=m\angle PAB+m\angle BAC[/tex]                       Substitution

[tex]\displaystyle 8)\text{ } m\angle PAC=m\angle QAB[/tex]                                         Substitution

[tex]9)\text{ } PA=BA[/tex]                                                          Definition of equilateral

[tex]10)\text{ } AC=AQ[/tex]                                                        Definition of equilateral

[tex]\displaystyle 11)\text{ } \Delta PAC \cong \Delta BAQ[/tex]                                            Side-Angle-Side Congruence*

[tex]\displaystyle 12)\text{ } PC=BQ[/tex]                                                        CPCTC

* SAS Congruence:

PA = BA

∠PAC = ∠QAB

AC = AQ

Can you solve for a, b and c?
20 – 3b = -5
4a + 3b = 17
50 - 2a = 1

Answers

Answer:

c  =  1 ,  a  =  2,  b  =  3

Step-by-step explanation:

Complete the equation of the line whose y-intercept is (0,5) and slope is -9.

y=

Answers

Answer: y=-9x+5

Step-by-step explanation:

slope intercept form is y=mx+b

simply plug in the values.

m= the slope

the slope you gave was -9, so plug that in to m.

b= the y intercept aka when the number touches the y axis. in this case, it would be 5.

y=-9x+5

Other Questions
What connection does the author draw between British, American and African stories? The danger of a single story How does implicit bias negatively affect society and, specifically, oppressed populations? Diferencias e implicaciones culturales que experimentan las gerencias de las organizaciones sin fronteras. determine the empirical and molecular formulas of a compound that gives the following analysis in math percent: 24.27% C,4.07% H, and 71.65%CL. the molar mass is known to be 197.92g/mol. 1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30=who get the first is question? Mr. Sparks asked his science class to write down six ways they can reduce their carbon footprints at home. Becky created this list of items. Which items in Beckys list will reduce her carbon footprint, and which items will not? 3. How did the Brown vs Board of Education Case influence the Civil Rightsmovement? Choose one of the answers below and then explain your answer.A. By discouraging activists from relying on the judicial systemB. By guaranteeing minority students college scholarshipsC. By providing a judicial reason for eliminating segregation in other areas of thecountryD. By eliminating social barriers in hiring practices in large corporations Fill in the blank.19/2 = PLEASE HELP I NEED THIS FAST!!!!!!!!The first sentence of a summary should always include what 2 items? Its due late tonight can some pls help me pass somebody please help me in this question, Ill give you brainlyest and giving you 20 points :) Can yall help with this question plz Two similar triangles are shown. What is the measure of P? Fad diets are not recommended because 5 common public goods and services the government provide from the taxes we pay A bakery uses 44 cups of flour to make 10 loaves of bread. How many cups of flour are there per loaf? 25) Characteristic of a good school essayis to have 'clarity' and 'brevity'. 'Brevitymeans:13raveryb) Concisenessc)Elongationd) Extension A shark is swimming 42 feet below sea level. If the angle of depression from a boat on the water to the shark is 23, what is the horizontal distance between the boat and the shark? Show your work to receive full credit. Round to the nearest hundredth if necessary. A responsibility the Federal Reserve has is toloan money to banks during a crisis.loan money to corporations for capital.provide banking services to consumers.provide financial services to banks. Which statement accurately compares archaebacteria and eubacteria?Both take different shapes and sizes. Both are always heterotrophs. Both can sometimes live in extreme environments. Both are known as "true" bacteria.