Suppose y varies jointly as x & z. If y = -180 when z = 15and x = -3,then find y when x = 7 and z = -5. 1 point

Answers

Answer 1

Answer:

y = - 140

Step-by-step explanation:

The statement

y varies jointly as x & z is written as

y = kxz

to find y when x = 7 and z = -5 we must first find the relationship between the variables

when y = - 180

z = 15

x = - 3

- 180 = k(15)(-3)

-180 = - 45k

Divide both sides by - 45

k = 4

The formula for the variation is

y = 4xz

when

x = 7

z = -5

y = 4(7)(-5)

y = 4(-35)

y = - 140

Hope this helps you


Related Questions

1 1/3 minus 5/6 please help me out

Answers

Answer:

17/6

So this is the answer. If you want to convert to decimal... The answer will be 2.83..hope it is right

Convert 25 feet per second to miles per hour.​

Answers

1 mile = 5,280 feet

1 hour = 3600 seconds

3600/5280 = 0.681818 feet per second

25 ft per second x 0.681818 = 17.045 miles per hour

Round the answer as needed.

Answer:

The correct answer is 17.045 miles per hour.

A VERTICAL POLE OF CAST A SHADOW OF 4.5m LONG AT THE SAME TIME A TREE OF HEIGHT 24m LONG CAST A SHADOW OF 6m LONG. FIND THE HEIGHT OF THE POLE.​

Answers

Answer:

18 metres

Step-by-step explanation:

4.5/6 = x/24

¾= x/24

x = 18 m

Represents the solution to the inequality -9=2/3x-7<5

Answers

Answer:

-3=x <13

Step-by-step explanation:

[tex] - 9 = \frac{2x}{3} - 7 < 5[/tex]

Multiply through by 3

[tex] - 27 = 2x - 21 < 15[/tex]

Add 21 to all sides

[tex] - 6 = 2x < 36[/tex]

Divide through by 2

[tex] - 3 = x < 18[/tex]

The solutin set is

[tex]{- 3 = x < 18}[/tex]

Betsy's high school is putting on a production of a play as a fundraiser for the school's music programs. A local bank has agreed to allow the school to use a line of credit from which they can withdraw money to pay for the play. Then, any deposits they make at the bank will be applied to the negative balance of the credit account. The play cost $3,200.00 to produce, and they intend to sell tickets for $10 each. After the play, Betsy will take the ticket proceeds and deposit them with the bank. If 1,007 people attend the play's opening night, what will the balance of the bank account be?

Answers

Answer:

Hey there!

If 1007 people attend, they will make a profit of 10070 dollars.

The play costed 3200 dollars to produce, so we have -3200+10070=7500 dollars as the final balance of the bank account.

Let me know if this helps :)

Answer:

Step-by-step explanation:

the correct answer is 6,870 it was d for me it might be different :)

-

Which polynomial is a factor of both expressions? x – 8 x + 7 x – 2 (x – 2)2

Answers

Answer:

C. x-2

Step-by-step explanation:

edge

Answer: the 3rd the answer c

x-2

Step-by-step explanation:

Which is greater than 4? (a) 5, (b) -5, ...

Answers

It must be 5 (a) because it’s 4

Answer:

(a) 5

Step-by-step explanation:

5 is geater than 4

4 is greater than -5

Answer the questions when examining the data.
What is the domain?
What is the range?

I got (-infin.,infin) for domain but I’m not sure because there can’t be less that 0 days so I was wondering if it would be (3,infin), (3,192), (-infin,infin) or another coordinate. Please answer the range too

Answers

Greetings from Brasil...

In this case, we can say:

Domain = [0; 6]

Image = [3; 192]

see attachment

how many terms are there in the expressions 1 + 2k - j

Answers

Answer:

3 terms

Step-by-step explanation:

A term in mathematics, especially in Algebra, could be a number, a variable, variable together with a number or variables multiplied together as a single whole. Terms are usually separated with either negative or positive sign in an expression.

In the expression, [tex] 1 + 2k - j [/tex] , there are 3 terms here spared by either the negative sign or the positive.

The 3 terms are: [tex] 1, 2k, j [/tex].

There are 4 colas, 1 ginger, 7 root beers, and 6 cherry sodas in a cooler. What are the odds of choosing a ginger ale? Give your answer in a proportion in lower terms.

Answers

Answer:

Step-by-step explanation:

the odds of choosing a ginger ale is 1/21

The odds of choosing a ginger ale is 1/18.

To find the proportion, add all the numbers together, and put that as the denominator. Put the number that you are trying to find the proportion of as the numerator

A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint. If a can of paint contains 75 ounces of white paint, how many ounces of blue paint are in the can?

Answers

Answer:

60 ounces.

Step-by-step explanation:

Given:

A mixture contains 5 parts of white paint for every 4 parts of blue paint.

i.e. Ratio of white paint : blue paint = 5 : 4

Quantity of White paint = 75 ounces

To find:

How many ounces of blue paint = ?

Solution:

Here, we are given the ratio of white and blue paint in the mixture.

Also, we are given the quantity of white paint in the paint can.

And we have to find the quantity of other paint in the can.

Let us use all the given statements to find the unknown quantity of blue paint.

Ratio of white paint : blue paint= Ratio of quantity of white paint: blue paint

[tex]\dfrac{5}{4} = \dfrac{75}{\text{Quantity of blue paint}}\\\Rightarrow \text{Quantity of blue paint} = 15 \times 4\\\Rightarrow \text{Quantity of blue paint} = 60\ ounces[/tex]

So, the quantity of blue paint in the can is 60 ounces.

On Thursday, 40 trains left the station. Eight left late. On Saturday 50 trains left the station. Nine left late. What percentage of trains were not late on each day?

Answers

Answer:

Thursday=80%

Saturday=82 %

Step-by-step explanation:

Thursday trains not late=40-8=32

% trains not late=32/40×100=80

Saturday trains not late=50-9=41

% trains not late on Saturday=41/50×100=82


The table below shows the number of cars Jing sold each month last year.
What is the median of the data in the table.
13
16
19
20.5
23.5
Other:

Answers

Answer:

The median of the data in the table is 19.

Step-by-step explanation:

We are given the following data that shows the number of cars Jing sold each month last year below;

Number of cars Jing sold: 13, 16, 19, 20.5, 23.5

For calculating the median, firstly we have to observe that the number of observations (n) in our data is even or odd because;

If n is odd, then the formula for calculating median is given by;

                           Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]

If n is even, then the formula for calculating median is given by;

                           Median = [tex]\frac{(\frac{n}{2} )^{th} \text{ obs.} + (\frac{n}{2}+1 )^{th} \text{ obs.} }{2}[/tex]

Here, the number of observations in our data is odd, i.e. n = 5.

So, Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]

                   = [tex](\frac{5+1}{2} )^{th} \text{ obs.}[/tex]

                   = [tex](\frac{6}{2} )^{th} \text{ obs.}[/tex]

                   = 3rd obs. = 19

Hence, the median of the data in the table is 19.

What are all the numbers of Pi? I need this now please

Thank you!! ♥︎

Answers

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 ...

Step-by-step explanation:

8(4k - 4) = -5k - 32

Answers

Answer:

k=0

Step-by-step explanation:

8(4k-4)=5k-32

32k-32=-5k-32

32k-32+32=-5k-32+32

32k=-5k

32k+5k=-5k+5k

37k=0

37k/37=0/37

k=0

Answer:

k=0

Step-by-step explanation:

To solve for k, we need to first distribute the 8 through the parenthesis.

32k-32=-5k-32

Lets add 5k to both sides.

37k-32=-32

add 32 to both sides

37k=0

divide 37 from both sides

k=0

the first four terms of the sequence an=2n+3are
answer
5,8,11,14
3,5,7,9
1,3,5,7
5,7,9,11​

Answers

Step-by-step explanation:

Hey, there!!!

Your required answer is optionD.

checking,

The 1st sequences are,

5,8,11,14

here,

now, use formula,

(an = 2n+3) in the sequences,

a1 = 2×1+3=5 = matching

a2= 2×2+3=7 = not matched

a3= 2×3+3= 9 = not matched

a4= 2×4+3=11 = not matched.

For 2nd sequences

3,5,7,9

Use the formula of an term,

a1 = 2×1+3=5 = not matched

a2 =2×2+3=7not matched

a3 = 2×3+3=9= not matched.

For 3rd sequences,

1,3,5,7

a1=2×1+3=5= not matched

a2=2×2+3=7= not matched

a3=2×3+3=9= not matched

a4=2×4+3=11= not matched

Now, for 4th sequences,

5,79,11

a1=2×1+3=5= matching

a2=2×2+3=7= matching

a3= 2×3+3=9= matching

a4=2×4+4=11= matching

Therefore, the answer is option D.

Hope it helps..

We can calculate E, the amount of euros that has the same value as D U.S. dollars, using the equation e=17/20d. How many U.S. dollars have the same value as 1 euro?

Answers

Answer:

1.18 dollar.

Step-by-step explanation:

E = 17/20D

E => The amount in euros.

D => The amount in dollars.

From the question given,

E = 1

D =?

E = 17/20D

1 = 17/20D

Cross multiply

20 x 1 = 17D

20 = 17D

Divide both side by 17

D = 20/17

D = 1.18

Therefore, 1.18 dollar is equivalent to 1 euro.

Answer:

How many Euros have the same value as 1 U.S. dollar?

17/20 euros

How many U.S. dollars have the same value as 1 euro?

59/50 dollars

(or 0.85 either one is correct)

Step-by-step explanation:

Khan Academy

Hope this helps! ;)

If two angles are complements of each other then each angle is

Answers

Answer:

each angle is less than 90 degrees. angle 1+angle2=90 degrees

Step-by-step explanation:


Rita bought 4 CDs that were each the same price. Including sales tax, she paid a total of $ 61.60. Of that total,$ 2.80 was tax. What was the price of each CD before tax

Answers

Answer:

The price of each CD is:

$14.70

Step-by-step explanation:

(61.6 - 2.8) /4

=  58.8/4

= $14.7

Answer:

$14.70

Step-by-step explanation:

We want to find the price of each CD before tax. Therefore, we must first subtract the tax from the total.

total -tax

The total cost was $61.60 and the tax was $2.80

$61.60 - $2.80

$58.80

The price for the 4 CDs (without tax) was $58.50.

We know that each CD costs the same price and Rita bought four CDs. Therefore, we can divide the cost without tax by 4.

cost without tax / 4

The cost without tax is $58.80

$58.80 /4

$14.70

Each CD before tax costs $14.70

PLEASE help me solve this question! No nonsense answers please!

Answers

Answer:

10x -24 ft^2

Step-by-step explanation:

The area of the square is x^2

The area of the flower garden is lw

( x-4) ( x-6)

x^2 -6x-4x +24

x^2 -10x +24

Subtract the flower garden from the square to find the area of the patio

x^2 - ( x^2 -10x +24)

Distribute the minus sign

x^2 -x^2 +10x -24

10x -24

Answer:

c. 10x -24 sq. ft

Step-by-step explanation:

area of lot = x * x

area of garden = (x-4)(x-6) = x^2-10x+24

Area of patio

= area of lot - area of patio

= x^2 -(x^2-10x+24)

= 10x-24 sq.ft

PLEASE ANSWER QUICKLY ASAP
COMPLETE QUESTION B​

Answers

Answer:

Sector

Step-by-step explanation:

A sector of a circle is the portion of circle enclosed by two radii and arc

The height of the rectangular prism is 2 m. If its volume is 72 cubic meters, what is the area of the base, in square meters?

Answers

Answer:

Base area is 36 square meters

Step-by-step explanation:

The volume of a rectangular prism is V = (height)(length)(width).  We know all of these dimensions except for the area of the base, which is (length)(width).

Solving this equation for (length)(width), we get:

                                                       volume        72 m^3

(length)(width) = (area of base) = -------------- = -------------  = 36 m^2

                                                         height          2 m

Fachorise completely
x^2y^2-1​

Answers

Answer:

[tex](xy+1)(xy-1)[/tex]

Step-by-step explanation:

x²y²-1

=(xy)²-(1)²

=(xy+1)(xy-1)

Find the term of each sequence.

32, 80, 200, ...5th term

Answers

Answer:

t5 = 1250

Step-by-step explanation:

Each term is derived by multiplying the previous term by 2.5

t2 = t1 * 2.5

t2 = 32 * 2.5

t2 = 80

===========

tn = a*b^(n - 1)

t3 = 32*2.5^2

t3 = 200

That's just to test the formula. It does work.

===============

t5 = 32*2.5^(5 -1)

t5 = 32*2.5^4

t5 = 1250

On a number line if point A lies -3 and point B lies on 4, what is the length of AB

Answers

Answer:

7

Step-by-step explanation:

4-(-3)=

4+3=

7

Answer:

7

Step-by-step explanation: take the absolute value of both numbers and add them together so -3 becomes 3 and 4 stays the same they add up to 7.

Please solve these questions on the topic of exponents

Answers

Answer/Step-by-step explanation:

Recall: [tex] x^{-a} = \frac{1}{x^a} [/tex]

a. [tex] 4^{-3} = \frac{1}{4^3} = \frac{1}{64} [/tex]

b. [tex] 13^{-2} = \frac{1}{13^2} = \frac{1}{169} [/tex]

c. [tex] (-3)^{-2} = \frac{1}{-3^2} = \frac{1}{9} [/tex]

The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the following questions.
(a) What is the likelihood the sample mean is at least $25.00? (Round z value to 2 decimal places and final answer to 4 decimal places.)
Probability
(b) What is the likelihood the sample mean is greater than $22.50 but less than $25.00? (Round z value to 2 decimal places and final answer to 4 decimal places.)
Probability
(c) Within what limits will 90 percent of the sample means occur? (Round your answers to 2 decimal places.)

Answers

Answer:

a. [tex]\mathtt{P(X \geq 25) =0.0170}[/tex]     ( to four decimal places)

b. [tex]P(22.5<X<25) = 0.9043[/tex]   ( to four decimal places )

c. The limits will be between the interval of   ( 22.33,24.67 )

Step-by-step explanation:

Given that :

mean = 23.50

standard deviation = 5.00

sample size = 50

The objective is to calculate the following:

(a)  What is the likelihood the sample mean is at least $25.00?

Let X be the random variable, the probability that the sample mean is at least 25.00 is:

[tex]P(X \geq 25) = 1 - P(\dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}} < \dfrac{25- 23.50}{ \dfrac{5}{\sqrt{ 50}} })[/tex]

[tex]P(X \geq 25) = 1 - P(Z< \dfrac{1.5}{ \dfrac{5}{7.07107}} })[/tex]

[tex]P(X \geq 25) = 1 - P(Z< \dfrac{1.5 \times 7.071}{ {5}})[/tex]

[tex]P(X \geq 25) = 1 - P(Z< 2.1213)[/tex]

[tex]P(X \geq 25) = 1 - P(Z< 2.12)[/tex]   to two decimal places

From the normal tables :

[tex]P(X \geq 25) = 1 - 0.9830[/tex]

[tex]\mathtt{P(X \geq 25) =0.0170}[/tex]     ( to four decimal places)

(b) What is the likelihood the sample mean is greater than $22.50 but less than $25.00?

[tex]P(22.5<X<25) = P(\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt{n}}} <\dfrac{25-23.5}{\dfrac{5}{\sqrt{50}}} ) - P(\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt{n}}} <\dfrac{22.5-23.5}{\dfrac{5}{\sqrt{50}}} )[/tex]

[tex]P(22.5<X<25) = P(Z<\dfrac{1.5}{\dfrac{5}{7.071}} ) - P(Z<\dfrac{-1}{\dfrac{5}{7.071}} )[/tex]

[tex]P(22.5<X<25) = P(Z<2.12) - (Z<-1.41 )[/tex]

[tex]P(22.5<X<25) = (0.9830 ) - (0.0787)[/tex]

[tex]P(22.5<X<25) = 0.9043[/tex]  to four decimal places

(c) Within what limits will 90 percent of the sample means occur?

At 90 % confidence interval, level of significance = 1 - 0.90 = 0.10

The critical value for the [tex]z_{\alpha/2} = 0.05[/tex] = 1.65

Standard Error = [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]

Standard Error =  [tex]\dfrac{5}{\sqrt{50}}[/tex]

Standard Error = 0.7071

Therefore, at 90 percent of the sample means, the limits will be between the intervals of : [tex](\mu \pm z_{\alpha/2} \times S.E)[/tex]

Lower limit =  ( 23.5 - (1.65×0.707) )

Lower limit =  ( 23.5 - 1.16655 )

Lower limit = 22.33345

Lower limit = 22.33    (to two decimal places).

Upper Limit = ( 23.5 + (1.65*0.707) )

Upper Limit = ( 23.5 + 1.16655 )

Upper Limit = 24.66655

Upper Limit = 24.67

The limits will be between the interval of   ( 22.33,24.67 )

At the end of the day, a bakery gives everything that is unsold to food banks for the needy. If it has 12 apple pies left at the end of a given day, in how many different ways can it distribute these pies among 6 food banks for the needy?

Answers

Answer:

462 ways

Step-by-step explanation:

The formula to use in solving this problem is given as the Combination formula

The Combination formula is given as

C(n , r) = nCr = n!/r! (n - r)!

We are told that a food bakery has 12 pies unsold at the end of the day which they intend to share to 6 food banks

n = 12, r = 6

In order to ensure that at least 1 food bank gets 1 pie, we have:

n - 1 = 12 - 1 = 11

r - 1 = 6 - 1 = 5

Hence,

C(11, 5) = 11C5

= 11!/ 5! ×(11 - 5)!

= 11!/5! × 6!

= (11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)/ (5 × 4 × 3 × 2 × 1) ×( 6 × 5 × 4 × 3 × 2 × 1)

= 462 ways

Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 4x+4\leq9x+84x+4≤9x+8

Answers

Answer:

  x ≥ -4/5

Step-by-step explanation:

Maybe you want to solve ...

  4x+4 ≤ 9x +8

  0 ≤ 5x +4 . . . . . subtract 4x+4

  0 ≤ x +4/5 . . . . . divide by 5

  -4/5 ≤ x . . . . . . . subtract 4/5

Answer:

x ≥−4/5

Step-by-step explanation:

Solve the equation for x. the square root of the quantity x plus 4 end quantity minus 7 equals 1

Answers

Answer:

x = 60

Step-by-step explanation:

I hope it helps :)

[tex]\sqrt{x+4} -7=1\\\mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\\sqrt{x+4}-7+7=1+7\\\sqrt{x+4}=8\\\mathrm{Square\:both\:sides}\\\left(\sqrt{x+4}\right)^2=8^2\\x+4=64\\x = 64-4\\x = 60[/tex]

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