The cost of a bottle of water is (w – 1) cents.
The cost of a bottle of milk is (2w – 11) cents.
A certain number of bottles of water costs $4.80.
The same number of bottles of milk costs $7.80 .
Find the value of w

Answers

Answer 1

Answer:

w= 25

Step-by-step explanation:

Cost of water= (w -1)¢

Cost of milk= (2w -11)¢

Let the certain number be x.

x(w -1)¢= 480¢ -----(1)

x(2w -11)¢= 780¢ -----(2)

From (1):

wx -x= 480 -----(3)

From (2):

2wx -11x= 780 -----(4)

(3) ×2:

2wx -2x= 960 -----(5)

(5) -(4):

(2wx -2x) -(2wx -11x)= 960 -780

Expand:

2wx -2x -2wx +11x= 180

9x= 180

Divide both sides by 9:

x= 180 ÷9

x= 20

Substitute x= 20 into (3):

w(20) -20= 480

20w -20= 480

20w= 480 +20

20w= 500

w= 500 ÷20

w= 25


Related Questions

Simplify
4^33 8^37
—————-
4^15 8^21

A. 4^18 8^58
B. 4^18 8^16
C. 8^48 16^58
D. 16^18 64^16

Answers

Answer:

A

Step-by-step explanation:

John earns $6000. He spends $1000 on rent, $1500 on grocery, $500 on travel and saves the rest. What size angle should be drawn on the pie chart to represent his savings? *

Answers

Answer:

$3000

Step-by-step explanation:

6000-1000-1500-500= $3000

what's the difference between (F(x))^2 and F^2(x) ?​

Answers

Answer:

f^2(x) means f(f(x)). [f(x)]^2 means the square of the function.

Step-by-step explanation:

I am sorry to say so, but the other answer is rubbish.

there is no difference.

both mean the same thing : f(x) × f(x).

f(f(x)) is exactly what that expresses (f of f(x)).

another way of writing for this would be (f○f)(x).

but never ever f²(x).

please ignore the other answer.

Graph the image of the polygon after a reflection in the line y= −x.

Answers

Answer:

If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).

Step-by-step explanation:

Since you didn't provide an image of the polygon I can't give you a direct answer but this is how you do it.

Write the following expression as a sum and/or difference of logarithms. Express powers as factors.
log_b (u^9v^4) u>0, v> 0

Answers

Answer:

9log_b(u)+4log_b(v)

should be like that. let me know if iam wrong

i need help assap

Consider the function g(x) shown below over a domain of [1,∞).

g(x) = 2(x – 1)2 – 3

Part A
Determine g–1(x).


Part B
Identify the domain and range of g(x) and g–1(x). Represent the domains and ranges in inequality, interval, and set notation. Describe the relationship between the domains and ranges of g(x) and g–1(x).


Part C
Graph g(x) and g–1(x). Describe the relationship between the graphs of g(x) and g–1(x).

Answers

It’s 2=x because you have start with 2 then 5

C= 5 by 9 (F − 32)where F is the temperature in °F and C is the temperature in °C. Convert the temperature −10℉ into ℃ .Give your answer to 2 d.p.​

Answers

Answer:

-23.33 °C

Step-by-step explanation:

C = 5/9 (-10 - 32)

C = 5/9 (-42)

C = -23.3333 ≈ -23.33 °C

hope it helps :)

mark brainliest!

7. Reesa's sister is a salesperson at Old Navy.
a. Reesa's sister earns $15 per hour. The store
offers her a raise-a 6% increase per hour.
After the raise, how much will Reesa's sister
make per hour?

HELP

Answers

Answer: 24$

Step-by-step explanation:

evaluate f*ds where f = <3xy^2,3x^2y,z^3> and m is the surface of the sphere of radius 5 centered at the origin

Answers

The value of f.ds = 20π.

What is Flux?

The quantity of electric or magnetic field lines that flow across a surface in a specific period of time is known as flux. Field lines offer a way to visualise the size and direction of the field under study.

Given:

f = <3xy²,3x²y,z³>

Using Divergence Theorem

P= 3xy²

Q= 3x²y

R = z³

So, dP/ dx= 3y²

dQ/ dy = 3x²

dQ/ dz = 3z²

So, [tex]\int\limits\int\limits\int\limits dV[/tex]= [tex]\int\limits\int\limits\int\limits (dP/ dx + dQ/dy+ dR/dz)[/tex]

= [tex]\int\limits\int\limits\int\limits[/tex] (3y² + 3x² + 3z²)

= [tex]\int\limits\int\limits\int\limits[/tex] 3 (y² + x² + z²)

Since the radius is 5.

= [tex]\int\limits\int\limits\int\limits[/tex] 3(5)

= 15 [tex]\int\limits\int\limits\int\limits[/tex] dV

= 15 (4/3)π

= 20π

Learn more about flux here:

https://brainly.com/question/14527109

#SPJ5

Solve for x:
7 |x - 2| + 7 = -2 |x - 2| + 2

Answers

Answer:

It is a fraction -5/9

Step-by-step explanation:

This is so stressful, i’ve tried everything and I don’t get this at all.

Answers

n = 5

These are similar triangles so their sides are proportional. The scale factor is the smaller triangle to the large triangle is

5/12.5 = 4/10 = 2/5

So if AB corresponds to QR (2 corresponds to n) then n = 5

Use the graph to find the value of y = sin q for the value of q.
360°
1
90
180
270
1360
e
+
0.2
c.
b. 0
a.
0.4
d. 0.6

Answers

Graphs are used to represent functions, and vice versa

The value of y for q = 360 degrees is 0

The sine equation is given as:

[tex]y = \sin(q)[/tex]

When q= 360 degrees, the sine equation becomes

[tex]y = \sin(360)[/tex]

At q= 360, the graph crosses the x-axis.

i.e. the value of the graph is 0.

So, the sine equation becomes

[tex]y = 0[/tex]

Hence, the value of y for q = 360 degrees is 0

Read more about sine equations at:

https://brainly.com/question/3522842

Given the function f(x)=|x|, if the function is shifted 0.5 units down, then shifted 3 units left, and reflected over the y-axis, what is the equation of the new function

Answers

Answer:

f(x) = |x - 3| - 0.5.

Step-by-step explanation:

).5 units down gives |x| - 0.5

3 units to the left gives |x + 3| - 0.5

Reflection over the y-axis gives |x - 3| - 0.5.

Need help ppl keep givin me links

Answers

Answer:

∠DAB=140

∠BAC=60

∠EBF=40

∠ACB=80

∠BCG=100

Step-by-step explanation:

PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you

Answers

Answer:

option 4

Step-by-step explanation:

(y intercept and negative slope)

Anu and Aji solve an equation. In solving Anu commits a mistake in constant term and finds the roots 8 and 2. Aji commits a mistake in the coefficient of x. The correct roots are (a) 9,1 (b)-9,1 (c) 9, -1 (d) -9.-1​

Answers

The correct roots of the equation are (a) 9 and 1

From the complete question, their mistakes are:

Anu

Roots: 8 and 2Wrong constant term

Aji

Roots: -9 and -1Wrong coefficient

A quadratic equation is represented as:

[tex]ax^2 + bx + c = 0[/tex]

Where:

[tex]\alpha\beta = \frac ca[/tex] --- product of roots

[tex]\alpha + \beta = -\frac ba[/tex] --- sum of roots

Anu made a mistake in the constant term, so we consider the sum of roots

[tex]Sum = 8 + 2[/tex]

[tex]Sum = 10[/tex]

Aji made a mistake in the coefficient, so we consider the product of roots

[tex]Product = -9 \times -1[/tex]

[tex]Product = 9[/tex]

The possible equations from the above sum and products are:

[tex]x^2 + 10x + 9 =0[/tex].[tex]x^2 - 10x + 9 =0[/tex].[tex]x^2 + 10x - 9 =0[/tex].[tex]x^2 - 10x - 9 =0[/tex]

Of all the above equations, the most likely equation is [tex]x^2 - 10x + 9 =0[/tex], and it has a root of 9 and 1

Hence, the correct roots are (a) 9 and 1

Read more about roots of equations at:

https://brainly.com/question/3923172

Here you go. 29-28+28+11-11=?

Answers

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

29-28=1

1+28=29

29+11=40

40-11=29

Thank you for this challenge that was half the challenge of a challenge........

Better hope you stay up long enough to see the animatronics. :)

how do i tell if an angel is comolentery, supplmentsry, or neither? I was not at school the day they showed me this? ​

Answers

Answer:

supplementary angles - two angles are supplementary when they add up to 180 degrees (a straight line)

complementary angles - two angles are complementary when they add up to 90 degrees (a right angle)

hopefully this helps! :)

Answer:

1. complementary

2. neither

3. supplementary

4. complementary (x = 6)

10x + 30 = 90         x + 3 = 9          x = 6

5. supplementary (x = 20)

4x + 40 + 3x = 180       7x = 140       x = 20

6. x = 50.5

2x + 79 = 180     2x = 101       x = 50.5

Step-by-step explanation:

When the measurement of the angles adds up to 90 degrees, the angles are complementary. When the sum of the angles is 180 degrees, then they are supplementary.

HELP ASAP NO LINKS PLS (OR THEY WILL BE REPORTED) SIMPLE ANSWER PLS


Give two systems of equations that would be easier to solve by substitution than by elimination. Then give two systems that would be easier to solve with elimination. Finally, explain how you decide whether to use elimination or substitution to solve a system.

Answers

Answer:

These techniques for elimination are preferred for 3rd order systems and higher.  They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b.  Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method.  As the system of equations increases, the "condition" of a matrix becomes extremely important.  Some of this may sound completely alien to you.  Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n')  become larger than 2.

Step-by-step explanation:

Just to add a bit more information, "Elimination" Can have a variety of other interpretations.  Elimination techniques typically refer to 'row reduction' to achieve 'row echelon form.'  Do not worry if you have not heard of these terms.  They are used in Linear Algebra when referring to "Elimination techniques"

 

Gaussian Elimination

Gauss-Jordan Elimination

LU-Decomposition

QR-Decomposition

 

These techniques for elimination are preferred for 3rd order systems and higher.  They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b.  Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method.  As the system of equations increases, the "condition" of a matrix becomes extremely important.  Some of this may sound completely alien to you.  Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n')  become larger than 2.

 

Substitution is the preferred method for 2 equations in 2 unknowns.  The constants are unimportant other than having a non-zero determinant.  It is always easy to find multiplicative factors using LCMs of one variable or the other to allow substitution into the other equation:

 

Example:

 

4X + 5Y = 9

5X -  4Y = 1

 

Notice that 20 is a LCM of either the X or Y variable.  So multiply the first by 4 and the second by 5 and then adding the two (Y's will drop out allowing for substitution)

 

4(4X + 5Y = 9)

5(5X -  4Y = 1)  

 

Multiplying to produce the LCM factors:

 

16X + 20Y = 36

25X -  20Y = 5

 

Adding the equations

 

41X = 41

X = 1

 

Substitution into either equation yields

Y = 1

 

Elimination techniques are preferred for Rank-n>3

Answer:

I like the view

help me please???????​

Answers

Answer:

we have to know what your element is to help you answer this question

Sam currently 100 followers on TikTok, and gains 8 subscribers a week. Alex currently has 220 followers, and gains 3 followers each week.
Part A: Set up a system of equations to shows each person's subscribers. (2 points)
Part B: After how many weeks will Sam and Alex have the same number of subscribers? (1 point)
Part C: How many subscribers will Sam and Alex have when their subscriber count is equal? (1 point)

Answers

Part A: The system of equations to shows each person's subscribers is:

S  =  100  +  8x

A  =  220  +  3x

Part B: Sam and Alex will have the same number of subscribers after 24 weeks

Part C: Sam and Alex will have 292 subscribers when their subscriber count is equal

Let the number of weeks be x

The initial number of followers that Sam has = 100

Sam gains 8 subscribers every week

Let the total number of subscribers that Sam has be S

The equation that represents Sam's total subscribers is:

S    =   100  +   8x..................(1)

The initial number of followers that Alex has = 220

Alex gains 8 subscribers every week

Let the total number of Alex's subscribers be A

A  =  220  +  3x....................(2)

If Sam and Alex have the same number of subscribers:

S   =   A

100 + 8x  =  220  +  3x

8x  -  3x   =   220   -  100

5x    =   120

x   =  120/5

x   =   24

Sam and Alex will have the same number of subscribers after 24 weeks

To find the number of subscribers that Sam and Alex will have when their subscriber count is equal, substitute x = 24 into equation (1)

S = 100 + 8x

S  =  100  +  8(24)

S  =   292

Sam and Alex will have 292 subscribers when their subscriber count is equal

Learn more here: https://brainly.com/question/25898415

Please help me !!


Nine more than eight times a number (x) is at least forty-nine

What’s the inequality & the solution to the inequality is ..

Answers

Answer:

x = 5.

Sorry if you didn't mean find x and I have no idea about the inequality stuff.

Step-by-step explanation:

We can do a reverse equation in steps. So the first thing we'll do is..

49 - 9 which equals 40.

Then we should do a division since the opposite of multiplication is division.

40 divided by 8 = 5.

To check that we do 5 x 8 = 40 + 9.

Hope that helps. x

Answer:

See below

Step-by-step explanation:

9 + 8x [tex]\geq[/tex] 49

Subtract 9 from both sides

8x [tex]\geq[/tex] 40

Divide by 8

x [tex]\geq[/tex] 5

STUDY TIP 1

Don't do all your studying the night before. Instead spread it out, review class materials several times a week, and focus on one topic at a time.

FOLLOW FOR MORE TIPS !!!

Answers

Answer:

THANK U!

FOR THE TIP.

HAVE A GREAT DAY!

Maya’s bird feeder holds 1/2 of a cup of bird seed. Maya is filling the feeder with a scoop that hold 1/6 of a cup of birdseed how many scoops will maya put into the feeder

Answers

Answer:

3 scoops

Step-by-step explanation:

If the bird feeder holds 1/2 cup, and Maya is filling it with a scoop that holds 1/6 cup of birdseed, then Maya will need 3 scoops of the 1/6 cup scoop.

1/6 + 1/6 + 1/6

= 3/6

= 1/2

Use long division to find the quotient below.
(10x^3 - 19^2 - 2x + 12) / (2x-3)

Answers

10x³ -19x2-2x+12 ÷(2x-3)
answer:
B

PLEASE HELP SOON!!!!!!!!!!!!!!!

Answers

Answer:

35

Step-by-step explanation:

10 - (-20) turns into 10+20 and 8+(-3) is just 8-3

Answer:

Step-by-step explanation:

remove brackets

8-3+10+20=35

Please help guys this is just domain and range

Answers

Answer:

domain: x>=0

range: y>=1

Step-by-step explanation:

domain: x>=0

range: y>=1

what is 7.5% as a fraction

Answers

Answer:

15/2

Step-by-step explanation:

hope it helps (•‿•)

Two systems of equations are shown: System A System B 6x + y = 2 2x − 3y = −10 −x − y = −3 −x − y = −3 Which of the following statements is correct about the two systems of equations? The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than the coefficient of x in the first equation of System A. They will have the same solution because the first equations of both the systems have the same graph. They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A. The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.

Answers

Answer:

well i dont know this sorry

Step-by-step explanation:

When Bill bought a marigold plant, it was 1 1/4
inch tall. After the first week, it measured 2 inches tall. After the second week, it was 2 3/4
inches. After week 3, it was 3 1/2 inches tall.

Answers

don't worry i help you now

Step-by-step explanation:  Let's come up with points that would be on the graph of a str. line:

(0, 1/4), (1, 1 1/12), (2, 1 11/12), (and so on).

Assume that this is a line, a str. line, and not a curve.  

The slope of this line is

       1 11/12 - 1 1/12

m = ------------------------ = 10/12, or 5/6.

              2 - 1

We now have the slope and y-intercept:  slope = m = 5/6; intercept = 1/4.

The line is then    y = (5/6)x + 1/4.

To answer this question, substitute 4 for x and calculate y:

  y = (5/6)(4) + 1/4 = 20/6 + 1/4   =  40/12 + 3/12   =   43/12 inches.

That's 3 7/12 inches.

i think that may help you  

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