Mary wants to buy candies with an amount of money she has in her pocket.  we know that if she had $3.20 more money she could buy 120 candies. While if she had $2.40 less money she could buy 85 candies. What is the price per candy?

Answers

Answer 1

Answer:

the price per candy is $0.16

and she has $16.00 in her pocket.

Step-by-step explanation:

x = the money in her pocket.

y = the price per candy

x + 3.2 = 120×y

x - 2.4 = 85×y

y = (x - 2.4)/85

=>

x + 3.2 = 120×(x - 2.4)/85 = (24x - 57.6)/17

=>

(17x + 17×3.2)/17 = (24x - 57.6)/17

17x + 54.4 = 24x - 57.6

54.4 = 7x - 57.6

112 = 7x

x = 16

y = (16 - 2.4)/85 = 13.6/85 = 0.16


Related Questions

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 14 people took the trip. She was able to purchase coach tickets for $370 and first class tickets for $1140. She used her total budget for airfare for the trip, which was $10,570. How many first class tickets did she buy? How many coach tickets did she buy?

Answers

Answer:

She bought 7 coach tickets and 7 first class tickets.

Step-by-step explanation:

1. Set the equations up using y to represent first class and x to represent coach:

x + y = 14

370x + 1140y = 10,570

2. Use a graphing calculator to graph the equations and find the point where they intersect.  The intersection point will tell you the number bought:

Answer:

Sarah bought y = 8 first class tickets.

Step-by-step explanation:

You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:

 

330x + 1220y = 12730    (cost of coach tickets plus cost of first class tickets is total budget)

x + y = 17    (number of coach tickets plus number of first class tickets is total number of people)

 

 

Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:

 

330x + 1220(17 - x) = 12730

330x + 20740 - 1220x = 12730

-890x + 20740 = 12730

-890x = -8010

x = 9

 

 Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:

 

9 + y = 17

y = 8

 

 

Sarah bought y = 8 first class tickets.

Hope this answer helps you :)

Have a great day

Mark brainliest

How many three letter permutations are possible from the letters in the word ACTION? ("ACT" is not the same as "CAT" so order is important.)

Answers

Answer:

120

Step-by-step explanation:

formula:

[tex]\frac{n!}{(n-h)!}=\frac{6!}{(6-3)!}=120[/tex]

The number of 3 letter words formed from the word ACTION is 120.

What is the Permutations?

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

The given word is ACTION.

We need to form a three letter words.

Here, 6P3 = 6!/(6-3)!

= 6×5×4×3!/3!

= 6×5×4

= 120 ways

Therefore, the number of possible words formed from the word ACTION is 120.

To learn more about the permutation visit:

https://brainly.com/question/3867157.

#SPJ3

Can someone please help me

Answers

Answer:

8,889

Step-by-step explanation:

1 twig = 10 leaves

1 branch = 10 twigs = 100 leaves

1 trunk = 10 branches = 1000 leaves

1 tree = 10 trunks = 10,000 leaves

The complete tree has 10,000 leaves

The woodcutter cut off:

1 trunk = 1000 leaves

1 branch = 100 leaves

1 twig = 10 leaves

1 leaf

Total number of leaves that were cut:

1000 + 100 + 10 + 1 = 1111

Leaves left on tree:

10,000 - 1,111 = 8,889

What are the minor arcs of OO?
H L O J K

Answers

Answer:

JK and LH

Step-by-step explanation:

if u look at it, they are the smaller arcs produced compared to HJ and KL which are much bigger

A jacket costs £72 after
a 10% price cut. What
was the original price?​

Answers

Answer:

£80

Step-by-step explanation:

80-(10%x80)=72. hope this helps

N/A questions does not exist

Answers

Answer:

ok

Step-by-step explanation:

why did you put it

Use a net to find the surface area of the cone
to the nearest square centimeter. Use 3.14 for
20 cm
TT.

Answers

Answer:

4444

Step-by-step explanation:

Answer:

819

Step-by-step explanation:

addinh jndenf,r fm,fd vm,fd  jngtjgntftb n

bm bm tm mt m

tmknmenmgv

etab

etbbbbbbehgeb

tbbbbbbbbbbb

The base of a 40-foot ladder is placed 24 feet away from a wall. What is the
height of the wall if the other end of the ladder reaches the top of it?
A. 32 ft
B. 64 ft
C. 16 ft
D. 26 ft

Answers

Answer:

A. 32 ft

Step-by-step explanation:

Pythagoras for right-angled triangles (as that is what this is here - the floor from the base of the ladder to the wall, the wall up to where the ladder ends, and the ladder itself as the Hypotenuse).

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90 degree angle).

so, we know,

c = 40 ft

a = 24 ft

we are looking for B

=>

40² = 24² + b²

1600 = 576 + b²

1024 = b²

b = 32 ft

what number must you add to complete the square? x^2+8x=9

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{x^2 + 8x = 9}[/tex]

[tex]\large\textsf{SUBTRACT 9 to BOTH SIDES}[/tex]

[tex]\mathsf{x^2 + 8x - 9 = 9 - 9}[/tex]

[tex]\mathsf{x^2 + 8x - 9 = 0}[/tex]

[tex]\large\textsf{FACTOR the LEFT SIDE of the EQUATION}[/tex]

[tex]\mathsf{(x - 1)(x + 9) = 0}[/tex]

[tex]\large\textsf{SET the FACTORS to EQUAL 0}[/tex]

[tex]\mathsf{x - 1 = 0 \ OR \ x + 9 = 0}[/tex]

[tex]\large\textsf{Simplify above and you have your answer to the question above (also}\\\large\textsf{known as the results for your x-values)}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 1 or x = -9}}}\huge\checkmark[/tex]


[tex]\large\textsf{But, your overall answer should be:}[/tex]

[tex]\huge\boxed{\textbf{ADD \underline{16} to both sides}}[/tex]

[tex]\large\textsf{Because, you had to break down x}\mathsf{^2}\large\textsf{ to (x + 4)(x + 4) or you could}\\\large\textsf{simply say (x + 2)}\mathsf{^2.}[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

x²+8x+9

We know

(a+b)²=a²+2ab+b²

To get 2ab satisfied

2ab=8x2x(b)=8xb=4b²=16

16 must be added on both sides to get (x+4)²

In a completely randomized design, experimental units were used for the first treatment, for the second treatment, and for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). If the answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total At a level of significance, is there a significant difference between the treatments? The -value is - Select your answer - What is your conclusion?

Answers

Answer: hello your question is poorly written attached below is the complete question

answer:

i) Degrees of freedom : 2, 46 , 44

ii) Mean square : 650 , 13.4

iii) F = 47.65

Step-by-step explanation:

First treatment = 12 experimental units

Second treatment = 15 experimental units

Third treatment = 20 experimental units

completing  the analysis

i) Degree of freedom

for Treatments = 3 - 1 = 2

for Total = ( 12 + 15 + 20 ) - 1 = 47 - 1 = 46

for error = 46 -2 = 44

ii) Mean square

  for treatments = sum of squares / degree of freedom = 1300/2 = 650

  for error = 600 / 44 = 13.64

iii) F

= Ms of treatment / Ms of error

= 650 / 13.64 = 47.65

There are 200 students in a particular graduate program at a state university. Of them, 110 are female and 125 are out-of-state students. Of the 110 females, 70 are out-of-state students. If two of these 200 students are selected at random, what is the probability that both of them are out-of-state students?

Answers

There’s a probability of five of them going out of state

A cộng b tất cả bình phương bằng bảo nhiêu

Answers

Answer:tôi chưa hiểu câu hỏi của bạn

Step-by-step explanation:

ANYONE KNOW THE ANSWER????

Answers

9514 1404 393

Answer:

  (c)  x = 10

Step-by-step explanation:

The diagonals of a square cross at right angles, so the measure of angle KNJ is 90°.

  90 = 10x -10

  100 = 10x . . . . . add 10

  10 = x . . . . . . . . divide by 10

The value of x is 10.

what is 72 Times 27 equal

Answers

Answer:

1,944

Step-by-step explanation:

72x27=1,944

Have a wonderful day or night

Answer

1944

Step-by-step explanation:

72*27 = 1944

the image above should clarify how you're actually supposed to do it! couldn't submit this without 20 characters :,)

If a line has an x-intercept at =
3 and a y-intercept at y = – 5, find its equation in the form
y = mx + b.
y

Answers

Answer:

y = 5/3x - 5

Step-by-step explanation:

y = mx + b

b = y-intercept

m = slope

y = mx - 5

plug in the x-intercept

0 = m(3) - 5

5 = 3m

m = 5/3

y = 5/3x - 5

graph is below, both intercepts are on the line

Find the image of (−3, 8) after a 270∘ rotation counterclockwise about the origin.

Answers

Answer:

(8, 3)

Step-by-step explanation:

For a 270° rotation, the rule is that (x, y) turns into (y, -x)

In (-3, 8), -3 represents x and 8 represents y.

Our answer is then (y, -x), or (8, 3)

milligrams would you administer?
17. How many milligrams of Rocephin are left in a vial containing
Rocephin 2 grams after 750 milligrams are removed?

Answers

Answer:

1250 miligrams.

Step-by-step explanation:

Simple conversion, 2 grams = 2000 miligrams - 750 milligrams = 1250 miligrams.

Plsssss help I’ll put you as a brainiest answer

Answers

Answer:

your answer would probably be 20 bc I times 5 then times 2 then I got 10. Then I did 10 X 2 and I got 20

WILL GIVE BRAINLIEST
15 POINTS
Determine how the triangles can be proven similar.

AA~
SSS~
SAS~
Not similar

Answers

AA~ as both the triangles are congruent because of vertically opposite angles and alternative interior angles .

Your manager is trying to determine what forecasting method to use. Based upon the following historical data, calculate the following forecast and specify what procedure you would utilize.MONTH DEMANDJanuary 59February 65March 65April 67May 71June 70July 77August 77September 77October 75November 83December 81Calculate the simple three-month moving average forecast for April through December. What is the forecast for December? (Round your answer to 2 decimal places)a) 78.33b) 74.67c) 76.33d) 77.00Calculate the weighted three-month moving average using weights of 0.50 (t-1), 0.30 (t-2), and 0.20 (t-3) for April through December. What is the forecast for December? (Round your answer to 2 decimal places)a) 79.40b) 77.00c) 76.00d) 73.70Calculate the single exponential smoothing forecast for February through December using an initial forecast (F1=F-January) of 63. (Use alpha of 0.2) What is the forecast for December? (Round your answer to 2 decimal places) a) 66.30b) 74.37c) 72.22d) 71.52Calculate the mean absolute deviation (MAD) for the forecasts made by each technique in April through December. Which forecasting method do you prefer? (Round your answer to 2 decimal places)a) 3-month moving average (4.15)b) 3-month weighted moving average (3.99)c) Exponential smoothing method (alpha=0.30) (3.58)d) 3-month weighted moving average (3.58)

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the attached file.

For question 1:

Forecast for December:

[tex]\to \frac{(77+75+83)}{3} \\\\ \to 78.33[/tex]

For question 2:

Forecast for December:

[tex]\to (77 \times .5+75 \times 3+83 \times .2) \\\\\to 79.40[/tex]

For question 3:

Forecast for December:

[tex]\to 72.22+(83-72.22)\times 0.2 \\\\\to 74.37[/tex]

For question 4:

So, the 3-month weighted moving average (3.58)

Can someone please answer this ASAP?

Answers

Answer:

Letter C

Step-by-step explanation:

Given:

[tex]5a+18<-27[/tex]

Subtract 18 from both sides

[tex]5a<-45[/tex]

Divide 5 from both sides to get [tex]a[/tex] alone

[tex]a<-9[/tex]

Letter C is the correct answer choice because the dot is at -9, the arrow is facing to the left, and the dot is open indicating that it's not greater/less than ""or equal to"".

Hope this is helpful

A father and his son decide to sum their ages. The sum is equal to sixty years. Six years ago, the age of the father was five times the age of his son. Six years the son's age will be?

I will mark as brainlist plzzzzz

Solve the question I know the answer but i cannot solve it..

I can tell you that ans is 16.8 years but solve...

Answers

Answer:

20

Step-by-step explanation:

Let father's age be x

let son's age be y

x + y = 60 - (eq 1)

Six years ago,

(x - 6) = 5(y - 6) -(eq 2)

From (1)

x = 60-y

Therefore, 60-y - 6= 5y - 30

y = 14

in six years, y = 20

what does $42,690e(0.03)(20)=​

Answers

Answer:

77,786.251

Step-by-step explanation:

The product of 7 ​, and a number increased by 8 ​, is 105. What is the​ number?

Answers

Answer:

97

Step-by-step explanation:

20 POINT MATH PROBLEM HELP PLEASE

Answers

Answer:

b. x=22

Step-by-step explanation:

3x-23=43

3x=43+23

3x=66

x=22

The volume of a sphere is 905 1/7 cm³ ? Determine its diameter
will give brainliest ​

Answers

Volume of the sphere = 4/3πr³

905 1/7 = 4/3*22/7*r³

6336/7 = 4/3*22/7*r³

r³ = (6336*7*3)/(4*22*7)

r³ = 133056/616

r³ = 216 

r = ∛216

r = 6 cm 

So, diameter = 6*2 = 12 cm

Surface area of the sphere = 4πr²

= 4*22/7*6*6

= 3168/7

Surface area of the sphere = 452.57 sq cm

Hope it helps.

COMPUTE THE PROBABILITY. If, in a typical work day, a staff member receives 34 emails, what is the probabilitythat in a 5-day work week she will receive less than 175 emails?​

Answers

The answer is A
I just took the test

f(x) = 4 - 2x – 2x3
g(x) = x² + 7x-9
Find f(x) + g(x).

Answers

Answer:

-2x^3+x^2+5x-5

Step-by-step explanation:

f(x) = 4 - 2x – 2x^3

g(x) = x² + 7x-9

f(x) + g(x)=4 - 2x – 2x^3+ x² + 7x-9

Combine like  terms

f(x) + g(x) = -2x^3+x^2+5x-5

Graph the following inequality. Then click to show the correct graph.


3x - 2y ≤ 6

Answers

Answer:

We want to graph the inequality:

3x - 2y ≤ 6

The first step is to write this as a linear equation, to do it, we can isolate y in one side of the inequality.

3x  ≤ 6 + 2y

3x - 6  ≤ 2y

(3/2)x  - 6/2  ≤ y

(3/2)x  - 3  ≤ y

or:

y ≥ (3/2)x  - 3

Because we have the symbol ≥

The points on the line are solutions, then the first part is to graph the line:

y = (3/2)*x - 3

Next, we have:

y equal to or larger than  (3/2)*x - 3

Then we need to shade all the region above that line.

The graph can be seen below.

To simplify 1/4(8)^2(12), Rémy wrote 2^2•12=48. Find and correct Remy’s error.

Answers

Answer:

work out 8^2 and then ×1/4

[tex] \frac{1}{4} (8)^{2} = 16 \: not \: 8[/tex]

therefore

[tex] \frac{1}{4} ({8})^{2} (12) = 192[/tex]

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