On the first day of a two-day meeting, 10 coffees and 10 doughnuts were purchased for a total of $20.00. Since nobody drank the coffee and all the doughnuts were eaten, the next day only 2 coffees and 14 doughnuts were purchased for a total of $13.00. How much did each coffee and each doughnut cost?

Answers

Answer 1

Answer:

1.25 dollars- the value of each coffee

0.75 dollars- the value of each doughnut

Step-by-step explanation:

Suppose that value of one coffee is x dollars, when one doughnut costs y dollars. The value o 10 coffee is 10x, when 10 doughnuts cost 10y. The sum is 10x+10y and it is 20.

10x+10y= 20 (we can divide each part by 10)

x+y=2

2coffee cost  2x, 14 doughnuts cost 14y

2x+14y=13 (it can be divided by two)

x+7y=6.5

We have the system of equations x+y=2,  x+7y=6.5

Subtract the first equation from the second one (the left side of the first equation from the left side

x+7y - (x+y)= 6.5-2

6y=4.5

y=4.5/6= 3/4 = 0.75 dollars- the value of each doughnut

x=2-0.75=1.25 dollars- the value of each coffee


Related Questions

is f(x)=sqrt{x}+3x an exponential function?

Answers

No, because in order to have an exponential function the value ‘e’ should be raised to a value of x. Since ‘e’ is not in this function, is is not an exponential function

what is the volume of a hempisphere with a radius of 9.7 cm rounded to the nearest 10th of a cubic centimeter

Answers

Answer:

volume of hemisphere =1912.26cm^3

Step-by-step explanation:

Find the greatest common factor of 65a3b4 and 39a4b5.

Answers

Step-by-step explanation: Let's begin by finding the

greatest common factor for the numbers 65 and 39.

I would make a factor tree and break up 65 and 39.

So 65 is 13 x 5 and 39 is 13 x 3.

Since the 13's match up, the greatest

common factor between 65 and 39 is 13.

For the variables, we use the smallest power on each of them.

So we use a^3 and b^4 to get 13a^3b^4 as our GCF.

Graphs of the following equations are straight lines except :
A. 3x+2y=8
B. y=x/2-5
C. x=4y
D. y=x^2+3

Answers

Answer:

D.

Step-by-step explanation:

D. This contains an x^2 and is called a parabola ( curved line like a U).

Answer:D

Step-by-step explanation: d is the correct answer

Evaluate each expression if r = 3,q = 1, and W =-2

Answers

Answer:

2) - 12

3) - 1

4)y = 8

5)r = 4

6)x= -7/29

Hope it helps you

PLS HELP! VERY URGENT PICTURE INCLUDED!!

Answers

Answer:

y = 6x ^2 - 6x + 9

Step-by-step explanation:

hopefully it's visible

:)

Một doanh nghiệp trong thị trường cạnh tranh hoàn hảo có hàm tổng chi phí TC=100q2+50q+9. Giá và sản lượng đóng cửa của doanh nghiệp này là

Answers

I do not speak this language, could you translate it to English

Angelique travels 75 miles. Jamila travels 115 kilometres. Show that Angelique has travelled futher than Jamila.

Answers

Answer:

Angelique has traveled further than Jamila by about 6 km.

Step-by-step explanation:

Make them the same unit (I will make them both kilometers)

There is about 1.609 km in 1 mile

75 miles * 1.609 km/1 mile = 120.675

120.675 km>115 km

Which expression is equivalent to the following complex fraction?

Answers

Answer:

The correct choice is option B. y+1/y-1

Step-by-step explanation:

solve for x ! please help (show work)

Answers

Answer:

x = 1/2

Step-by-step explanation:

8(-2x+1) =0

Divide each side by 8

-2x+1 = 0

Add 2x to each side

-2x+1+2x = 2x

1 = 2x

Divide by 2

1/2 = 2x/2

1/2 =x

Answer:

1/2

Step-by-step explanation:

8(-2x+1)=0

Use distributive property first

-16x+8=0

Subtract 8 on both sides

-16x=-8

Divide both sides by -16 to get x by itself

x=0.5

Which is also equal to 1/2

Therefore, x is equal to 1/2

What is the 21st term of the sequence with a1 = -6 and d = 4?

a) 70
b) 74
c) -40
d) 78

Answers

Answer:

74

Step-by-step explanation:

for this question you have to use the formula of the nth term which is Tn=a+(n-1)d,

T21=-6+(21-1)4

=-6+(20)4

=-6+80

=74

I hope this helps

State two similarities and one difference between the graphs of f(x)= 3^x and g (x)= (1/3) ^x

Answers

Answer: the similarities is that they both intercepted at one point (0,1) and the difference is that f(x) is reaching positive infinity but g(x) is reaching negative infinity.

Any number that CAN be divided by 2 without having remainder is considered an _______ number

Answers

Step-by-step explanation:

Any number that can be divided by 2 without having remainder is considered an even number.

I hope it helped U

stay safe stay happy

through how many degrees does the hour hand of a clock move in 10 hours

Answers

Answer:

120 degrees move in 10 hours

Consider the function f(x) = square root of x+3
a. In your own words, explain the meaning of f'(2).
b. Now using mathematical notation, write f'(2) as a limit.

(Plz hurry and help meee)

Answers

Step-by-step explanation:

f'(x) is usually used in calculus to denote the first derivative of f(x) so f'(2) will simply be the first derivative of f(2).

f(x)=x+3

f'(x)=1

thus x does affect the first derivative and your answer for f'(x)=1

Please help brainliest will be given

Complete the equation describing how
x and y are related.
x
-1
5
0 1 2 3 4
3 8
V 2
13
18
23
28
y = 5x + [?]
Enter the answer that belongs in [?].

Answers

Answer:

y = 5x + 3

Step-by-step explanation:

When x = 0 y = 3 so the y-intercept will be 3

And the equation is y = 5x + 3 where the slope is 5

Find the product: 12 x 3/5 =

Answers

Answer:

12 x 3/5 = 7 1/5

Step-by-step explanation:

12 x 3/5

Add 1 below 12 as a denominator to make it an improper fraction

= 12/1 x 3/5

Multiply numerators from both fractions as long as the denominators:

12 x 3 = 36

1 x 5 = 5

12/1 x 3/5 = 36/5

36/5 SIMPLIFIED IS 7 1/5

Hope this helps!

Answer:

36/5 = 7.2 = 7 1/5

Step-by-step explanation:

12 x 3/5

Change 12 into fraction form to make it easier.

12/1 x 3/5

Now multiply the numerators and the denominators.

12 x 3 = 36

1 x 5 = 5

12/1 x 3/5 = 36/5

If you don't want the answer as an improper fraction, 36/5 = 7.2 which is also equal to 7 1/5

I need help please anyone ?????!!!

Answers

answer:

2 on the picture is the amplitude



7. When running you discover you are only in second place. You were initially running at a speed of 18 km/h and
increase your speed to 21 km/h. It takes you 3 seconds to speed up to your new rate. What is your
acceleration

Answers

Step-by-step explanation:

check it out.

Hope it helps.

Hope you understood this. If not plz let me know.

In order to encourage pema to do her mathematics problems, her dad promise to pay Nu 5 for every problem She gets right, but he would take away Nu 3 for any moblem she missed. After working 20 problems, Pema was paid Nu 6o. How many problems did she solve correctly?​

Answers

The solution to he word problem leading to simultaneous equation is as follows;

The number of problems Pema is able to solve correctly is 15 problems

The method by which we arrived at the above value is as follows:

The given parameters of the question are;

Amount Pema's dad promise to pay her for every problem she gets right = Nu 5

Amount he would take away for any problem missed = Nu 3 (Therefore, Nu -3)

Amount Pema was paid after working 20 problems = Nu 60

Solution;

Let x represent the number of problems she gets right (solves correctly), and let y represent the number of problems she missed, we have the following system of (simultaneous) equations;

x + y = 20...(1)

5·x - 3·y = 60...(2)

Multiplying equation (1) by 3 and adding the result to equation (2) gives;

3 × (x + y = 20) 3·x + 3·y = 60

[tex]{}[/tex]   5·x - 3·y = 60

+ 3·x + 3·y = 60

  [tex]{}[/tex]8·x + 0 = 120

x = 120/8 = 15

x = 15

The number of problems she solves correctly, x = 15

Learn more about word problem leading to simultaneous equations here;

https://brainly.com/question/14294864

Simplify the equation
(X 2/5) 10

Answers

Answer:

x^4

Step-by-step explanation:

x^(2/5) ^10

We know that a^b^c = a^(b*c)

x^(2/5*10)

x^4

Answer:

[tex]{x}^{4} [/tex]

Step-by-step explanation:

[tex] ({x}^{ \frac{2}{5} } ) ^{10} \\ {x}^{ \frac{2}{5} \times 10} \\ {x}^{ \frac{20}{5} } \\ {x}^{4} [/tex]

Jua Kali Products Ltd has been in operation for the last 10 years. Its annual revenue and cost functions take form of quadratic functions. The following data was obtained from the records of the company. Year 2017 2018 2019 Units produced and sold (000) 5 10 15 Revenue (sh000) 1900 3600 5100 Cost (sh000) 7525 7100 6725 Required: The revenue and cost functions (10 marks) The breakeven number of units (5 marks)​

Answers

Answer:

Step-by-step explanation:

vxcvxcvxcvxcvxcvcxvxcbcvbcvnxcgjfgjfgjghjghjghjghj

The revenue function is y₁ = –4x² + 400x, the cost function is y₁ = x² – 100x + 8000, and the break-even number of units is 20 or 80.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

Jua Kali Products Ltd has been in operation for the last 10 years.

Its annual revenue and cost functions take the form of quadratic functions.

The following data was obtained from the records of the company.

Year          Unit Sold            Revenue             Cost

2017              5                        1900                 7525

2018             10                       3600                7100

2019             15                        5100                6725

We know that the quadratic equation is given as

[tex]\rm y = ax^2 + bx + c[/tex]

Let y₁ be the revenue function, y₂ be the cost function and x be the unis sold.

Then the revenue function will be

1900 = 25a + 5b + c  ...i

3600 = 100a + 10b + c  ...ii

5100 = 225a + 15b + c  ...iii

From equations (i), (ii), and (iii), we have

a = –4, b = 400, and c = 0

Then the revenue function will be

y₁ = –4x² + 400x

Similarly, the cost function will be

7525 = 25a + 5b + c  ...1

7100 = 100a + 10b + c  ...2

6725 = 225a + 15b + c  ...3

From equations 1, 2, and 3, we have

a = 1, b = –100, and c = 8000

Then the cost function will be

y₁ = x² – 100x + 8000

For the break-even units, the cost function and the revenue function will be equal. Then we have

[tex]\begin{aligned} x^2 -100x + 8000 &= -4x^2 + 400x\\\\5x^2 -500x + 8000 &= 0\\\\x^2 - 100x + 1600 &= 0\\\\x^2 - 80 x - 20x + 1600 &= 0\\\\x(x-80) - 20 (x-80) &= 0\\\\(x-80)(x-20) &= 0\\\\x &= 20, 80 \end{aligned}[/tex]

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

Graph the equation
y = 5x
Use the graphing tool to graph the line.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

You want a line that goes through (0, 0) and has a slope of 5. That means it will also go through (1, 5) and (2, 10), for example. I like the attached graphing tool because it will draw the graph directly from the equation.

What is the wavelength of light with 5.53 x 10-19 J of energy? (The speed of
light in a vacuum is 3.00 x 10 m/s, and Planck's constant is 6.626 10-34
J•s.)
A. 399 nm
B. 278 nm
C. 250 nm
D. 359 nm

Answers

Answer:

D. 359 nm

[tex]{ \boxed{ \bf{ energy = \frac{hc}{ \lambda} }}} [/tex]

lambda is the wavelength

c is the speed of light

h is the Planck's constant

[tex]{ \sf{5.53 \times {10}^{ - 19} = \frac{(6.626 \times {10}^{ - 34}) \times (3.00 \times { {10}^{8} }) }{ \lambda} }} \\ \\ { \sf{\lambda = 3.59 \times {10}^{ - 7} }} \\ { \sf{\lambda = 359 \: nm}}[/tex]

The ray EG is the angle bisector of DEF and m DEF = 84º.
Find mDEG.
mDEG =
degrees

Answers

42 degrees. Since the Ray is the angle bisector, that means it divides angle DEF into two angles with equal measure. So, divide 84 by 2 to get 42.

Simplify (6z-4y+2x)+(3z-5x+2y)

Answers

Answer:

9z-2y-3x

Step-by-step explanation:

(6z-4y+2x)+(3z-5x+2y)

Combine like terms

6z+3z-4y+2y+2x-5x

9z-2y-3x

Answer:

-3x - 2y + 9z

Step-by-step explanation:

Since you are adding two polynomials, the parentheses are unnecessary, so you can just drop them. Then combine like terms. Like terms are terms that have the same variable part such as 6z and 3z.

(6z - 4y + 2x) + (3z - 5x + 2y) =             Original problem.

= 6z - 4y + 2x + 3z - 5x + 2y                 Drop unnecessary parentheses.

= 2x - 5x - 4y + 2y + 6z + 3z                 Rearrange terms to group like terms.

= -3x - 2y + 9z                                        Combine each set of like terms.

Answer: -3x - 2y + 9z

Change the following to percentages:
a) 83 out of 100
b) 24 out of 50
c) 9 out of 25
d) 7 out of 20
e) 6 out of 10
f)72 out of 200
g)12 out of 40
h)36 out of 60

Answers

Answer:

a.83%

b. 48%

c.36%

d.35%

e.69%

f.36%

g.30%

h.69%

A multiple-choice test has 7 questions, with 4 possible answers for each
question. If a student were to guess the answer to each question, how many
different ways would there be to answer the test?

Answers

Answer:

16384

Step-by-step explanation:

4×4×4×4×4×4×4

= 4

= 16384 ways

7 answers can be answered by guessing in 4⁷ ways.

What are permutation and combination?

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, A multiple-choice test has 7 questions, with 4 possible answers for each question.

Now the first question can be guessed in 4 different ways.

Similarly, 7 answers can be answered by guessing in 4⁷ ways.

= 16,384.

learn more about permutation and combination here :

https://brainly.com/question/28720645

#SPJ2

(x
3
+y
3
)(xy
4
+7)

Answers

Answer:

question is not proper

Step-by-step explanation:

question is

HELP!!!!! ASAP I'm getting confused and It's to long to solve it online!

Answers

Answer:

Step-by-step explanation:

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