Three coffee and two muffins cost a total of 7 dollars. Two coffees and four muffins coast a total of 8 dollars. What is the individual price for a single coffee and a single muffin?

Answers

Answer 1

Step-by-step explanation:

Given,

3 coffee + 2 muffins = $7

and

2 coffees + 4 muffins = $8

let the coffee be x and muffins be y.

so now, we got

3x + 2y = $7 -----------(eqⁿ 1)

2x + 4y = $8 -------------(eqⁿ 2)

multiply (eqⁿ 1) by 2

we got,

2(3x + 2y = $7) = 6x + 4y = $14 -----(eqⁿ 3)

now, subtract (eqⁿ 2) from (eqⁿ 3)

we got,

(6x - 4y = $14) - (2x + 4y = $8)

we got,

4x = $6

x = 6/4 = $1.5

to get value of y put the value of x in eqⁿ2

we got,

2(1.5) + 4y = $8

3 + 4y = 8

4y = 8 - 3 = 5

y = 5/4 = $1.25

hence,

value of one coffee = $1.5

value of one muffin = $1.25

Hope this answer helps you dear! take care!.


Related Questions

how do you find the height of the base

Answers

Answer: the height of a triangle can be determined in many different ways depending on whether it's a right triangle, isosceles triangle (a triangle with two equal sides), or equilateral triangle.

Step-by-step explanation:

Step-by-step explanation:

The formula for the Area of a triangle is A = (1/2)bh where b is the base an h is the height. Since the triangle is a right triangle, the base and height are the two shorter sides

Help Asap I am stuck
suppose the value of an investment increases 12% per year and the investment has a current value of 33,00.00 which equation models the value of this investment after x years?

Answers

Answer:

bro pls someone hurry i need help

Step-by-step explanation:

Could someone answer this in y=mx+b form please i cannot figure this out 2x-y=4

Answers

Answer:

y = 2x - 4.

Step-by-step explanation:

2x - y = 4

Subtract 2x from both sides

- y = -2x + 4

Multiply both sides by -1:

y = 2x - 4.

Answer:

y=-2x+4

Step-by-step explanation:

2x-y=4  -  move the 2x to the right side by subtracting 2x from both sides

2x - y = 4

-2x       -2x =

-y=-2x+4  -   negative variable turns into y, since the negative isn't relevant

y=-2x+4

PLEASE HELP ASAP OF YOU DO FOD BLESS YOU BECAUSE IT WILL RAISE MY GRADE

Answers

Answer:

8

Step-by-step explanation:

The basic form of the equation is y=mx+b. The b stands for the y-intercept. In this equation, 8 is b due to its position in the equation, and -8/7 is m. Since we know that 8 is b and that b is the y-intercept, we know that 8 is the y-intercept.

Hope this helps!

Please find the surface area of the
Prism... I will mark you brainliest

Answers

Answer:

The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.

Step-by-step explanation:

Hope it's help

help please anybody which too are correct ​

Answers

the 1st and 2nd ones r correct

Step-by-step explanation:

hope this helps

PLEASE HELP AS SOON AS POSSIBLE I NEED TO SUBMIT THIS IN 10 MINUTES!!!!


IT GIVES 20 points!!!

Answers

Answer:

1. A. falling asleep

2. D. taking more time to wind down before bedtime

3. B. There is more than one reason that people have trouble sleeping.

4. C. The problem of falling asleep has been around for a long time and affects many people

5. A. why kids have trouble falling asleep and what they can do about it

6. A. something done over and over

Step-by-step explanation:

Which number line model represents the expression -\dfrac23+\left(-\dfrac13\right)−

3

2



+(−

3

1



)minus, start fraction, 2, divided by, 3, end fraction, plus, left parenthesis, minus, start fraction, 1, divided by, 3, end fraction, right parenthesis?

Choose 1 answer:

Answers

Answer:

: If you cut it in 2 equal-sized pieces and eat one, you have eaten ... whole number - you will get a fraction equivalent to 1/ 2

Answer:

XD yall all ways doing this to me so yall somthings don't give me the Answer

Step-by-step explanation:

3 In AABC, 2C = 90°, then which of the following is true? a) ABP = BCP + AC b) AC2 = AB? + BC2 c) BC2 = AB? + ACP d) AC = AB + BC ​

Answers

Answer:

a bit hard q

Step-by-step explanation:

becoz i am not good at algebra

I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY

Answers

Answer:

x=7

Step-by-step explanation:

by pythagoras, 25^2=24^2+x^2

solve for x

I need help correct answers plzz

Answers

Step-by-step explanation:

Pythagoras, Pythagoras, Pythagoras.

c² = a² + b²

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

that is something you should really burn into your brain for life. you will need that many times.

1.

89² = 80² + side²

side² = 89² - 80² = 1521

side = sqrt(1521) = 39 ft

2.

D

because here the x value of 2 has to different assigned result (y) values. but for a function it had to be exactly 1 value.

3.

the longer of the 2 given sides must be the Hypotenuse, because otherwise we would get a negative length.

97² - 72² = side² = 4225

sqrt(4225) = side = 65 cm

4.

the distance between 2 point is the Hypotenuse of a right-angled triangle, with its legs being the differences in x and y coordinates.

F = (-1, 6)

G = (3, 4)

FG² = (-1 - 3)² + (6 - 4)² = 16 + 4 = 20

FG = sqrt(20) = 4.472135955... ≈ 4.5

so, A is the right answer.

5.

that creates a right-angled triangle, with the flag pole and the distance on the floor to the flag pole as the legs, and the rope as Hypotenuse.

rope² = 53² + 28² = 3593

rope = sqrt(3593) ≈ 60 ft

6.

A

85² = 36² + 77²

7225 = 1296 + 5929 = 7225

correct. this is a right-angled triangle.

B

101² = 99² + 20²

10201 = 9801 + 400 = 10201

correct. this is a right-angled triangle.

C

123² = 120² + 27²

15129 = 14400 + 729 = 15129

correct. this is a right-angled triangle.

D

42² = 33² + 24²

1764 = 1089 + 576 = 1665

incorrect.

1764 - 567 = 1089 ?

1197 = 1089

also incorrect.

as is 1764 - 1089 = 567 and 1089 - 567 = 1764

so, this is not a right-angled triangle.

7.

the sum of all angles in a triangle (also in general triangles) is always 180 degrees.

since the right angle is already 90 degrees, it leave only 90 degrees for the other 2 angles.

A is the only correct option. 25 + 65 = 90.

8.

BC = 13

AC = 3

AB² = AC² + BC² = 3² + 13² = 9 + 169 = 178

AB = sqrt(178) = 13.34166406... meter

the tree was then originally

3 + 13.34166406... = 16.34166406... meter high

12.1.1

35² = 21² + side²

side² = 35² - 21² = 1225 - 441 = 784

side = sqrt(784) = 28 m

12.1.2

side² = 16² + 30² = 256 + 900 = 1156

side = sqrt(1156) = 34 ft

12.2.3

61² = 60² + 11²

3721 = 3600 + 121 = 3721

correct. this is a right-angled triangle.

12.2.4

40² = 37² + 9²

1600 = 1369 + 81 = 1450

incorrect. this is not a right-angled triangle.

neither is 1600 - 1369 = 81 nor 1600 - 81 = 1369 nor 1368 - 89 = 1600

12.2.5

38² = 35² + 15²

1444 = 1225 + 225 = 1450

incorrect. this is not a right-angled triangle.

neither is 1444-1225=225 nor 1444-225=1225 nor 1225-225 = 1444

12.2.6

53² = 45² + 28²

2809 = 2025 + 784 = 2809

correct. this is a right-angled triangle.

12.3.8

the x and y coordinate differences between A and B are 6 and 3.

AB² = 6² + 3² = 36 + 9 = 45

AB = sqrt(45) = 6.7

12.3.9

the x and y coordinate differences between B and C are 1 and 7.

BC² = 1² + 7² = 1 + 49 = 50

BC = sqrt(50) = 7.1

12.3.10

the x and y coordinate differences between A and C are 5 and 4.

AC² = 5² + 4² = 25 + 16 = 41

AC = sqrt(41) = 6.4

final question : you need that in many distance calculations, side lengths, diagonals, heights,... for rooms, yards, acres, buildings, mountains, ...

Andrew washed 32 car windows in 4 hours. At this rate, how many windows did he wash in 8 hours?

Answers

8 hours is twice as many as 4:

Multiply the number of windows in 4 hours by 2:

32 x 2 = 64 windows in 8 hours

Answer:

64

Step-by-step explanation:

32÷4=8 8 car windows per hour. 8×8=64

Employee: "We have a promotion that will allow us to beat our competitors' prices and save you money. Did you notice that our competitor is selling that same item for $150.00?
Customer: "Yes"
Employee: "Our price for that item is $120.00, for a savings of __________."10% 15% 20% 30% 40%

Answers

Answer:

20%

Step-by-step explanation:

120 / 150 = 0.8 or 80%, so the difference is 20%

The discount percentage is 20%.

Given that the competitor is selling an item for $ 150.00, while the price for that item in the store is $ 120.00, the following calculation must be performed to determine the discount percentage:

150 = 100 120 = X 120 x 100/150 = X 80 = X 100 - 80 = X 20 = X

Therefore, the discount percentage is 20%.

Learn more about maths in https://brainly.com/question/26075432

yeah I didn't pay attention today ​

Answers

Answer: 314.3

Explanation: multiply 449 by .30 and then subtract your solution of that to 449 and you will have your new sum

Which graph represents the function y= 2x – 4?
GIF
st
4
3
3
-3
...2
2+
2
1
+
-3 -2 -1
2
5 4 -3 -2 -1
2
3
-5 -4 -3 -2 -1
2
-2
-2
O

Answers

Answer:

4

Step-by-step explanation:

The graph of the function is attached in the solution.

What is graph?

A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.

Given is an equation, y = 2x-4, we need to determine its graph,

So, for the same, finding the coordinates,

y = 2x-4

Put x = 0

y = -4

(0, -4)

Put x = 1

y = -2

(1, -2)

Put the coordinates on the graph and the join them, the line obtained by this will represent the graph of the function given.

Hence. the graph of the function is a straight line.

Learn more about graphs, click;

https://brainly.com/question/17267403

#SPJ7

Plz help me! 25 POINTS!

Answers

Answer:

  g(x) = 24(2^(x-1)) +16

Step-by-step explanation:

A function is stretched vertically by a factor of 'a' by multiplying by 'a'.

  g(x) = 4·f(x) = 4(6(2^(x-1) +4)

  g(x) = 24(2^(x-1)) +16

help please
The serving size for a toddler’s daily vitamin C is 4/5 cup of orange juice. If there are 3 1/4 cups of orange juice, how many servings of vitamin C are there for a toddler? Show your work

Answers

Answer:

3

Step-by-step explanation:

First you change 2 1/4 into an improper which is 9/4. Then you do KFC(Keep Change Flip)  9/4 x  4/3=36/12.  THEN YOU SIMPLIFY=9/3,that can still be simplified so the final answer is 3.Its 3 because there are 3 wholes in 9/3.

Im so confused of what to do?
if you're good at maths please help
with steps​

Answers

Answer:

  you need to show the number is prime

Step-by-step explanation:

To show 2^7 -1 is prime, you have to show it is not divisible by any prime less than its square root. That root is approximately 2^(7/2) = 2^3×√2 ≈ 11.3.

The primes of in that range are 2, 3, 5, 7, 11. The prime we're testing is ...

  2^7 -1 = 128 -1 = 127

The sum of digits is 10, which is not a multiple of 3: not divisible by 3.

The units digit is 7, not 0 or 5: not divisible by 5.

The test for divisibility by 7 is to subtract twice the units digit from the rest of the number: 12 -2(7) = -2. This is not 0 or a multiple of 7, so 127 is not divisible by 7.

We know that 11² = 121, so 127 is not divisible by 11.

All of the tests for primality pass, so 2^7 -1 is a Mersenne prime.

_____

Additional comment

It is known that 2^n -1 being prime requires n to be prime. (The converse is not true: 2^11 -1 = 2047 = 23×89 is not prime.) The discovery of Mersenne primes is an ongoing process involving thousands of computers around the world. Only about 50 such primes are known.

You will notice that we have made use of some divisibility rules in order to simplify the process of dividing by small numbers. These can be helpful in many situations, so can be useful to learn.

56:32=k:28 what is k?

Answers

Answer: k = 49Step-by-step explanation:56:32=k:28 => 32k = 56 x 28=> 8k = 56 x 7=> k = 7 x 7=> k = 49Conclusion:

Therefore, k = 49.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Suppose f(x) = x. Find the graph of f(x) - 5

Answers

Answer:

it's the graph that touches the y-axis in the point (0, -5), and the x-axis in the point (5, 0)

Sleeper Class coaches of the Indian Railways have a seat numbering arrangement as shown
below. Each 'cubicle' seats 8 people as shown.
WINDOW SIDE
4
10
Middle
Seats
2.
6
3
AISLE (PASSAGE)
8
SIDE SEATS
7
Ramesh and his parents have 3 tickets and their seat numbers are 29, 30 and 31. What are their
seats?
A One aisle, one window, one middle seat.
B One middle, one aisle and one side seat.
C One aisle and two side seats
D Two side seats and one window seat

Answers

The answer is b I just took the test

The area of the rectangular floor of a shed is 40 space y d squared. The length of the shed is (x+2) yd and the width of the shed is (x-1) yd. Find the dimensions of the shed. Provide justification for each step. You can use the Sketch tool, or hand-write your algebraic proof, or type your answer. But you need to provide all the steps, with justification for each step, to get credit for this problem.

Answers

Answer:

x=3

Step-by-step explanation:

3 squared is 9. 9 plus 2 times 2=22 each of the sides on the angle are 11. 22 plus 22= 44. then 3 -1 equals 2. 44 minus 4 equals 40. equaling the area

If triangle ABC is congruent to DEF, then what side is congruent to BC?
A. FD

B. EF

C. ED

D. CA

Answers

Answer:

EF

Step-by-step explanation:

BC is the hypotenuse of the left triangle. The corresponding side on the right triangle would be EF.

Answer:

EF

Step-by-step explanation:

The corresponding side to BC is EF.

Look at the bolded letters

ABC DEF

notice the similarities?

Eight times a certain number plus ten is equal to twelve times the same number minus seven

Answers

The answer is: 8x+10=12x-7
So the number you are looking for is: -12x+8x=-7-10
-4x=-17
4x=17
The answer is 17/4 or 4.25

It takes Amy twice as long to deliver papers as it does Nancy. How long would it take each girl to deliver the papers by herself if they can deliver the papers together in 36 minutes?

Answers

Answer:

so if it takes twice all long for amy as nacy that means

Amy takes 2/3 or 0.6(aprox)

Nacy takes 1/3 or 0.3(aprox)

Amy=24

Nacy=12

Hope This Helps!!!

34x+24x^2=35+57y
Solve for x

Answers

1) Move all terms to one side.

[tex]34x+24x^{2} -35-57y=0[/tex]

2) Use Quadratic Formula.

[tex]x=\frac{-34+2\sqrt{1368y+1129} }{48} ,\frac{-34-2\sqrt{1368y+1129} }{48}[/tex]

3) Simplify solutions.

[tex]x=-\frac{17-\sqrt{1368y+1129} }{24} ,-\frac{17+\sqrt{1368y+1129} }{24}[/tex]

if x+y=10 and x-y =6 what is the answer of x cube - y cube fast​

Answers

Answer:

x+y=10 which means that x=10-y

Replace 10-y in the other equation which gives you:

10-y-y=6

10-2y=6

-2y=-4

y=2

Replace 2 in any of the 2 equations same answer for both:

x+y=10

x+2=10

x=8

So,

[tex] {x}^{3} - y^{3} [/tex]

[tex] = {8}^{3} - {2}^{3} [/tex]

=512-8

=504

Hope this helps!

which quadratic inequality does the graph below represent?
y> or equal to x^2-3.
y< or equal to x^2+3.
y< or equal to x^2-3.
y> or equal to x^2+3​

Answers

Answer:

y< or equal to x^2-3.

I hope it helps.

WILL GIVE BRAINLIEST
Select the graph of the solution. Click until the correct graph appears.



| x | = 2

Answers

Answer:

It is the second graph, the one with two filled in dots, but no line.

Step-by-step explanation:

The reason it is not the first one is because it has not filled in dots, AND no line, so it's basically saying there is no answer, which is not true.

The reason the third one (the one with a line) is wrong is because, for example, x cannot be 1, because 1 ≠ 2, and if there is a line, it should be true.

Answer:

its the awnser with the 2 not the -2

Step-by-step explanation:

Which angle is the largest?​

Answers

Answer:

the 4th choice

Step-by-step explanation:

hope this helps

MAy I get braineist pls????????

Other Questions
what is 7/8 x 4 ? ( 7/8 is a fraction) Dawn walks into a customer's office with her sales presentation planned and immediately recognizes that the customer is upset about something. In this situation, Dawn should Dawn walks into a customer's office with her sales presentation planned and immediately recognizes that the customer is upset about something. In this situation, Dawn should: a. maintain a happy and cheerful demeanor. b. sit down immediately and begin the presentation. c. All of the answers are correct. d. say something funny in an attempt to lighten the customer's mood. e. ask if she should come back some other time for the meeting. Describe what a continent is Learners with a _____ learning style prefer reading, writing, and speaking. naturalistic logical/mathematical verbal/linguistic none of the above Why doesn't the skater ever regain his potential energy? How is the New Mexico Bill of Rights different from the US Bill of Rights? What part of the microscope give us a sharper image?amicro or fine focusmacro focuslight sourceon/off button Help help pelsss I need to pass thanks Ill give points for honestly Who were the critics of the First New Deal, and what were their criticisms? Which is correct? I wanna make sure im right In the equation 9.55 1.10 = 10.505, what are the factors? A. 9.55 and 10.505 C. 9.55 and 10.505 B. 1.10 and 10.505 D. 9.55 and 1.10 Help me out please??? A planet has a circular orbit around a star. It is a distance of 65,000,000 km from the centre of the star. It orbits at an average speed of 65,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf. -8 Find the slope of the line y = -8/2x+1/5 Simplify your answer and write it as a proper fraction, improper fraction, or integer. What is the solution to the system of equations? y = -2x 6 4x - y = -36A (15, 24) B (-7, 8)C (-5, 4) what can you conclude about gregor mendel from the information presented in the movie? what is the difference between christianity and catholicism? The Brooklyn Bridge16. The Brooklyn Bridge helps people travel from Brooklyn to Manhattan acrossthe East River. Which Theme of Geography would you use for this topic?A. LocationB. Human-Environment InteractionC. PlaceD. RegionE. Movement can someone help me with this asap, please and thank you (pic attached) *math* haun wants to enter the science fair at his school. he has a list of ideas for his project. which questions could be answered through scientific investigations. check all that apply