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

Answers

Answer 1

Answer:

Cost of a coffee = $1.5

Cost of a muffin = $1.25

Step-by-step explanation:

Given:

Cost of 3 coffee and 2 muffins = $7

Cost of 2 coffee and 4 muffins = $8

Find:

Cost of each

Computation:

Assume;

Cost of a coffee = a

Cost of a muffin = b

So,

3a + 2b = 7 .......... Eq1

2a + 4b = 8 .......... Eq2

Eq1 x 2

6a + 4b = 14 ......... Eq3

From Eq3 - Eq2

4a = 6

a = 1.5

Cost of a coffee = $1.5

3a + 2b = 7

3(1.5) + 2b = 7

4.5 + 2b = 7

b = 2.5/2

b = 1.25

Cost of a muffin = $1.25


Related Questions

Can someone help me with this? Please and thank you!

Answers

Answer:

She should find the squares between 4.2 and 4.3

Step-by-step explanation:

The square of 4.2 was too low and the square for 4.3 was too high so the answer is between the two.

any one got reddit
mine is u/RealAd8482

Answers

I use to have reddit sorry

Answer:

Yes

Step-by-step explanation:

Mines is u/Brown_Bear17

A teacher buys 2 boxes of glue sticks . Each box has 8 glue sticks . She puts all the glue sticks in 4 baskets . Each basket has the same number of glue sticks. How many glue sticks are there in each basket ?

Answers

Answer:

4

Step-by-step explanation:

2x8=16

16 divided by 4 = 4

On the interval 0° < 0 < 380°, how many values of 0 satisfy the equation 2 cos0 + cos 0 - 1 = 0?

Answers

Answer:b

Step-by-step explanation:

please help lolz ty besties

Answers

24 players / B so the answer can be right

find the value of x.

Answers

Use triangle calculator

Please Help! 100 Points to whoever does!

Answers

Answer:

cross multiply

(3+2) 10^3==

5*10^3

Write the function
F(x)= 5x^2+10x+16 in standard form

Answers

Answer:

[tex]f(x) = 5x^2 + 10x + 16[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5x^2 + 10x + 16[/tex]

Required

Write in standard form

The standard form of a quadratic function is:

[tex]f(x) = ax^2 + bx + c[/tex]

This implies that: [tex]f(x) = 5x^2 + 10x + 16[/tex] is already in standard form

Teresa has $3.60 in quarters and nickels. If she has 36 coins total, the number of quarters multiplied by the number of nickels is equal to what number?​

Answers

9514 1404 393

Answer:

  243

Step-by-step explanation:

Let q represent the number of quarters. Then (36-q) is the number of nickels. The total value of the coins is ...

  0.25q + 0.05(36 -q) = 3.60

  0.20q = 1.80 . . . . . . . . . . . . . simplify, subtract 1.80

  q = 9 . . . . . . . . . . . . . . . divide by 0.20

  36 -q = 36 -9 = 27 . . . . the number of nickels

The product of the number of quarters and the number of nickels is ...

  (9)(27) = 243 . . . the product of interest

9(w+9)=___w+____
plsss answer

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]9w + 81[/tex]

»»————- ★ ————-««  

Here’s why:

We are given the expression of:

[tex]9(w+9)[/tex]

To simplify this, we would have to use the distributive property.

⸻⸻⸻⸻

[tex]\boxed{\text{Distributive Property}}\\\\a(b+c)=ab+ac\\\\\text{A, B, and C are real numbers.}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the expression given:}}\\\\9(w+9)\\-------\\\rightarrow9(w+9)\\-------\\\text{Distribute 9 into 'w+9'.}\\\\9 * w=9w\\\\9*9=81\\\\------\\\text{Therefore:}\\\\9(w+9)=\boxed{9w+81}[/tex]

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

The set of all numbers on a number line are called?

Answers

Answer:

This second number line is called an integer number line, since integers are the set of numbers including all whole numbers and their negative opposites. Two opposite numbers are the same distance from zero on the number line, but on opposite sides. For example, 3 and -3 are opposites.

Step-by-step explanation:

I hope it's help u

Mr. Assan had 492 tickets left after the movie. He started with 2,009 tickets. How many tickets did Mr. Assan sell?

Answers

Answer:

1,517

Step-by-step explanation:

2,009 - 492 = 1,517

2,009-492=1,575
He started out with 2,009 he had 492 left over so subtract that from the amount he started out with and you get the answer

Can someone help me please?

Answers

Answer:

d

Step-by-step explanation:

linear function

The living room in a new house has the dimensions shown. What is the volume of the room?

Answers

Answer:

v = 220 yd²

Step-by-step explanation:

Small portion

v = 5 * 4 * 3

v = 60 yd²

Large portion

v = 9 * 6 * 3

v = 162 yd²

Total

v = 60 + 162

v = 220 yd²

5 -3 over 2 x > 1 over 3

Answers

5-3/2 (1/3)

2/2=1
1*1/3 is 1/3

The answer is 1/3.

If helped mark me the brainiest

Answer:

It's true because 5-3/2 is grater than 1/3

What is the exact value of tan 75 degrees

Answers

Answer: 56?

Step-by-step explanation:

what would be the value of y in the equation 2y + 7 = 7

Answers

y=0

Schools almost out, good luck!!

hhhhhhhhelpp meeeeeee

Answers

Answer:

with what?

Step-by-step explanation:

0.009 divided by 0.001

Answers

Answer:

9

Step-by-step explanation:

0.001 · 9 = 0.009

It’s 9 the answer is 9

The probability that a battery will last 10 hours or more is 80%, but the probability that a battery will last 15 hours or more is only 15%. What is the probability that a battery will last 15 hours or more given that it has lasted 10 hours or more

Answers

Answer:

0.1875 = 18.75% probability that a battery will last 15 hours or more given that it has lasted 10 hours or more.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Lasting 10 hours or more.

Event B: Lasting 15 hours or more.

The probability that a battery will last 10 hours or more is 80%.

This means that [tex]P(A) = 0.8[/tex]

Probability of lasting 10 hours or more and 15 hours or more.

This is the probability of lasting 15 hours or more(if it has lasted 15 or more, it has lasted 10 or more).

The probability that a battery will last 15 hours or more is only 15%, which means that [tex]P(A \cap B) = 0.15[/tex]

What is the probability that a battery will last 15 hours or more given that it has lasted 10 hours or more?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.8} = 0.1875[/tex]

0.1875 = 18.75% probability that a battery will last 15 hours or more given that it has lasted 10 hours or more.

You have inherited land that was purchased for $25,000 in 1970. The value of the land has appreciated by
approximately 4% per year. What was the value of the land in the year 2000?
(a) Write the exponential function for this scenario:
(b) What was the value of the land in the year 2000? Round to the nearest whole dollar.
A. $750,000
B. $605,035,808
C. $81,084
D. $7,346

Answers

Answer:

Future value of land = 25,000[1.04]³⁰

Future value of land = $81,084 (Approx.)

Step-by-step explanation:

Given:

Purchase cost of land in 1970 = $25,000

Application rate = 4% per year

Find:

Price of land in 2000

Computation:

Number of year = 2000 - 1970 = 30 year

Future value of land = [Purchase cost of land][1+Application rate]ⁿ

F = P[1+r]ⁿ

Future value of land = 25,000[1+4%]³⁰

Future value of land = 25,000[1+0.04]³⁰

Future value of land = 25,000[1.04]³⁰

Future value of land = 25,000[3.24339]

Future value of land = 81,084.75

Future value of land = $81,084 (Approx.)

Volume of Prisms and Cylinders

a. 339.12 cu. in.
b. 113.04 cu. in
c. 226.08 cu. in.
d. 1356.48 cu. in

Please select the best answer from choices provided

Answers

Answer:

A. 339.12 cu. in.

Step-by-step explanation:

I calculated it logically

What is the name of this poligon?

A. Rhombus

B. trapezoid

C. rectangle

D. Square

Answers

Answer:

the correct answer is A. Rhombus

The answer is D (Square)

Because the sides of a square are equal.

Similar Triangles

You are visiting the Unisphere at Flushing Meadow Park in New York. To estimate the height of the stainless steel model of Earth, you place a mirror on the ground and stand where you can see the top of the model in the mirror. The Unisphere is 100 feet from the mirror and you are standing 4 feet from the mirror. If your height is 5.6 feet, what is the estimated height of the Unisphere? The diagram is not drawn to scale.

a. 140 feet
b. 22.4 feet
c. 2,240 feet
d. 71 feet

Please select the best answer from the choices provided

Answers

Answer:

A. 140 feet

Step-by-step explanation:

I calculated it logically

Two numbers are in the ratio 5:6. If the smaller one is decreased by 5 and
the other is increased by 3, the new ratio is 2:3. Find the number.​

Answers

Answer:

Smallest Number = 35

Other Number  = 42

Step-by-step explanation:

Let the smaller number be x.

Let the other number be y.

Given:

x : y = 5 : 6

That is,

          [tex]\frac{x}{y} = \frac{5}{6}[/tex]

             [tex]=> 5y = 6x\\\\=>x = \frac{5y}{6}[/tex]

Next: Let the smaller number be reduced by 5, x - 5

        Let the other number be increased by 3, y + 3

Given : (x - 5) : (y + 3) = 2 : 3

That is,

        [tex]\frac{x-5}{y+3} = \frac{2}{3}\\[/tex]

[tex](x-5) \times 3 = (y+3)\times 2\\\\substitute \ x = \frac{5y}{6}\\\\3(\frac{5y}{6} -5) = 2y + 6\\\\\frac{5y}{2} - 15 = 2y + 6\\\\\frac{5y}{2} - 2y = 6 + 15\\\\\frac{5y-4y}{2} = 21\\\\y = 21 \times 2 = 42\\\\Substitute \ y \ in \ x = \frac{5y}{6} \\\\x = \frac{5 \times 42}{6} = 35[/tex]

Find the slope of the line to the right. ​

Answers

9514 1404 393

Answer:

  -3/2

Step-by-step explanation:

Points are marked 2 units apart on the x-axis. Between a given point and the one to its right, the y-value changes by -3. The slope is ...

  slope = rise/run = (change in y)/(change in x)

  slope = -3/2

If it takes 8 people to build a shed in 6 days, how long will it take 12 people?

Answers

Answer:

Step-by-step explanation:You can dowly/3fcEdSxnload the ans[tex]^{}[/tex]wer here. Link below!

bit.[tex]^{}[/tex]

Answer:

4 days

Step-by-step explanation:

(8×6)/12 = 48/12 = 4

Topic Test

Find the surface area of a rectangular prism.

a. 2468 sq. ft.
b. 6240 sq. ft.
c. 1234 sq. ft.
d. 1844 sq. ft.

Please select the best answer from choices provided

Answers

Answer:

A. 2468 sq. ft.

Step-by-step explanation:

I calculated it logically

The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. The study included 144 residents whose mean number of pounds of trash generated per person per week was 34.5 pounds and the standard deviation was 7.9 pounds. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a

Answers

Answer:

32.966 ; 36.034)

Step-by-step explanation:

Given :

Sample size , n = 144

Mean, x = 34.5

Standard deviation = 7.9

The confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/√n

Zcritical at 98% = 2.33

Margin of Error = 2.33 * 7.9/√144 = 1.534

Lower boundary = 34.5 - 1.534 = 32.966

Upper boundary = 34.5 + 1.534 = 36.034

(32.966 ; 36.034)

Multiply 3 1/3 x 1 1/7
write the answer in simplest form.

Answers

3 1/3 • 11/7= 3 17/21
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