Mohamed and Miguel go to the movie theater and purchase refreshments for their friends. Mohamed spends a total of $18.25 on two bags of popcorn and three
drinks. Miguel spends a total of $27.50 for four bags of popcorn and two drinks.
a) Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.
b) Using your system from part a), determine and state the price of one bag of popcorn and the price of one drink.

Answers

Answer 1
If p is the price of a bag of popcorn and d is the price of a drink
2p + 3d = 18.25 Mohamed’s order
4p + 2d = 27.50 Miguel’s order
If we double the first equation
4p + 6d = 36.50
Now subtract the second equation (find the difference between them)
4d = 9.00
d = 2.25
Substitute in the first equation
2p + 3 x 2.25 = 18.25
2p = 18.25 - 6.75 = 11.50
p = 11.50 / 2 = 5.75

Popcorn was $5.75 a bag and drinks were $2.25 each

Related Questions

Eeeeeeeeeeeeeeeweeeeeeeeeeeeeeeeee

Answers

This is a rational number due to the negative in front of the ratio

Tori is cutting fabric squares to make a quilt. Her squares on average are 5 in. on each side with a standard deviation of 0.1 in. If her cuts are normally distributed, what percentage of her squares would be between 4.9 and 5.1 in?

Answers

Answer:

[tex]\approx 68\%[/tex]

Step-by-step explanation:

For normal distributions only, all data falls within approximately 68% of one standard deviation, 95% of two standard deviations, and close to 100% of three standard deviations. The standard deviation is far too small to represent two or three standard deviations, hence [tex]\implies \boxed{68\%}[/tex].

*Important: This problem would be unsolvable if the question did not say her cuts were normally distributed, because the information above is only applicable to normal distributions.

Answer:

68.26%

Step-by-step explanation:

Given:

Mean μ = 5 inStandard deviation σ = 0.1 in

The squares between 4.9 and 5.1 represent:

x = 5 ± 0.1

Relevant z- scores are:

z = (x - μ)/σz = (5.1 - 5)/0.1 = 1z = (4.9 - 5)/0.1 = -1

From the z-score table we get:

z = 1 ⇒ 84.13% markz = -1 ⇒ 15.87% mark

The data between these points is:

84.13% - 15.87% = 68.26%

What is the product of (a+b) (a-b)

Answers

Answer:

[tex]a^{2}+b^{2}[/tex]

Step-by-step explanation:

(a+b)(a-b)

[tex]a^{2}[/tex]-ab+ab-[tex]b^{2}[/tex]

[tex]a^{2} + b^{2}[/tex]

Find mean, median, mode, range

Answers

Answer:

Range = 30

Mode = 80

Median = 90

mean = 87

what is the examole of equal set ? ​

Answers

Answer:

Two sets are equal, if they have exactly the same elements. Example: {a, c, t} = {c, a, t} = {t, a, c}, but {a, c, t} ≠ {a, c, t, o, r}. Example: {x : x is a letter in the word “book”} = {b, o, k}, but {b, o, k} ≠ {b, o, t}.

Step-by-step explanation:

A right rectangular prism has a square base and a height of 4 feet. Its volume, V, is 16 cubic feet. What are the lengths of the sides of the base?
A. 2 ft.
B. 4 ft.
C. 8 ft.
D. 16 ft.​

Answers

The lengths of the sides of the base are 2 ft

This is because the volume is the base times the height
if you take the volume and divide it by the height than you get 4, which means the area of the base is 4
This means that when you multiply the side lengths together you should get 4 and since you know the base is a square (so both sides are the same length) the answer is 2

PLEASE HELP I’LL GIVE BRAINLIEST

What is the slope of the line shown below?
10+
(-6, 3) 5+
(12,6)
15
-10-
o A. - 1
O B. 6
O C.-6
OD

Answers

Answer:

B

Step-by-step explanation:

B

Answer:

the most likely answer is D 1/6

Step-by-step explanation:

Im not 100% sure

but hope this help if so can you mark me brainiest

thank you

In parallelogram HJKL if m∡KLH=125∘find m∡LHJ.

Answers

Answer:

∠ LHJ = 55°

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180° , so

∠ LHJ + ∠ KLH = 180° , that is

∠ LHJ + 125° = 180° ( subtract 125° from both sides )

∠ LHJ = 55°

Please show me 3+2 (2x - 4) and can you please show the work?

Answers

Answer:

4x -5

Step-by-step explanation:

3+2 (2x - 4)

Distribute

3 + 2*2x - 2*4

3+4x - 8

Combine like terms

4x +3-8

4x -5

Answer:

4x - 5

Step-by-step explanation:

3+ 2 (2x) + 2 (-4)

3+4x - 8

Which dot plot shows 3 students purchased 4 books at the book fair? A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 0 dots, 3 has 3 dots, 4 has 4 dots, and 5 has 2 dots. A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 1 dot, 2 has 3 dots, 3 has 4 dots, 4 has 2 dots, and 5 has 2 dots. A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 2 dots, 3 has 3 dots, 4 has 3 dots, and 5 has 1 dot.

Answers

Answer:

A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 2 dots, 3 has 3 dots, 4 has 3 dots, and 5 has 1 dot.

Step-by-step explanation:

The title given to a boxplot will be the values labeled on the horizontal axis, hence since the title of the plot is the number of books purchased at a book fair, If 3 students purchased 4 books, then the Horizontal label at 4 (number of books purchased) will have 3 dots (which corresponds to the number of students who purchased 4 books).

please help me with this question. find the exact circumference of the circle using the given inscribed polygon please help me​

Answers

53,38

Step-by-step explanation:

x = √15² + 8²

x = √225 + 64

x = √289

x = 17

circle's circumference = π × d

3,14 × 17 = 53,38

Find the H.C.F of the following expressions.
1) 16x⁴ - 4x² - 4x - 1 , 8x³ - 1

2) 9x² - 4y² - 8yz - 4z² , 4z² - 4y² - 9x² - 12xy , 9x² + 12xz + 4z² - 4y²

3) x² - 18x - 19 + 20y - y² , x² + x - y² + y , x² - y² + 2y - 1

Irrelevant / Random answers will be reported !! ​

Answers

Step-by-step explanation:

Hey there!

Please look your required answer in pictures.

Hope it helps!

Helpppppp pls
Find h.
h = [?] in

Answers

Answer:

h=rt.96=4 rt.6

Step-by-step explanation:

r=2 inches

therefore 100= root over h + 4

          =>h=rt.96=4 rt.6

what is the order of the numbers from least to greatest

Answers

Answer:

-3.7, -1.9, -1/2, 1 1/3, 1.6, 2 1/3

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if this answer is wrong.

Answer:

-3.7, -1.9, -1/2, 1 1/3, 1.6, 2 1/3  

Step-by-step explanation:

hope this helps! have a great day!

i will give you brainliest if you help me with this

Answers

Answer:

a) 9 + 3 = 12

b) 5x = (5 x 6 = 30) 30

c) 2x (2 x 3 = 6) = 13

d) 5x (5 x 2 = 10) = 14 + x (10)

Step-by-step explanation:

I hope it is right

Answer:

a. x=9

b. x=6

c. x=3

d. x=10/4

Danessa is working with consecutive even numbers. If x is her first number, which expression represents her second number?
x + 1
x – 1
x + 2
2x

Answers

Answer:

x + 2

Step-by-step explanation: I believe that can help you!

X + 2 can help u I’m pretty sure

A car dealership has seven cars in the lot unfortunately the keys to the cars of been mixed up the manager randomly grab the key and tries to start a car salesman also randomly picks a different key and tries to start another car what is the probability that both cars start

Answers

To determine The probability of both of these occurring, you would multiply the probability of each together. So, there is a 1/7 chance of the first salesman getting the right key, and 1/6 chance of the second salesman getting the right key. 1/7 x 1/6= 1/42 chance of both occurring.

For the following set of data, find the percentage of data within 2
population standard deviations of the mean, to the nearest percent.
58, 77, 31, 54, 58, 54, 56, 58, 56

Answers

Answer:

58,+77,+31,+54+,58+,54+,46+,58+,56/9

If the value of the mean is 55.78. Then the standard deviation will be 10.98.

What is a standard deviation?

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The data set is given below.

58, 77, 31, 54, 58, 54, 56, 58, 56.

Then the mean of the data set will be

Mean = (58 + 77 + 31 + 54 + 58 + 54 + 56 + 58 + 56) / 9

Mean = 502 / 9

Mean = 55.78

Then the standard deviation will be

[tex]\rm SD = \sqrt{\dfrac{(58 - 55.78)^2+(77-55.78)^2 + ..... + (56-55.78)^2 }{9}}\\\\SD = \sqrt { \dfrac{1085.5}{9}}\\[/tex]

On further solving we have

SD = 10.98

If the value of the mean is 55.78. Then the standard deviation will be 10.98.

More about the standard deviation link is given below.

https://brainly.com/question/12402189

#SPJ2

how do you find the missing angles? thank you pls answer will give brainliest

Answers

Answer:

1. 70

2. 65

3. 115

4. 65

5. 65

6. 65

7. 65

Step-by-step explanation:

All of them are correct so dont worry

Have a nice day

A battery with a voltage of 3 V provides a voltage of 0.56 C to some circuits. Calculate the electrical power provided by this battery

Answers

Answer:

The power is 1.68 W.

Step-by-step explanation:

Voltage, V = 3 V

charge, q = 0.56 C

time, t = 1 s

The power is given by

P = V q/t

P = 3 x 0.56 / 1

P = 1.68 W

A wire is in the shape of a rectangle Pentagon of side 12 centimetres. It is rebent into the shape of a rectangle whose length is 3 divided by 2 times it's breadth. Find the length and breadth of the rectangle

Answers

Answer

Total Length of Wire = Perimter of Pentagon

= 12 × 5 = 60 cm

Perimeter of Rectangle = 2 (l + b)

Given, l = 3/2 b

Therefore,

2(3/2 b + b) = 60

2 (5b/2) = 60

5b = 60

Breadth b = 12 cm

Length l = 3/2 × 12 = 18 cm

is 6,7,13 a right triangle

Answers

Answer:

No

Step-by-step explanation:

For a right triangle, according to the Pythagorean Theorem, the 2 sides squared must equal the hypotenuse squared. ([tex]a^{2} +b^{2} =c^{2}[/tex])

The hypotenuse is the longest side so [tex]13^{2}=169[/tex]

[tex]6^{2}=36\\7^{2}=49[/tex]

36 + 49 does not equal 169

A motorist drives at an average speed of 80 km/hr. How far does she travel in 3(1/2)
hours?

Answers

Answer: 280 km

Step-by-step explanation:

[tex]3\dfrac{1}{2} \: hours = 3.5 \: hours[/tex]

S = V × t

V = 80 km/h

t = 3.5 h

S = 80 × 3.5 = 280 km

The Naturally Made Bath and Body store pays $550 a month for rent and utilities. The average cost for its products to be manufactured is about $3.00 an item. If the average price for a product sold in the store is $5.50, what will the break-even point be?

Answers

Answer:

Break-even point is at quantity 220.

Step-by-step explanation:

Given the rent amount that is fixed cost for the store = $550

The average cost of the goods = $3

The average price of the goods = $5.50

Let the total number of break-even items = Q

Thus, total revenue = 5.50 x Q = 5.50Q

At break-even, TR = TC

5.50Q = FC + VC

5.50Q = 550 + 3Q

5.50Q - 3Q = 550

2.50Q = 550

Q = 550 / 2.50

Q = 220

Thus break-even point is at quantity 220.

If x = 3, then 4x - 2 = 10 True or False

Answers

Answer:

True

Step-by-step explanation:

If x = 3, then we can subtitute in 3 for x in the equation;

4x - 2 = 10

4(3) - 2 = 10

12 - 2 = 10

10 = 10

Therefore the answer is True.

Hope this helps!

A ladder leans against the side of a house. The angle of elevation of the ladder is 68" when the bottom of the ladder is 16 it from the side of the house. Find the
length of the ladder. Round your answer to the nearest tenth
PLZ HELP ASAP!!!

Answers

Answer:

Length = 42.7 feet

Step-by-step explanation:

By considering it as right triangle we use trigonometric ratios to find the length of the ladder.

Given angle of elevation and adjacent side. We have to find the hypotenuse.

Trigonometric ratios

[tex]sin \theta = \frac{Opposite}{hypotenuse}\\\\cos \theta = \frac{adjacent }{hypotenuse }\\\\Tan \theta = \frac{opposite}{adjacent}\\ \\[/tex]                       [tex][ \ where \ \theta = 68^{ \circ} \ ][/tex]

To find length of ladder ( or hypotenuse ) :

[tex]cos \theta = \frac{16}{Length \ of \ ladder}\\\\Length \ of \ ladder = \frac{16}{cos 68} = 42.711\\\\[/tex]

Therefore, length of the ladder = 42.7 feet.

What is the volume of the following cylinder? Do not round your answer. (Use 3.14 for π.)



volume = ____yd3

Answers

Answer: 1696.46003yds^3

Hope this helped!! Have a nice day :))

Answer: 1962.5

Step-by-step explanation:  Just did this question it's right hope this helps

Why is the product of a rational number and an irrational number irrational?
A) because the product is always a non-terminating, non-repeating decimal
B) because the product is always a fraction
C) because the product is always a negative number
D) because the product is always a repeating or a terminating decimal

Answers

Answer:

A

Step-by-step explanation:

Answer:

✔ Because the product is always a non-terminating, non-repeating decimal.

Step-by-step explanation:

E 2021

Question 7
1. Calculate and write your answer as a mixed number
1 4/5 + 2 2/3 - 16/15​

Answers

Answer:

3  7/15

Step-by-step explanation:

1 4/5 + 2 2/3 - 16/15

9/5 + 8/3 - 16/15

27/15 + 40/15 - 16/15

52/15 = 3  7/15

Answer:

3 2/5

Step-by-step explanation:

STEP 1: Convert all fractions into improper fractions

9/5 + 8/3 - 16/15

Step 2: pass denominators

(9x3 + 8x5 - 16) / 15

=51/15

Step it into proper mixed number

3 2/5

physics
Joseph Jogs from one end A to the other end B of a straight
300m road in 2 minutes 30 second then turns around and jogs 100 m back to point C in another minute. What are Josef's Average speeds and velocities in jogging from
a) A to B
and
b) A to C

pls give answer with explination do not send link​

Answers

Answer:

a) Josef jogging from A to B;

i. speed = 2 m/s

ii. velocity = 2m/s

a) a) Josef jogging from A to C;

speed = 1.9 m/s

ii. velocity = 2.2 m/s

Step-by-step explanation:

One major difference between speed and velocity is that speed is a scalar quantity, while velocity is a vector quantity.

a) Josef jogging from A to B;

distance = 300 m

time = 2.5 seconds = 150 seconds

i. his average speed = [tex]\frac{distance}{time}[/tex]

                               = [tex]\frac{300}{150}[/tex]

                               = 2 m/s

ii. his average velocity = [tex]\frac{displacement}{time}[/tex]

                               = [tex]\frac{300}{150}[/tex]

                               = 2 m/s

b) Josef jogging from A to C,

distance = 300 + 100 = 400 m

time = 2.5 + 1 = 3.5 minutes

        = 210 seconds

i. his average speed = [tex]\frac{distance}{time}[/tex]

                                  = [tex]\frac{400}{210}[/tex]

                                  = 1.9 m/s

ii. his average velocity = [tex]\frac{\sqrt{V_{1} ^{2} + V_{2} ^{2} } }{2}[/tex]

[tex]V_{1} ^{2}[/tex] = 4 m/s

[tex]V_{2} ^{2}[/tex] = 1.9 m/s

his average velocity = [tex]\frac{\sqrt{4^{2} + 1.9^{2} } }{2}[/tex]

                                  = 2.2 m/s

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