Juan and Adam go to the movie theater and purchase refreshments for their friends,
Juan spends a total of $130.00 on 10 bags of popcorn and 10 drinks.
Adam spends a total of $56.50 on 3 bags of popcorn and 5 drinks.
Write a system of equations that can be used to find the price of one bag of popcorn
and the price of one drink.
Using these equations, determine and state the price of a drink, to the nearest cent.

Answers

Answer 1

Answer:

Popcorn = $4.25 per bag, Drink = $8.75

Step-by-step explanation:

p = popcorn

d = drinks

10p + 10d = 130

3p + 5d = 56.50

multiply the second equation by -2 and then solve by elimination

-6p - 10d = -113

4p = 17

p = 4.25

3(4.25) + 5d = 56.50

5d = 43.75

d = 8.75

Answer 2

Answer:

10x + 10y = $130.00

3x + 5y = $56.50

Solution: x=4.25 and y=8.75

Step-by-step explanation:

The variable x will be used here to show the price of each bag of popcorn, while y will be used to represent the price of each drink.  First we can solve 10x + 10y = 130 for x:

10x + 10y = 130

10x + 10y + -10y = 130 - 10y (Subtract 10y from both sides)

10x = -10y + 130

Now divide 10 by both sides

x = -y + 13

Next, you will substitute -y + 13 for x in 3x + 5y = 56.5:

3x + 5y = 56.5

3(-y + 13) + 5y = 56.5

2y + 39 = 56.5 (Simplify both sides of the equation)

2y + 39 + −39 = 56.5+ −39 (Add -39 to both sides)

2y = 17.5 (Now divide both sides by 2)

y = 8.75

You can check this by substituing 8.75 for y in x = -y + 13


Related Questions

Can someone please help me ASAP

Answers

Answer:

A) 144 FT B) 300

Step-by-step explanation:

{ Area= L x W

 Area= 12 x 12

 Area= 144 }

{ 6x2=12

12x25= $300

The system of equation y=3/4 and y=-x+3 According to the graph, what is the solution to this system of equations?
(4, -1)
(-1.4)
(4.1)
(1.4)​

Answers

Answer:

a

Step-by-step explanation:

a park has a 3 meter (m) tall tether ball pole and a 6.8 m tall flagpole. the lengths of their shadows are proportional to their heights. which of the following could be the lengths for the shadows. choose two answers

Answers

Answer:

Step-by-step explanation:

6.8/3 is the scale factor

1.35*(6.8/3)=3.06

1.8*(6.8/3)=4.08

3.75*(6.8/3)=8.5

8.5-8.35=0.15

3.4-3.06=0.34

since C is closer to the right proportion, if there is no option D, it should be the 2 answer you choose

Option B is definetly right, but what about another option, is there an option D?

A line passes through the point (-3,1) and has a slope of -2

Answers

Answer:

Step-by-step explanation:

y - 1 = -2(x + 3)

y - 1 = -2x - 6

y - 1 + 1 = -2x - 6 + 1

y = -2x - 5

Answer the questions for 9 points and brainliest
What is the median of the data

Answers

Answer:

40

Step-by-step explanation:

The median is the line in the middle of the box

40 is  the median

Find the value of y.

Answers

for this question you would need to utilize ratios to find the side lengths. For example, set up a ratio between the big triangle with the small triangle to find a side length

Answer:

Step-by-step explanation:

DB=√(y²-25)

again DB=√(x²-36)

so √(y²-25)=√(x²-36)

squaring

y²-25=x²-36

x²=y²-25+36

or x²=y²+11

also x²+y²=(6+5)²

x²+y²=121

y²+11+y²=121

2y²=121-11

2y²=110

y²=110/2=55

y=√55

Find the measurement of the inscribed angle CDB indicated below

Answers

Answer:

∠ CDB = 45°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of its intercepted arc.

∠ CDB = 0.5 × BC = 0.5 × 90° = 45°

Need Help ASAP will give brainliest!!!!

Answers

Answer:

Puppy' present weight = 2250 grams

Puppy last weight = 600 grams

Difference = 2250-600 = 1650

%age increase = (1650/600) x 100

= 275%

Assume the sample below is a perfectly random sample of students at a school. How much greater is the mean of the
reported heights at the school than the mean of the actual, measured heights at the school?
Number Reported height Measured Height Difference
Description
1
61
62
-1
Under reported
2
68
68
0
Accurately reported
3
57.5
56.5
1
Over reported
4
48.5
47
1.5
Over reported
07
75
72
3
Over reported
6
65
65
O
Accurately reported
7
80
78
2
Over reported
8
68
67
1
Over reported
9
69
69.5
-0.5
Under reported
10
63
62.5
0.5
Over reported​

Answers

Answer:

0.75

Step-by-step explanation:

The table is not well presented (See Attachment)

There are at least two approaches to this question

Method 1:  

Steps

1. Calculate the mean of reported heights

Mean of reported heights = (61+68+57.5+48.5+75+65+80+68+69+63)/10

Mean of reported heights = 655/10

Mean of reported heights = 65.5

2. Calculate the mean of measured heights

Mean of measured heights = (62 + 68 + 56.5 + 47 + 72 + 65 + 78 + 67 + 69.5 + 62.5)/10

Mean of measured heights = 647.5/10

Mean of measured heights = 64.75

3. Get their difference

Difference = Mean of reported heights - Mean of measured heights

Difference = 65.5 - 64.75

Difference = 0,75

Method 2: Calculate the mean of their difference

Mean of difference = Sum of difference / Number of observations

Mean of difference = (-1 + 0 + 1 + 1.5 + 3 + 0 + 2 + 1 – 0.5 + 0.5)/10

Mean of difference = 7.5/10

Mean of difference = 0.75

Note that in both cases, the result is 0,75.

Hence, the reported heights at the school is 0.75 greater than the actual measured height

It was hard to do because you wrote it out next time try attaching the file but if my calculations are correct its C.)0.75

A circular lawn has a row of bricks around the edge. The radius of the lawn is about 20 feet.







Which is the best estimate for the area of the grass in the lawn? Use 3.14 for π. Select One.


125 feet


125 square feet


1250 feet


1256 square feet

Answers

Answer:1256

Step-by-step explanation:

You need to find the area which is Area=3.14xradiusxradius

So in short hand A=3.14x20x20 which is 1256 feet

The ratios 3:9, 4:12, 5:15, and 6:18 are a pattern of equivalent ratios in the table below. A multiplication table. In the row labeled 1, the numbers 3, 4, 5, and 6 are highlighted. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Which is another ratio in this pattern?

Answers

Answer:

7 and 21

Step-by-step explanation:

the ratios are following a 1:3 pattern. basically, whichever number is in the first row, the second row will have it times 3. So, if you chose the number 7, 7x3=21, so 7 & 21 are other ratios in the pattern

HELP ASAP PLEASE need help

Answers

Answer:

4.10

Step-by-step explanation:

Cos 35 = AC/5

AC = 4.096

to the nearest hundredth

AC= 4.10

Answer:

AC= 2.87, in respect of angle B, AC is the opposite side and AB is the hypotenuse Sin(B)= AC/AB, Sin(35°)=AC/5

Please Answer Quick!!! Will Give Brainliest!!!


1.) Rita used a compass to draw a circle with a radius of 3 cm. What was the circumference of the circle? (Use 3.14 for π.)

2.) If 20% of the 50 pennies in the roll were minted before the year 2000, then how many of the pennies were minted before 2000?

Answers

Answer:

1. 18.84cm

2. 10 Pennies

Step-by-step explanation:

Question 1:

Circumference Formula = 2 x π x radius

We will substitute π for 3.14 so the circumference = 2 x 3.14 x radius

The radius is 3 so the circumference = 2 x 3.14 x 3

2 x 3.14 x 3 = 18.84cm

Question 2:

20% as a decimal is 0.2

To find the answer just find 20% of 50

50 x 0.2 = 10

Therefore 10 pennies were minted before 2000

BC⎯⎯⎯⎯⎯ is parallel to DE⎯⎯⎯⎯⎯. What is AC? Enter your answer in the box. 34 units A triangle with vertices labeled as A, D, and E. Side D E is the base and the top vertex is A. Sides A D and A E contain midpoints B and C, respectively. A line segment is drawn from point B to C. Side A B is labeled as 8. Side B D is labeled as 10. Side C E is labeled as 15.

Answers

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE, then angles D and B are congruent and angles C and E are congruent as well. This means that triangles ABC and ADE are similar by the AAA (or AA) similarity theorem.

We know that similar triangles are in proportion. This means that [tex]\frac{AC}{AE} = \frac{AB}{AD}[/tex]

Now, we can plug the values given into that equation:

[tex]\frac{x}{x+15} = \frac{8}{18}[/tex]

Now, cross multiply:

18x = 8(x + 15)

Now, we can simplify this equation and solve for x, or AC.

18x = 8x + 120

Subtract 8x from both sides:

10x = 120

Divide both sides by 10:

x = 12

Hope this helps!

Answer:

AC: 12

Step-by-step explanation:

Two sides of a parallelogram measure 60 centimeters and 40 centimeters. If one angle of the parallelogram measures 1320, find the
length of each diagonal.
a.about 86.4 cm and 54.2 cm
c.about 91.7 cm and 54.2 cm
b. about 91.7 cm and 44.6 cm
d. about 86.4 cm and 44.6 cm​

Answers

Answer:

  b. about 91.7 cm and 44.6 cm

Step-by-step explanation:

The lengths of the diagonals can be found using the Law of Cosines.

Consider the triangle(s) formed by a diagonal. The two given sides will form the other two sides of the triangle, and the corner angles of the parallelogram will be the measure of the angle between those sides (opposite the diagonal).

For diagonal "d" and sides "a" and "b" and corner angle D, we have ...

  d² = a² +b² -2ab·cos(D)

The measure of angle D will either be the given 132°, or the supplement of that, 48°. We can use the fact that the cosines of an angle and its supplement are opposites. This means the diagonal measures will be ...

  d² = 60² +40² -2·60·40·cos(D) ≈ 5200 ±4800(0.66913)

  d² ≈ {1988.2, 8411.8}

  d ≈ {44.6, 91.7} . . . . centimeters

The diagonals are about 91.7 cm and 44.6 cm.

(8x - 6) - (7x - 9)

I hope you're open to me asking more questions in the reply <3

Answers

Answer:

x + 3

Step-by-step explanation:

Given

(8x - 6) - (7x - 9)

Distribute the first parenthesis by 1 and the second by - 1

= 8x - 6 - 7x + 9 ← collect like terms

= x + 3

CAN SOMEONE PLEASE HELP The Ecology Club was planning to take a field trip either to the seacoast or the mountains. The club president surveyed all of the members to determine the preferred trip. The results are displayed in the table below. Which statement is true about the results of the survey? *


20% of eighth-grade students preferred the seacoast

32% of seventh-grade students preferred the mountains

40% of students preferred the mountains

48% of students preferred the seacoast

Answers

Answer:

The true statement about the results of the survey is:

48% of students preferred the seacoast.

Step-by-step explanation:

To identify if the D option is right, you only must use a simple rule of three, where you use the total of the members surveyed in the club (150), and the number of members that preferred the seacoast (72), by the last the operation must confirm that this value (72) is equal to the 48% (how says in the D option). First, you must establish the rule of three:

150 = 100 (100% of surveyed really, but is easier to understand in this form) 72 = X

And operate:

X= (72 * 100) / 150 X = 48 (this means the 48%)

How you can see, the value obtained in the simple rule of three is exactly the percentage of the D option, for this reason, this is the true statement.

The perpendicular line which of the following equations represents the line that passes through the point 1,-1

Answers

Answer:

The answer is the letter A

The diameter of a cylinder is 10 feet. The height of the cylinder is 15 feet. What is the approximate volume of the cylinder rounded to the nearest cubic foot? Use 3.14 for π.

Answers

Answer:

1,178 cubic feet

Step-by-step explanation:

volume of cylinder is given by following formula

volume = [tex]\pi r^2l[/tex]

where r is the radius for cylinder and l is the height of cylinder.

____________________

given

diameter of cylinder = 10 feet

radius is half diameter

thus, radius = diameter/2 = 10/2 = 5 feet

height of the cylinder = 15 feet.

[tex]volume = \pi r^2l\\=> volume = 3.14* 5^2*15\\=> volume = 3.14* 25*15 = 1,177.5[/tex]

Thus, volume of cylinder is 1,177.5 cubic feet

volume of cylinder,rounded to the nearest cubic foot, is 1,178 cubic feet.

Help please! I appreciate all of you people helping me:))

Answers

Answer:

∠ b = 12°

Step-by-step explanation:

Complementary angles sum to 90°, thus

a + b = 90 ← substitute a = 78

78 + b = 90 ( subtract 78 from both sides )

b = 12

That is ∠ b = 12°

The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance betweeb city A and city C is 51 miles. What type of trianglr is created by the three cities?

Answers

Answer:

the triangle is an obtuse

Step-by-step explanation:

draw it out

Answer: Acute Triangle

Step-by-step explanation:

54 is the hypotenuse because it is the longest side.

Square all of the sides.

So

54^2=2916

51^2=2601

22^2=484

Now you have 2916=2601+484

Add the two on the right and they will be greater than 2916.

Because of that, you will have an acute triangle because 22^2+51^2>54^2

Please help ASAP Very easy !!!!

Answers

Answer:

Brainleist is to be given to me!

Step-by-step explanation:

-2/3

its between -1 and 0 but is closer to -1

the only choises are -1/3 and -2/3 but its closer to -1 so it must be -2/3

Use the given diagram to answer the question.
Which line is the intersection of wo of the planes
shown
Which line intersects one of the planets
Tatou
Which line has points on three of the planes shown?

Answers

Answer:

Step-by-step explanation:

1)

Lines X and W intersect 2 planes, while line Y intersects 3 and linen Z and V intersect one plane,

So, answer is lines X and W (don't know about Y, since it intersects more than two planes)

2) Lines Z and V intersect only one of the planes (the other lines intersect more than one, so don't know about them)

3) Line Y has points in all three planes (the rest have in either 2 or one planes)

The line which is the intersection of wo of the planes shown is.

1) Lines X and W intersect 2 planes, while line Y intersects 3, and lines Z and V intersect one plane,

So, the answer is lines X and W (don't know about Y, since it intersects more than two planes)

The line which intersects one of the planets Tatou is.

2) Lines Z and V intersect only one of the planes (the other lines intersect more than once, so don't know about them)

The line which has points on three of the planes shown is.

3) Line Y has points in all three planes (the rest have in either 2 or one plane)

What are the basics of geometry?

Basic geometric concepts are based on three basic concepts. They are a point, a line, and a plane. We cannot specify the terms. However, it does refer to a position mark and has a precise location.

Learn more about Geometry at https://brainly.com/question/20303542

#SPJ2

Round 100.9052 to the nearest 10th

Answers

Answer:

100.9

Step-by-step explanation:

The 10th place is the one one right after the decimal, in this case 9. Since there's a 0 next to the nine you don't have to change anything. Thus you get 100.9

type at least 2 ways they are the same and type 2 ways they are different.

Answers

Answer: they are both halves and represent the fraction 1/2. They different because there represented by lines and boxes.

Step-by-step explanation:

It takes 93 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed? Round to nearest hundredth.

Answers

Answer:

9.3 acres per pound

Step-by-step explanation:

93/10

10/93 = .10
(acre/lb)

So, in a lb of seed, .10 (one tenths) of an acre can be planted.

Ram baked 946 cupcakes she sold them in a box of 22 for $16.50 a box how many boxes would she need to make at least $300?

Answers

this app is g a y ksjshfusjwnsbx

(Teaser) Is it possible to have a triangle whose all three altitudes intersect at one of the vertices of that triangle?

answer can be.. YES or NO

Answers

Answer:

yes

Step-by-step explanation:

yes

Evaluate \sqrt{-75s}
−75s

square root of, minus, 75, s, end square root where s = -3s=−3s, equals, minus, 3.

Answers

Answer:

Step-by-step explanation:

the answer is 15!

The square root of the number -√75 will be -3√5.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The square root of the number will be calculated as below:-

-√75 = - √( 3 x 3 x 5 )

        = -3√5

Therefore, the square root of the number -√75 will be -3√5.

To know more about expression follow

https://brainly.com/question/723406

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AB is a segment with one endpoint A(-7,9) and midpoint M(8,1). Can
you find the coordinates of the other endpoint B?
Enter the x-coordinate of the other endpoint here
Enter the x-coordinate of the other endpoint here​

Answers

Answer:

x-coordinate of the other endpoint: 23

y-coordinate of the other endpoint: -7

Step-by-step explanation:

To find the x-coordinate of the other endpoint, we need to find the run between the known endpoint and the midpoint

run: xM - xA = 8 - (-7) = 15

where xM and xA are the x-coordinates of M and A respectively.

The run between the other endpoint and the midpoint must be the same as before:

x - 8 = 15

x = 15 + 8

x = 23

To find the y-coordinate of the other endpoint, we need to find the rise between the known endpoint and the midpoint

rise: yM - yA1 =  - 9 = -8

where yM and yA are the y-coordinates of M and A respectively.

The rise between the other endpoint and the midpoint must be the same as before:

y - 1 = -8

y = -8 +1

y = -7

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