Ben and Carson went to the movies with friends. Ben purchased 3 popcorn and 2 boxes of candy for $41. Carson purchased 1 popcorn and 2 boxes of candy for $29. How much did the popcorn cost?

Answers

Answer 1

Answer:

$6

Step-by-step explanation:

B- 3P+2C=$41

C-1P+2C=$29

since they both bought at least 1 popcorn and 2 candy you can just subtract 29 from 41. you get 12 which equals the other 2 popcorns that ben bought

12/2=6

since you need to find the price of 1 popcorn you have to divide 12 by 2


Related Questions

Due in a MINUTE!!! Need help!

Answers

Answer:

GH = 15

Step-by-step explanation:

In a trapezoid, the length of the median is one-half the sum of the lengths of the bases. Therefore:

[tex]9x - 3 = \frac{1}{2} (19 + 5x + 1)[/tex]

[tex]18x - 6 = 5x + 20[/tex]

[tex]13x = 26[/tex]

[tex]x = 2[/tex]

[tex]9(2) - 3 = 18 - 3 = 15[/tex]

I know that the answer is 27 and that 3 + x = 7 but where do you get 4?

Answers

Answer:

27

step by step explanation

if you are calculating for the area of the figure, divide the shape into two figures and you will get two rectangles

for shape 1

length=3 width=5

for shape2

length 7-3=4

width=3

area of shape1. =3×5=15

area of shape2. =4×3=12

area of the shape= 12+15 = 27

I need help finding the direction please. 100 points!

Answers

Answer:   225

=======================================================

Explanation:

Take note that the x and y coordinate of this vector are the same.

This leads to a 45-45-90 reference triangle. If the vector was in the first quadrant (the northeast), then the answer would be 45 degrees.

However, we need to add on 180 so we get to the third quadrant instead where x and y are both negative. This gets us to 180+45 = 225 degrees

---------------

If you wanted to use a calculator, then you would compute the value of [tex]\tan^{-1}(b/a)[/tex] where <a,b> is the vector in question.

Since a = b in this case, we have b/a = 1 and the arctangent of this is 45 degrees. The adjustment of adding on 180 still applies like from before.

help me help me help me​

Answers

Answer:

read step by step

Step-by-step explanation:

6 is +4.

19, 23, 27, 31

7 is all perfect square numbers

25, 36, 49, 64

8 is x2.

32, 64, 128, 256

9 is each number multiplied by the next. ex: 1x2=2, 2x3+6, 3x4=12

so the next few would be 30, 42, 56, 72

A garden store recently sold 44 seed packets, including 22 squash seed packets. considering this data how many of the next 94 seed packets sold should you expect to be squash seed packets?

Answers

The expected squash seed packets is its mean or average value

You should expect 47 squash seed packets in the next 94 seed packets

How to determine the expected squash seed packets?

The given parameters are:

Sample size (n) = 44 seed packetsSquash seed (x) = 22 seed packetsPopulation (N) = 94 seed packets

The expected squash seed packets is calculated as:

E(x) = x/n * N

This gives

E(x) = 22/44 * 94

Evaluate the product

E(x) = 47

Hence, you should expect 47 squash seed packets in the next 94 seed packets

Read more about expected values at:

https://brainly.com/question/15858152

a. Use the appropriate formula to find the value of the annuity
b. Find the interest
Rate
Periodic Deposit
$6000 at the end of each year
15.5% compounded annually
Time
10 years

Answers

The value of the $6000 annuity given annual compounding is $124,836.12.

What is the value of the annuity?

The value of the annuity can be determining using this formula: amount deposited x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

n = number of years r = interest rate

$6000 x [(1.155^10) - 1/0.155] = $124,836.12

To learn more about annuities, please check: https://brainly.com/question/24108530

PLEASE HELP 100 POINTS AND BRAINLY

Answers

Answer:

Step-by-step explanation:

Answer:

(2 , 2) is the solution

Step-by-step explanation:

7x - 4y = 6

-6x + 7y = 2

49x - 28y = 42

-24x + 28y = 8

25x = 50

therefore

x = 2

7x - 4y = 6

7×2 - 4y = 6

14 - 4y = 6

14 - 6 = 4y

8 = 4y

8 ÷ 4 = 4y ÷ 4

2 = y

therefore

x = 2

y = 2

hope this will helpful to you....

Order the integers from greatest to
least: 4, -3, 0, 8, -5.
A 5, 3, 0, 4,8
B 3.-5, 0. 4.8
8, 4.0, 3, 5
D 0, -3, 4, 5,8

Answers

Answer:

8, 4, 0, -3, -5

(greatest to least order)

-Answer: C-

Step-by-step explanation:

8 is positive so its greatest

-5 is negative but it is farthest away from 0 so it is least

What is the equation of the line that passes through the point (3,7) and has a slope of 2/3

Answers

Answer:

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

Hope This Helped! :) Please Mark Brainliest!

Using only 3,4&5 what equals 11

Answers

(5×3)-4 = 11

hope it helps...!!!

Answer:

(5*3)-4=11

Step-by-step explanation:

because when you multiply 5*3=15, then subtract 4 from it, it gives you 11. There are no other options becuase 5*4-3=17 and 4*3-5=16 and 5*4+3=23 and 4*3+5=17.


X/5= 7

X/2= 6.5

Find x

Answers

Answer:

1. Answer is 35

2. Answer is 13

Step-by-step explanation:

All you have to do is multiply 5 on both sides for number 1 and multiply by 2 on both sides for number 2.

What is the measurement of angle P? MPO O A.) 36° O B.) 64° O C.) 116° O D.) 244°​

Answers

Answer:

Well, there is no picture so theres no way to know what it could be. All I can do is guess.

B

What is the median of the data set? -10, -5, -1, 0, 0, 3, 6, 8

A. 0
B. 0.125
C. 3
D. -1

Answer: A

Answers

Answer:

the anwer is a so 0

Step-by-step explanation:

the number that showed up the most is 0 so median is 0

NO LINKS!!!

Find the indicated side for each triangle below:​

Answers

Problem 5

Apply the Law of Sines

s/sin(S) = r/sin(R)

s/sin(78) = 10/sin(48)

s = sin(78)*10/sin(48)

s = 13.162274

Answer:    13.162274 approximately

=============================================================

Problem 6

Use the Law of Sines here as well.

x/sin(X) = y/sin(Y)

x/sin(53) = 6/sin(22)

x = sin(53)*6/sin(22)

x = 12.791588

Answer:    12.791588 approximately

Answer:

Sine Rule

[tex]\sf \dfrac{a}{sinA}=\dfrac{b}{sinB}=\dfrac{c}{sinB}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Question 5

[tex]\sf \implies \dfrac{s}{sin(78)}=\dfrac{10}{sin(48)}[/tex]

[tex]\sf \implies s=\dfrac{10sin(78)}{sin(48)}[/tex]

[tex]\sf \implies s=13.16227426[/tex]

s = 13.2 (nearest tenth)

Question 6

[tex]\sf \implies \dfrac{x}{sin(53)}=\dfrac{6}{sin(22)}[/tex]

[tex]\sf \implies x=\dfrac{6sin(53)}{sin(22)}[/tex]

[tex]\sf \implies x=12.79158761[/tex]

x = 12.8 (nearest tenth)

Using proportions to solve for missing sides.
RST~YSZ, find YZ.

Answers

Answer:

  YZ = 28

Step-by-step explanation:

A proportion involving the known and unknown sides is ...

  TR/ST = ZY/SZ

__

This proportion uses SZ, which is not shown on the diagram. The length of SZ can be found from ...

  SZ +ZT = ST . . . . . . . segment sum theorem

  SZ + 5 = 40 . . . . with given values

  SZ = 35 . . . . . subtract 5

__

So, the proportion with values filled in is ...

  (3x -7)/40 = (2x +2)/35

  7(3x -7) = 8(2x +2) . . . . . . . multiply by 280

  21x -49 = 16x +16 . . . . . . . eliminate parentheses

  5x = 65 . . . . . . . . . . add 49 -16x

  x = 13 . . . . . . . . divide by 5

  YZ = 2x +2 = 2(13) +2

  YZ = 28

_____

Additional comment

RT = 3x -7 = 3(13) -7 = 32

This recipe makes 10 flapjacks.
How much of each ingredient is needed to make 35 flapjacks by following this recipe?

Recipe: Makes 10 flapjacks
140 g margarine
120 g sugar
100 ml syrup
240 g oats
50 g raisins

Answers

Answer:

Multiply each measure of ingredients by 3.5

Step-by-step explanation:

This recipe makes 10 flapjacks. We want to be able to make 35 flapjacks.

Divide 35 by 10 to find the ratio of these 2 numbers.

35 / 10 = 3.5

Now we can multiply the measures by this number to find out how much of each ingredient we need.

140 * 3.5 = 490

120 * 3.5 = 420

100 * 3.5 = 350

240 * 3.5 = 840

50 * 3.5 = 175

Answer:

Recipe: Makes 35 flapjacks

490 g Margarine

420 g sugar

350 ml syrup

840 g oats

200 g raisins

‼️GET BRANLIEST HERE‼️






PLS AND TY IT IS DUE SOON :))​

Answers

Answer:

b = 0.62

Step-by-step explanation:

Hello!

We can look at the y-values of the function to find our multiplier. A multiplier will determine if the graph decays or grows in an exponential function, and by how much.

When x is 0, we can see the y-value is around 3, but as x approaches 1, the y-value comes to around 2.

We can find the multiplier by dividing the current term by the previous term.

2 ÷ 32/30.6666...

This number is closest to 0.62, so the approximation is 0.62.

2/3

0.6666..

Approximation is 0.62 (b)

Hope this helped! Stay healthy!

Consider the rhombus ABCD with the side length AB of 14 cm and the measure of the angle B of 120 °. Through the vertex A goes a certain secant that intersects the extensions of the sides BC and CD in E, respectively F.
Calculate:
[tex] \frac{1}{ce} + \frac{1}{cf} [/tex]

Answers

Answer:

  1/14

Step-by-step explanation:

In the given geometry, we have similar triangles:

  ΔCEF ~ ΔBEA ~ ΔDAF

This lets us write the relations for corresponding sides ...

  CF/CE = DF/DA

where DF = CF -CD

We can rearrange this relation to give the value we're looking for as follows.

__

Making the substutition for DF, and multiplying by CE, we have ...

  CF = CE(CF -CD)/DA

Both DA and CD are sides of the rhombus, so are both 14 cm in length. Multiplying by DA and making the number substitution, we have ...

  DA·CF = CE·CF -CE·CD

  14·CF = CE·CF -14·CE . . . . substitute 14 for DA and CD

  14(CF +CE) = CE·CF . . . . . add 14·CE

  (CF +CE)/(CE·CF) = 1/14 . . . . divide by 14·CE·CF

  1/CE +1/CF = 1/14 . . . . . . . . . simplify

Need help as soon as possible

Answers

Answer:

100cm

Step-by-step explanation:

divide the shape into smaller shapes then find the area of each and add them together

solve for a ~
[tex]a {}^{2} - 5a + 6 = 0[/tex]

thankyou ~​

Answers

Answer:

Hi there!

Given equation :-

[tex]\:\mathsf{a^2\:-\:5a\:+\:6\:=\:0}[/tex]

Now

=> By splitting the middle term

=> [tex]\:\mathsf{a^2\:-\:2a\:-\:3a\:+\:6\:=\:0}[/tex]

=> [tex]\:\mathsf{a(a\:-\:2)\:-\:3(a\:-\:2)\:=\:0}[/tex]

=> [tex]\:\mathsf{(a\:-\:2)\:-\:(a\:-\:3)\:=\:0}[/tex]

We get ,

=> [tex]\:\sf{a\:=\:2\: and\: a\:=\:3}[/tex]

[tex]\:\mathsf{Hope\:this\:helps\:you!\::)}[/tex]

Thank you!

Answer:

[tex]a = 3 \: \: \: and \: \: a = 2[/tex]

Step-by-step explanation:

[tex]a^{2} - 3a - 2a + 6 = 0[/tex]

[tex]a \: (a - 3) \: \: (a - 2)[/tex]

[tex]{}\ a - 3 = 0 \\ a = 2{}[/tex]

Use calculus to find the volume of the following solid S:

The base of S is the parabolic region {(x,y)|x^2≤y≤1}. Cross-sections perpendicular to the y-axis are squares.

Answers

S casts a "shadow" on the x-y plane given by the set

[tex]S' = \left\{(x,y) ~:~ -1 \le x \le 1 \text{ and } x^2 \le y \le 1\right\}[/tex]

Each cross section is a square whose side length is determined by the vertical distance between y = 1 and y = x², which is |1 - x²|. But since -1 ≤ x ≤ 1, this distance simplifies to 1 - x².

The volume of an infinitesimally thin section is then (1 - x²)² ∆x (where ∆x represents its thickness), and so the volume of S is

[tex]\displaystyle \int_{-1}^1 (1-x^2)^2 \, dx = \int_{-1}^1 (1 - 2x^2 + x^4) \, dx[/tex]

The integrand is even, so this integral is equal to twice the integral over [0, 1] :

[tex]\displaystyle \int_{-1}^1 (1-x^2)^2 \, dx = 2 \int_0^1 (1 - 2x^2 + x^4) \, dx = 2 \left(1 - \frac23 + \frac15\right) = \boxed{\frac{16}{15}}[/tex]

Explain how to use basic facts and number patterns to find 5600%7

Answers

Answer:

600.

Well, to divide these numbers, we can use certain strategy that fits with out logic. For example, we know that 56 divided by 7 can be done mentally, because it's a simple division that can be immediately solved.

So, 56 divided by 7 is 8, then we add the two zeros to the quotient, because we isolated the first to digit to make the division easier and then we have to add back those zeros.

Therefore the division results in 600.

There are several operations that can be done by using certain strategy, like separating the number in easier parts like we did this time.

A right triangle has a hypotenuse with a length 12 and a leg with
length 5. How long is the triangle's other leg?

Answers

Answer:

13

Step-by-step explanation:

pythagorean theorum

a^2+b^2=c^2

12^2+5^2=c^2

144+25=c^2

c^2=169

c=13

The length of the triangle's other leg is approximately 10.908.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

We can use the Pythagorean theorem to solve for the length of the other leg of the right triangle.

The Pythagorean theorem states that for any right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides (the legs).

That is, for a right triangle with legs a and b and hypotenuse c:

c² = a² + b²

In this case,

We know that the hypotenuse has a length of 12 and one of the legs has a length of 5.

Let's denote the length of the other leg as "x".

So we can set up the equation:

12² = 5² + x²

Simplifying, we get:

144 = 25 + x^2

Subtracting 25 from both sides, we get:

119 = x²

Taking the square root of both sides, we get:

x ≈ 10.908

Therefore,

The length of the triangle's other leg is approximately 10.908.

Learn more about triangles here:

https://brainly.com/question/25950519

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Finish the polynomial by adding one number to make it a perfect square

x^2+18x+

Answers

Answer:

81

Step-by-step explanation:

[tex] {x}^{2} + 18x + {(( \frac{1}{2})(18)) }^{2} [/tex]

[tex] {x}^{2} + 18x + {9}^{2} [/tex]

[tex] {x}^{2} + 18x + 81[/tex]

[tex] {(x + 9)}^{2} [/tex]

Choose all statements that are true.
A 15% of 15 is 1.
B 5% of 50 is 10.
C 10% of 100 is 10.
D 2% of 100 is 5.
E 3% of 200 is 6.

Answers

Answer:

C, D, E

Step-by-step explanation:

15 * .15 = 2.25

50 * .05=  2.5

100 * .10= 10

100 * .05= 5

200 * .03= 6

Emily walked 5 2/6 miles in the morning and another 3 3/5 miles in the afternoon What was the total distance she walked?​

Answers

Answer:

The correct answer would be 8 14/15 miles.

Step-by-step explanation:

You have to get the fractions 5 2/6 and 3 3/5 to a common denominator (30) getting you the fractions 10/30 and 18/30. 10/30+18/30 is 28/30 which can simplify to 14/15. 5+3 = 8 getting you the answer of 8 14/15

sheri caught twice as many fireflies as robert. jessica caught 10 more flies than robert all together they caught 150 flies. how many flies did jessica catch?

Answers

Answer:

45 fireflies

Step-by-step explanation:

Because,

Sheri caught 70 and Robert caught 35.

150-35-70= 35

35+10 is equal to 45.

Following the rules given is the right answer

Vera has challenged Alexey to a round of Marker Mixup. Marker Mixup is a game where there is a bag of 5 red markers numbered 1 through 5, and another bag with 5 green markers numbered 6 through 10

Alexey will grab 1 marker from each bag, and if the 2 markers add up to more than 12 he will win If the sum is exactly 12, he will break even, and If the sum is less than 12, he will lose $6

What is Alexey's expected value of playing Marker Mixup?

Answers

Answer:

Step-by-step explanation:

The total possble combinations = 5 * 5 = 25 ways.

The number of ways to get exactly 12

= 2,10  3,9  4,8  5,7  = 4 ways.

The ways to get > 12

= 3,10  4,9  4,10  5,8  5,9  5,10  =  6 ways.

So the number of ways to get < 12 = 25 - 4 - 6 = 15 ways.

Expected value

= 4(0) + 6(x) + 15(-6)

I have written x as you have not said how much he gets if he wins.

Answer:

−$2.40

Step-by-step explanation:

correct on khan

Question is on the screenshot.

Answers

Answer : Last option
Tanx =48/80


Tan(angle) = opposite/adjacent
Tanx = 48/80

300,000+5,000+80+8· 1/100 +9· 1/10,000

Answers

Answer:

305,080.0809

Step-by-step explanation:

3 x 100,000 : digit 3 is in the hundred thousands place

5 x 1000 : digit 5 is in the thousands place

8 x 10 : digit 8 is in the tens place

8 x 1/100 : digit 8 is in the hundredths place which means it is the second number after the decimal

9 x 1/10,000 : digit 9 is in the ten thousandths place which means it is the fourth number after the decimal

we get the following number:

305080.0809

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