A movie theater sells 12 large bags of popcorn and 25 small bags of popcorn for $227. A large bag of popcorn cost $3.50 more than a small bag of popcorn. how much does each size cost?

Answer:

146 - k

Step-by-step explanation:

If he spent k dollars, the resulting amount would be the total amount  minus k.

Answer:

DO you speak english

Step-by-step explanation:

Pedro has 1200.00

Juan has 400.00

Antonio has 600.00

Answer:

50.24 cm

Step-by-step explanation:

A = pi r^2

A = 3.14 (4^2)

A = 3.14 (16)

A = 50.24 cm

Answer:

[tex]A=50.24cm^2[/tex]

Step-by-step explanation:

[tex]A=\pi r^2[/tex]

d = 8

r = d/2   r = 8/2 = 4

[tex]A=\pi (4^2)[/tex]

[tex]A=\pi 16[/tex]

[tex]A=3.14(16)[/tex]

[tex]A=50.24cm^2[/tex]

Hope this helps!

Step-by-step explanation:

1.

the y-intercept comes automatically from the given form, as the y-intercept is the y value when x = 0.

so, in

x² - 12x + 46

the y-intercept is 46, or as point (0, 46).

now to the vertex form and vertex itself.

the vertex form for such a quadratic equation is

y = a(x - h)² + k

with (h, k) being the vertex.

since we have a plain x² term in the basic expression, "a" must be 1.

so, we have the simpler version

y = (x - h)² + k = x² - 2hx + h² + k

so, let's compare this with our basic expression, and we see

-2h = -12

h = 6

h² + k = 46

6² + k = 46

36 + k = 46

k = 10

so, the vertex form is

y = (x - 6)² + 10

and the vertex is (6, 10)

2.

the equating of a circle is

(x - x1)² + (y - y1)² = r²

with (x1, y1) being the center of the circle, and r being the radius.

so, the center is then (3, -3), and the radius is sqrt(36)=6.

3.

as explained in 2. this would be

(x - 4)² + (y + 9)² = 3² = 9

4.

x² + y² + 6x - 2y + 9 = 0

this has to turn into

(x - x1)² + (y - y1)² = r²

x² - 2x×x1 + x1² + y² - 2y×y1 + y1² = r²

x² - 2x×x1 + x1² + y² - 2y×y1 + y1² - r² = 0

"x² + 6x" suggests that for x1 of the first term

6x = - 2x×x1

x1 = -3

and "y² - 2y" suggests for y1 of the second term

-2y = -2y×y1

y1 = 1

that gives us for the constant terms and radius

x1² + y1² - r² = 9

(-3)² + 1² - r² = 9

9 + 1 - r² = 9

1 - r² = 0

r² = 1

r = 1

so, the standard circle equation is

(x + 3)² + (y - 1)² = 1

The probability of selecting blue is 1/6

There are no repeated letters, hence  the probability that

they show the same letter is 0

Probability is the likelihood or chance that an event will occur, Mathematically;

Probability = Expected/Total

54) Given the expression a*b = a^3 – b^3

To calculate 3 * -2

3* -2 = 3^3 - (-2)^3

3* -2 = 27 - 8

3* -2 = 19

Hence the value of 3* -2 is 19

41) From the quation

Total outcome = 13 + 12 + 5

Total outcome = 30 marbles

Pr(picking blue) = 5/30 = 1/6

Hence the probability of selecting blue is 1/6

42) Since there are 14 letters, hence total outcome = 14

Pr(drawing out same letter ) = 0/14 = 0

Since there are no repeated letters, hence  the probability that

they show the same letter is 0

Learn more on probability here: https://brainly.com/question/24756209

The way that I memorised how to do sin, cos, and tan is by the following: SOH, CAH, TOA

SOH = Sin is OPPOSITE / HYPOTENUSE

CAH = Cos is ADJACENT / HYPOTENUSE

TOA = Tan is OPPOSITE / ADJACENT

For example if we were to solve question 5

Sin T = 6 root 2 / 19

Cos T = 17 / 19

Tan T = 6 root 2 / 17

Repeat the steps for question 6

For the rest of the questions (7,8,9) you have to take the information given and figure out if you should us Sin, cos, or Tan. then plug the numbers in the calculator and while doing sin ^ -1, cos ^ -1, tan ^ -1

for example on question 7, to find the angle x they have given you the hypotenuse and the adjacent side so

cos x = 9 / 18

to find x plug: cos^-1 (9/18) in the calculator

Answer:

5

Step-by-step explanation:

I se you labeled the points, the distance between them can be found by adding the distances from 0:

5/2 + 5/2

Since they have the same denominator we can just add the numerators:

5 + 5 = 10

So 10/2, which can be simplified into 5 since 10 goes into 2, 5 times.

Hope this helps!! :)

Answer:

yes

Step-by-step explanation:

For the lengths to be the sides of a triangle.

The sum of any 2 must be greater than the third.

8 + 11 = 19 > 14

8 + 14 = 22 > 11

11 + 14 = 25 > 8

Then the 3 lengths can form the sides of a triangle

Answer:

Yes, it can be the sides of a scalene triangle.

Step-by-step explanation:

Because the sides and the angles of a scalene triangle are different.

Answer:

1,372

Step-by-step explanation:

Because what is 1 + 1

1 + 1=2 what is 2 x 12

12 x 2=24 what is 1,348 + 24

1,348 + 24 =1,372

Hope this helps have a great day:)

Answer:

Step-by-step explanation:

1+1 x 12+1348 please help

PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. For any expression, all exponents should be simplified first, followed by multiplication and division from left to right and, finally, addition and subtraction from left to right.

1 + 1 * 12 + 1348 =

1 + 12 + 1348 =

13 + 1348 =

1361

Answer

I think its 'cant be done'

Step-by-step explanation:

Step-by-step explanation:

Our problem:

[tex] \frac{2}{3} \div \frac{4}{5} = unknown[/tex]

How to solve?

Find the reciprocal (opposite) of 4/5, then multiply. Simplify if necessary.

Find the reciprocal:

[tex] \frac{2}{3} \times \frac{5}{4} = unknown[/tex]

Multiply:

[tex] \frac{2}{3} \times \frac{5}{4} = \frac{10}{12} [/tex]

Simplify:

[tex] \frac{10 \div 2}{12 \div 2} = \frac{5}{6} [/tex]

5/6 is your answer.

Answer:10.7(1dp)

Step-by-step explanation:

Answer:

get the inequality first ! x<44

Step-by-step explanation:

3/4x+8<41 ( subtract 8 from both sides. 8 cancels out. and 41-8=33 )

3/4x<33 ( multiply both sides by 4/3)

3/4 ×4/3 = 1

33×33 =44

x<44

and to graph it your line should have a open circle on 44 and point to the left.

kinda like this:

<—————○

Answer:

k=100

y the varies inversely as x

[tex]y \alpha {x}^{ - 1} [/tex]

that is y is equal to inverse of x

introducing a constant k, you have

[tex] k = x \times y \\ 5 \times 20 \\ 100[/tex]

Answer:225 tiles

Step-by-step explanation:

area of floor=number of  tile * area of each tile

side*side= x *(side*side)

300*300=x * (20*20)

300/20*300/20=x

15*15=x

225=x

Answer:

384,480

Step-by-step explanation:

32040 x 12 = 384,480

Mrs. Chaukes annual income is 384,480.

Data

This is the total amount earned in a given year. It is often calculated as the sum of your monthly income throughout the 12 known months in a calendar year.

To find Mrs. Chaukes annual income, we simply need to multiply her monthly income by 12 to get that answer.

[tex]32040 * 12 = 384480[/tex]

Mrs. Chaukes annual income is 384,480.

Learn more on annual income here;

https://brainly.com/question/13793671

Answer:

122ft

Step-by-step explanation:

(Note that this is just a logical guess, I do not remember learning how to do this)

We are given the length of the pole and the length of the guy wire after the pole. This gives us a right angle triangle where we know two of the sides. We can the other two sides into the Pythagorean theorem to solve for the diagonal side

recall:

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

plugged in 12ft and 2ft we get:

[tex] {(12)}^{2} + {(2)}^{2} = 148[/tex]

to solve for the diagonal side we take the square root of 148

[tex] \sqrt{148} = 12.17[/tex]

so now we know that 12.17 ft of wire is equivalent to 2 feet on the ground.

[tex] \frac{12.17ft \: wire}{2 \: ft \: ground} [/tex]

We have a total of 20 feet, so we multiply this proportion by 20:

[tex] \frac{12.17}{2} \times 20 = 121.7[/tex]

we are asked to give to the nearest foot so we round up to 122ft

Answer:

nope! 16:64 simplified is 1/4:)

Answer:

3 boxes of fertilisers.

Solving steps:

Part A:

Area of the garden, rectangle:

Length * Width

12 * 7

84 m²

Area of patio:

[tex]\sf{\frac{1}{2} * base *height[/tex]

[tex]\sf{\frac{1}{2} * 6*3[/tex]

[tex]\sf{9[/tex] m²

Area of grass:

Area of the garden - Area of patio

84 m² - 9 m²

75 m²

Part B:

32 m² ↔  1 box

1 m²    ↔ [tex]\sf{ \frac{1}{32}[/tex] box

75 m²  ↔ [tex]\sf{ \frac{1}{32} *75[/tex] boxes

75 m²  ↔ 2.34375 boxes

She should buy 3 boxes of fertilisers.

Answer:

3

Step-by-step explanation:

First, calculate the total area of the grass by calculating the area of the rectangle and the triangle, and then subtracting the triangle area from the rectangular area:

area of rectangle = width x length

⇒ area of rectangle = 7 x 12 = 84 m²

area of triangle = 1/2 x base x height

⇒ area of triangle = 1/2 x 6 x 3 = 9 m²

total area of the grass = area of the rectangle - area of triangle

⇒ total area of the grass = 84 - 9 = 75 m²

Given one box of fertilizer = 32 m² grass

⇒ boxes of fertilizer needed = area of grass ÷ 32

                                                = 75 ÷ 32

                                                = 2.34375

Therefore, Mrs Kunal will need 3 boxes of fertilizer.  

We need to round up to 3 rather than round down to 2, else she won't have enough to cover the entirey of the grassed area.

The equations could you use to find the price of one tire patch is 4x + 1.9 = 22.2.

The price of one patch is $5.075.

Given

To prepare for his mountain biking trip, Rhyan bought four tire patches.

Rhyan paid using a gift card that had $22. 20 on it.

After the sale, Rhyan’s gift card had $1. 90 remaining.

An equation says that two things are equal.

Let, the price of one tire patch be x.

The equations could you use to find the price of one tire patch is;

[tex]\rm = \text{Total number of patches} \times Price \ of \ one \ patch + Remaining \ gift card= Total \ paid \ amount\\\\4x + 1.9 = 22.2\\\\4x=22.2-1.9\\\\4x=20.3\\\\x=\dfrac{20.3}{4}\\\\x=5.075[/tex]

Hence, the price of one patch is $5.075.

To know more about the equation click the link given below.

https://brainly.com/question/12895249

Answer:

x = 4

Step-by-step explanation:

3(2x + 1) = 18 + 4x - 7

First distribute 3 by multiplying it by 2x and 1.

= 6x + 3 = 18 + 4x - 7

Then, add any like terms.

= 6x + 3 = 11 + 4x

 -4x                -4x

= 2x + 3 = 11

         -3    -3

= 2x = 8

 /2     /2

x = 4

Answer:

-64

64

49

Step-by-step explanation:

you didn't give any directions so i assume i am supposed to evaluate

Answer:

x = 81

Step-by-step explanation:

using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

given

[tex]log_{3}[/tex] x = 4 , then

x = [tex]3^{4}[/tex] = 81

Answer:

69

Step-by-step explanation:

We substitute x with 3:

7(3)²+2(3)=

7(9)+6=

63+6=

69

Answer:

69

Step-by-step explanation:

7(9) + 6

63 + 6

69

I put the lines around the 9 to keep the 7 ant 9 separated and i dont get confused!

Have an amazing day!

PLS MARK BRAINLIEST!

Answer:

C) [tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

Slope can be found using the change in y over the change in x

-> See attached, it is difficult to type out here

[tex]\frac{-5--2}{3--1} =\frac{-5+2}{3+1} =\frac{-3}{4}[/tex]

Giving us an answer of C) [tex]\frac{-3}{4}[/tex]

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

The equation for slope is:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We can plug the given coordinates into the equation:

[tex]Slope=\frac{-5-(-2)}{3-(-1)}=\frac{-5+2}{3+1}=\frac{-3}{4}=-\frac{3}{4}[/tex]

Answer:

  A.  B ⇔ Y

Step-by-step explanation:

The names of congruent triangles list corresponding vertices in the same order. Here, when we say ΔABC ≅ ΔXYZ, we mean the triangles have corresponding vertices ...

  A ⇔ X

  B ⇔ Y . . . . . . answer choice A.

  C ⇔ Z

1. Eight more than a number 14 -> 14 + 8 = 22
2. Number decreased by 12 is 9 -> 9 + 12 = 21
3. 20 subtracted from walters age is 24 -> 24 + 20 = 44
4. Ten more than twice as jose's age is 24 -> (24-10)/2 = 7
5. x + 15 = 2x -> x = 15