Diego is inviting some friends over to watch movies. He is buying popcorn and peanuts. Popcorn costs 6 cents per ounce and peanuts cost 17 cents per ounce.

Answer:

 Number & Cost($)

 Feet & Yards

Step-by-step explanation:

  Number & Cost:

      (2, 38), (4, 76)            <====== pick any two point to find constant

      constant = (y₂ - y₁) / (x₂ - x₁)

                     = (76 - 38) / (4 - 2)

                     = 38 / 2

                     = 19             <====== k the constant

      y = kx

      y = 19x

      point (2, 38):    38 = 19(2)   ===>      38 = 38

      point (4, 76):    76 = 19(4)   ===>      76 = 76

      point (7, 133):  133 = 19(7)   ===>    133 = 133

      point (9, 171):   171 = 19(9)   ===>     171 = 171

  Feet & Yards:

      (27, 9), (75, 25)            <====== pick any two point to find constant

      constant = (y₂ - y₁) / (x₂ - x₁)

                     = (25 - 9) / (75 - 27)

                     = 16 / 48

                     = 1/3             <====== k the constant

      y = kx

      y = 1/3x

      point (3, 1):           1 = 1/3(3)      ===>     1 = 1

      point (12, 4):        4 = 1/3(12)    ===>     4 = 4

      point (27, 9):       9 = 1/3(27)   ===>     9 = 9

      point (75, 25):   25 = 1/3(75)   ===>   25 = 25

Answer:

33

Step-by-step explanation:

118 - 85 = 33

Answer:

$27

Step-by-step explanation: because $85 plus $27 equals $118. Hope this helps!

Answer:

4th one

Step-by-step explanation:

if you add them

Answer:

Is A

Step-by-step explanation:

(2-4)/(-2--6) = -1/2

And the only answer that has -1/2 as the slope is A

Answer:

The Answer is J because 1 1/2 or 1.5 times itself equals 2 1/4 or 2.25

Answer:

J

Step-by-step explanation:

It is the only answer choice in which the value increases.

Hi there!

[tex]\large\boxed{B. \text{ } x = 2(y + 3)^{2} -2}[/tex]

The transformation formula of a horizontal-facing parabola is:

x = ±a(b(y - k)) + h, where the vertex is at (h, k).

Looking at the graph, we can see a vertex at (-2, -3) with a stretch of 2. The graph is also pointed towards the RIGHT, which means that the coefficient "a" must be positive. Therefore:

The only logical answer choice is B, or x = 2(y + 3)² - 2.

The formula indicates that:

* Vertex at (-2, -3)

* Stretch of 2

* Right-facing parabola

Answer: x=2

Step-by-step explanation: Subtract

3

3

3

from both sides of the equation

2

+

3

=

+

5

2

x

+

3

=

x

+

5

2x+3=x+5

2

+

3

−

3

=

+

5

−

3

2

x

+

3

−

3

=

x

+

5

−

3

2x+3−3=x+5−3

2

Simplify

Subtract the numbers

Subtract the numbers

2

=

+

2

2

x

=

x

+

2

2x=x+2

3

Subtract

x

x

from both sides of the equation

2

=

+

2

2

x

=

x

+

2

2x=x+2

2

−

=

+

2

−

2

x

−

x

=

x

+

2

−

x

2x−x=x+2−x

4

Simplify

Combine like terms

Multiply by 1

Combine like terms

Answer:

x = √48

Step-by-step explanation:

[tex] ({3}^{ \frac{x}{2} } )( {3}^{ \frac{x}{4} }) = 3 {}^{6}[/tex]

[tex] {3}^{ \frac{x}{2} \times} {}^{ \frac{x}{4} } = 3 {}^{6} [/tex]

[tex]3 {}^{ \frac{ {x}^{2} }{8} } = 3 {}^{6} [/tex]

[tex] \frac{ {x}^{2} }{8} = 6[/tex]

[tex] {x}^{2} = 6 \times 8[/tex]

[tex] {x}^{2} = 48[/tex]

[tex]x = \sqrt{48} [/tex]

Answer:

(tan(theta)-1)^3

= (tan(theta)-1)(tan(theta)-1)(tan(theta)-1)

= (tan^2(theta)-2tan(theta)+1)(tan(theta)-1)

= tan^3(theta)-2tan^2(theta)+tan(theta)-tan^2(theta)+2tan(theta)-1

= tan^3(theta)-3tan^2(theta)+3tan(theta)-1

Hope this helps :)

Answer:

yes

Step-by-step explanation:

Answer:

The rate of change is increasing, or positive

Step-by-step explanation:

Attached is a link of Mr.Slope, he always helps me.

Answer:

59.40

Step-by-step explanation:

it takes .33 seconds to walk 1 foot so multiply that times 180 and you get 59.4

Answer:

40

Step-by-step explanation:

1.Kknow the following information;

Remember, the sum of degrees of angles in a triangle is 180.

So say if a traingle contained;

<1, <2, <3,

Then:

<1 + <2 + <3 = 180

2. State the given, and set up an equation;

In this case, it is given that;

<1 = 115

<2 = 25

Therefore, set up the equation;

115 + 25 + <3 = 180

3. Solve the equation;

115 + 25 + <3 = 180

Simplify,

140 + <3 = 180

Inverse operations,

140 + <3 = 180

-140          -140

<3 = 40

Answer:

4/5

Step-by-step explanation:

Answer:

y < 5

Step 1: Subtract 5y from both sides.

7y+2−5y<5y+12−5y

2y+2<12

Step 2: Subtract 2 from both sides.

2y+2−2<12−2

2y<10

Step 3: Divide both sides by 2.

[tex]\frac{2y}{2}[/tex]  < [tex]\frac{10}{2}[/tex]

= y < 5

Answer:

37 dimes

Step-by-step explanation:

i was experimenting. 17 quarters and 37 dimes. 17 times .25 is 4.25. 37 times .10 is 3.70. add them and it's correct.

Answer:

Step-by-step explanation:

Step one:

given

let the original price of the be x

discount = 30%

30 of x is $60

Step two:

Mathematically

30/100*x=60

0.3x=60

divide both sides by 0.3

x=60/0.3

x=200

Hence the original price of the dress is $200

The graph in the question is missing.

Answer:

y  = [tex]\frac{-1}{4}( x^3 + 2x^2 - 32x -96)[/tex]

Step-by-step explanation:

The function is cubic

It has roots as -4, -4 , 6

this means the value of x = -4, -4 , 6 which makes the entire equation zero

so we have solutions as

x+4 = 0

x+4 = 0

x- 6 = 0

on forming a cubic equation using these

(x+4)(x+4)(x-6)

the equation passes through (2,36)

put x = 2

(2+4)(2+4)(2-6) = (6)*(6)*(-4)

which exceeds 36 so we product the equation with -1/4 to get 36

Final equation

y = [tex]\frac{-1}{4} (x+4)(x+4)(x-6)[/tex]

  y  = [tex]\frac{-1}{4}( x^3 + 2x^2 - 32x -96)[/tex]

Answer:

n= 13

Step-by-step explanation:

.................

Answer:

n=13

Step-by-step explanation:

because 26 is a negative you know that n has to be a positive so you subtract 13 from 26 and that's your answer

Answer:

he should budget about $51.22

Step-by-step explanation:

annual mean one year since there is 12 months in a year you would want to divide 12 to $614.66

Answer:

i think it's $51.22 Cause it said annual which means one year and it has 12 months so the actual price devide by 12

am not that sure tho cause the question is tricky

Answer:

i am wrong dont do what i am doing

Step-by-step explanation:

Answer:

561

Step-by-step explanation:

I think... (I don´t get this question...)

Answer:

y = -.3x + 1.5

Step-by-step explanation:

See attached Screenshot using Desmos to write equation.

Answer:h

Step-by-step explanation:

Answer:

hgyuu by 7vb j 8gv c ryuug

Answer:

81

Step-by-step explanation:

I just added the 52 and 29 together.

Answer:

i THINK this is correct

Step-by-step explanation:

x = 13

Answer:

I think its 13

Step-by-step explanation:

because the line above it which is 18 looks like the same length. So I would subtract 5 from 18 to get 13. because 13+5 is 18. Good luck!!