The cafe sells Beetle Juice and Potion Punch. A cup of Beetle Juice costs $2.50 and a cup of Potion Punch costs $3. Owen ordered 5 drinks for his group and spent $14. Write a system of equations to find the number of cups of beetle juice, j, and potion punch, p, that Owen purchased.

Answer:

  a[1] = 100

  a[n] = 1.05·a[n -1]

Step-by-step explanation:

The given terms do not have a common difference, but do have a common ratio. Each is 1.05 times the previous. This is expressed in a recursive relation as ...

  a[1] = 100

  a[n] = 1.05·a[n -1]

Answer:

21

Step-by-step explanation:

his ratio of shots from the first game would be 14:40 or 7:20

so if he made the same ratio from 60 shots it would be

21:60

Answer:

x^3-x^2-10x-8

Multiply each term in the first expression by each term in the second expression and combine like terms.

Answer:

x=-9/28

Step-by-step explanation:

-4(-6x-3)+4x=3

24x+12+4x=3

28x+12=3

28x=-9

x=-9/28

Answer:

x = -9/28

Step-by-step explanation:

Therefore, the solution is 'x = -9/28'.

Hoped this helped.

Answer:

54u - 9v + 45

Step-by-step explanation:

distributive property

Answer:

Step-by-step explanation:

This is a proportional relationship as the line passes through the origin.

Therefore you can use one point to determine the slope, (2, 4):

The slope is 2. It is a 2 laps per minute.

Correct answer choice is B

Slope

Rate is 2 laps every minute

38.50/7 = $5.50 for each cases of water Heather bought.

Answer:

$5.50 / case

Step-by-step explanation:

Here we're finding the 'unit cost' $38.50 / (7 cases) = $5.50 / case

Solve from right to left

[tex]\\ \sf\Rrightarrow 0.02349[/tex]

[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]

[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]

Option C is correct

The one-time entry fee is $12.

In order to determine the one-time entry fee, two equations have to be formed from the information in the question:

x + 5y = 42 equation 1

x + 7y = 54  equation 2

Where:

x = one-time entry fee

y = cost to pick an apple per pound

In order to determine the one-time entry fee, take the following steps:

Multiply equation 1 by 7 and equation 2 by 5.

7x + 35y = 294 equation 3

5x + 35y = 270 equation 4

Subtract equation 4 from equation 3

2x =24

Divide both sides of the equation by 2

x = $12

To learn more, please check: brainly.com/question/23589883

The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].

Given that,

The graphs of f(x) = 10x and its translation, g(x), are shown.

We have to determine,

What is the equation of g(x)?

According to the question,

The given graphs of two functions f(x) and g(x).

The function f(x) is an exponential function and is given by:

[tex]\rm f(x) = 10^x[/tex]

To find the equation for the transformed function g(x).

We could see that the graph of the function g(x) passes through points (3,1), (4,10), (5,100), and so on.

This means that the equation or the expression for the function g(x) is given by:

[tex]\rm g(x) = 10 ^{x-3}[/tex]

Substitute the value of x = 3 in the function g(x),

[tex]\rm g(x) = 10 ^{x-3}\\\\g(3) = 10^{3-3}\\\\g(3) = 10^0\\\\g(3) = 1[/tex]

Substitute the value of x = 4 in the function g(x),

[tex]\rm g(x) = 10 ^{x-3}\\\\g(4) = 10^{4-3}\\\\g(3) = 10^1\\\\g(3) = 10[/tex]

Hence, The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].

For more details refer to the link given below.

https://brainly.com/question/13148696

Answer:

the answer is a g(x)= 10x^-3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Each tick = + or - 2 depending on which quadrant and axis

So the first line (the slanted one) intersects the y axis at (0,5) and continues until (2,5)

Then the line becomes straight (the y remains constant) from (2,5) (the points x value is 2) to (2,10) (the points x value is now 10)

Answer:

First option (top left)

Step-by-step explanation:

Since the coefficient of this equation, [tex]2(3)^{x}[/tex], is 2, when x is 0, then y must be 2. The graph must have a y-intercept of 2. You can find this by plugging this in.

I cannot see the fourth graph, but the second graph does not have a y-intercept of 2, therefore it can immedeately be ruled out.

Then we plug in the coordinates they give.

It just so happens that the first one, [tex]2(3)^1[/tex] is indeed equal to 6.

We can check that this is right by disproving the third one (top right).

[tex]2(3)^2=18[/tex], not 8, therefore our third answer choice is false.

The fourth one is definetly wrong because the y-value at x=2 (as we have already calculated) is 18, not 12.

Therefore, our first answer, the one on the top left, is correct.

note: for this problem you did not even need to find the y-intercepts. Plugging in the coordinates would be fine by its own (the second answer choice is already wrong just because of the coordinates since 9≠6(found in answer choice 1)). However, having the y-intercept handy will be very helpful if there is more than one answer choice with correct coordinates.

Answer:

sequence B

Step-by-step explanation:

Answer:

IT SHALL BE Bbbbbbbbbbbbbbbbbbbbbbbbbbbb

HoPe ThIs HeLpS

Answer:

Supplementary Angles

x = 62

Step-by-step explanation:

Supplementary angles equal 180.

180 - 118 = 62

I hope this helps!

Answer:

[tex]B.~2x^2-8x-24[/tex]

Step-by-step explanation:

FOIL the terms and then add like terms.

[tex]2x\cdot x=2x^2\\2x\cdot -6=-12x\\4\cdot x=4x\\4\cdot -6=-24\\\\2x^2-12x+4x-24\\2x^2-8x-24[/tex]

Answer:

4 feet

Step-by-step explanation:

I dont know if its right but i hope it is!

Answer:

this has to do with trial and error

since N=21÷3-3

so 21÷3-3=4

therefore N=4

substitute for N

2×4=8

8×3=24

therefore 24÷3=2×4

Answer

A

Step-by-step explanation:

The linear function defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given series is -4, -1, 2, 5, 8. The common difference of the series is  calculated as,

d = -1 - ( -4 )

d = -1 + 4

d = 3

The equation will be written as,

an = a₁ + d(n - 1)

an = -4 + 3(n - 1)

Therefore, the linear function that defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.

To know more about arithmetic progression follow

https://brainly.com/question/6561461

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The equilibrium constant of the reaction is 0.0030.

The equation of the reaction is given as;

N2(g) + 3H2(g) ⇆ 2NH3 (g)

We have the following information at equilibrium;

[NH3] = 0.105 M

[N2] = 1.1 M

[H2] = 1.50 M

Hence, we can calculate the equilibrium constant using the relation;

K = [NH3]^2/ [N2]  [H2]^3

Substituting values;

K = [0.105]^2/[ 1.1] [1.50]^3

K =0.011025 /3.7125

K= 0.0030

Learn more: https://brainly.com/question/17960050

Answer:

[tex](\sqrt[3]{5})^2=5^\frac{2}{3}[/tex]

Step-by-step explanation:

[tex](\sqrt[3]{5})^2[/tex]

[tex](5^{\frac{1}{3}})^2[/tex]

[tex]5^{\frac{1}{3}*2}[/tex]

[tex]5^\frac{2}{3}[/tex]

Remember that [tex](\sqrt[a]{x})^b=x^\frac{b}{a}[/tex]

Answer:

Angle J is congruent to Angle G

Answer:

Step-by-step explanation:

Try .83

8 + 3 = 11

8*3    = 24

.84> 1/2

Answer:

w = [tex]\frac{a}{6}[/tex]

Step-by-step explanation:

6w= a

----   ----

6      6

w = [tex]\frac{a}{6}[/tex]

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

Hi there! :)

5-2b when b=-1; 3.

5-2(-1)

5+2

7

5-2(3)

5-6

-1

3(x+8)

3x+24

Hope it helps!

~Answer given by

An Unknown Dreamer

Good luck.

Answer:

71/120

Step-by-step explanation: