Harold and his friend Bill each collect vintage action figures. Harold already has
18 action figures and adds 3 more figures to his collection each month. Bill
already has 24 action figures and adds 2 more to his collection each month. Let x
represent the number of months, and y represent the number of action figures.
Which equations can be used to find how long it will take before the friends each
have the same number of action figures?

9514 1404 393

Answer:

  y = -1/3x +(7 2/3)

Step-by-step explanation:

The 2-point form is a good place to start.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (6 -8)/(5 -(-1))(x -(-1)) +8

  y = -2/6(x +1) +8

  y = -1/3x +(7 2/3)

Answer:100 packs of gum

We take the gum that she have is X

we have the equation X x 1.25+ (150-X) x 1.5=200

=> x =100

Answer:

0

Step-by-step explanation:

When x is at 6 y is at 0

Answer:

24

Step-by-step explanation:

Answer:

16 might be correct but don't quote me on this...

Step-by-step explanation:

104-88=16

let me know if this is correct, Thanks! :-)

Answer:

C

Step-by-step explanation:

We can use the Pythagorean theorem [ a² + b² = c² ] to solve for the missing side length.

88² + b² = 104²

7744 + b² = 10816

b² = 3072

√b = √3072

b ≈ 55.43

Best of Luck!

Answer:

21

Step-by-step explanation:

its correct

Answer:

The probability that she takes out a red marble the first time and a green marble the second

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                [tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

Step-by-step explanation:

Step(i):-

Given a bag of marbles contains 5 red marbles, 5 green marbles, 5 yellow marbles and 5 blue marbles

Total balls n(S) = 5red +5green +5yellow + 5blue  =  20

Total numbers cases

                         n(S) = 20C₁ = 20 ways

Step(ii):-

Let E₁ be the event of drawing one red marble from 5 red balls

                       n(E₁) = 5C₁

Let E₂ be the event of drawing one green marble from 5 green balls

                       n(E₂) = 5C₁

The two events are independent events

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                =[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

Final answer:-

 The probability that she takes out a red marble the first time and a green marble the second

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                =[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

Answer:

d(-4) = -32

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

d(x) = 5x - 12

d(-4) is x = -4

Step 2: Evaluate

Answer:

This question does not make sense. Is their an image that needs to be included?

Step-by-step explanation:

Answer:

Angle EAT is acute

Step-by-step explanation:

Answer: Look below.

y = 3x + 12

Answer:

It is a two step equation

Step-by-step explanation:

First you have to solve the first part then solve the second part :)

Answer:

n ≥ − 5

Step-by-step explanation:

Move all terms containing  

n  to the left side of the inequality.

n + 2 ≥ − 3

Move all terms not containing  

n  to the right side of the inequality.

n ≥ − 5

The result can be shown in multiple forms.

Inequality Form: n ≥ − 5

interval Notation:  [ − 5 , ∞ )

Answer:

y = 1/3x - 1

Step-by-step explanation:

We can put this information in slope intercept form [ y = mx + b ], where m = slope and b = y-intercept. We are given both the slope and y-intercept so m = 1/3 and b = -1. Put this into the formula; y = 1/3x - 1

Best of Luck!

Answer:

Nearest $1: $34

Nearest $5: $35

Nearest $10: $30

Answer:

rounded to the nearest one is $40

Step-by-step explanation:

Answer:

i cant make a diagram but here i go.

Step-by-step explanation:

250-135=115

250-150=100

100+115=215

250-215=35

So your answer is that 45 people like both, 115like modern, 100 like folk song, and 35 like both.

Answer:

x = 2.5m/s.

Step-by-step explanation:

Given that F = 0.5 + 0.004(x + 50)(x – 2.5), where x is the speed in m/s and F is the force in N. To know the speed, x, with F = 0.5N, we have:

0.5 = 0.5 + 0.004(x + 50)(x – 2.5)

This gives

0.004(x + 50)(x – 2.5) = 0 (after adding –0.5 to both sides).

For the multiplication to be 0, (x + 50)(x – 2.5) = 0 because 0.004 is not equal to 0.

Hence

x = –50 or x = 2.5

Since it is said from the question that x is positive then x = 2.5m/s.

Answer:

B) 1/3

Step-by-step explanation:

Add up all the marbles

5 + 6 + 3 + 4 = 18 marbles

Make a fraction of the red marbles out of all the marbles

6/18

Simplify the fraction

1/3

Answer:

b

Step-by-step explanation:

chances of drawing a red is 6/18

6/18=1/3, so its B

Answer:

Step-by-step explanation:

the one on the bottom because

the orientation of the points do not change

Answer:

24.56

Step-by-step explanation:

Answer:

what are you looking for? Like the question?

Step-by-step explanation:

Answer:

[tex]2[/tex]

Step-by-step explanation:

[tex]4y=8x+3[/tex]

To identify the slope of the line, the equation must be in the format [tex]y=mx+b[/tex], in which [tex]m[/tex] is representative of slope.

Begin by dividing both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]4[/tex]:

[tex]y=2x+\frac{3}{4}[/tex]

[tex]m=2[/tex]

Therefore, the slope of the line is 2.

-

You can check your work by graphing, and identifying the "rise over run", of the graph. This can be done by counting the distance from one point your graph to another.

Answer:

C it wasnt hard

Step-by-step explanation:

9514 1404 393

Answer:

  the n-th root of the ratio of ending to starting values, less 1

Step-by-step explanation:

When I have starting and ending values over a time period, I usually use those directly in the exponential equation. If you're asked for a percentage growth rate, then you have to convert the growth factor to a growth rate.

__

The exponential equation can be written ...

  f(t) = (initial value) × ((final value)/(initial value))^(t/(time period))

In your example case, this would be ...

  f(t) = 2 × (20/2)^(t/18)

  f(t) = 2(10^(t/18)) . . . . . . simplified

__

To convert this to the form ...

  f(t) = 2(1 +(growth rate))^t

recognize that ...

  (1 +(growth rate)^t = (10^(1/18))^t

So, you need to find the value of ...

  10^(1/18) = 10^(1/18) ≈ 1.13646 = 1 + 13.646%

Then the growth rate is about 13.6% each week.

__

Sometimes, you want to use this in the form ...

  f(t) = (initial value)×(1 + (growth rate))^t

and sometimes you want the form ...

  f(t) = (initial value)×e^(kt)

When you solve for k, you find it is ...

  k = ln(1 + (growth rate)) . . . . . . . . where ln(x) is the natural logarithm of x

Here, that is ...

  k = ln(10^(1/18)) = ln(10)/18 ≈ 0.12792

__

Your final growth equation could be any of ...

  f(t) = 2(10^(t/18)) . . . . . . . my personal favorite, as no rounding is involved

  f(t) = 2(1.13646^t)

  f(t) = 2e^(0.12792t)

Answer:

To find the ratio you have to.....

Step-by-step explanation:

That was smooth. Thank you, have a nice day and happy holidays.

Answer:

ty

Step-by-step explanation:

Answer: ksbddbcxkdbdijc

Step-by-step explanation:

Answer:

im not sure but the answer might be the 3rd and 5th option if it isnt then tell me

Step-by-step explanation:

Have a great day everyone :)

Answer:

2 and 4

Step-by-step explanation: 4 because it is the average