Sherry and Karl both started their hike with a small bottle filled with water. Tia started her hike with a larger bottle that was ½ full. At the end of the hike, Sherry and Tia's bottles were each half filled with water. Karl's bottle was ⅓ filled with water. Who has the most water left? Construct a math argument to support your answer.

Answers

Answer 1
Answer:

Answer:

Sherry is the wonner,winner, kark is burning


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From a list of ten books, how many groups of 4 books can be selected

Answers

From a list of ten books, 210 ways to select a group of 4 books.

What is a combination?

A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen.

The number of ways to select a group of 4 books from a list of 10 books can be calculated using the combination formula:

nCr = n! / (r! x (n-r)!)

Where n is the total number of items (in this case, 10 books) and r is the number of items to be selected (in this case, 4 books).

Plugging in the values, we get:

10C4 = 10! / (4! x (10-4)!)

= 10! / (4! x 6!)

= (10 x 9 x 8 x 7) / (4 x 3 x 2 x 1)

= 210

Therefore, there are 210 ways to select a group of 4 books from a list of 10 books.

To learn more about the combination;

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First you have all ten books, but then every time after, you loose one because you can't put the same book in the group twice.

10 * 9 * 8 * 7 = 5040 groups

Which expression is equivalent to 27x3 + 125?-)
A)
(3x - 5)(9x2 – 15x + 25)
B)
(3x - 5)(9x2 + 15x – 25)
0
(3x + 5)(9x2 - 15x + 25)
D)
(3x + 5)(9x2 + 15x – 25)
I need help solving this please

Answers

Answer:

your answer would be C hope it helps

HELP!!! Using a directrix of y = 2 and a focus of (3, −4), what quadratic function is created?

Answers

Answer:

The required quadratic function is y=-(1)/(12)(x-3)^2-1.

Step-by-step explanation:

The standard form of the parabola is

(x-h)^2=4p(y-k)

Where the focus is (h, k + p) and the directrix is y = k - p.

The directrix of y = 2 and a focus of (3, −4).

(h,k+p)=(3,-4)

On comparing both sides we get

h=3

k+p=-4                           ...... (1)

y=k-p

k-p=2                           ...... (2)

Add equation (1) and (2).

2k=-2

k=-1

Substitute k=-1 in equation (1).

(-1)+p=-4

p=-3

Therefore the equation of parabola is

(x-3)^2=4(-3)(y-(-1))

(x-3)^2=-12(y+1)

It can be rewritten as

y=-(1)/(12)(x-3)^2-1

Therefore the required quadratic function is y=-(1)/(12)(x-3)^2-1.

parabola with vertx (3,-1) that opens down

4(-3)(y+1)=(x-3)^2
y+1=(-1/12)(x-3)^2
y=(-1/12)(x-3)^2-1

What is the answer for this question?

Answers

Answer:

n = 12

Step-by-step explanation:

8 + (12) = 20

Answer:

20.

Step-by-step explanation:

To find the value of "n" in the equation 8 + n = 20, we can use the concept of solving for an unknown variable.

To isolate "n" on one side of the equation, we can subtract 8 from both sides:

8 + n - 8 = 20 - 8

This simplifies to:

n = 12

Therefore, the value of "n" in the equation 8 + n = 20 is 12.

In this equation, the value of "n" is 12 because when we add 8 to it, the result is 20.

Solve for all values of x by factoring.
x^2+6x+4= -2x+4

Answers

Answer:

0,-8

Answer explanation:

x^2+6x+4=-2x+4

or, x^2+6x+4+2x-4=0

or, x^2+8x=0

Therefore, x(x+8)=0

Either,

x=0

or,

x+8=0

x=-8

hence,x=0, -8

If shoppers enter a store at an average rate of r shoppers per minute and each stays in the store for average time of T minutes, the average number of shoppers in the store, N, at any one time is given by the formula N=rT. This relationship is known as Little's law.The owner of the Good Deals Store estimates that during business hours, an average of 3 shoppers per minute enter the store and that each of them stays an average of 15 minutes. The store owner uses Little's law to estimate that there are 45 shoppers in the store at any time.

Answers

Answer:

84

Step-by-step explanation:

The key to understanding these problems is having a firm idea about what the variables represent. The variable r, for example, has units of shoppers per minute. This means you will need to divide the number of shoppers by total minutes to calculate variable r.

Example:

“Little’s law can be applied to any part of the store, such as a particular department or the checkout lines. The store owner determines that, during business hours, approximately 84 shoppers per hour make a purchase and each of these shoppers spend an average of 5 minutes in the checkout line. At any time during business hours, about how many shoppers, on average, are waiting in the checkout line to make a purchase at the Good Deals Store?”

Let’s match units to variables:

“…shoppers spend an average of 5 minutes…” This sounds like the description of variable T. We now know that T = 5 in our problem.

“…approximately 84 shoppers per hour…” is close to the units needed for r; however, r is in shoppers per minute, not hour. To fix this, we convert 84 shoppers / 60 minutes = 1.4. We know that r = 1.4.

We want to know, “…about how many shoppers, on average…,” which are the units for N.

This paragraph was a long-winded way of asking you to solve for N! The actual math involved in this problem looks like the following:

N = rt

N = (1.4)(5)

N = 7