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tensa zangetsu [6.8K]
3 years ago
15

A rectangular swimming pool is 8 ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to

fill the swimming pool is 2304 cubic feet. Find the dimensions of the pool.
The smaller dimension of the pool is____ft and the larger dimension is____ft
Mathematics
1 answer:
AysviL [449]3 years ago
8 0

Answer:

<h2> length= 42, width=12, depth=8</h2>

Step-by-step explenation:

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43. Can you place ten lumps of sugar in three empty cups so that
erma4kov [3.2K]

Answer: No.

Step-by-step explanation:

We have 10 lumps of sugar, and we want to divide them into 3 cups, in such a way that there is an odd number of lumps in each cup.

This only can happen if we have 3 odd numbers such that the addition is equal to 10.

Now 10 is an even number, remember that even numbers can be written as:

2*k

where k is an integer number.

And odd numbers can be written as:

2*n + 1

where n is an integer.

Then we have 3 odd numbers, let's call them:

(2*n + 1), (2*k + 1) and (2*p + 1).

Now let's add them:

(2*n + 1) + (2*k + 1) + (2*p + 1).

2*(n + k + p) + 1 + 1+ 1

2*(n + k + p) + 2 + 1 =

2*(n + k + p + 1) + 1.

Now, the number n + k + p + 1 is an integer number, let's call it X, then we have that the addition of the 3 odd numbers is:

2*X + 1

This is an odd number

So for any 3 odd numbers that we add together, the result will always be an odd number.

Then is impossible to add 3 odd numbers and get 10 as the result (Again, 10 is an even number).

Then is not possible to have an odd number of lumps in each cup.

5 0
3 years ago
HELP ME OUT GUYS!!! Question is in the screenshot below.
TEA [102]

Answer:

the answer is

D.384 squared in

8 0
2 years ago
Find the solution to the system of equations algebraically. SHOW ALL WORK FOR FULL CREDIT! x+y=-6 xy=-7
Mekhanik [1.2K]
You can solve this by substitution: 

x + y = -6
y = -6-x
Substitute for y in  xy = -7:-
x(-6 - x) = -7
-x^2 - 6x = -7

x^2 + 6x - 7 = 0
(x + 7)(x - 1) = 0

so x = -7, 1

To find the values of y plug  these va;ues of x into the equation x + y = -6:-
when x = -7,  y = -6 + 7 = 1
when x =  1, y = -6 - 1 =  -7

so answer is  x = -7 and y = 1
  and              x = 1 and y = -7


4 0
3 years ago
Triangle X Y Z is shown. Angle X Y Z is 75 degrees and angle Y Z X is 50 degrees. The length of X Y is 2 and the length of X Z i
mihalych1998 [28]

Answer:

2.5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
An unknown radioactive element decays into non-radioactive substances. In 180 days the radioactivity of a sample decreases by 73
BigorU [14]

Answer:

  • half-life: 95.3 days
  • 60% life: 70.2 days

Step-by-step explanation:

a) The proportion remaining (p) after d days can be described by ...

  p = (1 -0.73)^(d/180) = 0.27^(d/180)

Then p=1/2 when ...

  0.50 = 0.27^(d/180)

  log(0.50) = (d/180)log(0.27)

  180(log(0.50)/log(0.27) = d ≈ 95.3

The half-life is about 95.3 days.

__

b) For the proportion remaining to be 60/100, we can use the same solution process. In the end, 0.50 will be replaced by 0.60, and we have ...

  d = 180(log(0.60)/log(0.27) ≈ 70.2 . . . days

60 mg will remain of a 100 mg sample after 70.2 days.

8 0
3 years ago
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