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3 years ago

The area of a rectangular patio is (12x - 4) square units. What are possible dimensions of the patio?

1 answer:

4 0

You need two terms that multiply to (12x-4). The term on the outside needs to be a common multiple of 12 and 4. The common factors are 1, 2, and 4. Here are the following possible dimensions:
1(12x-4)
2(6x-2)
4(3x-1)
Hope this helps.

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2x+5y=11 and 4x+3y=1 solve with elimination

storchak [24]

Multiply you first equation by 2 to get 4x + 10y = 22
Now the x terms can be eliminated and cancelled out using elimination.
4x + 10y = 22
4x + 3y = 1

To eliminate you need to "subtract", so you need to multiply one of the equations by -1.

4x + 10y = 22
-4x -3y = -1
------------------
0 + 7y = 21
y = 3

Now plug 3 into either one of the equations to get x.

7 0

3 years ago

The number 64 has the property that it is divisible by its units digit. How many whole numbers between 10 and 50 have this prope

sineoko [7]

Answer:

$\large \boxed{17}$

Step-by-step explanation:

Let's call the numbers "tu", where t is the tens digit and u is the units digit.

We can solve this by the "brute force" method — examining each number to see if it satisfies the conditions.

$\begin{array}{cccl}\mathbf{u}&\mathbf{tu}& \textbf{Divisible by u} & \\0 &20, 30, 40 & 0 & \text{Division by zero is impossible}\\1 & 11, 21, 31, 41 & 4& \text{All numbers are divisible by one}\\2 & 12, 22, 32, 42 & 4 & \text{All even numbers are divisible by two}\\3 & 13, 23, 33, 43 & 1 &\text{Only 33 is divisible by three}\\4 & 14, 24, 34, 44 & 2 & \text{Only 24 and 44 are divisible by four}\\5 & 15, 25, 35, 45 & 4 & \text{Numbers ending in 5 are divisible by five}\\\end{array}$

$\begin{array}{cccl}6 & 16, 26, 36, 46 & 1 & \text{Only 36 is divisible by six}\\7 & 17, 27, 37, 47 & 0 & \text{None of the numbers is divisible by seven}\\8 & 18, 28, 38, 48 & 1 & \text{Only 48 is divisible by eight}\\9 & 19, 29, 39, 49 & 0 & \text{None of the numbers is divisible by nine}\\& \textbf{TOTAL =} &\mathbf{17}& \\\end{array}\\\text{$\large \boxed{\mathbf{17}}$ numbers between 10 and 50 are divisible by their units digit}$

5 0

2 years ago

Can you help me plz?

Ad libitum [116K]

With what because I cannot see the math or any subject of the answer you need

5 0

3 years ago

B-13=7 как решить этот уровнения

beks73 [17]

Answer:

b equals 20

Step-by-step explanation:

b - 13 = 7

7 + 13 = b

7 + 13 = 20

7 0

3 years ago

Determine what type of observational study is described. Explain. Researchers wanted to determine whether there was an associati

34kurt

Answer:

B. The observational study is a cross-sectional study because information is collected at a specific point in time.

Step-by-step explanation:

1) There are three types of Observational Studies: Case-control, cross-sectional and Cohort.

2) Since the researchers collected information from those 1800 adults at a certain time, then we can call it a cross-sectional study. It does not provide solid results since the research was not done over a period to collect further information. We don't know, for example, much more than what that association deeply mean.

3) If we wonder more, then the researchers would have to track those adults over a given period, i.e. a Cohort would be necessary.

4) Moreover, it's not "retrospective" for virtually every question, always makes us look back somehow, and it does not categorize a kind of observational study.

6 0

3 years ago