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3 years ago

What property is shown in the equation below? 3a*9 c= 27ac?

Mathematics

2 answers:

Ad libitum [116K]3 years ago

8 0

Answer:

Identity property of multiplication

Step-by-step explanation:

Zepler [3.9K]3 years ago

7 0

Answer:

Option B) Commutative property of multiplication

Step-by-step explanation:

We are given the following information in the question:

$(3a)\times (9c) = 27ac$

We have to find the property of multiplication used in the above expression:

The multiplication is shown below:

$(3a)\times (9c) = 27ac\\=(3\times a)\times (9\times c)\\= 3\times (a\times 9)\times c\\= 3\times (9\times a)\times c\\=(3\times 9)\times a\times c\\=27ac$

We used the commutative property of multiplication.

Commutative property states that two numbers can be multiplied in any order

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1 foot = 12 inches

12 * 5 = 60 and 8 * 12 = 96

Therefore, 60 inches is a shorter length than 8 feet.

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Giant is selling Cereal at $8 for 3 boxes.what is the cost per box?

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Answer:

$2.67

Step-by-step explanation:

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The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square kilometers, find the dimensions

Art [367]

Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
$x(2x - 6) = 2 {x}^{2} - 6x$

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

$2 {x}^{2} - 6x = 108$
Subtract 108

$2 {x}^{2} - 6x - 108 = 0$
Divide by 2.

${x}^{2} - 3x - 54$
$(x - 9)(x + 6) = 0$
Rule AB = 0, gives A is 0 or B is 0.

$x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6$

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
$x = 9$
Width
$2x - 6 = 2 \times 9- 6 = 18 - 6 = 12$

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!

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3 years ago

17. Find the missing angle(s). soto \b Omg pls hurry I need help

Aleksandr-060686 [28]

Answer:

B = 50 & C = 130

Step-by-step explanation:

I really don't know how to explain but 180 - 50 = 130 for C and 50 is the measurement for B

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3 years ago

From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing s

Mnenie [13.5K]

Supposing 60 out of 100 scores are passing scores, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

The lower limit is 0.5.
The upper limit is 0.7.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

60 out of 100 scores are passing scores, hence $n = 100, \pi = \frac{60}{100} = 0.6$

95% confidence level

So $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so $z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7$

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

The lower limit is 0.5.
The upper limit is 0.7.

A similar problem is given at brainly.com/question/16807970

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3 years ago