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4 years ago

what properties were used to write the numeric statement (18 - 5) + (432 x 15) = (15 x 432) + (18 - 5)

Mathematics

1 answer:

olga55 [171]4 years ago

7 0

Answer:

The properties that have been used are the;

commutative property of addition

commutative property of multiplication

Step-by-step explanation:

The commutative property of addition can be stated algebraically as follows;

a + b = b + a

where a and b are any real numbers

On the other hand, the commutative property of multiplication can be stated algebraically as follows;

a * b = b * a

where a and b are any real numbers

If we let 18 - 5 = a, 432 = m and 15 = n, then we have;

a + (m * n)

Using the commutative property of addition, the expression can be written as;

(m * n) + a

Using the commutative property of multiplication, the term in brackets can be written as;

(m * n) = (n * m)

Combining the two properties we find that;

a + (m * n) = (m * n) + a = (n * m) + a

Therefore, (18 - 5) + (432 x 15) = (15 x 432) + (18 - 5)

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The Turtle and Achilles compete. They start at the same time from the same place. Achilles runs at a speed of 13 mph while the T

grandymaker [24]

Answer:

2 minutes.

Step-by-step explanation:

Let t be the time taken in competition and the distance covered by Achilles be x miles.

We have been given that when Achilles reaches the finish line, the Turtle is 2/5 of a mile behind him. This means that distance covered by turtle will be: $x-\frac{2}{5}$ .

Achilles runs at a speed of 13 mph while the Turtle moves at a speed of 1 mph.

Since we know that $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$ , so we can set two equations for time taken by Achilles and turtle as:

$t=\frac{x}{13}...(1)$

$t=\frac{(x-\frac{2}{5})}{1}...(2)$

From equation (1) we will get,

$x=13t$

Upon substituting this value in equation (2) we will get,

$t=\frac{13t-\frac{2}{5}}{1}$

Let us have a common denominator.

$t=\frac{\frac{65t-2}{5}}{1}$

$t=\frac{65t-2}{5}$

Upon multiplying both sides of our equation by 5 we will get,

$5t=5\times \frac{65t-2}{5}$

$5t=65t-2$

$5t-65t=65t-65t-2$

$-60t=-2$

$t=\frac{-2}{-60}$

$t=\frac{1}{30}$

So, the competition took 1/30 hour, let us convert our given time in minutes.

$\frac{1}{30}\text{ hour}\times \frac{60\text{ minutes}}{\text{hour}}$

$\frac{1}{30}\times 60\text{ minutes}$

$2\text{ minutes}$

Therefore, the competition took 2 minutes.

8 0

3 years ago

SOLVE THE INEQUALITY -X/7+ 4 ≥ 3X A. x ≤ 14/11 B. x ≤ 2/5 C. x ≤ 2/1 D. x ≥ –1

Mrrafil [7]

You can eliminate fractions by multiplying the whole thing by 7.

... -x +28 ≥ 21x

Now, add x to get all x-terms on the right. Then, divide by the coefficient of x.

... 28 ≥ 22x

... 28/22 ≥ x

This fraction can be reduced, so we have ...

... A. x ≤ 14/11

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3 years ago

What is the value of |-3.25| And |-4.25|

Yakvenalex [24]

The values are |-3.25| = 3.25 and |-4.25| = 4.25

<h3>How to determine the values of the expressions?</h3>

The expressions are given as

|-3.25| and |-4.25|

The above expressions are absolute value expressions

And as a general rule, an absolute value expression, when evaluated must follow the following rule

|±a| = a

Using the above as a guide, we have

|-3.25| = 3.25

Also, we have

|-4.25| = 4.25

Hence, the values of the expressions are |-3.25| = 3.25 and |-4.25| = 4.25

Read more about absolute value expressions at

brainly.com/question/13282457

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8 0

1 year ago

A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of $28. Opt

Karolina [17]

Option b!!!!!!!!!!!!!

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3 years ago

What is the equation of the line that passes through the point (3,5) and is perpendicular to the line x=4

Mamont248 [21]

Hello :
an equation is : y-5 = 0(x-3)....<span> perpendicular to the line x=4 ( parrallel to x-axis)
so ;
</span>y=5

7 0

3 years ago