All categories

3 years ago

What property is used to change the sum of 18+6 to the equivalent expression 6(3+1)

Mathematics

1 answer:

Fittoniya [83]3 years ago

7 0

The distributive property is used to get the equivalent expression

Step-by-step explanation:

The properties on mathematical expressions are used to simplify or elaborate the expressions.

One of the propoerties is distributive properties

The distributive property states that:

Let a, b and c be three integers then

a(b+c) = ab+ac

The property can be used both ways

In given expression

18+6

$= 6.3+ 6.1\\=6(3+1)$

The distributive property is used to get the equivalent expression

Keywords: Properties

Learn more about properties at:

#LearnwithBrainly

You might be interested in

Which one weighs more a pound of bricks or a pound of cotton balls?

lianna [129]

Neither because they bot weigh a pound

6 0

2 years ago

Read 2 more answers

the diagram shows a rectangle four of these rectangles are put to together as shown calculate the shaded area

yawa3891 [41]

Answer:

42cm squared

Step-by-step explanation:

You are taking 2 x 0.5cm of the smaller sides rectangles which is 1. Then what is left is 6x7 which is 42cm squared

6 0

3 years ago

What is wrong with the following proof? Clearly we know that 1 does not equal 2. What rule of algebra did we break that makes th

Gnoma [55]

An attempt to divide by zero gives a contradictory result

A rule of algebra broken is <u>dividing by zero</u> (leading to a contradiction) and stating a finite result

Reason:

The given calculation is presented as follows;

1. a > 0, b > 0 given

2. a = b given

3. a·b = b²

4. a·b - a² = b² - a²

5. a·(b - a) = (b + a)·(b - a)

6. a = b + a

7. 0 = b

8. b = 2·b

9. 1 = 2

From line 4, the result are;

4. a·b - a² = b² - a² = 0

5. a·(b - a) = (b + a)·(b - a) = 0

On line 6, both sides where divided by (b - a) = 0, which should given an infinite result

Therefore, one rule of algebra broken is dividing by zero to get a finite result

In line 7, we have;

7. 0 = b

From 6. a = b + a, and a = b, we have;

8. b = 2·b

Therefore, line 9 should be;

9. 0 = 2·0; 0 = 0, given that we have;

1 × 0 = 0

2 × 0 = 0

∴ 1 × 0 = 2 × 0

However

1 ≠ 2

In line 9., by dividing by b = 0, again, we have;

9. 1 = 2 (a contradiction)

Therefore, one rule of algebra that is broken is <u>dividing by zero</u> and having a finite result

Learn more about the rules of algebra here:

brainly.com/question/11388301

5 0

3 years ago

A 10-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate

Alex777 [14]

Answer:

The area is changing at 15.75 square feet per second.

Step-by-step explanation:

The triangle between the wall, the ground, and the ladder has the following dimensions:

H: is the length of the ladder (hypotenuse) = 10 ft

B: is the distance between the wall and the ladder (base) = 6 ft

L: the length of the wall (height of the triangle) =?

dB/dt = is the variation of the base of the triangle = 9 ft/s

First, we need to find the other side of the triangle:

$H^{2} = B^{2} + L^{2}$

$L = \sqrt{H^{2} - B^{2}} = \sqrt{(10)^{2} - B^{2}} = \sqrt{100 - B^{2}}$

Now, the area (A) of the triangle is:

$A = \frac{BL}{2}$

Hence, the rate of change of the area is given by:

$\frac{dA}{dt} = \frac{1}{2}[L*\frac{dB}{dt} + B\frac{dL}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} + B\frac{d(\sqrt{100 - B^{2}})}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} - \frac{B^{2}}{(\sqrt{100 - B^{2}})}*\frac{dB}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - 6^{2}}*9 - \frac{6^{2}}{\sqrt{100 - 6^{2}}}*9]$

$\frac{dA}{dt} = 15.75 ft^{2}/s$

Therefore, the area is changing at 15.75 square feet per second.

I hope it helps you!

5 0

3 years ago

Clothing donations are collected to help a family in need. The function g(x) represents the number of items collected where x is

ser-zykov [4K]

Answer:

No g(x) = x/6 for (60, 10) to be a possible solution

by this function 60 people would have to donate 1/6th of a garment each to achieve 10 full garments

Step-by-step explanation:

g(x) number of items

x number of people

the data point (60, 10) make sense as a possilbe solution NO

g(x) = number of items x = 60 g(x) = 10

g(60) = x/6 = 10

= 60/10

by this function 60 people would have to donate 1/6th of a garment each to achieve 10 full garments

4 0

2 years ago