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scZoUnD [109]
2 years ago
7

Identify the properties used in Step 1 and Step 2 to solve the equation shown. Then discuss why those properties were used. Prob

lem: Steps: 2x + 6 = 22 Given problem 2x = 16 (1) Identify and discuss the property that was used. x = 8 (2) Identify and discuss the property that was used.
Mathematics
2 answers:
noname [10]2 years ago
8 0

Answer:

can you make it more clear?

Step-by-step explanation:

Alex Ar [27]2 years ago
7 0
<h3>Step-by-step explanation:</h3>

<u>Step</u>                <u>Property</u>

2x+6 = 22       given

2x = 16            addition property of equality (-6 added to both sides)

x = 8                multiplication property of equality (both sides × 1/2)

_____

In general equations are solved by reversing the steps done to the variable. Here, the variable (x) is multiplied by 2 and 6 is added to that product. So, to find x, we undo the addition of 6 (by adding -6, the additive inverse), and undo the multiplication by 2 (by multiplying by 1/2, the multiplicative inverse).

If other functions were performed on the variable in the original equation, their inverse functions would be used, too, as part of the solution process.

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3^5 equals 243. Explain how to use that fact to quickly evaluate 3^6.
OlgaM077 [116]

Answer:

Simply multiply 243 with 3.

Step-by-step explanation:

3^6=729

243*3=729

4 0
3 years ago
Read 2 more answers
Find the area of following rhombuses. Round your answers to the nearest tenth if<br> necessary.
polet [3.4K]

Answer:

Area =55.4ft^2

Step-by-step explanation:

Given

The attached rhombus

Required

The area

First, calculate the length of half the vertical diagonal (x).

Length x is represented as the adjacent to 60 degrees

So, we have:

\tan(60) = \frac{4\sqrt 3}{x}

Solve for x

x = \frac{4\sqrt 3}{\tan(60)}

\tan(60) = \sqrt 3

So:

x = \frac{4\sqrt 3}{\sqrt 3}

x = 4

At this point, we have established that the rhombus is made up 4 triangles of the following dimensions

Base = 4\sqrt 3

Height = 4

So, the area of the rhombus is 4 times the area of 1 triangle

Area = 4 * \frac{1}{2} * Base * Height

Area = 4 * \frac{1}{2} * 4\sqrt 3 * 4

Area =2 * 4\sqrt 3 * 4

Area =55.4ft^2

7 0
3 years ago
Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 3.2 × 105
Oliga [24]

The hours it would take to type 3.2 x 10^5 words is 1.33 x 10^2  hours.

<h3>How many hours would it take to type 3.2 x 10^5 words?</h3>

Standard form is used in expressing large numbers in smaller numbers. It is used to transform large numbers into smaller number.

In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

For example: 1 x 10² is equivalent to 100

The first step is to determine how many words he can type in 1 hour : 40 x 60 = 2400 words = 2.4 x 10³

The second step is to divide 3.2 x 10^5 words by 2.4 x 10³

3.2 x 10^5 ÷ 2.4 x 10³ = 1.33 x 10^(5 - 3)

1.33 x 10^2  hours

To learn more about standard form, please check: brainly.com/question/25334755

#SPJ1

3 0
1 year ago
What is the solution to the equation below? Round your answer to the two decimal places 24 log2x=60
Paladinen [302]

Answer: 158.11

Step-by-step explanation:

I've attached the solution

7 0
3 years ago
Read 2 more answers
5 ports Use absolute value to express the distance between -12 and -15 on the number line. |-12 - (-15) = -27​
zloy xaker [14]

Answer:

Distance = 3

Step-by-step explanation:

Given

-12 and -15

Required

Solve the difference

The question you posted included the solution. However, the solution is incorrect;

The absolute difference is represented as:

Difference = \vert a - b \vert

In this case:

a = -12

b = -15

So, the distance is calculated as:

Distance = |-12 - (-15)|

Open bracket

Distance = |-12 +15|

Distance = |3|

Distance = 3

3 0
2 years ago
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