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3 years ago

Consider this equation:

Mathematics

1 answer:

aleksandrvk [35]3 years ago

4 0

Answer:

Plan: separate the variable term from the constant term; divide by the coefficient of the variable.
Steps: add 4 to both sides; collect terms; divide both sides by 3.

Step-by-step explanation:

The first step is to look a the equation to see where the variable is in relation to the equal sign, and whether there are any constants on that same side of the equal sign.

Here, the variable terms are on the left, and there is a constant there, as well. The plan for solving the equation is to eliminate the constant that is on the same side of the equation as the variable, then divide by the coefficient of the variable. To find that coefficient, we need to collect terms. In summary, the plan is to ...

add 4 to both sides of the equation
collect terms
divide by the coefficient of the variable (3)

Executing that plan, the steps are ...

-2x -4 +5x +4 = 8 +4 . . . . add 4

3x = 12 . . . . . . . . . . . . . . . collect terms

x = 4 . . . . . . . . . divide by 3

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Ji and Layla played a game in which they scored 10 points for a correct answer and lost 20 points for an incorrect answer. Ji an

Finger [1]

Layla had the higher score by 20 points.

Step-by-step explanation:

Given,

Points for correct answer = 10 points

Points for incorrect answer = 20 points

Loss means subtraction;

Therefore,

Total points of Ji = Correct answers*10 - Incorrect answers*20

Total points of Ji = 7*10 - 3*20

Total points of Ji = 70 - 60

Total points of Ji = 10 points

Total points of Layla = Correct answers*10 - Incorrect answers*20

Total points of Layla = 5*10 - 1*20

Total points of Layla = 50 - 20

Total points of Layla = 30 points

Difference = Points of Layla - Points of Ji

Difference = 30 - 10 = 20 points

Layla had the higher score by 20 points.

Keywords: multiplication, subtraction

Learn more about subtraction at:

#LearnwithBrainly

6 0

3 years ago

A GP has 8 terms, it's first and last terms are 0.3 and 38.4/, calculate the common ratio

gladu [14]

Answer: The right answer is 2

Step-by-step explanation:

Write out the expression

T1; a = 0.3 ------------ (I)

T8; ar^7 = 38.4 ------------ (ii)

Substituting for 'a' in the second equation, we have;

0.3r^7 = 38.4

Divide both sides by 0.3

r^7 = 38.4/0.3

r^7 = 128

r = (128)^1/7

r = 2

5 0

3 years ago

Prove : (sec θ - tan θ )^2 = 1 - sin θ /1+sin θ

labwork [276]

$(sec x - tan x)^2 \\ \\ = sec^2x - 2 sec x tan x + tan^2 x \\ \\ =(1+tan^2 x) - 2 sec x tan x +tan^2 x \\ \\ =1 - 2 sec x tan x + 2 tan^2 x \\ \\ = 1 - 2tan x(sec x - tan x) \\ \\ =1 - \frac{2 sin x}{cos x} (\frac{1-sin x}{cos x}) \\ \\ = 1 - \frac{2 sin x (1-sin x)}{cos^2 x} \\ \\ =1 - \frac{2 sin x (1-sin x)}{1-sin^2 x} \\ \\ =1 - \frac{2 sin x (1-sin x)}{(1-sin x)(1+sin x)} \\ \\ =1-\frac{2 sin x}{1+sin x}$

3 0

2 years ago

Mohit pays rupees 9000 as an amount on the sum of rupees 7000 that he had borrowed for 2 years.

Sphinxa [80]

Answer:

The required rate of interest = 14.285%

Step-by-step explanation:

Here, The principal amount = 7,000

The final paid amount = 9,000

Time = 2 years

Let us assume the rate of interest = R

Now, Simple Interest = Amount - Principal

= 9,000 - 7,000 = 2,000

So, the SI on the given principal for 2 years = 2,000

$\textrm{SIMPLE INTEREST } = \frac{P \times R \times T}{100}\\\implies 2000 = \frac{7,000 \times R \times 2}{100}\\\implies R = \frac{2,000 \times 100}{7,000 \times 2} = 14.285$

or, R = 14.285%

Hence, the required rate of interest = 14.285%

8 0

3 years ago

You are going to decorate one wall of your bedroom by putting a border along the top. The wall is a square wall with an area of

e-lub [12.9K]

Answer:

16 ft

Step-by-step explanation:

Each edge of wall = √256 ft = 16 ft

5 0

2 years ago