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3 years ago

Solve for x. A. x = 12 B. x = 4 C. x = 3 D. x = 1

Mathematics

2 answers:

kakasveta [241]3 years ago

7 0

Answer:

4=x

Step-by-step explanation:

1/5( 2x+92) = 5x

Multiply each side by 5

5*1/5( 2x+92) = 5x*5

( 2x+92) = 25x

Subtract 2x from each side

2x+92-2x = 25x-2x

92 = 23x

Divide by 23

92/23 = 23x/23

4=x

svlad2 [7]3 years ago

7 0

Answer:

x = 4

Step-by-step explanation:

1/5 ( 2x + 92 ) = 5x

$\small \sf \frac{1}{5} × ( 2x + 92 ) = 5x \\$

distribute 1/5 through the parantheses

$\small \sf \frac{2}{5}x + \frac{92}{5} = 5x \\$

multiply both side of equation by 5

$\small \sf \frac{2}{5}x \times 5 + \frac{92}{5} \times 5 = 5x \times 5\\$

2x + 92 = 25x

Move all variables to the left hand side and change their sign

2x + 92 - 25x = 0

combine like terms

2x - 25x + 92 = 0

calculate

-23x + 92 = 0

Move all the constant to the right side and change their sign

-23 x = - 92

divide both side by -23x

-23x / -23 = -92/-23
x = 4

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You deposit $200 in an account earning 3.5% simple interest how long will it take for the balance of the account to be $221

Rus_ich [418]

It takes 3 years for the balance of account to be $ 221

Solution:

From given information,

Principal = $ 200

Rate of interest = 3.5 %

Amount after "n" years = $ 221

To find: number of years

In simple Interest,

Simple interest = amount earned - principal

Simple interest = 221 - 200 = 21

Thus simple interest earned is $ 21

The formula for simple interest is given as:

$simple\ interest = \frac{ p \times n \times r}{100}$

Where,

p is the principal

n is the number of years

r is the rate of interest per annum

Substituting the given values in formula,

$21 = \frac{200 \times n \times 3.5}{100}\\\\21 = 2n \times 3.5\\\\n = \frac{21}{7}\\\\n = 3$

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7 0

3 years ago

A triangular playground has sides that are lengths 2x feet, x-1 feet and x feet. If the perimeter of this playground is 27 feet,

Keith_Richards [23]

Answer:

The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet

Step-by-step explanation:

At first, let us find the perimeter of the playground

∵ Perimeter of a triangle is P = S1 + S2 + S3

∵ The sides of the triangular playground are (2x) ft, (x - 1) ft, and x ft

∴ S1 = 2x, S2 = x - 1, S3 = x

→ Substitute them in the rule of the perimeter above

∵ P = 2x + x - 1 + x

→ Add the like terms

∴ P = (2x + x + x) - 1

∴ P = 4x - 1

∵ The perimeter of this playground is 27 feet

∴ P = 27

→ Equate the two values of P

∴ 4x - 1 = 27

→ Add 1 to both sides

∴ 4x - 1 + 1 = 27 + 1

∴ 4x = 28

→ Divide both sides by 4

∵ $\frac{4x}{4}$ = $\frac{28}{4}$

∴ x = 7

→ Substitute the value of x in each side to find their lengths

∵ S1 = 2(7)

∴ S1 = 14 feet

∵ S2 = 7 - 1

∴ S2 = 6 feet

∵ S3 = 7 feet

∴ The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet

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2 years ago

If one can of paint contains 2 2/5 gallons, how much paint is in one dozen cans of paint?

olasank [31]

Hi there!

Let’s take a look at the question.

One can of paint contains 2 2/5. We can make it easier by transforming the fraction (2 2/5) to a decimal (2.4). Now you have 2.4. Next, it says “one dozen”. One dozen refers to 12 cans. You’ll want to multiply 2.4 with 12.

Your answer is 28.8, or 28 4/5.

Hope this helps!

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