All categories

2 years ago

2/3x = 27 Solve for x

Mathematics

2 answers:

Akimi4 [234]2 years ago

7 0

Answer:

Step-by-step explanation:

Solve for

by simplifying both sides of the equation, then isolating the variable.

Exact Form:

Decimal Form:

40.5

Mixed Number Form:

Roman55 [17]2 years ago

4 0

Answer:

x = 81/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

2/3x = 27

Step 2: Solve for x

Divide 2/3 on both sides: x = 81/2

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 2/3(81/2) = 27
Multiply: 27 = 27

Here we see that 27 does indeed equal 27.

∴ x = 81/2 is the solution to the equation.

You might be interested in

The rule for the number of fish in a home aquarium is 1 gallon of water for each inch of fish length. Marta's aquarium holds 33

tigry1 [53]

<h3>Answer:</h3>

A: 7 inches
B: 6 inches

<h3>Step-by-step explanation:</h3>

We can let the variables A and B stand for the length in inches of fish A and fish B, respectively.

If we assume each person bought fish having a total length of 1 inch per gallon of aquarium, then we can write equations ...

... 3A +2B = 33 . . . . . total length of Marta's fish

... 3A +4B = 45 . . . . . total length of Hank's fish

Subtracting the first equation from the second, we get ...

... 2B = 12

... B = 6 . . . . . divide by 2

Using this value in the first equation, we have ...

... 3A + 2·6 = 33

... 3A = 21 . . . . . . . . subtract 12

... A = 7 . . . . . . . . . . divide by 3

Fish A is 7 inches long; fish B is 6 inches long.

6 0

2 years ago

What is the equation of the line that passes through the point (-4,-2) and has a slope of -1/2?

Soloha48 [4]

Answer:

$y = - \frac{1}{2} x$

8 0

2 years ago

Laila and Bryson are finding the slope of a line that passes through the two points (3, -5) and (-4, -6). Who is correct and why

snow_tiger [21]

Slope formular = (y2-y1)/(x2 - x1)
so
slope = (-6 +5)/(-4-3)
slope = -1/-7
slope = 1/7

answer
Laila is correct

3 0

3 years ago

Find an expression in simplest form for the verbal description. The total pay for 12 hours of work at a base rate of P per hour

Jobisdone [24]

Base:
$12 \times p = 12p \\$
Bonus:
$12 \times 1.50$
Total:
$12 \times (p + 1.50)$

6 0

2 years ago

The value of a house has increased by $4,200 in the past year. By what percent has the value increased if the value last year wa

IgorC [24]

Answer:

The value has increased by 8 percent.

Step-by-step explanation:

Given:

The value of a house has increased by $4,200 in the past year.

The value last year was $52,500.

Now, to find the percent increased.

Value of house = $52,500.

Value of house last year increased by = $4200.

So, to get the percent increased:

$\frac{Value\ of\ house\ last\ year\ increased\ by} {Value\ of\ house}\times 100.$

$=\frac{4200}{52500} \times 100$

$=0.08\times 100$

$=8\ percent.$

Therefore, the value has increased by 8 percent.

6 0

2 years ago