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3 years ago

The perimeter of a rectangular garden is 292 feet. If the width of the garden is 67 feet, what is its length?

Mathematics

2 answers:

olga2289 [7]3 years ago

7 0

79 is the length because
292-2(67)= 158
158/2 = 79

navik [9.2K]3 years ago

3 0

Perimeter = 2 * length + 2 * width

292 = 2*67 + 2x where x = the length

2x = 292 - 2*67 = 158

x = 158/2 = 79 feet

Length is 79 feet

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What is the value of x in the equation 3- 2x = -1.5х?

Vika [28.1K]

Answer:

x = 6

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

3 - 2x = -1.5x

Step 2: Solve for x

Add 2x on both sides: 3 = 0.5x
Divide 0.5 on both sides: 6 = x
Rewrite: x = 6

Step 3: Check

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

Substitute in x: 3 - 2(6) = -1.5(6)
Multiply: 3 - 12 = -9
Subtract: -9 = -9

Here we see that -9 does indeed equal -9.

∴ x = 6 is the solution to the equation.

6 0

3 years ago

Read 2 more answers

Write 4.625 as a mixed number in simplest form

Zarrin [17]

4 625/1,000 to 4 25/40 to 4 5/8

4 0

4 years ago

An ice cube is made of 5 fluid ounces of water. About how many milliliters of water does it take to make an ice cube

Sergio [31]

ANSWER:

147.868 mL of water is required to make an ice cube.

SOLUTION:

Given that, an ice cube is made up of 5 fluid ounces of water.

We need to find how many milli liters of water does it require to make an ice cube.

For, that we have to convert 5 fluid ounces in to units of milli liters.

We know that, 1 US fluid ounce equals to 29.5735 milli liters. i.e. 1 US fluid ounce = 29.5735 mL

Now,

An ice cube is made by 5 fluid ounces = 5 x 1 fluid ounce

= 5 x 29.5735 mL = 147.868 mL

Hence, 147.868 mL of water is required to make an ice cube.

5 0

3 years ago

If y=-12, when x=9, find y when x=-4

tia_tia [17]

2 different things
if it is
xy=k or if it is x/y=k
direct or inverse variation

I will do the x/y=k one
9/-12=-3/4
x=-4
-3/4=-4/y
mutiply both sides by y
-3/4y=-4
mutiply both sides by -4/3 to clear fraction
y=16/3

6 0

3 years ago

The table shows a person’s annual salary y (in thousands of dollars) after x years of education beyond high school. What is the

kolezko [41]

Answer:

A. The annual salary of the person after 8 years of education beyond high school will be $76,000.

C. The annual salary of the person after 30 years of education beyond high school will be $208,000.

The given situation does not make sense in real world.

Step-by-step explanation:

We have been given a table of values, which shows a person’s annual salary y (in thousands of dollars) after x years of education beyond high school.

A. First of all we will find the equation of the line form our given values.

We can see that our function is increasing at a constant rate as each next term is 12 more than the last term:

$40-28=12$

$52-40=12$

Let us find the slope of our given line using points (0,28) and (10,88) in slope formula.

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$ , where,

$y_2-y_1$ = Change in two y-coordinates.

$x_2-x_1$ = Change in same x-coordinates of two y-coordinates.

Upon substituting coordinates of our given points in slope formula we will get,

$\text{Slope}=\frac{88-28}{10-0}$

$\text{Slope}=\frac{60}{10}$

$\text{Slope}=6$

Since we know that slope-intercept form of an equation is: $y=mx+b$ , where,

m = Slope of the line,

b = y-intercept or initial value.

We can see from our table that at x equals zero, y equals 28, so our y-intercept will be 28.

Upon substituting m=6 and b=28 in slope-intercept form of equation we will get,

$y=6x+28$

Therefore, the equation $y=6x+28$ represents the annual salary in thousands of dollars after x years of education beyond high school.

To find the salary of a person after 8 years of education beyond high school, let us substitute x=8 in our equation.

$y=6*8+28$

$y=48+28$

$y=76$

As the equation gives annual salary of a person in thousand dollars, therefore, the annual salary of the person after 8 years of education beyond high school will be $76,000.

C. To find the salary of a person with 30 years of education, we will substitute x=30 in our equation.

$y=6*30+28$

$y=180+28$

$y=208$

Therefore, the annual salary of the person after 30 years of education beyond high school will be $208,000.

Since a person does not study 30 years beyond high school, therefore, this situation does not make sense in real word.

3 0

3 years ago