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3 years ago

A) if x=4 evaluate the perimeter of the blanket. Don’t forget to include the measurement in your final answer.

Mathematics

1 answer:

Tanzania [10]3 years ago

6 0

Formula for perimeter of a rectangle: P = 2W + 2L

Here, P = 2(x-3 ) cm + 2(3x+7) cm = 2x - 6 + 6x + 14 (cm)

Combine like terms: 8x + 8 cm (simplest form) This is the perimeter.

Now let x = 4: P(x=4) = 8(4) + 8 cm = 40 cm

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A rectangular parking lot is enclosed by concrete barriers 5 feet long. There are 160 barriers in total. Determine the maximum a

LuckyWell [14K]

Well you just multiply 5 by 160 and get 800ft

6 0

2 years ago

The function of f is defined as follows

Alborosie

Answer:

f(-121) = -5

f(31) = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = ∛(x - 4)

f(-121) is x = -121

f(31) is x = 31

Step 2: Evaluate

f(-121)

Substitute in x: f(-121) = ∛(-121 - 4)
[Radical] Subtract: f(-121) = ∛(-125)
[Radical] Evaluate: f(-121) = -5

f(31)

Substitute in x: f(31) = ∛(31 - 4)
[Radical] Subtract: f(31) = ∛27
[Radical] Evaluate: f(31) = 3

7 0

2 years ago

A cylinder has a lateral area of 144π square meters. The radius of the cylinder is 4 meters. What is the height of the cylinder?

Andrei [34K]

Answer:

5.73 meters

Step-by-step explanation:

5 0

2 years ago

Assume that you are about to buy a car. There is a probability of 0.4 that you will purchase a new vehicle, and a probability of

Mila [183]

Answer:

C. 0.1

Step-by-step explanation:

The sum of the probabilities of all possible events must equal 1.

Since there is no probability of purchasing two vehicles ore more, the events are:

- Purchase a new vehicle (0.5)

- Purchase a used vehicle (0.4)

- Purchase no vehicle at all (x)

The probability of not purchasing a vehicle is:

$x=1-0.5-0.4\\x=0.1$

The probability that you purchase no vehicle at all is: C. 0.1

4 0

3 years ago

Four-thirds (x) minus one-third = 9. Four-thirds (x) minus one-third + one-third = 9 + one-third. Four-thirds (x) = StartFractio

Fiesta28 [93]

Answer:

$x = 7$

Step-by-step explanation:

Given

$\frac{4}{3}x - \frac{1}{3} = 9$

Required

Solve for x

$\frac{4}{3}x - \frac{1}{3} = 9$

Add $\frac{1}{3}$ to both sides

$\frac{4}{3}x - \frac{1}{3} + \frac{1}{3} = 9 + \frac{1}{3}$

$\frac{4}{3}x = 9 + \frac{1}{3}$

Take LCM

$\frac{4}{3}x = \frac{27 + 1}{3}$

$\frac{4}{3}x = \frac{28}{3}$

Multiply both sides by $\frac{3}{4}$

$\frac{3}{4} * \frac{4}{3}x = \frac{3}{4} *\frac{28}{3}$

Evaluate the left hand side

$x = \frac{3}{4} *\frac{28}{3}$

$x = \frac{28}{4}$

Divide 28 by 4

$x = 7$

7 0

2 years ago