How many unique ways are there to arrange the letters in the word PRIOR?

Determine whether each expression is equivalent to

larisa [96]

The algebraic expressions, $x + x + y + y + y + y - 5 + x + x + x + 8 - 4y$ and $5x + 3$ are equivalent to $2x + 4y - 5 + 3x + 8 - 4y$

To determine whether each expression is equivalent to $2x + 4y - 5 + 3x + 8 - 4y$ , apply the knowledge of algebra to solve each of the following in it's simplest form.

First, simplify $2x + 4y - 5 + 3x + 8 - 4y$ as follows:

Add like terms

$2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y - 5 + 8\\5x + 3$

Next, compare or simplify where necessary each of the given algebraic expressions with $5x + 3$

First Option

$x + x + y + y + y + y - 5 + x + x + x + 8 - 4y$

Add like terms together

$2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y -5+8\\5x + 3$

Therefore, $x + x + y + y + y + y - 5 + x + x + x + 8 - 4y$ is equivalent to $2x + 4y - 5 + 3x + 8 - 4y$

Check the box for YES.

Second Option:

$6xy + 3 - 4y$ (cannot be simplified further)

$6xy + 3 - 4y\neq 2x + 4y - 5 + 3x + 8 - 4y$

Therefore:

Leave the box BLANK for NO.

Third Option:

$-8y + 5x - 3$ (cannot be simplified further)

$-8y + 5x - 3 \neq 2x + 4y -5 + 3x + 8 - 4y$

Therefore:

Leave the box BLANK for NO.

Fourth Option:

$5x + 3$

$5x + 3 = 2x + 4y - 5 + 3x + 8 - 4y$

Therefore:

Check the box for YES.

Thus, the algebraic expressions that are equivalent to $2x + 4y - 5 + 3x + 8 - 4y$ are:

$x + x + y + y + y + y - 5 + x + x + x + 8 - 4y$

$5x + 3$

Learn more about algebraic expressions here:

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5 0

2 years ago

How much does a glass cube with a side of 5-cm weigh if 1cm3 of glass weighs 2 2/5 grams?

PtichkaEL [24]

The weight of galss cube with side 5 cm is 300 grams

Solution:

A glass cube is of side length 5 cm

Let us first find the volume of glass cube

The volume of cube is given as:

$volume = (side)^3\\\\volume =5^3 = 125$

Thus volume of cube is 125 $cm^3$

Given that,

$1 cm^3 = 2\frac{2}{5} \text{ grams }\\\\1 cm^3 =\frac{12}{5} \text{ grams}$

So, weight of 125 cubic centimeter of glass cube is found by multiplying weight of 1 cubic centimeter of glass cube by 125

$\text{ Weight of 125 } cm^3 \text{ cube } = \text{ Weight of 1 } cm^3 \text{ cube } \times 125$

$\text{ Weight of 125 } cm^3 \text{ cube } = \frac{12}{5} \times 125 = 25 \times 12 = 300$

Thus weight of galss cube with side 5 cm is 300 grams

3 0

2 years ago

Read 2 more answers

Find the circumference of the pizza to the nearest tenth. Pizza : 10 inches

Eddi Din [679]

Answer:

31.4 in

Step-by-step explanation:

I must assume that you meant "10-inch pizza," which implies a diameter of 10 inches. The formula for the circumference of a circle when the diameter is known is C = πd , so here:

C = π(10 in) = 10π in, or roughly 31.4 in.

5 0

2 years ago

By definition, present value is

MArishka [77]

Answer:

$future \: value \: minus \: interest$

8 0

2 years ago

Helppppppppppppppppppppppppp ASAP

S_A_V [24]

Answer:

4.8

Step-by-step explanation:

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2 years ago