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1 year ago

Simplify the expression completely: 8x + 4 - 6y - 3x + y =

Mathematics

1 answer:

Vitek1552 [10]1 year ago

6 0

The simplified expression of 8x + 4 - 6y - 3x + y is 5x - 5y + 1

Expression:

An expression is any mathematical statement that consists of numbers, variables and an arithmetic operation between them.

Given,

Here we have the expression 8x + 4 - 6y - 3x + y.

Now, we have to simplify the expression.

To simplify the expression, first we have to write the given expression,

=> 8x + 4 - 6y - 3x + y

Now, we have to combine the like terms, then we get,

=> (8x - 3x) + (-6y + y) + (4 - 3)

Now, we have to perform the appropriate arithmetic operations on it, then we get,

> 5x + (-5y) +1

Therefore, the simplified form of the given expression is 5x - 5y + 1

To know more about Expression here.

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Answer:

The area needed to be painted is approximately 301.44 square inches.

Step-by-step explanation:

The shape of a donut is represented by two concentrical circles, whose area is described by the following formula:

$A =A_{g}-A_{s}$ (Eq. 1)

Where:

$A$ - Total area of the donut, measured in squared inches.

$A_{g}$ - Area of the greater circle, measured in square inches.

$A_{l}$ - Area of the lesser circle, measured in square inches.

By using the definition of the area of the circle, we expand the equation above:

$A = \frac{\pi}{4}\cdot D^{2}_{ext} - A_{s}$ (Eq. 1b)

If we know that $\pi = 3.14$ , $D_{ext} = 22\,in$ and $A_{s} = 78.5\,in^{2}$ , the area needed to be painted is:

$A = \frac{(3.14)\cdot (22\,in)^{2}}{4}-78.5\,in^{2}$

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The area needed to be painted is approximately 301.44 square inches.

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3 years ago

Suppose you have a bag containing 15 red beads, 12 white beads and 8 black beads. You are going to draw one bead out of the bag.

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Answer:

probability that you draw a black bead or a white bead that is P(E1 U E2)

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Step-by-step explanation:

Given a bag containing 15 red beads, 12 white beads and 8 black beads

n(S) = 15 + 12 +8 = 35

Let 'E1 be the event of selecting black beads and E2 be the event of selecting white beads

n(E1) = 8 and n(E2) = 12

Probability of draw a black bead P( E1 ) = $\frac{n(E_{1} )}{n(S)}$

$P(E_{1}) = \frac{8}{35}$

Probability of draw a white bead P( E2 ) = $\frac{n(E_{2} )}{n(S)}$

$P(E_{2}) = \frac{12}{35}$

probability that you draw a black bead or a white bead that is P(E1 U E2)

and E1 n E2 = ∅ (disjoint events)

Axiom of union

$P(E_{1}UE_{2} ) = P(E_{1})+P(E_{2}) - P(E_{1}nE_{2})\\$

E1 n E2 = ∅ ⇒ P(E1 n E2) = p(∅) = 0

$P(E_{1}UE_{2} ) = P(E_{1})+P(E_{2}) - 0$

$P(E_{1}UE_{2} ) = \frac{8}{35} +\frac{12}{35}$

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4 years ago

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Answer:

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Step-by-step explanation:

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