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4 years ago

What number does 584 round to? 580 or 585?

2 answers:

7 0

580
You can remember this by saying
5 or more let it soar
4 or less let it rest
Which means if there's 5 or more round up but if it's 4 or less round it down

kvasek [131]4 years ago

5 0

Rounding to the nearest 5, it rounds to 585. This is because it is closer to 585 than 580. However, rounding to the nearest 10, it rounds to 580.

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Express each of these statements using quantifiers. Then form the negation of the statement so that no negation is to the left o

solniwko [45]

Answer and Step-by-step explanation:

Not p = ¬p

P or q = p ∨ q

P and q = p ∧ q

If p then q = p → q

P if and only if q = p ↔ q

Existential quantification: There exist an element x in the domain such that p(x).

Universal quantification: p(x) for all values of x in the domain.

(a) No one has lost more than one thousand dollars playing the lottery.

Let A(x) means ‘x has lost more than one dollars playing the lottery’

It can also write as “there does not exists a person that lost more than one thousand dollars playing”

¬Ǝ x A (x)

Negation of this statement:

By using double negation law:

¬ [¬Ǝ x A (x)] ≡ Ǝ x A(x)

(b) There is a student in this class who has chatted with exactly one other student.

Let B(x,y) means “ x has chatted with y” and domain is all students of this class.

We can write the given sentence as:

“There is a student in the class who has chatted with one student and this student is not himself and for all people the student chatted with, this student has to be himself or the one student he chatted with”

Ǝ x Ǝ y[B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x,y) → ( z = x v z = y))]

The negation:

¬ Ǝ x Ǝ y[B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]

By using De Morgan’s law for quantifiers:

≡∀x ¬ Ǝ y [B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]

≡∀x ∀ y [B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]

De Morgan’s law:

≡∀x ∀ y [¬ B ( x, y) v ¬ ( x ≠ y) v ∀ z (B(x ,y) → ( z = x v z = y))]

By using De Morgan’s law for quantifiers:

≡∀x ∀ y [¬ B ( x, y) v x= y v Ǝ z¬ (B(x ,z) → ( z = x v z = y))]

(c) No student in this class has sent e-mail to exactly two other students in this class

Let c(x, y) means “ x has sent email to y” and the domain is all student of class.

Using double negation law:

Ǝ x Ǝ y Ǝ z [c(x, y) ∧c(x ,z) ∧ x≠ y ∧ x ≠z ∧ y ≠ z ∀ w (c(x,w) → ( w = x v w = y v w = z)]

There is a student in class that has sent email to exaxtly two other students in class.

(d) One student has solved every exercise in this book

Let D(x , y) mean student x has solved exercise y in this book.

The negation:

Ǝx∀yD(x,y)

Use De Morgan’s law for qualifiers:

≡∀ x Ǝ y ¬D(x, y)

(e). No student has solved at least one exercise in every section of this book.

Let E(x, y,z) be student x has solved exercise y in section z of this book.

We can write “there does not exist a student that solved at least one exercise in all sections of this book”

¬Ǝ x Ǝ y ∀ Z E(x, y, z)

Negation:

≡¬ [¬ Ǝ x Ǝ y ∀ Z E(x, y, z) ]

Use double negation law:

≡ Ǝ x Ǝ y ∀ Z E(x, y, z)

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7 0

3 years ago

PLZZZ HELP ME I WILL GIVE BRAINLY

Goryan [66]

Answer: x is for bouquets and y is for centerpieces.

Step-by-step explanation:

13x+4y=487

6x+2y=232

4 0

3 years ago

Read 2 more answers

Six times a number plus 4 is the same as the numbers minus 11

JulsSmile [24]

Don't understand stand is it more letter to it

7 0

3 years ago

Read 2 more answers

the length of johns patio is 5 feet less than 3 times the length of howards patio .johns patio has a length of 40 feet . what is

garri49 [273]

Hi there! The answer is 15 feet.

The easiest way of solving this problem is by setting up and solving an equation.

Let the length of Howard's patio be represented by X. Now we can get the following expressions

3 times the length of Howard's patio would be 3X (multiply by three).
5 feet less than 3 times the length of Howard's patio would be 3X - 5 (just subtract five).

Now we've found an expression that represents the length of John's patio. Knowing this we can set up and solve an equation.

$3x - 5 = 40$
First add 5 to both sides of the equation.

$3x = 40 + 5$
$3x = 45$
Finally divide both sides by 3.

$x = \frac{45}{3} = 15$
Therefore, the length of Howard's patio is 15 feet. The answer is 15 feet.

~ Hope this helps you!

6 0

4 years ago

Nima uses 2/3 cup peanuts, 1/2 cup cashews , 3/4 cup pecans, and some raisins in a recipe that makes 2 1/4 cups of trail mix. Ho

aliina [53]

Answer: There are 2/3 cups of peanuts and 21/4 cups of trail mix if you are to subtract the two witch gives you 4.58333333333 then simplify that as a fraction u should get 41/2 then simplify that u should get 20 or 1/2

Step-by-step explanation:

8 0

3 years ago