The price per night for a hotel room is different at three different hotels.

1.) Find all the factors of 54.

jonny [76]

QUESTION 1.

The factors of 54 are all natural numbers that can divide 54 exactly.

The factors of 54 are: {1,2,3,6,9,18,27,54}

QUESTION 2

The prime factors of 54 are factors of 54 that are prime numbers.

The prime factors of 54 are {2,3}.

Product of prime factors of 54 is $2\times 3^3$

QUESTION 3

All the factors of 60 are all positive integers that divide exactly into 60.

The factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60}

QUESTION 4

The prime factors of 60 are factors of 60 that are prime numbers.

The prime factors of 60 are {2,3,5}

The prime factorization of 60 is $2^2\times 3\times 5$ .

QUESTION 5

The factors of 30 are {1,2,3,5,6,10,15,30}

The different ways she can put the beads into the boxes are

$1\times 30$ ,

All 30 beads into one box or 1 bead in 30 boxes.

$2\times 15$ ,

2 beads each into 15 boxes or 15 beads each into 2 boxes

$3\times 10$ ,

3 beads each into 10 boxes or 10 beads each into 3 boxes

$5\times 6$ ,

6 beads each into 5 boxes or 5 beads each into 6 boxes

5 0

3 years ago

JoAnn works in a publicity office at the state university. She is paid

sleet_krkn [62]

JoAnn works 43 hrs week.

3 0

3 years ago

Read 2 more answers

How do you solve 5-4x<95

mario62 [17]

$5 - 4x < 95 \\ - 4x < 95 - 5 \\ - 4x = 90 \\ x = - \frac{90}{4} \\ \boxed{ x = - \frac{45}{2} }$

8 0

3 years ago

A stack of 5 books welghs 9.5 pounds. If each book weighs the same amount, how much does each book weigh?

Dafna11 [192]

9.5/5 = 1.9 lbs each

6 0

3 years ago

Which additional information could be used to prove that the triangles are congruent using AAS or ASA? Check all that apply.

Ad libitum [116K]

Consider the given triangles.

Given: $\angle C \cong \angle Q$

ASA congruence criterion states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

AAS congruence criterion states that if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Consider the first part:

1. In triangles ABC and QPT

If we take $\angle B \cong \angle P , BC \cong PQ$ along with the given condition.

Then the triangles are congruent by ASA congruence criterion.

2. If we take $\angle A \cong \angle T$ and $AC= TQ=3.2$ along with the given condition.

Then the triangles are congruent by ASA congruence criterion.

3. As, $\angle C \cong \angle Q$ , $\angle A \cong \angle T$ and $\angle B \cong \angle P$ , so the triangles can not be congruent.

4. If we take $\angle A \cong \angle T$ and $BC \cong PQ$ along with the given condition.

Then the triangles are congruent by AAS congruence criterion.

5. If we take AC=TQ=3.2 and CB=QP=3.2 along with the given condition, then the triangles are congruent but by SAS congruence criteria neither by ASA nor AAS congruence criterion.

7 0

3 years ago

Read 2 more answers