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3 years ago

Which of the following expressions are equivalent to 2/x^6-y^6? Choose all that apply.

Mathematics

1 answer:

enot [183]3 years ago

4 0

Answer:

A and C

Step-by-step explanation:

Equivalent expressions are expression which when simplified to lowest terms are equal.

Simplify each answer choice to find the expression which simplifies to $\frac{2}{x^6-y^6}$ .

A. Multiply the exponents 3*2 = 6. This is equal.

B. Multiply numerators and denominators. Here the numerator will be 1*1 = 1. It does not equal 2 in the numerator.

C. Here the numerator does equal 2. The denominator multiplies to $(x^3 - y^3)(x^3+y^3)\\x^6 -x^3y^3 + x^3y^3 -y^6\\x^6 - y^6$

This is equal.

D. The denominator will have three terms here when simplified. This will not be equal.

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Plz help me plz I really need help

Zolol [24]

Step 1: 198 × $\frac{1}{3}$ = 66, the number of men who left the party

Step 2: 256× $\frac{1}{4}$ = 64, the number of women who left the party

66+64=130

Since 130 is the number of people that left, you would subtract it from the total number of people at the party originally.

198+256=454

454-130=325

So, 325 people are left at the party

3 0

4 years ago

Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each. Together, t

Blababa [14]

Answer:

x + y = 60 and 1.55x + 1.4y = 88.20 and the solution is x = 32 and y = 28.

Mr. Sanchez’s class earned more money by $10.4.

Step-by-step explanation:

Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each.

Let the number of sold fruit pies is x and bottles of fruit juice is y.

So, from the given condition we can write

x + y = 60 ........ (1)

⇒ 1.4x + 1.4y = 84 ....... (2) and

1.55x + 1.4y = 88.20 ........ (3)

Now, solving equations (2) and (3) we get (1.55 - 1.4)y = (88.2 - 84)

⇒ y = 28

And from equation (1) we get x = 60 - 28 = 32.

Therefore, Mr. Sanchez’s class earned more money. (Answer)

Now, this class have earned $(32 × 1.55 - 28 × 1.4) = $10.4 more. (Answer)

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4 years ago

Read 2 more answers

How do u write One fifth the difference of 5 and b

ivanzaharov [21]

Answer:5-b=1/5

Step-by-step explanation:

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3 years ago

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My friend sets out walking at a speed of $3$ miles per hour. I set out behind her $5$ minutes later at $4$ miles per hour. When

r-ruslan [8.4K]

Answer: The answer is 0.25 miles.

Step-by-step explanation: Given that my friend started walking at a speed of 3 miles per hour and I started 5 minutes after him at a speed of 4 miles per hour. We need to find the number of miles my friend travelled when I started walking.

Since I started 5 minutes after than my friend, so we are to find the distance travelled by my friend in 5 minutes.

In 1 hour, i.e., 60 minutes, distance travelled by my friend = 3 miles.

In 1 minute, distance travelled by my friend is

$\dfrac{3}{60}=\dfrac{1}{20}~\textup{miles}.$

Therefore, distance travelled by my friend in 5 minutes will be

$\dfrac{1}{20}\times 5=\dfrac{1}{4}=0.25~\textup{miles}.$

Thus, the answer is 0.25 miles.

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What is the solution of 6x=15

kolezko [41]

Answer:

2.5

Step-by-step explanation:

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3 years ago

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