The sum of two numbers is 39 . the smaller number is 13 less than the larger number. what are the numbers

change the precent to a fraction 120% (simplify your answer) show work with this and steps on the side

storchak [24]

Here are my steps 11/5= 2 1/5

4 0

3 years ago

Which are sums of perfect cubes? Check all that apply. 8x6 27 x9 1 81x3 16x6 x6 x3 27x9 x12 9x3 27x9.

Black_prince [1.1K]

The equations which are sums of perfect cubes are as follows;

$\rm 8x^6+27x^9+1$

$\rm x^6+x^3$

$\rm 27x^9+x^{12}$

<h3>Perfect cubes;</h3>

Perfect cubes are the numbers that are the triple product of the same number.

We have to determine

Which are sums of perfect cubes?

1. The given equation is $\rm 8x^6+27x^9+1$ .

The equation can be written as;

$\rm 8x^6+27x^9+1\\\\2^3(x^2)^3+3^3(x^3)^3+1^3$

All the terms in the expression are can be represented as perfect cubes.

2. The given equation is $\rm 81x^3+16x^6$ .

The equation can be written as;

$\rm 81x^3+16x^6\\\\9^2x^3+4^2(x^2)3$

In this, all the terms are not perfect cubes, some of them are squares.

3. The given equation is $\rm x^6+x^3$ .

The equation can be written as;

$\rm x^6+x^3\\\\(x^2)^3+x^3$

All the terms in the expression are perfect cubes.

4. The given equation is $\rm 27x^9+x^{12}$ .

The equation can be written as;

$\rm 27x^9+x^{12}\\\\3^3(x^3)^3+(x^4)^3$

All the terms in the expression are perfect cubes.

5. The given equation is $\rm 9x^3+27x^9$ .

The equation can be written as;

$\rm 9x^3+27x^9\\\\3^2x^3+3^3(x^3)^3$

In this, all the terms are not perfect cubes, some of them are squares too.

To know more about perfect cubes click the link given below.

brainly.com/question/4701925

5 0

2 years ago

Read 2 more answers

What is the area of the triangle given in the picture?

Ne4ueva [31]

Answer:

The area of the given triangle is 6 sq units.

Step-by-step explanation:

The area of triangle is given by

Area =

$\frac{1}{2} \times base \times height$

Here base is 6units and height is 2units

hence area= (6*2)/2= 6 units

3 0

3 years ago

On factorising 14pq + 35pqr. we get?

Anna71 [15]

Answer:

7pq( 2 + 5r)

Step-by-step explanation:

4 0

3 years ago

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total of 78 baseball and football cards in a box. ratio of baseball to football cards is 8 to 5. how many baseball cards are in

Katen [24]

The best way to work this to add the two numbers of the ratio together (8+5), giving you 13. You should then divide the total number of cards (78), by this, giving you 6. This means that each part of the ratio is worth 6. The first ratio is 8, meaning that you will have 6x8 baseball cards. There will be 48 baseball cards. The second ratio is 5, meaning that you will have 6x5 football cards. There will be 30 football cards.
In the box, there are 48 baseball cards

4 0

3 years ago