All categories

3 years ago

SLOT

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

8 0

Answer:

Step-by-step explanation:

Had the answer put don't remember

You might be interested in

Use the distributive property to express 16 + 48

Ronch [10]

You add 16 plus 48, which gives you the exact total of 64.

8 0

3 years ago

Read 2 more answers

Alicia has 7 paintings she wants to hang side by side on her wall.

melisa1 [442]

The question is an illustration of permutation and combinations.

The number of ways she can choose 4 out of the 7 paintings is 35
The number of ways she can arrange 4 out of the 7 paintings is 840

The given parameters are:

$\mathbf{n = 7}$

$\mathbf{r = 4}$

<u>(a) Choose 4 of 7 paintings</u>

Choosing 4 of 7 paintings implies combination.

So, we have:

$\mathbf{^nC_r = \frac{n!}{(n - r)!r!}}$

Substitute values for n and r

$\mathbf{^7C_4 = \frac{7!}{(7 - 4)!4!}}$

$\mathbf{^7C_4 = \frac{7!}{3!4!}}$

Expand

$\mathbf{^7C_4 = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4 !}}$

$\mathbf{^7C_4 = 35}$

Hence, the number of ways she can choose 4 out of the 7 paintings is 35

<u>(b) Arrange 4 of 7 paintings</u>

Arranging 4 of 7 paintings implies permutation.

So, we have:

$\mathbf{^nP_r = \frac{n!}{(n - r)!}}$

Substitute values for n and r

$\mathbf{^7P_4 = \frac{7!}{(7 - 4)!}}$

$\mathbf{^7P_4 = \frac{7!}{3!}}$

Expand

$\mathbf{^7P_4 = \frac{7 \times 6 \times 5 \times 4 \times 3!}{3!}}$

$\mathbf{^7P_4 = 840}$

Hence, the number of ways she can arrange 4 out of the 7 paintings is 840

Read more about permutation and combinations at:

brainly.com/question/15301090

8 0

3 years ago

The price of an object with 13%value added tax is

Lilit [14]

9514 1404 393

Answer:

₹663

Step-by-step explanation:

The ratio of the tax to the total is ...

13%/(100%+13%) = VAT/5763

VAT = 5763(0.13/1.13) = 663

The value added tax is ₹663.

4 0

3 years ago

How do I find the x? Please and thank you!

maxonik [38]

Answer:

x = 9

Step-by-step explanation:

The two opposite interior angles that are opposite to the exterior angle are congruent as shown in the diagram.

Therefore, based on the exterior angle theorem of a triangle, we have the following equation:

2(7x + 2)° = (17x - 23)

14x + 4 = 17x - 23

Collect like terms

14x - 17x = -4 - 23

-3x = -27

Divide both sides by -3

-3x/-3 = -27/-3

x = 9

3 0

3 years ago

To increase an amount by 30%, what single multiplier would you use? and To decrease an amount by 30%, what single multiplier wou

Kamila [148]

Answer:

To increase, use 1.3

to decrease, use .7

Step-by-step explanation

6 0

3 years ago