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wolverine [178]
3 years ago
10

SLOT

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
8 0

Answer:

Step-by-step explanation:

Had the answer put don't remember

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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
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