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3 years ago

5 7/10 x 6 1/9 simplify

Mathematics

1 answer:

Softa [21]3 years ago

4 0

Answer:

34 5/6

Step-by-step explanation:

Convert the mixed numbers into improper fractions:

57/10 × 55/9

We can reduce these fractions by using the greatest common factor, 3

19/2 × 11/3

Multiply

19/2 × 11/3 = 209/6

Convert to mixed number

209/6 = 34 5/6

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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:

$\mathbf{n = 7}$

$\mathbf{r = 4}$

(a) Choose 4 of 7 paintings

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

(b) Arrange 4 of 7 paintings

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

Monica has 5 red cubes, 6 blue cubes, and 4 green cubes in a bag. She randomly chooses 9 cubes and gets 3 of each color.

aleksandrvk [35]

Red blue green so 3

7 0

3 years ago

Consider the formula P= H *d over M, where

Sophie [7]

Answer:

$\large\boxed{\dfrac{m^3}{kg}}$

Step-by-step explanation:

$P=\dfrac{h\cdot d}{m}\\\\H\to m^2\\d\to m\\m\to kg\\\\P=\dfrac{h\cdot d}{m}\ \bigg(\dfrac{m^2\cdot m}{kg}\bigg)=\dfrac{h\cdot d}{m}\ \bigg(\dfrac{m^3}{kg}\bigg)$

6 0

3 years ago

What does it mean to be 167% of poverty level?

Andru [333]

Answer:

Step-by-step explanation:

It means that you are above the poverty level by 67%. Good state to be in.

Although what exactly that amounts to depends on where you live. When you follow the government link, there are only 2 examples given -- one for Alaska and 1 for Hawaii. It is easier to understand what 100% of the poverty level means and then figure out what 200% means. That way you can estimate 167%.

Suppose in your state you and your significant other live in the same household. The chart shows the base line is 17000 dollars. Below that and you are even poorer than at the poverty level.

So 100% is 17000

200% would be 2*17000 = 34000 dollars.

167% is somewhere between these two numbers.

The simple way to do this is to use the fractional amount

167%/100 = 1.67

The number you have to work with is 1.67 * 17000 = 28390.

The reason this is important is because the state you live in may offer you assistance up to and including 167% of the base poverty level, in this case 28390

4 0

4 years ago

Max packs cereal boxes into a larger box. The volume of each cereal box is 175 cubic inches. What is the approximate volume of t

Natali [406]

The complete question in the attached figure

we know that

in the larger box there are----------> 2*3*4-----> 24 cereal boxes
then

if 1 cereal boxes is---------------> 175 in³
24 cereal boxes----------------> X
X=24*175-------> x=4200 in³

the answer is
the approximate volume of the larger box is 4200 in³

3 0

3 years ago