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2 years ago

Please help with this question?!?

Mathematics

1 answer:

erik [133]2 years ago

3 0

Answer:

416 mi

Step-by-step explanation:

In order to find the surface area, you must find the area of each square. There are a total of 6 that make up the prism.

<em>Remember to find the area it is length x width</em>

9 x 8 = 72 which is the area for 4 of the squares. 2 on the side and 2 on the bottom
Lastly for the last 2 squares to find the area you multiply 8 x 8 = 64
In total, you will add 72+72+72+72+64+64 which equals 416

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A gallery has 25 paintings in its permanent collection, with display space for 10 at one time. How many different collections ca

Anastaziya [24]

You need to know in how many ways you can choose 10 out of 25 items when order does not matter. This is a combination problem.

$_{n}C_{r} = \dfrac{n!}{(n - r)!r!}$

$_{25}C_{10} = \dfrac{25!}{(25 - 10)!10!}$

$_{25}C_{10} = \dfrac{25 \times 24 \times 23 \times 22 \times 21 \times 20 \times 19 \times 18 \times 17 \times 16 \times 15!}{15! \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}$

$_{25}C_{10} = \dfrac{25 \times 24 \times 23 \times 22 \times 21 
\times 20 \times 19 \times 18 \times 17 \times 16}{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 
\times 2 \times 1}$

$_{25}C_{10} = \dfrac{23 \times 11 \times 20 \times 19 \times 2 \times 17}{1}$

$_{25}C_{10} = 23 \times 11 \times 20 \times 19 \times 2 \times 17$

$_{25}C_{10} = 3,268,760$

6 0

3 years ago

Read 2 more answers

The Jaxon High School prom committee has 100 thumb drives to sell in a fundraiser. The function f(x) = 8x – 200 models their inc

Alina [70]

Answer:

25 = x

Step-by-step explanation:

Based on the equation we see that the thumb drives cost $200 which is why that is being subtracted. To calculate the break-even number of sales we need to make a total of 200 to cover the costs. We calculate this by matching the equation to 0 and solving for x...

0 = 8x - 200 ... add 200 on both sides

200 = 8x ... divide both sides by 8

25 = x

Finally, we can see that the committee will break even after selling 25 thumb drives which would make them $200 to cover all of their costs.

5 0

2 years ago

Find the solution to the system 4x - y = -12 and -x - y = 3

nikdorinn [45]

Answer:

x = -3 , y = 0

Step-by-step explanation:

Solve the following system:

{4 x - y = -12 | (equation 1)

-x - y = 3 | (equation 2)

Add 1/4 × (equation 1) to equation 2:

{4 x - y = -12 | (equation 1)

0 x - (5 y)/4 = 0 | (equation 2)

Multiply equation 2 by 4/5:

{4 x - y = -12 | (equation 1)

0 x - y = 0 | (equation 2)

Multiply equation 2 by -1:

{4 x - y = -12 | (equation 1)

0 x+y = 0 | (equation 2)

Add equation 2 to equation 1:

{4 x+0 y = -12 | (equation 1)

0 x+y = 0 | (equation 2)

Divide equation 1 by 4:

{x+0 y = -3 | (equation 1)

0 x+y = 0 | (equation 2)

Collect results:

Answer: {x = -3 , y = 0

8 0

3 years ago

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astraxan [27]

Answer:

3 the rest of his classmate

4 0

2 years ago

45 children attend preschool the number of two-year-olds is 1/2 the number of three-year-olds the number for your old is the sam

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To solve this we could write and solve the equation below, letting x be the number of 3 and 4 year olds.

x/2 + x + x = 45
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From here, we just divide 18 by 2 to get the number of 2 year olds.

6 0

2 years ago