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2 years ago

1 point

Mathematics

1 answer:

Temka [501]2 years ago

7 0

The answer is the middle option. It is ideal to solve using substitution for x in this system of equations.

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There are 10 apples in the fridge and 2 of them are bad. if you grab 3 apples, what is the expected number of bad apples

Vilka [71]

2 there should still be the 2 bad apples

8 0

2 years ago

A swim meet has 13 contestants signed up for the 100-meter butterfly event. The first heat has 6 swimmers. How many different wa

tino4ka555 [31]

Answer:

6 swimmers in the first heat can be arranged in 1716 different ways.

Step-by-step explanation:

A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.

So to select 6 swimmers out of 13 contestants number of different ways

= $^{13}C_{6}$

= $\frac{13!}{(6!)(13-6)!}$

= $\frac{13\times 12\times 11\times 10\times 9\times 8\times 7!}{6!\times 7!}$

= $\frac{13\times 12\times 11\times 10\times 9\times 8}{6\times 5\times 4\times 3\times 2\times 1}$

= $\frac{1235520}{720}$

= 1716

Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.

5 0

2 years ago

After solving the system x+2y=10 and x-2y=2. What is the sum of x+y equal to?

Masja [62]

Answer:

The sum of x and y is 8.

Step-by-step explanation:

x+2y=10

x-2y=2

------------

2x = 12, so x = 6. Substituting 6 for x in the 2nd equation, we get:

6 - 2y = 2, or

4 = 2y, or y = 2. The solution is therefore (6, 2).

The sum of x and y is 6 + 2 = 8 (answer)

5 0

2 years ago

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Again, please help. i dont know any of this

Levart [38]

$\textrm {Cylinder volume :}$

$\mathrm {Volume = \pi r^{2}{h}}$

$\mathrm {Volume = 3.14 \times (\frac{4}{2})^{2} \times 3}$

$\mathrm {Volume = 3.14 \times 12}$

$\mathrm {Volume = 37.68cm^{3}}$

$\textrm {Rectangular prism volume :}$

$\mathrm {Volume = length \times width \times height}$

$\mathrm {Volume = 6 \times 5 \times 7}$

$\mathrm {Volume = 30 \times 7}$

$\mathrm {Volume = 210cm^{3}}$

$\textrm {Total volume of composite figure :}$

$\textrm {Volume of cylinder + volume of rectangular prism}$

$\mathrm {37.68 + 210}$

$\mathrm {247.68cm^{3}}$

4 0

1 year ago

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Sum of three consecutive multiples of 6 is 648. One of these multiple is

Ber [7]

Answer:

Let two consecutive multiples of 3 be x and (x+3)

A/q,

x * (x+3) = 648

➡ x² + 3x = 648

➡ x² + 3x -648 = 0

➡ x² + 27x - 24x -648 = 0

➡ x ( x + 27 ) -24 ( x +27)

➡ ( x - 24) ( x + 27)

➡ x = 24 and x = -27

so, we take x = 24.

Required multiples of 3

➡ x = 24

➡ x +3 = 24+3 = 27.

3 0

2 years ago

Read 2 more answers