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Studentka2010 [4]
3 years ago
12

Reina and Sam are multiplying (84)5 (73)9. Reina's Work Sam's Work (84)5 (73)9 = 84 + 573 + 9 = 89712 (84)5 (73)9 = 84⋅573⋅9 = 8

20727 Is either of them correct? Explain your reasoning.
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
4 0
This is a tricky question that Reina and Sam are multiplying (84)5 (73)9and their work are (84)5 (73)9 = 84 + 573 + 9 = 89712    Reina's(84)5 (73)9 = 84⋅573⋅9 = 820727 Sam'sActually they are doing or multiplying using exponents.
Reina’s work (8⁴)₅(7³)⁹=8⁴⁺⁵+ 7³⁺⁹= 8⁹ 7¹²This is incorrect  because she added exponents instead of multiplying exponents
Sams work (8⁴)⁵ (7³)⁹=8⁴ˣ⁵ 7³ˣ⁹= 8²⁰ 7²⁷This is correct  because Sam multiplied exponents correctly
Exponents are multiplied not added.

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Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money an
Alenkasestr [34]

Answer:

The money each boy had after buying his ticket is <u>$2.50</u>.

Step-by-step explanation:

Given:

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket.

Now, to find the money each boy had after buying his ticket.

Let the money each boy had after buying his ticket be x.

Total number of boys = 4.

Total money they had = $40.

Money each boy spent = $7.50.

Now, to write an equation:

4(x+7.50)=40

Now, to solve the equation for getting the money each boy had after buying his ticket:

4(x+7.50)=40

4x+30=40

<em>Subtracting both sides by 30 we get:</em>

4x=10

<em>Dividing both sides by 4 we get:</em>

x=\$2.50.

Therefore, the money each boy had after buying his ticket is $2.50.

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3 years ago
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Answer:

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Step-by-step explanation:

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If the right side of the equation dy dx = f(x, y) can be expressed as a function of the ratio y/x only, then the equation is sai
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Answer:

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Step-by-step explanation:

Given:

                                  dy / dx = (x^2 + 5y^2) / 2xy

Find:

Solve the given ODE by using appropriate substitution.

Solution:

- Rewrite the given ODE:

                               dy/dx = 0.5(x/y) + 2.5(y/x)

- use substitution y = x*v(x)

                               dy/dx = v + x*dv/dx

- Combine the two equations:

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-Separate variables:

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                                 v = sqrt(Cx - 1)

- Back substitution:

                                (y/x) = sqrt(Cx - 1)

                               y = x*sqrt(Cx - 1)

                         

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