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2 years ago

A class has 6 girls and 15 boys. Write the ratio of girls and boys as a fraction in simplest form

Mathematics

2 answers:

Lynna [10]2 years ago

8 0

The answer is 2/5, which is 2 over 5

kotykmax [81]2 years ago

7 0

Answer:

2 : 5 2/5

Step-by-step explanation:

6 : 15

6/3 15/3

2 : 5

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an adult elephant drinks about 225 liters of water each day. Is the number of days the water supply lasts proportional to the nu

V125BC [204]

10-14 gallons a day. hope that works

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3 years ago

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Please Help!! Use Euler’s formula to write in exponential form.

LekaFEV [45]

Answer:

C, $4e^{i(7\pi/4)}$

Step-by-step explanation:

To remind you, Euler's formula gives a link between trigonometric and exponential functions in a very profound way:

$e^{ix}=\cos{x}+i\sin{x}$

Given the complex number $2\sqrt{2}-2i\sqrt{2}$ , we want to try to get it in the same form as the right side of Euler's formula. As things are, though, we're unable to, and the reason for that has to do with the fact that both the sine and cosine functions are bound between the values 1 and -1, and 2√2 and -2√2 both lie outside that range.

One thing we could try would be to factor out a 2 to reduce both of those terms, giving us the expression $2(\sqrt{2}-i\sqrt{2})$

Still no good. √2 and -√2 are still greater than 1 and less than -1 respectively, so we'll have to reduce them a little more. With some clever thinking, you could factor out another 2, giving us the expression $4\left(\frac{\sqrt{2}}{2} -i\frac{\sqrt{2}}{2}\right)$ , and now we have something to work with.

Looking back at Euler's formula $e^{ix}=\cos{x}+i\sin{x}$ , we can map our expression inside the parentheses to the one on the right side of the formula, giving us $\cos{x}=\frac{\sqrt2}{2}$ and $\sin{x}=-\frac{\sqrt2}{2}$ , or equivalently:

$\cos^{-1}{\frac{\sqrt2}{2} }=\sin^{-1}-\frac{\sqrt2}{2} =x$

At this point, we can look at the unit circle (attached) to see the angle satisfying these two values for sine and cosine is 7π/4, so $x=\frac{7\pi}{4}$ , and we can finally replace our expression in parentheses with its exponential equivalent:

$4\left(\frac{\sqrt2}{2}-i\frac{\sqrt2}{2}\right)=4e^{i(7\pi/4)}$

Which is c on the multiple choice section.

4 0

3 years ago

The ratio of band students to choir students is 4:6. There are a total of 60 students in the band and choir. How many students a

xenn [34]

Answer:

Step-by-step explanation:

Given that:

The ratio of band students to choir students is 4 : 6.

Total number of students in the band and choir combined = 60

To find:

The number of students in the band = ?

Solution:

First of all, let us understand the meaning of the ratio given.

Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.

Also, number of band students will be in the multiples of 4 only and

number of choir students will be in the multiples of 6 only

Let the total number of band students = 4 $x$

Let the total number of choir students = 6 $x$

Total number of students = 60

As per question statement, we can write the following equation:

$\Rightarrow 4x+6x=60\\\Rightarrow 10x = 60\\\Rightarrow x =6$

Total number of band students = 4 $\times$ 6 = 24

5 0

2 years ago

What would the graph of y=x look like? name three ordered pairs that lie on the line.

ololo11 [35]

-- The graph looks like a line that passes through the origin,
and slopes up to the right at a 45-degree angle.

-- Point #1 on the line:
. . . . . Pick any number.
. . . . . Write it down twice.
. . . . . Call the first one 'x'. Call the second one 'y'.

-- Point #2 on the line:
. . . . . Pick any other number.
. . . . . Write it down twice.
. . . . . Call the first one 'x'. Call the second one 'y'.

-- Point #3 on the line:
. . . . . Pick any other number.
. . . . . Write it down twice.
. . . . . Call the first one 'x'. Call the second one 'y'.

Rinse and repeat, as many times as you like,
until the novelty wears off and you lose interest.

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3 years ago

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3n-7/6=2n+5/3 solve for n please

schepotkina [342]

N = 17/6
or
2.83 (3 is repeating)

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3 years ago

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