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4 years ago

5

Linnea's company revenue in 2017 is

{25}" alt="\frac{36}{25}" align="absmiddle" class="latex-formula"> of its revenue in 2016.
What is Linnea's company's revenue in 2017 as a percent of it's revenue in 2016?

1 answer:

Arada [10]4 years ago

6 0

I think its eiter
$1 \frac{11}{25}$
or 1.44

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Form simultaneous equations and solved using only one method.

kolbaska11 [484]

Answer:

48

Step-by-step explanation:

48

Let the tens digit be x.

Hence, the units digit will be 2x

Number =10×(x)+(2x)=12x

When 36 is added to the number, the new number formed =12x+36

As the digits are reversed, we can also write the new number as 10×(2x)+x=21x

Hence,

12x+36=10×(2x)+x

⇒12x+36=21x

⇒21x−12x=36

⇒9x=36

⇒x=4

Hence, the original number =12x=12×4=48

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3 years ago

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What is y= 6/5x+9 written in standered form?

8090 [49]

Standard form, move the variables to the left-hand-side, leave the constant on the right-hand-side, usually the "x" comes first,

$\bf y=\cfrac{6}{5}x+9\implies -\cfrac{6}{5}x+y=9$

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3 years ago

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4a/3bc - 15/5ac. what's the answer with the steps?

Dmitrij [34]

Answer:

-5/3

Step-by-step explanation:

In order to add or subtract fractions, the denominators need to be the same. In this case, the lowest common denominator would be 15abc.

So to get to that, you'll end up with 20abc/15abc - 45abc/15abc. Now you can subtract the numerators, which will give you -25abc/15abc. Once divided and simplified, your answer will be -5/3.

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3 years ago

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I need help with finding the answer to a) and b). Thank you!

shtirl [24]

Answer:

$\displaystyle \sin\Big(\frac{x}{2}\Big) = \frac{7\sqrt{58} }{ 58 }$

$\displaystyle \cos\Big(\frac{x}{2}\Big)=-\frac{3 \sqrt{58}}{58}$

$\displaystyle \tan\Big(\frac{x}{2}\Big)=-\frac{7}{3}$

Step-by-step explanation:

We are given that:

$\displaystyle \sin(x)=-\frac{21}{29}$

Where x is in QIII.

First, recall that sine is the ratio of the opposite side to the hypotenuse. Therefore, the adjacent side is:

$a=\sqrt{29^2-21^2}=20$

So, with respect to x, the opposite side is 21, the adjacent side is 20, and the hypotenuse is 29.

Since x is in QIII, sine is negative, cosine is negative, and tangent is also negative.

And if x is in QIII, this means that:

$180$

So:

$\displaystyle 90 < \frac{x}{2} < 135$

Thus, x/2 will be in QII, where sine is positive, cosine is negative, and tangent is negative.

1)

Recall that:

$\displaystyle \sin\Big(\frac{x}{2}\Big)=\pm\sqrt{\frac{1 - \cos(x)}{2}}$

Since x/2 is in QII, this will be positive.

Using the above information, cos(x) is -20/29. Therefore:

$\displaystyle \sin\Big(\frac{x}{2}\Big)=\sqrt{\frac{1 + 20/29}{2}$

Simplify:

$\displaystyle \sin\Big(\frac{x}{2}\Big)=\sqrt{\frac{49/29}{2}}=\sqrt{\frac{49}{58}}=\frac{7}{\sqrt{58}}=\frac{7\sqrt{58}}{58}$

2)

Likewise:

$\displaystyle \cos \Big( \frac{x}{2} \Big) =\pm \sqrt{ \frac{1+\cos(x)}{2} }$

Since x/2 is in QII, this will be negative.

Using the above information, cos(x) is -20/29. Therefore:

$\displaystyle \cos \Big( \frac{x}{2} \Big) =-\sqrt{ \frac{1- 20/29}{2} }$

Simplify:

$\displaystyle \cos\Big(\frac{x}{2}\Big)=-\sqrt{\frac{9/29}{2}}=-\sqrt{\frac{9}{58}}=-\frac{3}{\sqrt{58}}=-\frac{3\sqrt{58}}{58}$

3)

Finally:

$\displaystyle \tan\Big(\frac{x}{2}\Big) = \frac{\sin(x/2)}{\cos(x/2)}$

Therefore:

$\displaystyle \tan\Big(\frac{x}{2}\Big)=\frac{7\sqrt{58}/58}{-3\sqrt{58}/58}=-\frac{7}{3}$

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3 years ago

Class A rented 2 filled vans and 7 buses with 407 students. B rented and filled 1 van and 7 buses with 389 students. How many st

almond37 [142]

Answer: 1 van can hold 18 people, and 1 bus can hold 53 people.

What we know: Class A rented 2 filled vans and 7 buses with 407 students.

Class B rented and filled 1 van and 7 buses with 389 students.

What we need to know: How many students can a van carry? How many students can a bus carry?

Equation A: 2v + 7b = 407

Equation B: 1v + 7b = 389

Variables used: v = amount of people that can fill a van and b = amount of people that can fill a bus

This is quite a simple equation, because we know that class A used 1 more van than Class B, and the question says that each vehicle was full. So, all you have to do it subtract 389 from 407 to get 18. That means that 1 can can hold 18 people.

Now you just plug it in to find the value for b, 1(18) + 7b = 389

7b = 371

b = 53

So the amount of people that can fit on a van is 18, and the amount of people that can ft on a bus is 53.

5 0

3 years ago