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3 years ago

PLEASE HELP MEEE!!!!!!!!!!

Mathematics

1 answer:

bixtya [17]3 years ago

3 0

Answer:

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An economy package of cups has 400 green cups. If the green cups are 20% of the total package, how many cups are in the package?

Sonbull [250]

Answer:

80 cups

Hope that helps! :)

3 0

3 years ago

one number added to three times another number is 24. Five times the first number added to three times the other number is 36. F

alexdok [17]

<h3><u>The value of x, the first number, is equal to 3.</u></h3><h3><u>The value of y, the second number, is equal to 7.</u></h3>

x + 3y = 24

5x + 3y = 36

We can subtract both equations from each-other to cancel out a variable.

After doing so, we're left with:

-4x = -12

Multiply each term by -1

4x = 12

Divide both sides by 4.

x = 3

Now that we have a value for x, we can solve for y.

Plug this value into the first equation.

3 + 3y = 24

Subtract 3 from both sides.

3y = 21

Divide both sides by 3.

y = 7

7 0

3 years ago

If the area of the Arctic Ocean is 16% of the area o the Atlantic Ocean, what is the area of the Arctic Ocean?

Monica [59]

5120000. It is given that the area of the atlantic oean is 32 million. To find the arctice multiply the 32 million by 16% or .16 and you get 5120000

5 0

4 years ago

A bag contains 4 red marbles, 6 blue marbles, and 8 green marbles. One marble is to be chosen at random.

goldenfox [79]

4 red marbles
6 blue marbles
8 green marbles

Add:

4 + 6 = 10
10 + 8 = 18
18 total marbles

Green marbles/total marbles

8/18

Simplify:

8 ÷ 2 = 4
18 ÷ 2 = 9
Simplest form = 4/9

8/18 = 4/9
D. 4/9

6 0

4 years ago

given: sin theta= 2/3 and theta is in the second quadrant; evaluate the following expression. sin2theta

andre [41]

The value of $\sin(2\theta)$ is $-\frac {-4\sqrt 3 }9$

<h3>Sine ratio </h3>

The sine ratio is given as:

$\sin(\theta) = \frac23$

<h3>Trigonometry</h3>

In trigonometry, we have the following ratio

$\sin^2(\theta) + \cos^2(\theta) = 1$

Substitute $\sin(\theta) = \frac23$ in the above equation

$\frac 23 + \cos^2(\theta) = 1$

Collect like terms

$\cos^2(\theta) = 1 -\frac 23$

Evaluate

$\cos^2(\theta) =\frac 13$

Take square roots

$\cos(\theta) =\pm\frac 1{\sqrt 3 }$

Rationalize

$\cos(\theta) =\pm\frac {\sqrt 3 }3$

From the question, $\theta$ is in the second quadrant, and cosine is negative.

So, we have:

$\cos(\theta) =-\frac {\sqrt 3 }3$

In trigonometry, we have:

$\sin(2\theta) = 2\sin(\theta)\cos(\theta)$

So, we have:

$\sin(2\theta) = 2\times \frac 23 \times -\frac {\sqrt 3 }3$

$\sin(2\theta) = -\frac {-4\sqrt 3 }9$

Hence, the value of $\sin(2\theta)$ is $-\frac {-4\sqrt 3 }9$

Read more about trigonometry ratios at:

brainly.com/question/10417664

7 0

2 years ago