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2 years ago

A bag contains 40 red and green marbles. The number of green marbles, g, is 9 times the number of red marbles, r.

Mathematics

1 answer:

Montano1993 [528]2 years ago

8 0

Answer:

4 red marbles

Step-by-step explanation:

r is the number of red marbles then green marbles is 9r , so

r + 9r = 40

10r = 40 ( divide both sides by 10 )

r = 4

there are 4 red marbles

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The ice cream shop offers 31 flavors. you order a double scoop cone how many different ways can the clerk put the ice cream on t

Lynna [10]

Answer:

465

Step-by-step explanation:

Since we are looking for the the number of combinations to have 2 different flavors in the ice cream, we can use the formula for combination.

$_{n}C_{k}=\dfrac{n!}{k!(n-k)!}$

Our variables are:

n = 31

k = 2

$_{31}C_{2}=\dfrac{31!}{2!(31-2)!}$

$_{31}C_{2}=\dfrac{31!}{2!29!}$

$_{31}C_{2}=465$

The number of possible combinations of having 2 different flavors out of 31 different flavors is 465.

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3 years ago

PLEASE HELP FAST!!!

Leni [432]

Answer:

Hello,

I just think that it is A

Why you may ask?

Because it has a Zero and that is an undefined number than

Step-by-step explanation:

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6 0

2 years ago

I answered it but I just need someone to answer just to make sure mine are right

Artemon [7]

<h2>The missing measures of the angles are:</h2>

$m\angle 1= 60^{\circ}\\\\m\angle 2= 39^{\circ}\\\\m\angle 3= 21^{\circ}\\\\m\angle 4 = 39^{\circ}\\\\m\angle 5 = 21^{\circ}$

<u>Given</u>:

$m\angle Z = 138^{\circ}$

<em><u>Note the following:</u></em>

An equilateral triangle has all its three angles equal to each other. Each angle = $60^{\circ}$ .

This implies that, since $\triangle WXY$ is equilateral, therefore, $m\angle Y = m\angle XWY = m\angle XYW = 60^{\circ}$

Base angles of an isosceles triangle are congruent to each other.

This implies that, since $\triangle WZY$ is isosceles, therefore, $m\angle 3 = \angle 5$

Applying the above stated, let's find the measure of each angle:

Find $m\angle 1$

$m\angle 1 = 60^{\circ}$ (an angle in an equilateral triangle equals 60 degrees)

Find $m\angle 2$

$m\angle 2 = 60 - m \angle 3$

$m\angle 2 = 60 -\frac{1}{2}(180 - 138)$ $(Note: \frac{1}{2}(180 - 138) = 1 $ base $ angle $ of $ \triangle WZY)$

$m\angle 2 = 60 -21\\\\m\angle 2 = 39^{\circ}$

Find $m\angle 3$ and $m\angle 5$ (base angles of isosceles triangle WZY)

$m\angle 3 = \frac{1}{2}(180 - 138) (1 $ base $ angle $ of $ \triangle WZY)$

$m\angle 3 = \frac{1}{2}(42) \\\\m\angle3 = 21^{\circ}$

$m\angle3 = m\angle 5$ (base angles of isosceles triangle are congruent)

Therefore,

$m\angle5 = 21^{\circ}$

Find $m\angle 4$

$m\angle 4 = 60 - m\angle 5$

Substitute

$m\angle 4 = 60 - 21\\\\m\angle 4 = 39^{\circ}$

The missing measures of the angles are:

$m\angle 1= 60^{\circ}\\\\ m\angle 2= 39^{\circ}\\\\m\angle 3= 21^{\circ}\\\\m\angle 4 = 39^{\circ}\\\\m\angle 5 = 21^{\circ}$

Learn more here:

brainly.com/question/2944195

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3 years ago

How do you create a graph for linear equation? I need to graph 3x=4

aev [14]

Answer:

Look at the graph below, hope this helped.

Step-by-step explanation:

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3 years ago

What is 5 1/3% as a simplified fraction

NNADVOKAT [17]

16/3%

=16/300

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I hope this helps you...

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2 years ago