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Arte-miy333 [17]
3 years ago
10

A bag contains 9 marbles: 3 are green, 4 are red, and 2 are blue. Martina chooses a marble at random, and without putting it bac

k, chooses another one at random. What is the probability that the first marble is red and the second is blue? Write your answer as a fraction in simplest form.
Mathematics
1 answer:
Nana76 [90]3 years ago
4 0
The probability that the first one is red is: 4/9
The probability of the second one is blue is: 2/9
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The area of a square patio is 196 square feet how long is each side of the patio ​
bonufazy [111]

Answer:

14 ft

Step-by-step explanation:

Let x be the length of each side

  1. Turn it into an algebraic expression: x^{2} = 196  
  2. 14 × 14 = 196
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I hope this helps!

7 0
3 years ago
Doris made 80 cookies this week. She baked 4 less than three times the total she made last week. Which equation, when solved for
sertanlavr [38]

Answer:

The equation is  3x-4=80

The value of x is 28 cookies

Step-by-step explanation:

Let

x ---->  the number of cookies she baked last week

we know that

The number of cookies she baked last week multiplied by 3 minus 4 must be equal to 80 cookies

so

The linear equation that represent this situation is

3x-4=80

solve for x

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3 years ago
How many ways can 6 letters be arranged 3 at a time
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Answer in attachment

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6 0
2 years ago
A cat is stuck in a tree. A firefighters 15-foot ladder is the leaning against a tree. The ladder and the ground form a 62° angl
artcher [175]
To solve this problem you must apply the proccedure shown below:

 1. You have:

 Sinα=opposite/hypotenuse

 α=62°
 opposite=x
 hypotenuse=15 ft

 2. When you substitute the values into  Sinα=opposite/hypotenuse, you obtain:

 Sinα=opposite/hypotenuse
 Sin(62°)=x/15

 3. You must clear "x", as below:

 x=(15)(Sin(62°))
 x=13.24 ft

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5 0
3 years ago
Jim is investing in the stock market. Jim is hoping to earn $2,000 in interest in order to take a trip to Mexico. Stock A earns
Vanyuwa [196]

Given:

Total amount for investment = $32000

Rate of interest for Stock A = 4%

Rate of interest for Stock B = 7%

Jim is hoping to earn $2,000 in interest.

To find:

The amount of investments in Stock A and Stock B.

Step-by-step explanation:

Let amount of investments in Stock A = $x

Amount of investments in Stock B = $y

Total amount for investment = $32000

x+y=32000        ...(i)

Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.

0.04x+0.07y=2000           ...(ii)

From (i) and (ii), we get

0.04x+0.07(32000-x)=2000

0.04x+2240-0.07x=2000

-0.03x=2000-2240

-0.03x=-240

Divide both sides by -0.03.

x=\dfrac{-240}{-0.03}

x=8000

Put x=8000 in (i).

8000+y=32000  

y=32000-8000  

y=24000  

Therefore, the amount of investments in Stock A and Stock B are $8000 and $24000 respectively.

8 0
2 years ago
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