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mestny [16]
3 years ago
13

There are 1096 marbles in a bag. One of the marbles is to be randomly chosen from the bag. If the probability that a red marble

will be selected is 5/8, how many red marbles are in a bag?
Mathematics
1 answer:
erica [24]3 years ago
6 0

Answer: 685 red marbles

Step-by-step explanation:

Lets set up a proportion:

x/1096 = 5/8

(For every 8 marbles, 5 of them are red)

Then we cross multiply

5480 = 8x

and divide!

so 685 marbles

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Liz earns a salary of $2,100 per month, plus a commission of 5% of her sales. She wants to earn at least $2,400 this month. How
Nookie1986 [14]
Hello! She earns a salary of $2,100, which is the fixed amount each month, plus 5% commission on her sales. To find out the amount of sales that will help her reach her goal, set up the inequality like this:

2,100 + 0.05x ≥ 2,400

We set it up like this, because $2,100 is the one-time price per month, and she earns 5% of her sales as commission. Plus, the key words "at least" means the inequality sign is greater than or equal to (≥)

How to solve this:

First off, subtract 2,100 from both sides, when you do, you get 0.05x ≥ 300. Now, divide each side by 0.05 to isolate the "x". 300/0.05 is 6,000. Let's check this. 6,000 * 5% (0.05) is 300. There. x = 6,000. Liz will need to sell $6,000 worth of items this month in order to meet her goal.
7 0
3 years ago
(7+5 + 4 . 13 - 2 <br><br> Please simplify this expression with all steps thank you
FinnZ [79.3K]

Answer:

We apply the BODMAS rule

(7+5+4).(13-2)

(16).(11)

=176

Hope was useful

6 0
3 years ago
Read 2 more answers
A certain shampoo is available in two sizes. A 12.6-ounce bottle costs $2.37. A 25.3-ounce bottle costs $5.24.
neonofarm [45]

Answer:

The 12.6 oz bottle

Step-by-step explanation:

0.19/oz for the 12.6 oz

0.21/oz for the 25.3 oz

4 0
3 years ago
Use the diagram to answer the question.
sdas [7]

Answer:

0'777

+765

Step-by-step explanation:

3 0
3 years ago
Simplify expression x8y-26/x14y-5 × x-39y-21
koban [17]

The simplified form of the expression is x^{-45} y^{-42}

<h3>Simplifying an expression</h3>

From the question, we are to simplify the given expression

The given expression is

\frac{x^{8}y^{-26}  }{x^{14}y^{-5}  } \times x^{-39} y^{-21}

The expression can be simplified as shown below

\frac{x^{8}y^{-26}  }{x^{14}y^{-5}  } \times x^{-39} y^{-21}

\frac{x^{8} \times x^{-39} \times  y^{-26} \times  y^{-21}  }{x^{14} \times y^{-5}  }

\frac{x^{8+-39} \times  y^{-26+-21}  }{x^{14} \times y^{-5}  }

\frac{x^{8-39} \times  y^{-26-21}  }{x^{14} \times y^{-5}  }

\frac{x^{-31} \times  y^{-47}  }{x^{14} \times y^{-5}  }

Then,

\frac{x^{-31} }{x^{14} } \times \frac{ y^{-47} }{ y^{-5} }

x^{-31-14} \times y^{-47--5}

x^{-31-14} \times y^{-47+5}

x^{-45} \times y^{-42}

x^{-45} y^{-42}

Hence, the simplified form of the expression is x^{-45} y^{-42}

Learn more on Simplifying an expression here: brainly.com/question/2320607

#SPJ1

3 0
2 years ago
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