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OverLord2011 [107]
3 years ago
6

Need help with number 3

Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0
A. 8 books per shelf.
So you find the greatest common denominator of 32 and 56.
\frac{32}{56}  \div 8 =  \frac{4}{7}
B. 11 shelves
The max # of books per shelf would be 8.
4 shelves of mystery and 7 shelves of biography.
4 + 7 = 11

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Maria has a bag with 6 red marbles, 6 blue marbles, and 4 green marbles looking Maria picks one . She does not replace it and sh
Sati [7]

Answer: Hello there!

initially Maria has 6 red marbles, 6 blue marbles, and 4 green marbles.

You know that in the first pick, Maria gets a green marble ( this means that now there are 3 green marbles left)

Now we want to know the probability that she gets a red marble on the second pick.

Now there are 6 + 6 + 3 = 15 marbles in the bag, and 6 of them are red ones. Then the probability of getting one red is the number of red ones divided by the total amount ( which is the ratio of red marbles to total marbles)

this is 6/15.

now you can see that there is no 6/15 in the options, so we need to see which one is equivalent.

if we took the option C, 2/5, and multiply both denominator and numerator by 3, we get (3*2)/(3*5) = 6/15, then 2/5 and 6/15 are equivalents.

Then the correct answer is C.

Step-by-step explanation:

5 0
2 years ago
Which of the following is the solution for 6x + 3 ≤ 27
postnew [5]

Answer:

x  ≤  4

Step-by-step explanation:

6x + 3 ≤ 27        subtract 3 both sides

6x ≤ 24              divide 6 both sides

x ≤ 4                   There's your answer

5 0
3 years ago
If you flip a fair coin 7 times, what is the probability that you will get exactly 4 tails?
andre [41]

Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: \frac{35}{128}

Step-by-step explanation:

We need to find the probability that you will get exactly 4 tails, if you flip a fair coin 7 times.

This is the combination question.

The total combinations will be: 2^7=128

Now, finding number of ways we can get exactly 4 tiles:

We will use the formula:

^nC_k=\frac{n!}{k!(n-k)!}

in our given question, n= 7, k= 4

Putting values:

^nC_k=\frac{n!}{k!(n-k)!}\\^7C_4=\frac{7!}{4!*3!}\\ ^7C_4=\frac{7*6*5*4!}{4!*3!}\\ ^7C_4=\frac{7*6*5}{6}\\ ^7C_4=35

So, Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: \frac{35}{128}

Keywords: Probability

Learn more about Probability at:

  • brainly.com/question/1637111
  • brainly.com/question/2254182
  • brainly.com/question/2264295

#learnwithBrainly

7 0
3 years ago
3^x+2=8^x-1 Solve for x.
zubka84 [21]

I assume the equation is supposed to be

3^{x+2}=8^{x-1}

Then we can write

9\cdot3^x=\dfrac18\cdot8^x\implies\left(\dfrac38\right)^x=\dfrac1{72}

Take the logarithm of base 3/8 on both sides:

\log_{3/8}\left(\dfrac38\right)^x=\log_{3/8}\dfrac1{72}

\implies x\log_{3/8}\dfrac38=-\log_{3/8}72

\implies x=-\log_{3/8}72

- - -

If the equation is actually 3^x+2=8^x-1, I'm afraid it cannot be solved exactly.

5 0
3 years ago
Graph the inequality -n_<-5
katrin [286]

Answer:

See below

Step-by-step explanation:

This is just the same as n≤5, which would look like the attached number line.

5 0
2 years ago
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