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daser333 [38]
3 years ago
11

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solutio

n set of this problem?
Mathematics
2 answers:
podryga [215]3 years ago
6 0

Answer:

x>16

Step-by-step explanation:

Let x be the unknown number

Given that 9 and one half less than 4 and one half times x is > 62.5

In algebraic terms this can be written as

4.5x-9.5>62.5

Add 9.5 to both the sides

We get

4.5 x> 72

Divide by 4.5

x>72/4.5 = 16

Hence answer is

x>16

kolbaska11 [484]3 years ago
4 0
4.5x - 9.5 > 62.5
4.5x > 62.5 + 9.5
4.5x > 72
x > 72/4.5
x > 16 <==
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Find the number of rectangles in 8×8 chessboard. (not just the 1x1 squares)
Gekata [30.6K]

Answer:

288

Step-by-step explanation:

<em>                                             Number of rectangles</em>

<em>____________________________________________________________</em>

1 × 1 squares 9-1 = 1 = 8*8 = 64

1 × 2 squares 9-2 = 7 = 8*7 = 56

1 × 3 squares 9-3 = 6 = 8*6 = 48

1 × 4 squares 9-4 = 5 = 8*5 = 40

1 × 5 squares 9-5 = 4 = 8*4 =32

1 × 6 squares 9-6 = 3 = 8*3 = 24

1 × 7 squares 9-7 = 2 = 8*2 = 16

1 × 8 squares 9-8 = 1 = 8*1 = 8

64 + 56 + 48 + 40 + 32 + 24 + 16 + 8 = 288

<em>Thus,</em>

<em>the number of squares on a chessboard is 228.</em>

<em />

<em>Hope this helps :)</em>

8 0
3 years ago
Then, answer Part B. A number cube that has sides numbered 1 through 6 is rolled 180 times. Part A How many times would you expe
Nitella [24]

Using the binomial distribution, it is found that the expected values are given by:

a) 120.

b) 150.

<h3>What is the binomial probability distribution?</h3>

It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.

Item a:

4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.

The expected value is given by:
E(X) = 180 x 2/3 = 120.

Item b:

5 of the 6 values are less than 6, hence p = 5/6.

The expected value is given by:
E(X) = 180 x 5/6 = 150.

More can be learned about the binomial distribution at brainly.com/question/24863377

4 0
2 years ago
Nayeli buys some packs of rubber bracelets. There are 8 bracelets in each pack
IceJOKER [234]

Answer:

Hey! Ok so the answer is 6.

Step-by-step explanation:

If 1 pack has 8 bracelets in each and she has 48 in total then you would have to divide the total to the number of bracelets in each pack so therefore 48 divided by 8 which is 6

Hoped this helped! Have an amazing day! Im Eve btw. also consider marking this brainliest thank you so much if you do!✨

6 0
2 years ago
Needhdjdjdjdjdjdnhiskdjdjdjdjdjdjjshdjdjdjdjdjdjdjd<br><br>​
Lilit [14]

9514 1404 393

Answer:

  -(√2)/2

Step-by-step explanation:

The expression evaluated at n=a gives the indeterminate form 0/0, so L'Hopital's rule can be used to find the limit. The second expression comes from differentiating numerator and denominator. Then the form with n=a is no longer indeterminate.

  \displaystyle\lim_{n\to a}{\frac{\sqrt{2n}-\sqrt{3n-a}}{\sqrt{n}-\sqrt{a}}}=\lim_{n\to a}{\frac{\frac{2}{2\sqrt{2n}}-\frac{3}{2\sqrt{3n-a}}}{\frac{1}{2\sqrt{n}}-0}}\\\\=\sqrt{a}\left(\frac{2}{\sqrt{2a}}-\frac{3}{\sqrt{3a-a}}}\right)=\boxed{-\frac{1}{\sqrt{2}}}

5 0
3 years ago
5. Lauren has $50 to spend at the Strawberry Festival. She spends $ 10 on admission and $12 on strawberry shortcake. She wants t
olga55 [171]

For this case we have that Lauren's initial amount of money was $ 50, if he spends $10 and $12 on admission and strawberry pie respectively we have:

$50 - ($10 + $12) = $50- $22 = $28

That is, she has $ 28 left

n: Let the variable that represents the amount of games Lauren can play.

Then, it must be fulfilled that:

0.75n \leq28\\n \leq \frac {28} {0.75}\\n \leq37.33

Thus, Lauren can play 37 times the game (at most)

ANswer:

n \leq37.33

Thus, Lauren can play 37 times the game (at most)

4 0
3 years ago
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