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dimaraw [331]
3 years ago
10

5 baseballs to 25 softballs in simplest form

Mathematics
1 answer:
muminat3 years ago
8 0

as a ratio: its 1 : 5. same with a frac like 5/25 = 1/5

brainliest?

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Of the students attending a school party, 60% of the students are girls, and 40% of the students like to dance. After these stud
elena-s [515]

Answer:

252 students at the party like to dance

Step-by-step explanation:

Given:

60% of the students are girls

40% of the students like to dance

20 more boy students

Percentage of the girls in the party = 58%

To Find:

How many students now at the party like to dance=?

Solution:

Let the number of girls be g.

Let the number of total people originally be t.

We know that

\frac{g}{t}=\frac{60}{100}

\frac{g}{t}=\frac{3}{5}----------------------------------(1)

We also know that

\frac{g}{t+20}=\frac{58}{100}

\frac{g}{t+20}=\frac{29}{50}-----------------------------(2)

We now have a system of equation from (1) and (2)

3t=5g

g = \frac{3t}{5} ------------------------(3)

50g=29t+580------------------------(4)

Substituting 3 in 4, we get

50(\frac{3t}{5})=29t+580

(\frac{150t}{5})=29t+580

30t =29t+580

30t -29t = 580

t =589

So originally there was 580 students

In this 580 students 40% liked to dance

Then the number of students liked to dance =

=> 40\% \text{of} 580

=>\frac{40}{100} \times 580

=>0.4 \times 580

=> 232

We also know that with these people, 20 boys joined, all of whom like to dance.

Now the number of students like to dance  = 232+20 = 252 students

7 0
3 years ago
A marketing firm would like to test-market the name of a new energy drink targeted at 18- to 29-year-olds via social media. A st
Anon25 [30]

Answer:

(a) The probability that a randomly selected U.S. adult uses social media is 0.35.

(b) The probability that a randomly selected U.S. adult is aged 18–29 is 0.22.

(c) The probability that a randomly selected U.S. adult is 18–29 and a user of social media is 0.198.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = an US adult who does not uses social media.

<em>Y</em> = an US adult between the ages 18 and 29.

<em>Z</em> = an US adult between the ages 30 and above.

The information provided is:

P (X) = 0.35

P (Z) = 0.78

P (Y ∪ X') = 0.672

(a)

Compute the probability that a randomly selected U.S. adult uses social media as follows:

P (US adult uses social media (<em>X'</em><em>)</em>) = 1 - P (US adult so not use social media)

                                                   =1-P(X)\\=1-0.35\\=0.65

Thus, the probability that a randomly selected U.S. adult uses social media is 0.35.

(b)

Compute the probability that a randomly selected U.S. adult is aged 18–29 as follows:

P (Adults between 18 - 29 (<em>Y</em>)) = 1 - P (Adults 30 or above)

                                            =1-P(Z)\\=1-0.78\\=0.22

Thus, the probability that a randomly selected U.S. adult is aged 18–29 is 0.22.

(c)

Compute the probability that a randomly selected U.S. adult is 18–29 and a user of social media as follows:

P (Y ∩ X') = P (Y) + P (X') - P (Y ∪ X')

                =0.22+0.65-0.672\\=0.198

Thus, the probability that a randomly selected U.S. adult is 18–29 and a user of social media is 0.198.

6 0
3 years ago
A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the new
steposvetlana [31]

Answer:

Below.

Step-by-step explanation:

The dimensions will be 10 * 12.

(each new dimension will be 4 times the original)

The new perimeter will be 4 times the original.

The new area will be 16 times the original ( 4 * 4 = 16).

The new perimeter will be 44 cm.

6 0
3 years ago
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Help plz most of points!
dmitriy555 [2]
First, we need to know how much profit in dollar value by this method
profit = percentage × whole price

Plug in the numbers to the formula above
profit = percentage × whole price
profit = 40% × 25
profit = 0.40 × 25
profit = 10
The profit Daniel gets is $10

Second, add the original price and the profit together and you'll find the new price.
new price = original price + profit
new price = $25 + $10
new price = $35

Daniel sold the computer game for $35
3 0
3 years ago
Have a wonderful day and here are free pts to make your day better &lt;3<br> 12 x 7 = ?
Rom4ik [11]

Answer:

its 84 but tysm thats so sweet

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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