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2 years ago

Only help if u know :D

Mathematics

1 answer:

serg [7]2 years ago

7 0

The number of students in the school given the number of people that attended the dance is 128.

<h3>How many students are there?</h3>

Percentage is the fraction of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.

Number of students = number of students at the dance / percentage that attended the dance

32 / 25%

32 / 0.25 = 128

To learn more about percentages, please check: brainly.com/question/25764815

#SPJ1

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Thomas can process a pile of paperwork in 4 hours less time than Frank. Together they can process the pile in 2.1 hours. How lon

stiks02 [169]

Answer:

F = 7 hours

Step-by-step explanation:

Let the time taken by Frank to work alone be F.

Translating the word problem into an algebraic equation;

Thomas alone takes (F - 4) hours.

Combine time = 2.1 hours

Their individual work rate expressed in piles per hour are;

Frank = 1/F

Thomas = 1/(F - 4)

Combined rate = 1/F + 1/(F - 4)

Simplifying the equation, we have;

Combined rate = (F - 4 + F)/F(F - 4)

Combined rate = (2F - 4)/F(F - 4)

Combined rate = (2F - 4)/(F²- 4F)

Now to find the time taken when they work together is;

(2F - 4)/(F²- 4F) = 1/2.1

Cross-multiplying, we have;

2.1*(2F - 4) = F² - 4F

4.2F - 8.4 = F² - 4F

Rearranging the equation, we have;

F² - 4.2F - 4F + 8.4 = 0

F² - 8.2F + 8.4 = 0

Solving the quadratic equation by factorization;

Factors = -7 and -1.2

F² - 7F - 1.2F + 8.4 = 0

F(F - 7) - 1.2(F - 7) = 0

(F - 7)(F - 1.2) = 0

Therefore, F = 7 or 1.2 hours

The time taken by Frank alone would be 7 hours.

8 0

3 years ago

of the trains that recently pulled into Westford Station, 16 were full and 4 had room for morepassengers. What is the experiment

artcher [175]

The formula for probabilty is given by; the Probability of an event(A) is the number of favorable outcomes divided by the total number of outcomes possible in a scenario. It can also be denoted by the formula:

$P(A)=\frac{Number\text{ of Favorable Outcome}}{\text{Total Number of }Outcome}$

In our problem we have 16 trains that are full and 4 which are not, therefore there are a total number of 20 trains in the Westford Station.

The number of favorable outcome is equal to the number of trains that are full since it is the one asked in our question as the one which is more favored to come, according to the question.

Therefore, the number of favorable outcome = number of full trains = 16, and

The Total number of Outcome = total number of trains that may pull over to Westford Station = 20

Therefore the experimental probability that a full train will pull over in the station is;

$\begin{gathered} P(A)=\frac{Number\text{ of Favorable Outcome}}{\text{Total Number of Outcome}}\text{ = }\frac{16}{20} \\ P(A)=\frac{16}{20}=\frac{4}{5} \\ P(A)=\frac{4}{5} \end{gathered}$

Therefore there is a probabilty of 4/5 or 80% that a full train will pull over the station.

5 0

1 year ago

Provide the value of k: <br> (2x-1)(kx+1)=6x^2-x-1

guapka [62]

Answer:

k = 3

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms on both sides.

(2x - 1)(kx + 1) ← expand using FOIL

= 2kx² + 2x - kx - 1

Compare the coefficients of the x² term on both sides

2k = 6 ( divide both sides by 2 )

k = 3

4 0

3 years ago

Read 2 more answers

Simplify the exponent <br> -(7)^3

miv72 [106K]

Step-by-step explanation:

Esa sería la respuesta -7×-7×-7=-343

5 0

3 years ago

Is it possible to prove the triangles congruent? if so, what postulate would you use?

amid [387]

Answer:

Is in the attached image.

Hope this helped

-Adan

8 0

3 years ago