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3 years ago

Sean answered 18 of 20 quiz questions correctly. What percent of the quiz questions did Sean answer correctly?

2 answers:

ozzi3 years ago

8 0

The answer is 90%. You get this answer by multiplying both the numerator and denominator by 5 so 18x5=90 and 20x5=100 giving you a fraction of 90/100 and a percentage of 90%.

ipn [44]3 years ago

4 0

Answer:

Sean answered 90% of the questions in the quiz correctly.

Step-by-step explanation:

Sean answered 18 of 20 quiz questions correctly.

So, to know the percentage we can do the following calculation.

$\frac{18}{20}\times100= 90$ %

Therefore, Sean answered 90% of the questions in the quiz correctly.

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A shelter house has a floor area of 400 square feet. If three identical shelter houses are built, what is the combined floor are

ss7ja [257]

It would be 1,200 because you just have to multiply 400 times 3 hope it helped :)

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2 years ago

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Verify that P = Ce^t /1 + Ce^t is a one-parameter family of solutions to the differential equation dP dt = P(1 − P).

NemiM [27]

Answer:

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

$1-P=1-\frac{ce^t}{1+ce^t}=\frac{1+ce^t-ce^t}{1+ce^t}=\frac{1}{1+ce^t}$

Now, differentiate to obtain

$\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}$

$=\frac{(ce^t)(1+ce^t)-(ce^t)(ce^t)}{(1+ce^t)^2}=\frac{ce^t+ce^{2t}-ce^{2t}}{(1+ce^t)^2}=\frac{ce^t}{(1+ce^t)^2}$

To obtain the required form, extract a factor in both the numerator and denominator:

$\frac{dP}{dt}=\frac{ce^t}{1+ce^t}\frac{1}{1+ce^t}=P(1-P)$

3 0

3 years ago

Write the product 0.4x0.4x0.4 in exponential form

solmaris [256]

0.4x 0.4x 0.4 = (0.4)^3

Exponential form = (0.4)^3

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3 years ago

Question 9 (1 point)

vitfil [10]

Answer:

Option 3: 200L + 100B > 5,000

Step-by-step explanation:

Each laptop costs 200 dollars, so this could be represented as 200L. Each bike costs 100 dollars, so this could be represented as 100B.

Jonathan wants his total of laptops and bikes to be more that 5,000, so we have to add 200L and 100B. When added, it should be more than 5,000 dollars.

200L + 100B > 5,000

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2 years ago

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(PLEASE ANSWER!!) a college student completed some courses worth 4 credits and some courses worth 3 credits. the student earned

Ierofanga [76]

The college student took 13 courses of 3 credit hours.

Step-by-step explanation:

Given,

Total credits = 59

Total courses = 18

Let,

Number of 3 credit hour courses = x

Number of 4 credit hour courses = y

According to given statement;

x+y=18 Eqn 1

3x+4y=59 Eqn 2

We will eliminate y to find the number of 3 credit hour courses, therefore,

Multiplying Eqn 1 by 4

$4(x+y=18)\\4x+4y=72\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(4x+4y)-(3x+4y)=72-59\\4x+4y-3x-4y=13\\x=13$

The college student took 13 courses of 3 credit hours.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

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3 years ago