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3 years ago

can somebody please help me write an algebraic expression for the word problem “the quotient of a number and 12”

Mathematics

1 answer:

horrorfan [7]3 years ago

5 0

Answer:

n/12

Step-by-step explanation:

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Paul predicts that n stalks of corn planted together will produce (2n2–2n)(2n2–2n) ears of corn. If Paul plants three corn plant

Free_Kalibri [48]

Given that the production of n stalks of corn planted has been modeled by (2n^2-2n), then the approximate ears of corn produced by 3 stalks will be given by:
2n^2-2n
plugging in n=3 in the formula we get:
2(3)^2-2(3)
simplifying we get:
2(9)-6
=18-6
=12
the answer is: 12 ears

6 0

3 years ago

A bag contains 6 red apples and 5 yellow apples. 3 apples are selected at random. Find the probability of selecting 1 red apple

tester [92]

Answer: The required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

Step-by-step explanation: We are given that a bag contains 6 red apples and 5 yellow apples out of which 3 apples are selected at random.

We are to find the probability of selecting 1 red apple and 2 yellow apples.

Let S denote the sample space for selecting 3 apples from the bag and let A denote the event of selecting 1 red apple and 2 yellow apples.

Then, we have

$n(S)=^{6+5}C_3=^{11}C_3=\dfrac{11!}{3!(11-3)!}=\dfrac{11\times10\times9\times8!}{3\times2\times1\times8!}=165,\\\\\\n(A)\\\\\\=^6C_1\times^5C_2\\\\\\=\dfrac{6!}{1!(6-1)!}\times\dfrac{5!}{2!(5-2)!}\\\\\\=\dfrac{6\times5!}{1\times5!}\times\dfrac{5\times4\times3!}{2\times1\times3!}\\\\\\=6\times5\times2\\\\=60.$

Therefore, the probability of event A is given by

$P(A)=\dfrac{n(A)}{n(S)}=\dfrac{60}{165}=\dfrac{4}{11}\times100\%=36.36\%.$

Thus, the required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

4 0

3 years ago

What is two thirds x plus three fiths equal thirteen fiths: 2/3x + 3/5=13/5

zepelin [54]

-3/5 to get 10 then divide 10 by 2/3.

6 0

3 years ago

in a survey of 500 voters 430 said they would vote for the same candidate again what percent of the voters would vote the same w

Nina [5.8K]

Answer:

86%

Step-by-step explanation:

430 × 100 = 430 = 86%

500 1 5

you are going to cancel. 100 divided by 100 leaves 1. 500 divided by 100 is 5.

430×1= 430. 5×1=5. divide 430 by 5 and you"ll get 86.

8 0

3 years ago

Read 2 more answers

3. (6 Points). Solve the initial value problem y'-y.cosx=0, y(pi/2)=2e

Stells [14]

Answer:

$y=2e^{sin(x)}$

Step-by-step explanation:

Given equation can be re written as

$\frac{\mathrm{d} y}{\mathrm{d} x}-ycos(x)=0\\\frac{\mathrm{d} y}{\mathrm{d} x}=ycos(x)\\\\=> \frac{dy}{y}=cox(x)dx\\\\Integrating \\ \int \frac{dy}{y}=\int cos(x)dx \\\\ln(y)=sin(x)+c$ ............(i)

Now it is given that y(π/2) = 2e

Applying value in (i) we get

ln(2e) = sin(π/2) + c

=> ln(2) + ln(e) = 1+c

=> ln(2) + 1 = 1 + c

=> c = ln(2)

Thus equation (i) becomes

ln(y) = sin(x) + ln(2)

ln(y) - ln(2) = sin(x)

ln(y/2) = sin(x)

$y= 2e^{sinx}$

7 0

3 years ago