MATHEMATICS HIGH SCHOOL

Convert the mixed number 3¼ to a percent.a. 375%
b. 333%
c. 314%
d. 325%

Answers

Answer 1
Answer: 3 and 1/4=3+0.25=3.25/1

percent means parts out of 100 so x%=x/100
3.25/1 times 100/100=325/100=325%

D
Answer 2
Answer: Hi there! We know that 1/4=0.25*100=25%. If you add the 3 in 3 1/4 it would be 3.25, 3.25*100=325. Therefore, the answer is D. 325%

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What is one third plus one fourth and what is 1/3 + 1/2

Answers

(1)/(3)+(1)/(4)=(4)/(12)+(3)/(12)=(7)/(12)\n \n \n(1)/(3)+(1)/(2)=(2)/(6)+(3)/(6)=(5)/(6)

1/3+1/2=5/6
and 1/4+1/3=7/12

What is the factored form of the polynomial?

x2 − 12x + 27?

Answers

Answer:

The factors of the expression in the question x² − 12x + 27 = 0  are (x - 9)(x -3) .

Step-by-step explanation:

As given the expression in the question be as follow .

x² − 12x + 27 = 0

x² - 9x - 3x + 27 = 0

x (x - 9) -3 (x -9) = 0

(x - 9)(x -3) = 0

Therefore the factors of the expression in the question x² − 12x + 27 = 0  are (x - 9)(x -3) .

The factored form of the polynomial ( x² - 12x + 27 ) is ( x-3 )( x-9 ).

What is the factored form of the polynomial?

Given that;

  • x² - 12x + 27
  • Factored form = ?

First, we think of two numbers where their addition gives -12 and their multiplication gives 27.

-3 and -9 fits perfectly.

Hence we have;

x² - 12x + 27

( x-3 )( x-9 )

Therefore, the factored form of the polynomial ( x² - 12x + 27 ) is ( x-3 )( x-9 ).

Learn more about factorizations here: brainly.com/question/1863222

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The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?

Answers

S-Sam's\ age\nH-Hank's\ age\n\n \left\{\begin{array}{ccc}(S)/(H)=(5)/(3)\nS+H=24&\to S=24-H\end{array}\right\n\nsubstitute\ S=24-H\ to\ (S)/(H)=(5)/(3)\n\n(24-H)/(H)=(5)/(3)\n\ncross\ multiply\n\n5H=3(24-H)\n5H=72-3H\n5H+3H=72\n8H=72\ \ \ /:8\nH=9\n\nAnswer:Hank\ is\ 9\ years\ old.

Josephine noticed that out of 10 e-mails she received, 7 were advertisements. What can she predict about the number of advertisements she will receive in the next 100 e-mails?

Answers

Josephine will receive approximately 70 advertisements in the next 100 e-mails she receives.

What is the probability?

The possibility of an event in time is known as probability in mathematics. How frequently does the incidence occur over the course of a specific time period, in plain English?

If Josephine received 7 advertisements out of 10 e-mails, then we can say that the probability of receiving an advertisement in a single e-mail is 7/10 or 0.7.

Assuming that the probability of receiving an advertisement in an e-mail remains the same for all e-mails, we can use this probability to make a prediction about the number of advertisements she will receive in the next 100 e-mails.

The expected number of advertisements in 100 e-mails can be calculated by multiplying the probability of receiving an advertisement in a single e-mail by the total number of e-mails:

Expected number of advertisements = probability of an advertisement x total number of e-mails

= 0.7 x 100

= 70

Therefore, based on the given information, we can predict that Josephine will receive approximately 70 advertisements in the next 100 e-mails she receives.

To learn more about the probability;

brainly.com/question/11234923

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She can expect 70 to be ads since there is 10 times more emails so 7 times 10 is 70 so 70 ads

If one of the zeros of 3x^2+5x+γ=0 is 4 times the other, then find the zero and value of k

Answers

Answer:

Step-by-step explanation:

Let α be one of the zeros of the polynomial.

Other = 4α

α + 4α = - Coefficient of x / Coefficient of x² = -5/3

5α = -5/3

α = -5/3*5

α = -1/3

α * 4α = Constant term/Coefficient of x²

4α² = k / 3

4*((-1)/(3))^(2)=(k)/(3)\n\n4*(1)/(9)=(k)/(3)\n\n4*(1)/(9)*3=k\n\n4*(1)/(3)=k\n\nk=(4)/(3)

5x-8 (4x-7)=2 solve for x

Answers

5x - 8(4x - 7) = 2

First, expand your problem. / Your problem should look like: 5x - 32x + 56 = 2
Second, simplify 5x - 32x + 56. / Your problem should look like: -27x + 56 = 2
Third, subtract 56 from both sides. / Your problem should look like: -27x = 2 - 56
Fourth, subtract 2 - 56 to get -54. / Your problem should look like: -27x = -54
Fifth, divide both sides by -27. / Your problem should look like: x = (-54)/(-27)
Sixth, simplify the fraction to - (54)/(27) / Your problem should look like: x = (54)/(27)
Seventh, simplify. / Your problem should look like: x = 2

Answer: x = 2
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