MATHEMATICS HIGH SCHOOL

The ratio of Mark's age to Reeta's age is 3:5Mark's age is 24 years.
(a) Work out Reeta's age.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Set up a ratio. Solve for x.

$(3)/(5)=(24)/(x) \n3x = 120\nx=40$

Reeta is 40 years old.

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Write two statements that show the relationship between the values of the numbers 0.5 and 0.05

Answers

1. The value of 0.5 is ten times greater than the value of 0.05.

2. The value of 0.05 is one-tenth of the value of 0.5.

What is the probability of someone correctly guessing your Social Security number? (Assume all digits 0-9 are available for use)a

Answers

Answer: 1 / 999,999,999

Explanation:

You can do it in two different ways.

1) First approach

probability = number of positive events / number of possible events

i) number of positive events = 1 (your number is just one number)

ii) number of possible events = number of valid numbers

Assuming the smallest valid number is 1, and the greatest one is 999,999,999, that leads to 999,999,999 different numbers

iii) probability = 1 / 999,999,999

2) Second approach

i) there are 9 digits.

ii) the guesser must guess all the digits in the correct order

iii) since there are 10 digits, from 0 to 9, there are 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 1,000,000,000 different combinations

But that includes the number 000,000,000 which is not valid, so you have to subtract 1: 1,000,000,000 - 1 = 999,999,999

Which leads to the same result of the first approach.

$(1)/(10^9)=(1)/(1000000000)$

Choose the correct sum of the polynomials (3x3 − 5x − 8) + (5x3 + 7x + 3).8x3 + 2x + 5
2x3 − 12x − 11
2x3 + 12x − 5
8x3 + 2x − 5

Answers

The sum of the polynomials are $8x^(3)+2x-5$

Summation of Polynomials:

To find the sum of polynomials we have to add like terms.

Like terms are those terms which have same variable with same exponent power.

Given polynomials are,

$(3x^(3)-5x-8 )+(5x^(3)+7x+3 )\n\n=3x^(3)+5x^(3)-5x+7x-8+3\n \n =8x^(3)+2x-5$

Learn more about the polynomials here:

brainly.com/question/2833285

Answer:

Sum of the polynomials is $8x^3+2x-5$

D is the correct option.

Step-by-step explanation:

The given polynomial is $(3x^3-5x-8)+(5x^3+7x+3)$

Distribute plus over the parenthesis

$3x^3-5x-8+5x^3+7x+3$

Group the like terms.

$3x^3+5x^3-5x+7x-8+3$

Combine the like terms

$8x^3+2x-5$

Hence, the sum of the polynomials is $8x^3+2x-5$

D is the correct option.

-10 x 2 + 21x + 10 How do I factor this?

Answers

$-10x^2+21x+10=\n-10x^2+25x-4x+10=\n-5x(2x-5)-2(2x-5)=\n-(5x+2)(2x-5)$

The vertices of a feasible region are (14, 2), (0, 9), (6, 8), and (10, 3). What is the maximum value of P if P = 180x + 250y?

Answers

For this problem, we must first plot of each point using the given points. Assume that each coordinate given is in the (x,y) form. To get the maximum value, we can plus in each coordinate set to the equation to see which P comes out to be the largest. For (14,2), P=3020. For (0,9), P=2250. For (6,8), P=3080. For (10,3), P=2550. The maximum value for P would be P=3080.

Answer:

It’s C

Step-by-step explanation:

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