What are some real world examples of how you can use the skills of proof writing?will give brainlyst have to be right

Answers

Answer 1

Answer: You can drive your parents crazy by correcting them when there work email is wrong

You can be paid to check other people’s work

You can always be top of your class

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The number of roses (r) in a garden increases when the number of weeds (w) decreases. Write the correct equation for this scenario, and solve for the number of roses when there are 5 weeds.Weeds Roses
10 20
20 10

Answers

Number of roses (r) in a garden increases when the number of weeds (w) decreases, this supports an inverse relationship between the two variables.
The formula is then therefore, r = k/w
Solve for constant first.
r = k/w
20 = k/10
200 = k

r=200/5
r=40 roses
40 roses when there are 5 weeds.

Answer:

The Inverse variation says that:

$y \propto (1)/(x)$ ,

then the equation is of the form:

$y = (k)/(x)$ or $xy = k$

Here, r represents the number of roses and w represents the number of weeds.

As per the statement:

The number of roses (r) in a garden increases when the number of weeds (w) decreases.

by definition of inverse variation:

$rw = k$ ....[1]

From the given table:

take any points

r = 20 and w = 10 then;

Substitute in [1] we have;

$(20)(10)= k$

Simplify:

k = 200

The equation becomes: $rw = 200$

We have to find the number of roses when there are 5 weeds.

⇒w = 5

then;

$r(5) = 200$

Divide both sides by 5 we get;

r = 40

Therefore, the number of roses are 40 when there are 5 weeds.

In a particular class of 32 students, 18 are men. What fraction of the students in the class are men?

Answers

18/32 = 9/16

9/16 is the fraction of the students in the class that are men.

Final answer:

The fraction of students in the class who are men can be calculated by dividing the number of men by the total number of students in the class. Given that there are 18 men in a class of 32 students, the fraction of men in the class is 9/16.

Explanation:

This question is dealing with the concept of fractions in mathematics. From the information given, we know that there are 32 students in the class and 18 out of those are men. To find the fraction of the class that is men, we divide the number of men by the total number of students in the class. This can be expressed as follows:

Number of men / Total number of students = Fraction of the class that are men.

By substituting the given figures into the formula we get:

18 / 32 = 9/16.

Therefore, 9/16 of the students in the class are men. This fraction can be further simplified by dividing both the numerator and denominator by the greatest common divisor.

Learn more about Fractions here:

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Simplify the sum. (2u^3 + 6u^2 + 3) + (2u^3 - 7u + 6)

Answers

Steps:

1) Group the like terms and simplify.

2) Do follow the BODMAS Rule. Simplify terms inside the brackets, first. Then, follow this serial: Division, Multiplication, Addition, Subtraction.

Method:

$(2u^3 + 6u^2 + 3) + (2u^3 - 7u + 6)$

= $2u^3 + 6u^2 + 3 + 2u^3 - 7u + 6$

= $2u^3+2u^3+6u^2-7u+3+6$

= $(2u^3+2u^3)+6u^2-7u+(3+6)$

= $4u^3+6u^2-7u+9$

Solve. 4x – 6 = 3x + 8

Answers

4x - 6 = 3x + 8
-3x+6 -3x+6
x = 14

x = 14

4x-6=3x+8
+6 +6
4x=3x+14
-3x -3x
x=14

answer- 14

3w squared-8w+4=0

(solving quadartc equations by factoring)

Answers

$3w^2-8w+4=0\n\n3w^2-6w-2w+4=0\n\n3w(w-2)-2(w-2)=0\n\n(w-2)(3w-2)=0\n\nw-2=0\ \ \ or\ \ \ 3w-2=0\n\nw=2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ w= (2)/(3)$

$3w^(2) - 8w + 4 \n = 3w^(2) - 6w - 2w + 4 \n= 3w(w - 2) -2( w - 2) \n = (3w - 2)(w - 2) \n w = 2/3 , w = 2$

The Johnsons own a home whose market value is $93,000. Their municipality taxes at 80% and the rate is 65 mills or $65 per thousand. What will the Johnsons pay in taxes?