What does it mean when we say we say direct and inverse(indirect) proportion ???​

Answers

Answer 1
Answer:

Answer:

when two things are said to be in inverse proportion , the two things are connected to each other in a particular way that if one thing increases its quantity the other will decrease .

For example : More the number of workers the less time needed to finish the work.

hope this helps you .

itz Indian heart

Answer 2
Answer:

Answer:

A direct and inverse proportion is used to show how the quantities and amount are related to each other. For example, if we say, a is proportional to b, then it is represented as 'a∝b' and if we say, a is inversely proportional to b, then it is denoted as 'a∝1/b'.

What is the direct proportion?

Direct proportion is the relationship between two variables whose ratio is equal to a constant value.

Example

The term direct proportion means that two (or more) quantities increase or decrease in the same ratio. For example, in the purple paint mixture, the ratio of blue to red of 4:3. This does not necessarily mean we every mixture would have 4 red and 3 blue cans.

Formula

In mathematical statements, it can be expressed as y = kx. This reads as “y varies directly as x” or “y is directly proportional as x” where k is constant in the equation.

What is the indirect proportion?

Inverse proportion occurs when one value increases and the other decreases.

Example

More workers on a job would reduce the time to complete the task. They are inversely proportional.

Formula

The equation for inverse proportion is x y = k or x = k/ y. Therefore, for finding the value of the constant k, you can use the known values and then use this formula to calculate all the unknown values.


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Steve is turning half of his backyard into a chicken pen. His backyard is a 24-meter by 45-meter rectangle. He wants to put a chicken wire fence along the west side of the yard, the south side of the yard, and along the diagonal connecting the northwest to the southeast corner of the yard. How many meters of fencing will Steve need to fully enclose this area?

Each marble bag sold by Melissa's Marble Company contains 3 orange marbles for every 5 blue marbles. If a bag has 24 orange marbles, how many blue marbles does it contain?

Answers

3/5=24/x. cross multiply, you get 120=3x. divide by 3, x = **40**
3:5

3 to 5

 3
-----
 5

First we will divide to see who many sets of orange there are in the bag.

24 ÷ 3 = 8

Since there are 8 sets of orange we will multiply8 by 5 since for every 3 orange marbles there are 5 blue marbles. 

8 × 5 = 40

SO, a bag contains 24 orange marbles and 40 blue marbles. 

Hope i helped ya!

Find the equation of the line through the point (2, 5) that cuts off the least area from the first quadrant. Give your answer using the form below.y-A = B(x-C)

Answers

The answer is....... No problem. 5-a=b (2-5c)

Find the third, fifth, and tenth terms of the sequence described by the rule.A(n)= -5+ (n - 1)(6)
A(3) =
(Simplify your answer.)
A(5) =
(Simplify your answer.)
A(10) =
(Simplify your answer.)

Answers

A(3)= 6
A(5)= -19
A(10)= -49

a company pays its employees a base salary of $1000 every other week. plus $30 for each sale. How many sales did the employee have if the paycheck is $1540

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F(x)= 1000+30x
1540=1000+30x
1540-1000=30x
540/30=x
X=18
18 sales
The correct answer is 18 sales. 18 x 30 + 1000 = 1540.

A restaurant has one type of lemonade that is 12% sugar and another that is 7% sugar. How many gallons of each type does the restaurant need to make 20 gallons of a lemonade mixture that is 10% sugar?A) 12 gallons of the 12%, and 8 gallons of the 7%
B) 10 gallons of the 12% and 10 gallons of the 7%
C) 8 gallons of the 12% and 12 gallons of the 7%
D) 2 gallons of the 12% ad 18 gallons of the 7%

Answers

Answer: 12 gallon of 12% sugar and 8 gallon of 7% sugar.

Step-by-step explanation:

Let we use x gallon of 12% of sugar mixture and y gallon of 7% of sugar mixture.

Thus, According to the question,

The resultant mixture having quantity 20 gallon,

Therefore, x + y = 20 ------(1)

Also, Sugar in x gallon mixture + sugar in y gallon mixture = sugar in  resultant mixture.

Again according to the question,

Resultant mixture has 10% of sugar.

Therefore, 12% of sugar in x gallon + 7% sugar in y gallon = 10% sugar in 20 gallon

0.12 x + 0.07 y = 0.2

12 x + 7 y = 200  --------(2)

7× equation (1),

We get, 7x + 7y = 140 -----(3)

Equation(1) - equation (3)

5 x = 60

x = 12

By putting the value of x in equation (1),

12 + y = 20

y = 8

Thus, He will add 12 gallon of 12% sugar mixture and 8 gallon of 7% sugar mixture for obtaining 20 gallon of 10% sugar mixture.

Therefore, First Option is correct.






10% of 20 is 2
12 × 0.12 (this is 12%) = 1.44
8 × 0.07 (this is 7%) = 0.56
1.44 + 0.56 = 2.00

Therefore, the correct answer is A.

Given the definition of rational numbers, are decimals like 0.5 and 0.3 rational numbers? Why or why not?

Answers

Givendecimals like 0.5 and 0.3 are rational numbers because they are terminating decimals and can be written as p/q

What are rational numbers?

Rational numbers are numbers which can be written in the form p/q , where p and q are integers ,q≠0, highest common factor of p and q is 1.

The decimal expansion of rational number are terminating decimal expansion or non terminating and recurring decimal expansions.

Examples of rational number: 1/2 , 3/4, 13/2, 0.125,0.5, 0.55555....,

0.1212121212.....

As the given decimals 0.5 and 0.3 have terminatingdecimal expansion  therefore they are rational numbers.

The rational form of 0.5 and 0.3 are

0.5 = 5/10 = 1/2

∴ 0.5 is written as p/q with p= 1 and q =2≠0 , p and q are coprime

0.3 = 3/10  

0.3 is written as  p/q with p= 3 and q =10≠0 , p and q are coprime

Therefore, 0.5 and 0.3 are rational numbers.

Also, Learn more about rational numbers from the link below:

brainly.com/question/24398433

#SPJ2

Answer:

Yes they are rational numbers

Step-by-step explanation: