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Anarel [89]
3 years ago
14

The value of y varies directly with x. If x = 3, then y = 4. What is the value of x when y = 120 ?

Mathematics
2 answers:
Marizza181 [45]3 years ago
8 0

Answer:

x = 90

Step-by-step explanation:

If x = 3 and y = 4 then when y = 120 just find out what times 4 = 120

which is 30.

so just multiply 30 for x = 3, then the answer will be 90

x = 90

Over [174]3 years ago
5 0

Answer:

x=90

Step-by-step explanation:

x is directly proportional to y

Therefore, if the initial y value was 4 and the final y value is 120. This means that y initial had been multiplied 120/4 times, which is 30.

Same goes for x. If x initial is 3, then the final x value would be x/3=30. This means that x=3×30, which is equal to 90.

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Evaluate f(x)= -6+12 when x= -3,x=0, and x=1.
Anton [14]

Given :

A function, f(x) = -6 + 12

To Find :

The value of f(x) when x= -3, x= 0 and x=1.

Solution :

Given function is f(x) = -6 + 12 .

Simplifying above function, we get :

f(x) = 6

Now, the given function is independent of x.

So, for any value of x the the value of functions remains constant.

Hence, this is the required solution.

5 0
3 years ago
Solve. Write the solution in interval notation. -2x>-8 and -5x<20.
Novosadov [1.4K]

Answer:

The interval notation of the solution is (-4 , 4)

Step-by-step explanation:

* Let us explain a very important point in solving inequality

- When you multiply or divide an inequality by negative number we

   must reverse the symbol of the inequality

- Ex:

∵ 2 < 3

- If we multiply the both sides of the inequality by -1, then the

  inequality will be -2 < -3 and this is completely wrong, so we must

  reverse the symbol of the inequality

∴ -2 > -3

* Now let us solve the problem

∵ -2x > -8

- Divide both sides by -2 and remember to reverse the symbol of the

  inequality

∴ x < 4

∵ -5x < 20

- Divide both sides by -5 and remember to reverse the symbol of the

  inequality

∴ x > -4

- From both solutions

∴ -4 < x < 4

∴ The solution is {x : -4 < x < 4}

- Interval notation is a way of writing the solutions of inequalities

 ( , ) if x does not equal the end numbers

 [ , ] if x equals the end numbers

 [ , ) , ( , ] if x equals one of the two end numbers

* The interval notation of the solution is (-4 , 4)

4 0
3 years ago
If Dorie devotes the same number of hours to studying for these three classes each week, what is the total number of hours Kathl
expeople1 [14]

Answer:

The answer is 17.2 hours

Step-by-step explanation: Because first you add all hours together (which is 86/15) then multiple it by 3 (week) which is 86/5 = 17.2 hours

4 0
2 years ago
(a) A natural number that is greater than 25 and less than 40
zloy xaker [14]

<u>Step-by-step explanation:</u>

(a) A natural number that is greater than 25 and less than 40

Natural Number : These are numbers starting from 1 or also sometimes from zero and are all positive !  A natural greater than 25 & less than 40 is 30 .

(b) An integer which is less than -5 and a multiple of 2

Integer : An integer is a whole number not a fraction including 0 . It can be positive or negative ! Integer less than -5 and a multiple of 2 is -6.

(c) A rational number between 1 and 2

Rational Number : A number which can be expressed in form of p/q where q is not equal to 0 . A rational number between 1 & 2 is 3/2 .

(d) An irrational number between 8 and 9.​

Irrational Number: A real number which is not rational or can't be written in form of p/q . An irrational number between 8 & 9 is 6\sqrt{2} .

5 0
3 years ago
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stiks02 [169]

Answer:

mary broke

Step-by-step explanation:

it simple she will need to pay 2338 apples

4 0
3 years ago
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