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2 years ago

Y is directly proportional to x when y=30, x=6

Mathematics

1 answer:

rosijanka [135]2 years ago

4 0

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

$\therefore \: y \: \alpha \: \: x \\ \therefore \: y = kx ...(1) \\ plug \: y = 30 \: and \: x = 6 \: in \: eq \: (1)\\ 30 = k \times 6 \\ k = \frac{30}{6} \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\ \huge \red{ \boxed{y = 60}}$

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morpeh [17]

Answer:

Step-by-step explanation:

y = 6x

if x = 1 , y = 6

if x = 2 , y = 12

if x = 3 , y = 18

if x = 4 , y = 24

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2 years ago

7. Mr. Garcia bought 27 large boxes of chlorine tablets and 33 small boxes of chlorine tablets. Each

AVprozaik [17]

Answer:

$2,487.00

Step-by-step explanation:

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3 years ago

What is the length of the hypotenuse of the triangle when x=14

astra-53 [7]

The length of the hypotenuse will be equal to H=122.25 when value of x=14.

<h3>What is pythagorean theorem?</h3>

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal the square of the sum of the other two sides.

It is given that:

Value of x=14

The perpendicular is =6x+5=6x14+5=89

The base is =6x=84

So by using the Pythagorean theorem:-

$H^2=P^2+B^2\\\\\\H^2=89^2+84^2\\\\\\H=\sqrt{89^2+84^2}\\\\\$

Hence the value of hypotenuse will be H=122.25

To know more about the Pythagorean theorem follow

brainly.com/question/343682

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1 year ago

Pls help due ASAP <br> Show workings pls

kobusy [5.1K]

The answer is c
you (4,4) and another point need to be double (2,-5) so the other point needs to add to (4,-10) so 4 + 0 is 4 and 4 + - 14 = 10

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3 years ago

How many words can be formed by using the W,X,Y,Z if repetitions is not allowed?

Setler [38]

Answer:

Step-by-step explanation:

What you have here is a permutation, seeing as each element can only be used once.

We have 4 letters initially, so we can choose any 1 as our first letter. We have 4 choices for our first letter

However, once we choose our first letter, we can't use it anymore, so, for our second letter, we can only choose from the remaining 3 letters.

Furthermore, once we choose our second letter, we can only choose our 3rd letter from the remaining two letters we didn't choose yet.

Finally, our last letter will always be the one we didn't choose the last 3 times. So there is only one choice here.

Going off of this, we have four choices for the 1st letter, three choices for the 2nd letter, two choices for the 3rd letter, and one choice for the 4th letter

The way to calculate how many permutations we have without repetition is using factorials

Where N is the number of elements you have.

In this case, it would be 4!

4! is 4 * 3 * 2 * 1

Which equals 24

If you notice, each number in 4! is the number of options we have for each choice. 4, then 3, and so on

5 0

2 years ago