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3 years ago

If y is directly proportional to x and y is 12 when x = 10, what is the function rule that describes the variation?

Mathematics

2 answers:

azamat3 years ago

8 0

Answer: $y=1.2x$

Step-by-step explanation:

Given

Y is directly proportional to x

and y=12 for x=10

$\Rightarrow y\propto x\\\Rightarrow y=kx\\\text{Substitute x and y}$

$\Rightarrow 12=k(10)\\\Rightarrow k=1.2$

$\therefore \text{The function becomes}\\\Rightarrow y=1.2x$

Anonymous2 years ago

0 0

what is your email I will email it to you

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On a level field, a telephone pole 24 feet tall casts a shadow 6 feet long, and at the same time of day, another nearby telephon

nalin [4]

E. 72
6 feet long cast shadow = 24 feet pole
18 feet long cast shadow = 72 feet pole
18/6=3
24x3=72

5 0

3 years ago

A machine that fills 12-quart size packages of ice cream runs 8 hours a day, 7 days a week. The machine fills 900 ice cream pack

otez555 [7]

Answer:

Number of ice cream packaged each week = 604,800 Ice cream

Step-by-step explanation:

Given:

One package = 12 ice cream

Per day packing = 8 hour

Number of days work in a week = 7 days

Per hour packing = 900 package

Find:

Number of ice cream packaged each week :

Computation:

⇒ Number of ice cream packaged each week = Number of days work in a week × Per day packing hour × Per hour packing × Per package ice cream

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8 0

3 years ago

What is the slope of this line?

kumpel [21]

Answer:

1/2 maybe

Step-by-step explanation:

4 0

3 years ago

What are the answers to the questions below?

Tcecarenko [31]

Answer:

You have to follow PEMDAS or parenthesis, exponents, multiplication, division, addition, and subtraction. It's an order to solve equations. I listed the steps and the answers for you below :) I have throughly checked them so they should be correct! yw :D

Step-by-step explanation:

1. 5x + 4x - 6x = 24

9x - 6x = 24

3x = 24

24/3 = 8

x = 8

2. 8y + 5 - 4y + 1 = 46

8y - 4y = 4y

5 + 1 = 6

4y + 6 = 46

4y = 46 - 6

4y = 40

40/4 = 10

y = 10

3. 33 = 5 ( x + 8 ) + 3

33 = 5x + 40 + 3 (because we distributed)

33 = 5x + 43

5x + 43 = 33 (just rewriting it to make it easier)

5x = 33 - 43

5x = -10

-10/5 = -2

so x = - 2

4. 2m + 3 ( m - 8 ) = 1

2m + 3m - 24 = 1

we got 3m - 24 because we distributed the 3

5m - 24 = 1

5m = 25

25/5 = 5

m = 5

5. p + p - 2p + 4p = - 48

2p - 2p + 4p = - 48

4p = - 48

- 48 / 4 = - 12

p = - 12

6. 2 ( y + 5 ) + 3y = 25

2y + 10 + 3y = 25

5y + 10 = 25

5y = 25 - 10

5y = 15

15/5 = 3

y = 3

7. 1/4 h + 3/4 h + 1/2 h + 2 = 5

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3/2 h + 2 = 5

3/2 h = 5 - 2

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h = 2

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60 = 4k + 12 + 2k - 6

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9. - 2 ( d + 1.4 ) - 1.8 = 20.6

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4 0

3 years ago

Bill changes £450 from his bank and gets $729.

Kobotan [32]

Answer:

Bill got more ($1.62) for each pound exchanged than did Gwyll ($1.56).

Step-by-step explanation:

Let's calculate the unit rate in each case, that is, the number of dollars obtained through exchanging one (1) pound for dollars:

Bill:

$729

--------- = $1.62 per pound

£450

Gwyll:

$780

---------- = $1.56 per pound

£500

Bill got more ($1.62) for each pound exchanged than did Gwyll ($1.56).

8 0

3 years ago