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Anastasy [175]
3 years ago
12

If x and y vary directly, and x=10 when y=3, what will be the value of x when y=9?

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
3 0

As x and y vary directly then <span>x∝y</span> i.e. <span>x=ky</span>, where k is a constant.

When <span>x=24</span>, <span>y=8</span> i.e. <span>24=k×8</span> and therefore

<span>k=<span>248</span>=3</span>

and relation between x and y is hence <span>x=3y</span>

and when <span>y=9</span>, <span>x=3×9=27</span>.



I hope this is what you're looking for.

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Answer:

2x - 19

Step-by-step explanation:

Perimeter = sum of sides

First let's simplify each side

We can simplify each side by using distributive property. Distributive property is where you multiply the number on the outside of the parenthesis by the numbers on the inside of the parenthesis.

2(x + 5)

Distribute by multiplying x and 5 by 2

2 * x = 2x and 2 * 5 = 10

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1/2(4x + 8)

Distribute by multiplying 4x and 8 by 1/2

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2x + 4

-3(2x + 11)

Distribute by multiplying 2x and 11 by -3

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Finally add all the simplified expressions ( remember that they represent the side lengths of the triangle )

2x + 10 + 2x + 4 - 6x - 33

Combine like terms

2x + 2x - 6x = -2x

10 + 4 - 33 = -19

Perimeter: -2x - 19

7 0
2 years ago
Read 2 more answers
What is the vertex and axis of symmetry for y=4x^2-12x+9?
VLD [36.1K]

Answer:

axis of symmetry   x=3/2

vertex  (3/2, 0)

Step-by-step explanation:

to find the axis of symmetry we use h = -b/2a

where ax^2 + bx+c


h = -(-12)/2(4)

h= 12/8

h = 3/2

the axis of symmetry is x = 3/2

the x coordinate of the vertex is h x=3/2

to find k, the y coordinate of the vertex, substitute x=3/2 into the equation

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the vertex (3/2, 0)

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3 years ago
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Answer:

$2.1825 or simplified is $2.18.

Step-by-step explanation:

<em>0.7275 per candy bars.</em>

<em>0.7275  x 4 = $2.91.</em>

So according to that logic,

<em>0.7275  x 3 = $2.1825.</em>

<em />

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