The variables x and y are directly proportional, and y = 2when x = 3. What is the value of y when x = 9 ?

Answers

Answer 1

Answer: Direct proportionality:
$y=kx$
k - the constant of proportionality

$y=2 \hbox{ when } x=3 \n \Downarrow \ny=kx \n 2=3k \nk=(2)/(3) \n \ny=? \hbox{ when } x=9 \n\Downarrow \ny=kx \n y=(2)/(3) * 9 \ny=2 * 3\ny=6 \n \n\boxed{y=6 \hbox{ when } x=9}$

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Can someone solve this please

Answers

I GOT YOU.
First things first,
When multiplying fractions, it's super super super simple. Just multiply the numerator and denominator across, then simplify if needed!
________________________________
To solve your problem,
1. multiply the numerator across.
3 x 4 x 7 = 84
2. multiply the denominator across.
5 x 2 x 3 = 30
3. now you have the fraction $(84)/(30)$ (84/30 if you're on mobile)
4. simplify
84/30 has a common factor of 6. So it simplifies to 14/5.

Your answer is 14/5

1) A clerk have y dollars, all in $10 bills. What expression repression the number of $10 bills the clerk has?2)A concert ticket costs p dollars for an adult and q dollars for a child.Find an expression that represnts the total cost for 4 adult and 6 children.

3) Two apartment have numbers that are consecutive integers. The sum of the numbers is 59.What are the two apartment numbers ?

Answers

1) y:10;
2) 4p+6q;
3) x +( x+ 1) = 59 => 2x = 58 => x = 29 => 29 and 30;

1. 10y

2. 4p+6q

3. x+x+1=59

2x=58

x=29

29+1=30

the 2 numbers are 29 and 30

Describe how the shape moves from:Frame 1 to Frame 2

Frame 2 to Frame 3

Frame 3 to Frame 4

Answers

Answer:

1. Frame 1 to Frame 2 - Vertical downward translation

2. Frame 2 to Frame 3 - $90^(0)$ counterclockwise rotation

3. Frame 3 to Frame 4 - Vertical upward translation

Step-by-step explanation:

The movement of the shapes from one frame to the other can be described by solid transformations. These are procedures required to change the orientation or size of a given shape. They include: rotation, translation, dilation and reflection.

1. When the shape in frame 1 is translated vertically downwards, it would produce the shape in frame 2.

2. Rotating the shape in frame 2 by $90^(0)$ counterclockwise would move it to the shape in frame 3.

3. Vertical upward dilation would move the shape in frame 3 to that in frame 4.

Kay builds a 1/6 scale model of a train. The actual train is 42 1/2 feet long. How long is the model

Answers

7 1/12 feet long..
42 1/2 * 1/6 = 7 1/12

How to find the probability in a 2-card hand out of a deck of 52 cards that the cards will have different suits.

Answers

so there are 4 suits in a deck of cards, each suit containing 13 cards.
there is a 3/4 chance that 2 cards will have different suits, as there are more different possibilities than there are same.

Andy completes the square for the equation x2 + 6x - 8 = 0. Which of the following equations reveals the vertex of the parabola? will fan and medal

Answers

If the equation $x^2+6x-8$ has undergo completing the square, the answer would be:
$x^2+6x-8$
$x^2+6x+9-8-9$
**In this example, since 6x is the middle term, what comes to my mind is the polynomial (x+3) because 2ab results into 6x. [from the special products lesson $(a+b)^2=a^2+2ab+b^2$ ]
$(x+3)^2 -17 = 0$
So if the equation is equal to y, then this equation's
$y+17=(x+3)^2$
The vertex would be on the point (-3, -17)

Answer:

(h,k) in the cuadratic formula y= a(x-h)^2 + k

Step-by-step explanation:

If you complete square in a cuadratic formula the vertex of the parabola will be more visible. In the case of f(x)= $x^(2)+6x-8$ we complete square adding and substracting 9. So,

$x^(2)+6x+9-9-8 = (x+3)^(2)-17$

So we have the cuadratic form of a parabola $y= a(x-h)^(2) + k$ where a=1, h= -3 and k= -17.

So, the vertex is (h,k)=(-3,-17).

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