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3 years ago

Find the value of n in each of the following proportions.

Mathematics

1 answer:

Setler79 [48]3 years ago

7 0

Answer:

Step-by-step explanation:

18/n = 21/28 You can cancel, but calculators make that unnecessary. Cross multiply

21n = 18 * 28

21n = 504 Divide by 21

n = 504 / 21

n = 24

==================

12/16 = n / 64 Cross Multiply

16n = 12 * 64

16n = 768 Divide by 16

n = 768/16

n = 48

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Can anyone help me with this dont answer if you dont no what it is and no deleting answers

Mkey [24]

The answer to this question is the second choice, jessica bought 1/4 more than derek

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2 years ago

T he equation for a parabola with directrix y = –p and focus (0, p) is:

zhuklara [117]

The equation for a parabola with directrix y = –p and focus (0, p)

The distance between vertex and directrix is P

Also the distance between vertex and focus is also P

Focus (0,p) so focus lies on y axis

Directrix line is paralled to focus point

So Directex crosses the x axis .

Hence line of symmetry lies is the y-axis.

The graph is attached below.

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3 years ago

What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC

marta [7]

Answer:

C. $B(x,y) = \left(3,-\frac{16}{3} \right)$

Step-by-step explanation:

Let $A(x,y) = (6,-7)$ , $B(x,y) = (x,y)$ and $C(x,y) = (-3,-2)$ . From statement we know that $AB = \frac{1}{2}\cdot BC$ , which is equivalent to the following linear algebraic formula:

$B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)]$ (1)

$B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)$

$\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)$

$B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y)$ (2)

Then, the coordinates of point B on AC are:

$B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)$

$B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)$

$B(x,y) = \left(3,-\frac{16}{3} \right)$

Which means that correct answer is C.

5 0

3 years ago

nick loaned 550 to his best friend. the friend agreed to pay it back the amount borrowed plus 12% interest. what was the total a

lina2011 [118]

$616 because 550 times .12(12% as decminal) is 66. $66 plus $550 is $616

3 0

3 years ago

-7x - 2y = 19<br> 4x + y = -12<br> Solve the system

nalin [4]

-7x - 2y = 19

4x + y = -12

Set y equal to each other (opposite signs are fine and you could also set x equal instead of y)

-7x - 2y = 19

8x + 2y = -76

Add equations together

x = -52

Plug x value into an equation

4(-52) + y = -12

Solve for y

-208 + y = -12

y = 196

Hope this helps! ;)

4 0

3 years ago