Suppose y varies directly with x, and y= 7 when x = 3. What is the value of x when y = 28? If 7 = k(3) then 28 = k(x) Find x

1 answer:

7 0

Let y and x be the numbers that varies directly (that means they keep the same proportion)

Then we have 7y = 3x, OR y/x =7/3 (this ratio should be kept for any value of x and y:
y/x = 7/3, if y = 28, then 28/x = 7/3 or x = (3)(28)/7 = 12

SO X = 12

You might be interested in

The length of a rectangular is 5/2 unites greater then twice its width if it’s width w which expression gives the perimeter of t

strojnjashka [21]

If width is w the length can be represented as 5/2+2w.

Formula for perimeter is 2l + 2w

So it would be 2w + 2(5/2 + 2w)

OR 2w + 5 + 4w

OR 6w + 5

See if this helps ;)

5 0

3 years ago

Solve <br><br> 9x-14-2x=5(2x-6)

deff fn [24]

$9x-14-2x=5(2x-6)\qquad\text{use distributive property}\\\\(9x-2x)-14=(5)(2x)+(5)(-6)\\\\7x-14=10x-30\qquad\text{add 14 to both sides}\\\\7x=10x-16\qquad\text{subtract 10x from both sides}\\\\-3x=-16\qquad\text{divide both sides by (-3)}\\\\\boxed{x=\dfrac{16}{3}}$

8 0

3 years ago

What is 80%of 1,60<br>will mark brainliest

cluponka [151]

Answer:

Step-by-step explanation:

Converte 80% into a decimal (devide it by 100) = 0.8

Then multiply 0.8 by 1.60 = 1.28 (final result)

4 0

3 years ago

Circle A has a radius of 2.0 cm. Find the radius of circle A dialated by 9.6

tia_tia [17]

2.0² * π = 12.56637...
12.56637... * 9.6 = 120.6371579...
120.6371579.. / π = 38.4
√38.4 = 6.196773354... --> the radius of circle A dialated by 9.6 = 6.2 cm

7 0

3 years ago

What is the slope of the line that passes through the points (-3, 5) and (1, 7)?

just olya [345]

$\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{7}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{7-5}{1-(-3)}\implies \cfrac{7-5}{1+3}\implies \cfrac{2}{4}\implies \cfrac{1}{2}$

4 0

3 years ago

Read 2 more answers