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Paladinen [302]
3 years ago
5

If x varies directly with y and x = 6 when y = 15, find x when y= 20.

Mathematics
1 answer:
Kaylis [27]3 years ago
6 0

Answer:

8

Step-by-step explanation:

Varies directly think y=kx

Varies indirectly think y=k/x

We have first option so y=kx

x=6 and y=15 means we have 15=k(6)

So k=15/6 or reducing gives=5/2

So we just found our constant of proportionality, this number never changes.  It stays the same no matter what x or y they give you...

So the equation is y=5/2 *x

Now what is x if y=20

Plug in 20=5/2 *x

So x=20*2/5=40/5=8

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11. Tyler loves buying new sneakers. Normally they cost $80.00. Today
Minchanka [31]

Answer:

60

Step-by-step explanation:

4 0
3 years ago
What is the slope of the line shown?
Darya [45]

Answer:

slope = 1/2

Step-by-step explanation:

Pick two convenient integer coordinates

 I'll use  (0,-1) and (2,0)

slope =   (y1-y2)/(x1-x2) =   (-1-0) / ( 0-2) = 1/2

8 0
2 years ago
What is 25% of 24?<br> What is 15% of 60?<br> 9 is what percent of 72
JulsSmile [24]

Answer:

6

9

6.48

Step-by-step explanation:

this is the easiest way to solve for percentage:

\frac{part}{whole} =\frac{part}{whole}  Where all the percents (except 100) would go in part

and the whole number would go in whole

\frac{25}{100} =\frac{?}{24}  Then multiply 24 × 25 ÷ 100 = 6

\frac{15}{100} =\frac{?}{60}  Multiply 60 by 25 then divided by 100 = 9

Then for the last one 9 is what percent of 72

all we have to do is multiply 9 and then convert 72 into a decimal (0.72)

Then 9 × 0.72 = 6.48

7 0
3 years ago
Write the point-slope form of an equation of the line through the points (-7, 7) and (4, 1).
seraphim [82]

Answer:

Choice B. \displaystyle y - 7 = -\frac{6}{11} \, (x + 7).

Step-by-step explanation:

Start by finding the slope of this line. Let (x_1,\, y_1) and (x_2,\, y_2) represent two distinct points on a line on a Cartesian Plane. (That is, x_1 \ne x_2.) The slope of this line would be:

\displaystyle \frac{y_2 - y_1}{x_2 - x_1}.

For the line in this question:

  • x_1 = -7,
  • y_1 = 7;
  • x_2 = 4,
  • y_2 = 1.

Indeed, x_1 \ne x_2. The slope of this line would thus be \displaystyle \frac{1 - 7}{4 - (-7)}, which is equal to \displaystyle -\frac{6}{11}.

On a Cartesian Plane, the point-slope form of a line that has a slope of m and includes the point (x_0,\, y_0) can be written as:

y - y_0 = m\, (x - x_0).

(Note the minus signs in this form.)

For the line in this question, m = \displaystyle -\frac{6}{11}. There are two equivalent expressions for its point-slope form:

  • Using the first point, y - 7 = \displaystyle -\frac{6}{11}\, (x - (-7)). This equation is equivalent to y - 7 = \displaystyle -\frac{6}{11}\, (x + 7).
  • Using the second point, y - 1 = \displaystyle -\frac{6}{11}\, (x - 4).
7 0
3 years ago
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