All categories

3 years ago

If y varies directly with x, and y = 2 when x = −4, what is the value of y when x = 20

Mathematics

1 answer:

Klio2033 [76]3 years ago

3 0

Answer:

y = - 10

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 2 when x = - 4, that is

2 = - 4k ( divide both sides by - 4 )

= k, that is

k = -

y = - x ← equation of variation

When x = 20, then

y = - × 20 = - 10

You might be interested in

Find the area of this triangle

creativ13 [48]

Answer:

The area should be 170

Step-by-step explanation:

L× W =70×10=170

5 0

3 years ago

MIKE NEEDS AT LEAST $100 TO BUY A NEW SUIT FOR THE DANCE.

Tanya [424]

Answer:

3x+10 = 100

100 - 10 = 3x

6 0

3 years ago

A bag contains 3 red and 6 white tokens. Tokens are randomly selected and removed one at a time until the bag is empty. Find the

disa [49]

Answer:

Therefore, the probability is P=1/84.

Step-by-step explanation:

We have a bag contains 3 red and 6 white tokens. Tokens are randomly selected and removed one at a time until the bag is empty.

We conclude that in a bag have 9 tokens.

We calculate the probability that the red tokens are drawn consecutively.

We calculate the number of possible combinations:

$C_3^9=\frac{9!}{3!(9-3)!}=84\\\\$

Number of favorable combinations is 1.

Therefore, the probability is P=1/84.

4 0

3 years ago

Swimming pool depth: Which is deeper? 1.4m 4ft

vazorg [7]

There are approximately 3.3 feet in a meter.

To find the number of feet, multiply 1.4 and 3.3

1.4 × 3.3 = 4.62

4.62 is greater than 4.
The swimming pool that is 1.4 meters deep is deeper.

Hope this helps!

7 0

3 years ago

Sally needs 2/3 of a pound of potatoes. This is 1/3 of a pound more than 4/3 of the potatoes Sally has in her pantry

amid [387]

Lets assume, Sally has X pound of potatoes in her pantry.

So, 4/3 of the potatoes Sally has in her pantry = $\frac{4}{3}X$

Now, Sally needs 2/3 pound of potatoes and this 2/3 pound of potatoes is 1/3 pound more than that $\frac{4}{3}X$

So the representing equation will be:

$\frac{2}{3} = \frac{1}{3}+ \frac{4}{3}X$

$\frac{2}{3} - \frac{1}{3} = \frac{4}{3} X$ (subtracting $\frac{1}{3}$ from both sides)

$\frac{1}{3}= \frac{4}{3}X$

$1= 4X$ (multiplying both sides by 3)

$X =\frac{1}{4}$

So, Sally has $\frac{1}{4}$ pound of potatoes in her pantry.

4 0

3 years ago