The value of y varies directly with x, where LaTeX: y=50y = 50 when LaTeX: x=40x = 40. Find the value of x when y is 10.

Mathematics

1 answer:

Xelga [282]3 years ago

5 0

Answer:

x= 8

Step-by-step explanation:

The equation of direct variation is

y = kx

When y = 50 when x = 40

50 = k* 40

Divide each side by 40

50/40 = k

5/4 = k

The equation is

y = 5/4x

Let y = 10

10 = 5/4x

Multiply each side by 4/5

4/5 * 10 = 5/4 x * 4/5

8 = x

You might be interested in

Shaun drew ΔLMN, in which m∠LMN = 90°. He then drew ΔPQR, which was a dilation of ΔLMN by a scale factor of 3 from the center of

Tatiana [17]

Answer:

Step-by-step explanation:

we have ΔLMN as our parent triangle, where M=90°. Another triangle ΔPQR is formed which was dilation of ΔLMN with a factor of one and half that is 1.5

We are also given that the center of dilation is M itself . Hence the point Q of the ΔPQR overlap with the M.

Now let us see the image attached with this. The Line LM and MN are extended further till Point P and R respectively.

If LN = x and MN = y

PM = 1.5x and MR = 1.5y

as the scale of dilation is 1.5

Now let us see the the ratio of the sides of the two triangles.

Hence the ratio of the sides is same. There for the triangles are similar to each other.

4 0

3 years ago

Compound Probability: You choose a tile at random from a bag containing 2 tiles with X, 6 tiles with Y, and 4 tiles with Z. You

Nastasia [14]

First, we must count the amount of tiles.

Amount = 2 + 6 + 4

A = 12 tiles

Then let's to the Example 18:

P(X then Y) = P(x) × P(y)

We have 2 lites x

P( x then y) = 2 / 12 × P(y)

We have 6 lites y

And as one lites X was choosed:

P(y) = 4 / 11

P(x then y) = (2/12) × ( 4 /11)

= 6.06%
____________________

Example 19:

P(both y) = P(y)' × P(y)

We have 4 lites y

P(y)' = 4/12

Now us have 3 lites y

P(y) = 3 / 11

P(both y) = (4/12)×(3/11)

= 9.09%
_________________

Example 20:

P(y then x) = P(y) × P(x)

We have 4 lites y

P(y) = 4 /12

Now us have 11 lites on the bag

P(x) = 2 / 11

P(y then x) = (4/12)×(2/11)

= 6.06%
___________________

Example 21:

P(z then x) = P(z) × P(x)

We have 6 lites z

P(z) = 6 / 12

Now us have 11 on the bag

P(x) = 2/11

P(z then x ) = (6/12)×(2/11)

= 9.09%
___________________

Example 22:

P(both z) = P(z)'×P(z)

P(z)' = 6/12

Now us have 5 lites Z

P(z) = 5/11

P(both z) = (6/12)×(5/11)

= 22.72%
________________

Last example:

P(y then z) = P(y)×P(z)

We have 4 lites y

P(y) = 4/12

Now us have 11 lites on the bag

P(z) = 6/11

P(y then z) = (4/12)×(6/11)

= 18,18%

This would be your answers.

Hope this helps

4 0

3 years ago

DIRECTIONS: Use this information to answer Parts A and B.

sleet_krkn [62]

Answer:

$17,160

Step-by-step explanation:

286,000·0.06=17,160

4 0

3 years ago

Solve the equation of 5(3−4)=8+15

Zigmanuir [339]