Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to the line 4x – 3y =

Response:

The problem is summarized in the following explanation segment.

Detailed explanation:

The estimate of the slots or positions lost due to simultaneous transmission attempts can be calculated as follows:

Evaluating the likelihood of transmitting gives us "p".

When considering two or more attempts, we arrive at

Fraction of slots wasted,

=

Substituting the values yields

=

=

Thus, the answer appears to be correct.

Answer:

(1) The necessary proportion of spirit to varnish stands at 1:3.

(2) A total of 80 ml of mineral spirit is required.

(3) The ratio of the heights to the widths of the tapestries is 3:2.

Step-by-step explanation:

(1) To achieve a mixture containing 25% mineral spirit, the blend consists of 25% spirit and 75% varnish.

Therefore,

Consequently, the proportion of spirit to varnish is 1:3.

(2) Using 240ml of varnish indicates this is 75% of the entire solution, which means the ratio of varnish to the total solution is 3:4.

Let the total solution quantity be .

Thus, .

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This means the total solution amounts to 320 ml.

Now, calculating Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Therefore, when using 240 ml of varnish, you will require 80 ml of mineral spirit.

(3) The dimensions of Robison's tapestries are uniform at 1.5m in length and 1m in width. Initially, to obtain whole numbers, we multiply these dimensions by 10.

Thus, the dimensions become 15m long and 10m wide.

Now, the proportion of Height to Width is 15:10

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Thus, the proportion of the heights of the tapestries to their widths is 3:2.