Determine the input that would give an output value of 2/3

Answer:

The mass of the water removed is 66.67 kg

Step-by-step explanation:

Given data

The solids blended with sugar make up 10%.

Final product achieved = 15% product.

Final product contains = 15% sugar solids.

The initial product weighs = 200 kg

Solution

Here, we find the needed sugar amount as follows:

The amount of sugar required = 200 ×

Thus, the needed sugar = 20 kg

We recognize that total solids = product solids + sugar solids...............1

Also, the initial product equals the final product.

So,

0.20 × 200kg= 0.30 × total mass of the final product

The mass of the final product = 133.33 kg

However,

the final product contains 15% product solids and 15% sugar solids, which means that the amount of product solids equals the sugar solids.

Thus, the mass of water removed = 200 kg - 133.33 kg.

The mass of the water removed is 66.67 kg.

Response:

15

Step-by-step explanation:

To determine the number of classes, subtract 10 from 146 which leaves you with 136. Dividing 136 by 9 results in approximately 15.1 repeating, but since classes cannot be a fraction, the answer rounds down to 15.

Answer:

The diagram displaying triangle ABC and the relevant statement along with the answer options is attached.

According to this, the answer is: The length of DC is 28.

Explanation:

From the diagram and the data that segment AB equals segment AC, you comprehend that angles B and C of the isosceles triangle ABC are congruent.

Triangles BED and CFD possess two sets of congruent angles (angle B is congruent to angle D, and angles BED and DFC are congruent), indicating that triangles BED and CFD are similar.

This similarity leads to the proportional relationship:

• DE / DF = DB / DC

Given that the ratio of DE to DF is 5:7, we have:

• 5/7 = DB / DC

Also, it is stated that segment BC is 48.

From the figure:

• BC = DB + DC = 48.

This results in two equations:

• 5/7 = DB / DC

• DB + DC = 48.

Now, we define DC = x, which implies DB = 48 - x, leading to the equation:

• 5 / 7 = (48 - x) / x

Solve this:

• 5x = 7 (48 - x)... [multiplication property: multiply by x and 7]

• 5x = 336 - 7x... [distributive property]

• 12x = 336... [addition property: add 7x to both sides]

• x = 336 / 12... [division property: divide by 12]

• x = 28... [simplification]

Therefore, the length of segment x = DC = 28.

This statement is incorrect.
In f(3x), the input 'x' is multiplied by 3 prior to being substituted into the function.
Conversely, with 3f(x), the result (output) is multiplied by 3 after you have calculated the output from the input value.