Answer:
425 mm
Step-by-step explanation:
The ratio of compound A to compound B is 5 is to 6.
So, we can say that the total ratio is of 11 parts (5+6=11).
<em><u>If the chemist wants a total of 935 mm of the drug, then each of the 11 parts are worth:</u></em>

<em>From the ratio, we know that Compound A is 5 parts. So:</em>

425 mm of Compound A is needed.
Answer:
Below.
Step-by-step explanation:
-5/8 * 1/3 = -5/24
-5/12 * 1/2 = -5/24
-5/6 * 1/4 = -5/24.
Let's begin noting that a triangle is isosceles if and only if two of its angles are congruent. We can thus find the angle <ABP, recalling that the sum of the interior angles of a triangle is equal to 180°.

Finally, let point K be the intersection between segments BC and PQ, and let's note that the triangle PQB is a right isosceles triangle, since all the angles in a square are equal to 90°, and the two triangles APB and BQC are congruent.
Therefore, the angle BKQ is equal to 180-50-45=85°.
Of course angle BKP=180-85=95°.
Hope this helps :)
Let x = cost of one cheese pizza.
Let y = cost of one pepperoni pizza.
Set up a system of equations.
6x + 7y = 153.50
2x + 2y = 47.00.
Multiply the second equation by -3
6x + 7y = 153.50
-6x - 6y = -141.00.
Add the equations together
y = $12.00.
Plug 12 into one of our original equations.
2x + 2(12) = 47.
Simplify the left side.
2x + 24 = 47.
Subtract 24 from each side.
2x = 23.
Divide each side by 2
x = $11.50
In conclusion, one pepperoni pizza costs $12.00
Answer:
(a) The data set is a function, since for each input value {3,4,6,11} there is a single output value {5,7,11,21}
(B) A function is a mathematical relationship that associates one or more inputs with a single output value. So that the data set is not a function, there should be - for one or more values of the input - more than one output.
for example, if for the input value {3} there were two outputs {5, -5} then, the data set would not be a function.
The frelation
is not a function because:
When x = 1, y = +1 and y = -1.
(c) The set of data provided can be represented by the equation of a line of the form y = mx + b
The slope is:


m = 2

b = 5 - 2*3
b = -1
Then, the function is:
y = 2x-1
You can substitute any of the points shown in the equation and check that equality is satisfied, for example:
(11 , 21)
y = 2 (11) -1
y = 22-1
y = 21. The equation is satisfied. The same goes for the rest of the values.