Answer:
3. The equivalent fractions are presented as follows;
4. The equivalent fractions are presented as follows;
5. The reason why it works is because 
Step-by-step explanation:
3. Based on the shaded region of the given figures, the two fractions are equivalent
Mathematically, we can show the equivalency of the two fractions as follows;
Therefore;
4. From the shaded region of the given figure, the fractions are equivalent
Mathematically, we have;
Therefore;
5. The amount of salt required by the recipe = 1/4 teaspoon of salt
The measure of the spoon Jonas has = 1/8 teaspoon
When Jonas adds two 1/8 teaspoons, he gets;
Therefore;
Two 1/8 measuring teaspoons are equivalent to one 1/4 teaspoons and therefore Jonas is able to get the 1/4 teaspoons of salt the recipe asks for b combining two 1/8 measuring teaspoons of salt he has because 1/8 + 1/8 = 1/4.
Answer:
Step-by-step explanation:
Required
The positive root of 
Equate to 0
So, we have our function to be:
Differentiate the above function:
Using Newton's method of approximation, we have:
Plot the graph of to get 
--- see attachment for graph
From the attached graph, the first value of x is at 2.2; so:
So, we have:
The process will be repeated until the digit in the 6th decimal place remains unchanged
Hence:
Subtract both sides from 6x, leaving you with the equation:
-2y=-6x+12
Now, you divide all of the sides by -2, therefore leabing you with the equation:
y=3x-6
<h3>Given</h3>
P = 3r + 2s
<h3>Find</h3>
the corresponding equation for s
<h3>Solution</h3>
First of all, look at how this is evaluated in terms of what happens to a value for s.
- s is multiplied by 2
- 3r is added to that product
To solve for s, you undo these operations in reverse order. The "undo" for addition is adding the opposite. The "undo" for multiplication is division (or multiplication by the reciprocal).
... P = 3r + 2s . . . . . . starting equation
... P - 3r = 2s . . . . . . -3r is added to both sides to undo addition of 3r
... (P -3r)/2 = s . . . . . both sides are divided by 2 to undo the multiplication
Note that the division is of everything on both sides of the equation. That is why we need to add parentheses around the expression that was on the left—so the whole thing gets divided by 2.
Your solution is ...
... s = (P - 3r)/2
22-6=16. 16÷4=4. Each ticket costs $4.
