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:
-8 = d
Step-by-step explanation:
-10 = -2+d
Add 2 to each side
-10 +2 = -2+2 +d
-8 = d
Answer:
Equation: 3x + 2 = 50
# of friends: 16
Step-by-step explanation:
3 chocolates each or 3x because what "each" means is not known yet-
3x
<em>Note: Always use x for an unknown value</em>
2 remaining chocolates-
3x + 2
50 total chocolates-
3x + 2 = 50
Remove two to keep the x alone-
3x = 48
Remove the 3 or the "Coefficient" by dividing-
48/3 = 16
x = 16
Equation: 3x + 2 = 50
# of friends: 16
9514 1404 393
Answer:
=
Step-by-step explanation:
A half rest is 2 beats, a quarter rest is 1 beat, so the rests on the left total 3 beats.
The half note on the right is normally 2 beats, but the dot adds half-again that amount, so 1 more beat. The dotted half note on the right is 3 beats.
Both represent 3 beats, so their beat counts are "equal."
Answer:
A and C are correct.
Step-by-step explanation:
A: 15 + 26 is greater than 41 so it will form a triangle
B: 15 + 36 is not equal to 41 so it will not form a triangle
C: 15 squared + 36 squared = 1,521
41 squared = 1,681
Since a squared + b squared not-equals c squared, it will not be a right
triangle.
D: 15 squared + 36 squared = 297
41 squared = 82
A is correct because any 2 sides of a triangle must be greater than the third.
B is incorrect because it cannot equal the third side, but must be greater than.
C is correct because in a right triangle, the sum of the square of the legs must be equal to the square of the hypoteneuse.
D just does not make sense.