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.
The volume of the space not filled by the sphere is the difference between the volume of a cube with edge length 6 inches and the volume of a sphere with radius 3 inches.
<h3><u>Cube</u></h3>
The volume of a cube of edge length s is
... V = s³
When the edge length is 6 in, the volume is
... V = (6 in)³ = 216 in³
<h3><u>Sphere</u></h3>
The volume of a sphere with radius r is
... V = (4/3)π·r³
When the radius is 3 in, the volume is
... V = (4/3)π·(3 in)³ = 36π in³
<h3><u>Space</u></h3>
Then the volume of the space between the cube and the sphere is
... Vcube - Vsphere = 216 in³ - 36π in³ ≈ 102.9 in³ . . . . corresponding to choice C
Step-by-step explanation:
Since
varies directly as
we can write the relation as

where k is the constant of proportionality.
a) To solve for the k, we substitute the given values:


b) The equation relation x and y can be written as

c) When y = 9,

Answer:
3.72 x 100000000= 372000000
1.2 x 100000 = 120000
Step-by-step explanation:
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