Answer: 35%
Step-by-step explanation:
Let the original price be "4x".
60% gain on 1/2 of them will be:
(1.60 × 2x) = 3.2x - 2x = 1.2x
20% gain on (1/4) of them will be:
(1.2 × x) = 1.2x - x= 0.2x
Total gain 1.2x + 0.2x = 1.4x
Total gain percent= Gain/Original price =1.4x/4x = 0.35 = 35%
Answer:
44580 inches
Step-by-step explanation:
Given, D (diameter)= 22 inches
Therefore, r (radius)= 22/2= 11 inches
Volume=
×π×r³
=
×3.14×22×22×22
=44579.626 inches
=44580 inches
Answer:

Step-by-step explanation:
We can add a line to create a triangle and a rectangle. The triangle will have side lengths 10 and 6. Furthermore, it will be a right triangle, meaning we can apply the Pythagorean Theorem to find x, the hypotenuse.

hope this helped! :)
Answer:
There are a few solutions because there are some fractions and decimals between 8 and 10
Step-by-step explanation:
Let the unknown number be 'x'
If the number is greater than 8 and the same number is less than 10, this can be expressed as;
x>8 and x < 10
Note that if x>8, then 8<x
The resulting inequalities are now;
8<x and x<10
Combining both inequalities we have: 8<x<10
Since the inequality didn't tell us that the variable 'x' is equal to 8 and 10, this means that our solution falls between 8 and 10 and the value of integer that falls within this range is 9. Other values that falls within this range are decimals and fractions.
Therefore it can be concluded that there are a few solutions because there are some fractions and decimals between 8 and 10
If two similar triangles have sides in the ratio a : b, then their areas are in the ratio a² : b².
We have the ratio:

Area of the smaler triangle = x
Area of the larger triangle = 567 cm²
Therefore we have the equation:

<h3>Answer: C. 63 cm²</h3>