Answer:
80%
Step-by-step explanation:
Focus on the important parts of the problem:
The present salary is 25% more than the previous salary.
previous = % of present ?
<u>Use a mock/fake situation.</u> Let' say the previous salary is $100.
100 = % of present
Present salary is $100 increased by 25%.
$100 X 1.25 = $125
100 = % of 125
Solve this in decimal form (convert it to a percentage later).
Let x be the percentage in decimal form.
100 = 125x
100/125 = x Isolate "x" by dividing by sides by 125
x = 0.80
Convert 0.80 to percentage by multiplying by 100.
0.80 X 100 = 80%
When comparing two things using percentage, 100% is the same. Less than 100% is less and more than 100% is more.
Since his previous salary was less than his present salary, this answer makes sense.
Therefore his previous salary was 80% of his present salary.
It is not an equilateral triangle. To prove this, you must solve for x. I found x by setting 2x+5.2 = 3x+1.2 to get x=4. Then I plugged 4 into equation to see if they were equal. 2(4)+5.2= 13.2 and 3(4)+1.3=13.2 but 2(4)+6.2=14.2. This allows us to conclude that the triangle is not equilateral because all of the sides are NOT congruent. Hope that helped:))
Answer:
-21x + 3y + 10
Step-by-step explanation:
10 - 4x + 3y - 17x
= -4x - 17x + 3y + 10
= -21x + 3y + 10
Answer: the height of the water after the sphere is placed in
it is 33.33 cm
Step-by-step explanation:
The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as
Volume = πr^2h
Where
π is a constant whose value is 3.14
r represents the radius of the cylinder.
h represents the height of the cylinder.
From the information given,
r = 10 cm
h = height of water in the cylinder = 20 cm
Volume of water in the cylinder before the sphere was placed in it would be
V = 3.14 × 10^2 × 20 = 6280 cm^3
The formula for determining the volume of the sphere is expressed as
Volume = 4/3 πr^3
V = 4/3 × 3.14 × 10^3 = 4186.67cm^3
Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2
To determine the new height of the water,
10466.67 = 3.14 × 10^2× h
h = 10466.67/314 = 33.33 cm
Answer:
Area = 32feet²
Step-by-step explanation:
Perimeter of a rectangule = 2(length+width)
Then:
g = 2w Eq. 1
2(g+w) = 24 Eq. 2
g = length
w = width
From Eq. 2:
(2*g + 2*w) = 24
2g + 2w = 24
2w = 24 - 2g Eq. 3
Matching Eq. 1 and Eq. 3
g = 24 - 2g
g + 2g = 24
3g = 24
g = 24/3
g = 8 feet
From Eq. 1
g = 2w
8 = 2w
8/2 = w
w = 4 feet
Check:
From Eq. 2
2(g+w) = 24
2(8+4) = 24
2*12 = 24
Answer:
Area of a rexctangle = length * width
Then:
Area = 8feet * 4feet
Area = 32feet²
