Answer:
Both statements are sufficient to answer the question
Step-by-step explanation:
Given:
- The paint mixture has following proportions:
Total volume of paint = T
Blue: x*T / 100
Green: y*T/100
Red: z*T/100
Find:
Statement 1: x = y
Statement: z = 60
Which of the above statement is sufficient to calculate the amount of green paint used
Solution:
Statement 1:
- The amount of blue paint used is:
1 gallon = x*T / 100
- x = y,
1 gallon = y*T / 100
Hence,
Amount of green paint used is 1 gallon
- The statement is sufficient
Statement 2:
- The amount of red paint used is:
3 gallon = z*T / 100
T = 300 / z = 300 / 60 = 5 gallons
T = R + B + G
G = T - R - B
G = 5 - 3 - 1
G = 1 gallons
Hence,
Amount of green paint used is 1 gallon
- The statement is sufficient
Answer:
20 units
Step-by-step explanation:
The formula for the area:
A = bh × 1/2
B = 8 units
H = 5 units
8 × 5 = 40
40 × 1/2 = 20
-mnp(3m - 5n + 7p) =
-3m^2np + 5mn^2p - 7mnp^2 <==
Answer:
y = 4x-9
Step-by-step explanation:
16x-4y-36 = 0
-4y = -16x+36(subtract 16x from both sides and add 36)\
y = 4x-9(divide both sides by -4)
Heya !
Using a theoram about triangles ,
Given a triangle ∆ABC, the sum of the lengths of any two sides of the triangle is greater than the length of the third side ,
Also , the length of third side always greater than absolute difference of the other two sides ,
Let the third side be x ,
So , x < 9 + 8 and x > 9 - 8
x < 17 and x > 1
Hence , x ∈ [ 2 , 17 ] inch.
Above case is true for any triangle , be it scalene , Isosceles , Right-angled ...
As , for Isosceles , the third side can be 8 or 9 inches ,
For scalene , all values in the above range satusfies ,
For right angled triangle , we have 2 cases ,
Case 1 : Third side is the hypotenuse
Then , x = √(9²+8²) = √145 = 12.0415 inch.
Case 2 : Third side is not the hypotenuse
Then , x = √(9²-8²) = √17 = 4.1231 inch.
Hope it helps you ! :)
