Given that a certain shade of pink is created by adding 3 cups of red paint with 7 cups of white paint.
That means ratio of red paint and white paint must 3:7 .
Let x be the amount of red paint cups for 1 cup of white paint.
Then ratio of red paint to white paint is 
Hence 
cups of red paint is needed for 1 cup of white paint.
The number in "?" is 
or 0.04286 cups.
9514 1404 393
Answer:
k = 10
Step-by-step explanation:
The useful shortcut* here is that the external angle is equal to the sum of the remote internal angles.
115° = (4k+5)° +(6k+10)°
100° = 10k° . . . . . . collect terms, subtract 15°
k = 10 . . . . . . . . . . divide by 10°
_____
* I call it a shortcut because you can get there from the relations ...
- the sum of angles in a triangle is 180°
- a linear pair has a sum of 180°
If we call the internal angles X, Y, and Z, then we have ...
X + Y + Z = 180° . . . triangle sum relation
Y + 115° = 180° . . . . . linear pair relation
Equating the expressions for 180° gives ...
X + Y + Z = Y + 115°
X + Z = 115° . . . . . . . . . subtract Y from both sides
Answer:
3. C or 18.
4. Perimeter: 10 Area: 6.25
5. 3 and 16
Step-by-step explanation:
3. Because the area of a triangle is 1/2 the base times the height if you double the area you can divide this total area by one side to find the length of the other side. In this problem that is 72*2 which is 144. Then dividing 144/8 you get 18, which is answer choice C.
4. Since a square has 4 sides that are all the same, you only need to know one side length to know them all. Multiplying one side length (2.5) by itself will get you the are of the square as a whole. Doing this (2.5 multiplied by 2.5 gets the area of 6.25.
For the perimeter calculation use the formula for a perimeter of a square which is one side (2.5) multiplied by 4 is 10, which is the perimeter.
5. This is because 3*16 is 48 or the area of the rectangle.
Complete Question:
Let x and y be positive integers and x be greater than y.
11x/11y = ?
Answer:
11x/11y = x/y
Step-by-step explanation:
Given
x > y
Required
11x/11y
From the question, we understand that x is greater than y (i.e. x > y)
Also, we'll assume that y ≠ 0, in other not to result in an undefined result.
So,
11x/11y
Divide the numerator and denominator by 11
(11x ÷ 11)/(11y ÷ 11)
The result of the division is:
(x)/(y)
x/y
Hence,
11x/11y = x/y for x > y and y ≠ 0
