Answer:
2 Cups of peanut butter chip
Step-by-step explanation:
If she used 4 cups in her first batch with the 2:2 ratio then she would need to split in half because of the new 3:1 ratio.
Answer:
a^3 + b^2
Step-by-step explanation:
Let's simplify step-by-step.
a^3+b^2
There are no like terms.
Answer:
=a^3+b^2
Answer:
3 oil changes
Step-by-step explanation:
1. Find an equation that represents this word problem: 3000x + 5000 = y
Where y = the # of miles total. y = 250 miles/week * 52 weeks/year = 13000 miles.
2. Solve for x: 3000x + 5000 = 13000 3000x=8000
3. x = 8/3 integer round down x = 2 oil changes, but plus the one after 5000 miles is a total of 3 oil changes that year
Since you can factor 5 out of both 45c and 10d, the expression will be 5(9c+2d)
5(9c+2d)
=)=)=)
Answer:
83.7 %
Step-by-step explanation:
To get the area of the shaded region, we will following these steps.
Step one: Get the area of the sector of the circle.
The area of the sector of the circle can be obtained using the formula:

Theta will be 60 degrees because triangle OAD is an equilateral triangle
Hence, 
Step Two: Get the area of the equilateral triangle
The area of the equilateral triangle can be got using the formula

The height of the triangle can be got by drawing an imaginary line bisecting the triangle into two parts and applying the Pythagoras' theorem to any of the resulting right-angled triangles formed.
This will be 
Thus 
Step Three: Subtract the area of the triangle from the area of the sector
Area of the shaded portion = 
Step Four: Divide the area of the shaded portion by the area of the entire shape and multiply the result by 100:
Expressing the ratio of the two areas as a percentage, we have
%