Answer:
D. StartFraction negative 1 + StartRoot 3 EndRoot Over 2 EndFraction
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator. Then the denominator is the difference of squares, which will be rational. This simplification is called "rationalizing the denominator."

One <u>possible inequality</u> is:
299m+261j ≥ 1000.
Explanation:
m is the number of cups of milk and j is the number of cups of juice.
Each cup of milk contains 299 mg of calcium. This gives us 299m mg of calcium for m cups of milk drank.
Each cup of juice contains 261 mg of calcium. This gives us 261j mg of calcium for j cups of juice drank.
Together, this would be a total of 299m+261j mg of calcium.
We want to meet or exceed 1000 mg of calcium. This means we could have more than 1000 or equal to 1000; this gives us the inequality symbol "greater than or equal to":
299m+261j ≥ 1000
Answer:
→[ Certain shade=red paint+ white paint]
→3 cups of red paint=7 cups of white paint
Dividing both side by 7,we get
→ 1 cup of white paint=3/7 cups of white paint
So, 3/7 of a cup should be added to 1 cup of white paint to make certain kind of shape.
Cups of white paint: Cups of red paint= 1. : 
k=
is constant of proportionality.
The number of times the spinner landed on a space numbered greater than 4 = 167
Step-by-step explanation:
Step 1 :
Given,
Number of equal area spaces in the spinner = 6
Number of times the spinner was spun = 500
We need to find the number of times the spinner landed on a space numbered greater than 4
Step 2 :
Total number of outcome = 6
Favorable outcomes are = Numbers greater than 4 = 5,6
Total number of favorable outcome = 2
Therefore Probability that the spinner will land on a number that is greater than 4 is
= 
The number of times that the spinner landed on a space numbered greater than 4 = 500 ×
= 166.67 = 167 (rounded off to the nearest integer)
Step 3 :
Answer :
The number of times the spinner landed on a space numbered greater than 4 = 167