The inequalities which represent relationships between the number of doubles (x) and amount of gospels (y) are x + y ≤ 11,7x + 4y ≥ 56 and y ≥ 3.
<h3>What is inequality?</h3>
A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given,
No more than 11
x + y ≤ 11
Total earning ≥ $56
7x + 4y ≥ 56
At least 3 gospels
y ≥ 3
Hence "The inequalities which represent relationships between the number of doubles (x) and amount of gospels (y) are x + y ≤ 11,7x + 4y ≥ 56 and y ≥ 3".
For more about inequality,
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If the price of 6 pretzels is $5.10, first find the price of 1. After you've found the price for 1, find the price of 8 by multiplying it 8. Now, since two people are sharing the cost, each will pay half of the total
1. 6 pretzels = $5.10 => 1 pretzel = $5.10/6 = $0.85
2. 1 pretzel = $0.85 => 8 pretzels = $0.85 * 8 = $6.80
3. price paid by both Simon and Sofia: $6.80/2 => $3.40
Therefore, the total cost shared by Sofia and Simon for 8 pretzels is $3.40.
Hope that helps!
Answer:
Step-by-step explanation:
Given:
Angle ABC = 2x
Angle CDE = 8x
Required:
Value of x
SOLUTION:
Line AB is parallel to line CD, therefore, angle ABC and angle BCD are alternate interior angles. Alternate interior angles are equal. Thus:
Angle ABC = Angle BCD = 2x
Since, line BC is parallel to line DE, angle BCD and angle CDE are consecutive interior angles.
Consecutive interior angles are supplementary, therefore:
Angle BCD + Angle CDE = 180°
Use this equation to solve for x
Divide both sides by 10
Sorry, this looks better: