x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.
Step-by-step explanation:
Given,
Number of banana breads and nut breads to bake = at most 30
At most 30 means the amount cannot exceed 30.
Selling price of each banana bread = $2.50
Selling price of each nut bread = $2.75
Amount to make = $44 at least
At least 44 means that the amount cannot be less than 44.
Let,
x represent the number of loaves of banana bread to be sold
y represent the number of loaves of nut bread to be sold
x+y≤30
2.50x+2.75y≥44
x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.
Keywords: linear inequalities, addition
Learn more about linear inequalities at:
#LearnwithBrainly
Answer:
y = 96°
Step-by-step explanation:
The measure of the inscribed angle y is half the measure of its intercepted arc.
The whole circle = 360°
the intercepted arc = 360° - 168° = 192°
Thus
y = × 192° = 96°
First, we expand the equation:
Then, we combine certain terms in order to simplify them using trigonometry identities.
Note these identities:
Pythagoran relation:
Sum and Difference Formula/Identities:
Thus, if we apply these identities, the simplified equation would be:
Simplying further, the answer would be
Answer:
not necessarily
Step-by-step explanation:
Taking the square root of both sides, you have ...
±a = ±b
Those four cases resolve to two unique cases:
a = ±b
The given equation will be true if a = b or if a = -b. If a and b are constrained to have the same sign, then a=b is the only solution.