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
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Answer:
Answer d)
, 
, and 
Step-by-step explanation:
Notice that there are basically two right angle triangles to examine: a smaller one in size on the right and a larger one on the left, and both share side "b".
So we proceed to find the value of "b" by noticing that it the side "opposite side to angle 60 degrees" in the triangle of the right (the one with hypotenuse = 10). So we can use the sine function to find its value:
where we use the fact that the sine of 60 degrees can be written as: 
We can also find the value of "d" in that same small triangle, using the cosine function of 60 degrees:
In order to find the value of side "a", we use the right angle triangle on the left, noticing that "a" s the hypotenuse of that triangle, and our (now known) side "b" is the opposite to the 30 degree angle. We use here the definition of sine of an angle as the quotient between the opposite side and the hypotenuse:
where we used the value of the sine function of 30 degrees as one half: 
Finally, we can find the value of the fourth unknown: "c", by using the cos of 30 degrees and the now known value of the hypotenuse in that left triangle:
Therefore, our answer agrees with the values shown in option d)
Answer:
y < x - 4
Step-by-step explanation:
First, move the x over to the other side by subtracting x from both sides. This will get you -y > -x + 4.
Divide both sides by -1 to get rid of the -1 in front of y. Since this is an inequality, dividing or multiplying by a negative number means that you have to flip the sign. We are dividing by a negative number, so flip > to <. The signs on both sides change to get y < x - 4.
It is unlikely that the handwritten word will be correctly interpreted. , Option B is the answer
The missing statements are
It is impossible that the handwritten word will be correctly interpreted.
It is unlikely that the handwritten word will be correctly interpreted.
It is likely that the handwritten word will be correctly interpreted.
It is certain that the handwritten word will be correctly interpreted.
<h3>What is Probability ?</h3>
Probability can be defined as the likelihood of an event to occur , It has a range of 0 to 1 , where 0 means uncertain and 1 interprets certainty.
In the given question
A researcher finds that the probability that a word recognition app correctly interprets a handwritten word is 1/6 .
As it can be interpreted from the probability that out of 6 chances the app identified in only 1 chance so
It is unlikely that the handwritten word will be correctly interpreted.
Option B is the answer
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Answer:
194332.125 is the amount of interest
Step-by-step explanation:
