Answer:
18 questions
Step-by-step explanation:
22 questions=55%
??? questions=45%
now what about this:
2 questions=5%
I just simplified the first equation
now 5%*???=45%
5*9=45
then we do the same thing to the other side
2*9 questions=45%
18 questions are left on the survey
The mirror is in a shape of a pentagon
Answer:
72 square units
Step-by-step explanation:
The figure shown has a uniform horizontal cross section, so is equivalent to a rectangle with length 12 and height 6. Its area is given by the rectangle formula:
A = LW
A = (12)(6) = 72 . . . . square units
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<em>Additional comment</em>
Essentially, the semicircle removed from the left side is tacked onto the right side. The rectangle area is unchanged by that.
Answer:
5x?
Step-by-step explanation:
Because Zachary earns $5 per hour, and he makes a $20 bonus.
His equation is shown in red on the graph, y = 5x + 20.
Maisy earns $7.50 per hour, and she makes a $5 bonus.
Her equation is shown in blue on the graph, y = 7.50x +
5.
After how many hours do they earn the same amount of
money? Where do you see this on the graph? Share
your answer with the class when you are finished, then
read other people's responses.
Answer:
Step-by-step explanation:
Since there is no single number we can add to one number in the sequence to get to the next one, this is not arithmetic. That means it's geometric, if it's a sequence at all. To get from 2 to 6 we multiply by 3. To get from 6 to 18 we multiply by 3. To get from 18 to 54 we multiply by 3. Therefore, this is in fact geometric and the common ratio is 3. The standard form of a geometric explicit formula is
where n is the position of a number in the sequence, a1 is the first number in the sequence, and r is the common ratio. We have then
a1 = 2 and r = 3. Therefore, the explicit formula is
and you can use this to find the value of any number in the sequence. Very handy; much more so than the recursive formula, which requires that all the numbers in a sequence be found in order in order to get to a desired value.
