y = 12x represents the gallons of paint used in x hours.
Step-by-step explanation:
CJ uses 3 gallons of paint in 15 minutes,
15 minutes = 3 gallons
1 minutes = 
1 hour = 60 minutes
Gallons of paint used in 1 hour;
1 hour = 
CJ uses 12 gallons of paint in 1 hour.
For x hours = 12*x = 12x
Gallons of paints used = y
y = 12x represents the gallons of paint used in x hours.
Keywords: linear equation, multiplication
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Answer:
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the circle minus the area of the two isosceles triangles
so
Find the area of the circle
The area of the circle is equal to
where r is the radius of the circle
In this problem we have
substitute
Find the area of the two triangles
The area of the two isosceles triangles is equal to
![A=2[\frac{1}{2}bh]=bh](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7Dbh%5D%3Dbh)
we have
substitute
Find the area of the shaded region
Answer:
The percentage of employees with 8 or more years at the company that reported that email is their preferred method of communication is 30.48%. I suppose there was a small typing mistake in option B.
Step-by-step explanation:
The proportion is the number of desired outcomes divided by the number of total outcomes.
The percentage is the proportion multiplied by 100.
In this question:
210 employees with 8 of more year.
Of those, 64 have the email as their preferred method of communication.
64/210 = 0.3048
0.3048*100 = 30.48%
The percentage of employees with 8 or more years at the company that reported that email is their preferred method of communication is 30.48%. I suppose there was a small typing mistake in option B.
I believe the correct answers are:
<span>UV = 14 ft and m∠TUV = 45°</span>
<span>ST = 20 ft, UV = 14 ft, and m∠UST = 98°
Or, in other words, Options A and D.
</span>
The easiest way, I think, is to convert the mixed number into an improper fraction, then multiply by 3.
3 1/2 = 7/2
7/2 · 3 = 21/2
now just change the improper fraction back to a mixed number by dividing and putting the remainder into fraction form
21/2 = 10 1/2
You could also multiply the whole number by 3 and the fraction by 3, ending up with 9 3/2, but then have to convert the improper fraction into a mixed number
3/2 = 1 1/2
then add the numbers together
9 + 1 1/2 = 10 1/2
either way works, whatever is easiest for you.
