Answer:
The length of the shorter base of the little trapezoid trail is 1 mi.
Step-by-step explanation:
Let the shorter base of the large trapezoid is S and the larger base of the large trapezoid is L.
Similarly, assume that the shorter base of the small trapezoid is s and the larger base of the small trapezoid is l.
Since, the trapezoids are similar, so
Now, given that S = 2 mi, L = 8 mi and l = 4 mi and we have to find s.
So, 
mi. (Answer)
Answer:
Kate's possible hourly rate of pay: $34.75
Hours of overtime: 100
Step-by-step explanation:
In order to find Kate's hourly wage, we can set up an equation based on the number of hours she works per week and the estimated number of overtime hours to equal her total pay for the year. If Kate works 36 hours/week and there are 52 weeks in a year, her total hours for one year are: 36 x 52 = 1872. Setting up an equation based on her total earnings of $72,000:
1872x + 100(2x) = 72000, where 'x' is the hourly rate and '2x' is her overtime rate which is double time.
Combine like terms: 1872x + 200x = 72000 or 2072x = 72000
Divide both sides by 2072: 2072x/2072 = 72000/2072
Solve for x: x = $34.75
Kate's hourly rate is estimated at $34.75. We can check to see if this is correct by putting this value back into our original equation:
1872(34.75) + 100(2)(34.75) = 65052 + 6950 = 72002
The answer of $72,002 is very close to $72,000 and the best estimate of Kate's hourly wage and overtime hours.
Answer:
Q=5(2)+2(6)
Q=10+12
Q=22
22 is your answer
Step-by-step explanation:
Answer:
c.natural
Step-by-step explanation:
The number e , sometimes called the natural number, or Euler's number, is an important mathematical constant approximately equal to 2.71828.
She brings 3 donuts because a dozen is 12 and 1/4 of 12 is 3.
