The area of a trapezoid is the height times the average of the two bases, mathematically:
A=h(b1+b2)/2, in this case h=6in, b1=9in, and b2=7in so
A=6(9+7)/2
A=6*16/2
A=48in^2
In the survey, 9 said they prefer the coffee shop next door out of 45 people total surveyed. This forms the fraction 9/45 = 1/5 which converts to 0.2 when you use a calculator or long division. In other words, 1/5 = 0.2
You'll then multiply the result of 0.2 by the total number of employees (250) to get...
0.2*250 = 50
So based on the results of the survey, we expect about 50 employees to say they prefer the coffee shop next door.
Answer: Choice B) 50
1/6 of an hour is equivalent to 10/60 or 10 minutes.
To find out how much 3/4 of an hour is, change the denominator of both fraction so that they match up. We can make this easier by multiplying 4 by 15 to get 60 (hence an hour) and since we multiplied 4 by 15, we also need to multiply 3 by 15 which gets us 45.
We end up with 10/60 and 45/60 or 10 minutes and 45 minutes.
Half of 10 is 5 so we know we'll have a decimal of .5 in our answer.
4 times 10 equals 40 and 40 plus 5 equals 45, so 4.5.
Jeremy's weekend work would follow the equation of the standard line. The equation of the standard line is y=mx+b. b= 0, The slope of the line is equal to m, where m according to the given problem is equal to 35. Every hour of Jeremy weekend would pay $35.
Jeremy's equation
y= 35x
m=35
Y < (x - 4)(x + 2)
so the critical points are -2 and 4
(-2,-1) will be in the solution
( 0,-2) will not
(4,0) will not.
the answer is ((-2,-1)
