48 different <span>lunches can be ordered from the restaurant's lunch special menu</span>
Answer:
1) 
2) 
3) 
4) 
5) 
Step-by-step explanation:
According to the information given in the exercise, the value of "x" is:

Then:
1) You must substitute
into the expresion
:

Now, you must evaluate:

2) You have to substitute the given value of "x" into the second expression:

Finally, evaluating, you get the following result:

3) According to the Zero exponent Rule, any non-zero number with an exponent of zero is equal to 1.
Then, substituting
into the expression
and then evaluating, you get:

4) By definition:

Then, substituting
into
and evaluating, you get:

5) Since:

When you substitute the given value of "x" into the last expression and then you evaluate, you get:

Answer:
d. negative correlation
Step-by-step explanation:
Two variables are positive correlated when one goes up or down the other goes in the same direction and they are negative correlated when one goes up or down the other variable goes in the other direction.
In this case, the higher the temperature rises, the less snow. Therefore we have a negative correlation
Answer:
x = 6
Step-by-step explanation:
The midsegment of a trapezoid is the line parallel to the parallel sides of the trapezoid, which connects the midpoints of the non-parallel sides.
The length of the midsegment of the trapezoid is half the sum of the length of the parallel sides.
i.e,
Length of the midsegment = (1/2) *(Length of base1 + Length of base2)
6x - 24 = (1/2) * (5 + 2x + 7)
12x - 48 = 2x + 12
10x = 60
x=6
∴ x = 6
Answer:
Bus B travel faster
Step-by-step explanation:
The graph of the question in the attached figure
we know that
the linear equation in slope intercept form is equal to

where
m is the slope
b is the y-intercept
x ---> is the time in hours
y ---> is the distance in miles
In this problem we have
Bus A

The slope of the linear equation represent the speed of the bus
so
The speed of bus A is

Bus B
Find the slope
take two points from the graph
(0,0) and (3,200)
The formula to calculate the slope between two points is equal to

substitute


Compare the slope Bus A with the slope Bus B

therefore
Bus B travel faster