Answer:
First option
Step-by-step explanation:
The result of first expression:
7(6+z) multiply 7 with inside the parenthesis
7(6+z) = 42 + 7z
the result of second expression:
since we need to do multiplying first,
7*6 = 42 and 7*z = 7z
then we add them
42 + 7z this is the same result we found for the first equation
The new parking lot must hold twice as many cars as the previous parking lot. The previous parking lot could hold 56 cars. So this means the new parking lot must hold 2 x 56 = 112 cars
Let y represent the number of cars in each row, and x be the number of total rows in the parking lot. Since the number of cars in each row must be 6 less than the number of rows, we can write the equation as:
y = x - 6 (1)
The product of cars in each row and the number of rows will give the total number of cars. So we can write the equation as:
xy = 112 (2)
Using the above two equations, the civil engineer can find the number of rows he should include in the new parking lot.
Using the value of y from equation 1 to 2, we get:
x(x - 6) = 112 (3)
This equation is only in terms of x, i.e. the number of rows and can be directly solved to find the number of rows that must in new parking lot.
I believe it is zero, because there is no number less than 1.
Answer:
a. $8625
Step-by-step explanation:
So there are 115 members and they each raise $75.
That means one member would raise $75, the second member would raise another $75, the third would raise another $75 etc....
So you just have to multiply 115 and 75 together and that gives you $8625
The numbers of choices in each category are multiplied together. We assume the order of paint choices matters: using color 1 in area A and color 2 in area B is not the same as using color 2 in area A and color 1 in area B.
P(7,2)*4*3*2 = 42*4*3*2 = 1008 ways
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P(n, k) = n!/(n-k)!
P(7, 2) = 7*6 = 42
