Use the equation A=(1/2)bh
Replace b with 7
Replace h with 12
A=(1/2)(7)(12)
A=(1/2)(84)
A=42
Answer:
months
Step-by-step explanation:
Given that company
charges
upfront and
per month and company B does not charge the upfront fee but charges
per month.
Let after
months both the company charges the same amount.
Total charges by the company
and total charges by the company
.
Now, from the given condition both the charges are equal, so

Hence, after
months both the company charges the same amount.
Answer:

Step-by-step explanation:
First, we need to look at the # of chips. There are a total of 25, 6 of which are blue.
This means that the chance of getting the first blue chip would be 
As there is no replacement, the total number of chips is 24 and there are only 5 blue left. This gives us the chance of 
Now all we need to do is mulitply these two and then simplify

Answer:
30
Step-by-step explanation:
Add all of them
Answer:
y = –7x – 11
6x – 4y = 10
Step-by-step explanation:
From the question given above, we obtained:
x = –1
y = –4
y = ?x – 11 ....... (1)
6x – ?y = 10b......... (2)
Let the two unknown be a and b. Thus the above equation becomes:
y = ax – 11 ......... (3)
6x – by = 10 .......(4)
Next, we shall determine the value of 'a' and 'b'. This can be obtained as follow:
For a:
y = ax – 11
x = –1
y = –4
–4 = a(–1) – 11
–4 = –a – 11
Collect like terms
–4 + 11 = –a
7 = –a
Multiply through by –1
a = –7
For b:
6x – by = 10
x = –1
y = –4
6(–1) – b(–4) = 10
–6 + 4b = 10
Collect like terms
4b = 10 + 6
4b = 16
Divide both side by 4
b = 16 / 4
b = 4
Finally, we shall substitute the value of a and be into equation 3 and 4 respectively.
y = ax – 11
a = –7
y = –7x – 11
6x – by = 10
b = 4
6x – 4y = 10
Therefore, the complete equation are:
y = –7x – 11
6x – 4y = 10