Answer:
$4
Step-by-step explanation:
I tried to make it as simple as possible.
Answer:
10x - 12y = 192
Step-by-step explanation:
Given the equation :
-5/8x + 3/4y = 12 - - - (1)
8x + 12y = 11 ___(2)
The equivalent form of the first equation which can eliminate the y term :
Multiply (1) by - 16 :
-5/8x * - 16 + 3/4y * - 16 = 12 * - 16
10x - 12y = 192
Hence, Adding the obtained equation and equation(2) will eliminate.
Answer:
The outlier is $105.
Step-by-step explanation:
An outlier is a value amongst other values that is smaller or bigger than those other values, for example, the $105 in the above equation.
Answer:
The number of half-page advertisements is 4.
The number of Full-page advertisements is 11.
Step-by-step explanation:
According to the Question,
- Given, An advertising company charges $60 per half-page advertisement and $100 per full-page advertisement. Michael has a budget of $1340 to purchase 15 advertisements.
Let, 'x' be the number of half-page advertisements and 'y' be the number of full-page advertisements.
- Thus, 60x + 100y is the money charged, and given that he has a budget of $ 1340.
60x + 100y = 1340
- And, the number of advertisements is 15. So, the other equation is
x + y = 15
Now, We have Two Equations,
60x + 100y = 1340 and x + y = 15
- the solution of the system is Put x=(15-y) in Equation 60x + 100y = 1340
60 (15-y) + 100y = 1340
900 - 60y + 100y = 1340
40y = 1340 - 900
40y = 440
y = 440/40
y = 11 So, For x = 15 - y ⇒ 15-11 ⇒ x=4 .
- Thus, the number of half-page advertisements is 4 and The number of Full-page advertisements is 11 .
Answer: There are 16 million different phone numbers possible.
First, let's find the number of possible phone numbers without the area code. There are 7 numbers in a phone number. There are 10 digits for each position. However, the first one can't be 1 or 0, so there are only 8 options.
Multiply the possibilities to find the total number.
8 x 10 x 10 x 10 x 10 x 10 x 10 = 8,000,000
Since, there are 2 different area codes, just multiply 8 million by 2 to get 16 million.
