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 .
Shobo's age = x years
His mother's age = 6 times of Shobo's age
= 6x years
Five years from now
________________
Shobo's age = ( x + 5 ) years
According to the problem given,
x + 5 = one by third of his mother's
present age
x + 5 = 6x / 3
x + 5 = 2x
5 = 2x - x
5 = x
Therefore ,
Shobo's present age = x = 5 years
His mother's age = 6x
= 6 × 5
= 30 years
357 is your answer because all you do is solve the problem =
Answer:
the perimeter of 2cm 4cm 4cm and 8cm is 18...the area is 256
Step-by-step explanation:
Answer:
the answer is option E.
Step-by-step explanation:
it is in the form f/g (x).
we know f and g from the equation;
we can rewrite it as, (√(9-x^2)/(3x-1))
if you notice you cannot put any number less than -3 or greater than 3 in the numeror because if you do you get a negative root which is false. for instance if you put 4 or -4 in the numerator you get 9 - (4 or -4 square ) which is 9- 16 which is a negative number and you cannot take root of a negative number.
on the numerator if you put 1/3 as the value for x you will get zero in the denominator. and any number divided by zero is undefined so that cannot be.
this means that option E is the right one that satisfies the condition. it means the domain is [-3, 1/3) U (1/3, 3] .
