Answer:
The answer to your question is the letter a.
Step-by-step explanation:
Data
x² + 12x + c
If this trinomial is a perfect square trinomial, the third term must be half the second term divided by the square root of the first term, and to the second power.
-Get half the second term
12x/2 = 6x
-Divide by the square root of the first term
6x/x = 6
-Express the result to the second power
6² = 36
-Write the perfect square trinomial
(x² + 12x + 36) = (x + 6)²
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:
Step-by-step explanation:
Let the weight of box Y be w kg.
Box X weighs 33 kg more than Box Y, then the weight of box X is
kg.
Box Z weighs 12 kg more than Box Y, then the weight of box Z is
kg.
The total weight of all boxes is
kg
Jane measured the total weight of all the boxes and it was found to be 557 kg, therefore,
or
