#17 the answer is 54 look at the box at the bottom 54 = p 17 on the blank put p
-4(-3/4x)≥12)
3x ≤ -48
x ≤ -16 the answer to the question
Answer:
Number of messages sent by Chau = 15
Number of messages sent by Kareem = 4 * 15 = 60
Number of messages sent by Jessica = 15 - 6 = 9
Step-by-step explanation:
Let number of messages sent by Chau = c
Number of messages sent by Kareem = 4 times as Chau
= 4 * c = 4c
Number of messages sent by Jessica = 6 fewer messages than Chau
= c - 6
Total messages = 84
<u>c + 4c + c</u> - 6 = 84 {Combine like terms}
<u>6c</u> - 6 = 84 {Add 6 to both sides}
6c = 84 + 6
6c = 90 {Divide both sides by 6}
c = 90/6
c = 15
Number of messages sent by Chau = 15
Number of messages sent by Kareem = 4 * 15 = 60
Number of messages sent by Jessica = 15 - 6 = 9
Answer:
the length of the rectangle is, 21 in.
Step-by-step explanation:
Area of the rectangle(A) is given by:
.....[1]
where,
l is the length of the rectangle
w is the width of the rectangle.
As per the statement:
The width of a rectangle is 9 in. shorter than its length.
⇒
It is also given that:
The area of the rectangle is 252 in².
⇒A = 252 in².
Substitute in [1] we have;
⇒
⇒
Factorize this equation:
Split the middle term;
⇒
⇒
⇒
By zero product property we have;
and 
⇒
and 
Since, length cannot be in negative
⇒
Therefore, the length of the rectangle is, 21 inches.
