The length of a rectangle is 12 inches more than its width. What is the width of the rectangle if the perimeter is 42 inches?
x best represents .
x + 12 best represents
Answer:
Son's Age: 11
Mary's Age: 33
Step-by-step explanation:
Let set Mary and her son as variables,
M = Mary's age
S = Mary's son age
<u>Breakdown:</u>
"Mary is three times as old as her son"
M = 3S
"In <em>12 years</em>, Mary's age will be one less than <u>twice her son's</u> age"
M <em>+ 12</em> = <u>2</u>(S <em>+ 12</em>) - 1
we add 12 to both sides as it will be in 12 years for both
We know that M = 3S, so we plug this in
3S + 12 = 2(S + 12) - 1
Now solve for <em>S (son's age),</em>
3S + 12 - 12 = 2(S + 12) - 1 - 12
3S = 2(S + 12) - 13
3S = 2S + 24 - 13
3S - 2S = 2S - 2S + 24 - 13
S = 24 - 13
S = 11
To find <u>Mary age</u>, plug in her son age ,
M = 3S
M = 3(11)
M = 33
Learn more about Substitution here: brainly.com/question/22340165
Answer:
- short-term: $90,000
- long-term: $70,000
Step-by-step explanation:
Let x represent the amount borrowed on the short term. Then 160000-x is the amount of the long-term note. The total interest is ...
0.11x +0.08(160000-x) = 15500
0.03x + 12800 = 15500 . . . . simplify
0.03x = 2700 . . . . . . . . . subtract 12800
x = 2700/.03 = 90,000 . . . . short-term note
160,000 -90,000 = 70,000 . . . . long-term note
The short-term note was for $90,000; the long-term note was for $70,000.
1 times 4 =4 then 5i
Equation:
5i + 4
Answer:
30
Step-by-step explanation:
24 - (-6)
Apply rule : -(-a) = a
Negative (-) times a negative (-) is positive (+).
24 + 6
= 30
