Answer:
Width = 30
Step-by-step explanation:
Area = 18x * 10y = 180xy
Length = 6xy
Width = ?
Since the shape of the office complex is a rectangle,
Area of a rectangle = length × width
180xy = 6xy × width
Width = 180xy / 6xy
Width = 30
Answer:
<u>The original three-digit number is 417</u>
Step-by-step explanation:
Let's find out the solution to this problem, this way:
x = the two digits that are not 7
Original number = 10x+7
The value of the shifted number = 700 + x
Difference between the shifted number and the original number = 324
Therefore, we have:
324 = (700 + x) - (10x + 7)
324 = 700 + x - 10x - 7
9x = 693 - 324 (Like terms)
9x = 369
x = 369/9
x = 41
<u>The original three-digit number is 417</u>
Answer: y=6
Step-by-step explanation:
The given number is y.
According to the question,
Step 1 . subtracts three from the number (y-3), then doubles it
i.e. Final number = 2(y-3)
Step 2 . subtracts three again i.e. (2(y-3)-3), and doubles the number again
i.e. Final result = 2(2(y-3)-3)
If the result is his original number y, then
2(2(y-3)-3) =y
⇒ 2(2y-6-3)=y [ using distributive property]
⇒ 2(2y-9)=y
⇒ 2(2y)-2(9)=y [ using distributive property]
⇒ 4y -18=y
⇒ 4y -y= 18
⇒ 3y= 18
⇒ y= 6 [Divide both sides by 3]
Hence, y=6
Answer:
x =1 for the first problem
and for second question
Step-by-step explanation:
Let's solve your inequality step-by-step.
|2x+5|>0.5
Solve Absolute Value.
|2x+5|>0.5
We know either2x+5>0.5or2x+5<−0.5
2x+5>0.5(Possibility 1)
2x+5−5>0.5−5(Subtract 5 from both sides)
2x>−4.5
2x2>−4.52(Divide both sides by 2)
x>−2.25
2x+5<−0.5(Possibility 2)
2x+5−5<−0.5−5(Subtract 5 from both sides)
2x<−5.5
2x2<−5.52(Divide both sides by 2)
x<−2.75
Answer:
x>−2.25 or x<−2.75
