The perimeter of a rectangular picture frame is 30 inches. The length of the frame is three less than twice the width. What are the dimensions of the frame?
Answers
The dimensions are length equal to 9 inches and width equal to 6 inches.
It is given that length of rectangularframe is three less than twice the width and its perimeter is 30 inches.
We have to find out the dimensions of the frame.
What is the perimeter of a rectangle ?
The perimeter of a rectangle is 2 ( b + l ) , where b is width and l is the length of the rectangle.
As per the question ;
Length of rectangularframe is three less than twice the width.
Let's assume width be x.
So ;
Length will be ;
= 2x - 3
We know that ;
Perimeter of a rectangle is given by ;
P = 2 ( b + l )
⇒ 30 = 2 ( x + 2x - 3 )
⇒ 30 = 2 × ( 3x - 3 )
⇒ 30 = 6x - 6
⇒ 6x = 36
⇒ x = 6 inches
So ;
width will be 6 inches and length will be ;
l = 2x - 3
l = 2 × 6 - 3
l = 12 - 3
length = 9 inches
Thus , the dimensions are length equal to 9 inches and width equal to 6 inches.
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Length-2x-3
Width-x
P=2[l+w]
30=2[2x-3+x]
30=2[3x-3]
30=6x-6
Add 6 to both sides
36=6x
Divide both sides by 6
x=6
Length:9
Width:6
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Answer:
17
Step-by-step explanation:
because 12 people can sit at each table, so youd divide 198 by 12 to see how many tables youd need, and you get 16.5. you cant have 16.5 tables, so always round up when it comes to objects, humans, things, etc. so you get 17
"Three for the price of two"
"Buy one and get 25% off the second"
"Buy two and get 50% off the second one"
Questions:
"Which of these four different offers gives the biggest price reduction? Explain."
"Which of these four different offers gives the smallest price reduction? Explain."
P.S. I need at least one of the questions answered!!!
Answers
Two for the price of one = $.50 for two (or $.25 each)
Three for the price of two = $1.00 for 3 or approximately $.33 each
Buy one get 25% off the 2nd means $.50 + (.125 which is 25% of $.50) for a total of $.625 or about $.63 ($.315 or about $.32 each)
Buy Two get 50% off the 2nd means $.50 for the first and $.25 for the 2nd for a total of $.75 or $.375 - about $.38 each
We can see that two for the price of one is the best value since you save $.25 off of $.50 (that's half) and that buy two get 50% off the 2nd is the smallest price reduction since the $.50 item only goes down to $.38 or twelve cents off.
This would work no matter what the cost of the item. The savings would still be in the same proportions.
Answers
Answer:
1) The value of x is:
2) The degree for angle 1 is: 59°
3) The degree for Angle 2 is: 121°
Step-by-step explanation:
First we must find x, to do that we must find out what we are given:
m<1 = (2x + 23)°
m<2 = (7x - 5)°
Now we must see if there is any info that can help us find the angles:
Angle 1 and 2 are supplementary.
The word 'supplementary' is very important as it can help us evalute how to set up our problem.
Supplementary means the sum of 2 angles that create a 180°
So our measures will = 180°
(2x + 23) + (7x - 5) = 180°
Now we must try and find the value of x:
1) Remove the parenthesis, and combine like terms:
2x + 7x + 23 - 5 = 180°
9x + 18° = 180°
- 18° = -18°
---------------------
9x = 162°
2) Divide both sides by 2 in order to get 'x' value by itself:
Your value of x is 18.
Now you must substitue the value of x into you measures, to get your angles:
(2x + 23)°
2(18) + 23
36 + 23
= 59°
(7x - 5)°
7(18) - 5
126 - 5
= 121°
Is this statement true? Let's find out!
121° + 59° = ?
= 180°
It is true.
Answers
The total cost = cost + sales tax
cost + sales tax = x or total cost
1. cost = $245
2. sales tax = 0.065(cost)
245 + 0.065(cost) = x
Simplify
245 + 15.925 = x
Round to the nearest hundredth
245 + 15.93 = x
Collect Like Terms
260.93 = x
The total cost of the speakers, including tax, is $260.93.
Answers
when you multiply it by itself, the answer is 'Q'.