The expression 3 1/2x+18 represents the perimeter of the rectangle shown. Write an expression that represents the length of the
rectangle.
2 answers:
Answer:
Step-by-step explanation:
We are given the Perimeter: P = Perimeter in decimal 3.5x+18
we know that a Perimeter is equal to all sides added up: <u><em>S1+S2+S3+S4=P</em></u>
we know that this is a rectangle so that means that it has <em><u>4 sides and two sides are the same and the other 2 are the same.</u></em>
<em><u /></em>
We are given the the height on the image
Height: H = in decimal 0.25x + 5
That height is one side so we know another of the sides is the same.
Perimeter is equal to all sides added up. So we have to subtract the sides to find out each ones measurements.
<u><em>(Height x 2) + (Width x 2) = Perimeter</em></u>
Therefore we know the height which is given on the image is 0.25x+5 so that times 2 = 0.5x+10 (height x 2)
so now we can subtract the heights from the perimeter.
3.5x + 18
- 0.5x + 10
--------------------
3x + 8
So we got rid of both heights. Now we are left with our two lengths:
3x+8 = (length x 2)
To get the length of one side we divide that by 2 because there are 2 sides that have the same length and get 1.5x+4 in fractions that is:
I hope this helped you or anyone else that needs the answer :)
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Answer:
1. 10 square yards
2. $9.10
3. 36 girls
4. 20 cherries
5. 159 bracelets
Step-by-step explanation:
1.
The area of this figure would be the area of the SQUARE minus the area of the RECTANGLE (taken out).
The middle part is taken out (this is a rectangle).
View this as a square with sides 4 by 4 with a rectangle portion taken out. So the area can be said as:
Area = Area of Whole Square - Area of Middle Rectangle Taken Out
Lets calculate:
Area of Whole Square:
side * side = 4 * 4 = 16
Now,
Area of Middle Rectangle Taken Out:
Length * Width
The length is given as 3
The width would be 4 - two 1 from two sides, that is 4 - 1 - 1 = 2
So, area = 3 * 2 = 6
Area of figure = 16 - 6 = 10 square yards
2.
We have to find 20% of the bill.
The bill was 45.50 and we have to find 20% of 45.50.
We first convert percentage to decimal by dividing by 100:
20% = 20/100 = 0.20
Now we multiply this decimal with the bill to get our desired answer:
0.20 * 45.50 = $9.10
The tip is $9.10
3.
The ratio of boys (b) to girls (g) would be 2 is to 3.
There are 24 boys.
We can set up a ratio (fraction) with boys on top and girls on bottom.
Then we equate it with actual number of boys and girls (let it be g). So the ratio set-up would be:
To solve for g, the number of girls, we have to cross multiply and use algebra to solve. The process is shown below:
There are 36 girls in sixth grade
4.
For every "9" lemon, there are "4" cherries.
There are 45 lemons
If we think of "9" lemons as a "box", how many boxes of lemons are there?
45/9 = 5
Similarly, there would be "5" boxes of cherries. But there are "4" cherries per box. So there are:
4 * 5 = 20 cherries
We can also set up a ratio of cherry to lemon as 4 is to 9 and equate it with actual cherries (let it be "c") and lemons (45). Cross multiply and use algebra to solve for cherries ("c"). Algebra process shown below:
See, we have the same answer, 20 cherries!
5.
Number sold total = 14 + 27 + 45 = 86
She still has 73 in her stock
So, she basically started with whatever she now has (73) and whatever she has sold the 3 days (86), that would be:
73 + 86 = 159 bracelets
Tia started with 159 bracelets