Answer:
length of scale drawing = 9 feet
width of scale drawing = 3 feet
Step-by-step explanation:
Actual dimension 15 feet by 45 feet.
length = 45 feet
width = 15 feet
Dimension on drawing is 20% of actual dimension.
20% = 20/100
Thus,
20% of 15 feet = 20/100 * 15 feet = 3 feet
20% of 45 feet = 20/100 * 45 feet = 9 feet
Thus, length of scale drawing = 9 feet
width of scale drawing = 3 feet
Answer:
The area of the rectangle is 1222 units²
Step-by-step explanation:
The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width
The formula of the area of a rectangle is A = L × W
∵ The length of a rectangle is 5 less than twice the width
- Assume that the width of the rectangle is x units and multiply
x by 2 and subtract 5 from the product to find its length
∴ W = x
∴ L = 2x - 5
- Use the formula of the perimeter above to find its perimeter
∵ P = 2(2x - 5 + x)
∴ P = 2(3x - 5)
- Multiply the bracket by 2
∴ P = 6x - 10
∵ The perimeter of the rectangle is 146 units
∴ P = 146
- Equate the two expression of P
∴ 6x - 10 = 146
- Add 10 to both sides
∴ 6x = 156
- Divide both sides by 6
∴ x = 26
Substitute the value of x in W and L expressions
∴ W = 26 units
∴ L = 2(26) - 5 = 52 - 5
∴ L = 47 units
Now use the formula of the area to find the area of the rectangle
∵ A = 47 × 26
∴ A = 1222 units²
∴ The area of the rectangle is 1222 units²
Our final answer must represent "number of mosquitos." This verifies that the correct calculation would be
1000 mosquitos 10.5 hours
----------------------- x --------------------
1 hour 1
Multiply this out. Note that "hours" will cancel.
Whats your result?
Supposing that your result looked like xxxxx times 10^0,
you'd convert this into scientific notation by moving the decimal place four units to the left (obtaining x.xxx) and then increasing the exponent of 10 from zero to four (obtaining 10^4).
Then your answer would have the form x.xxx times 10^4 (mosquitos)
Answer:
<em>y=0.10(t)+0.25 </em>
<em>27 minutes and 30 seconds </em>
Step-by-step explanation:
We know that you start with 25 cents as a service fee, this is for making the call. For each minute you talk, 10 cents are added. Multiply the number of minutes spent by 10 cents a minute for the cost based on the call. Then add the 25 cents service fee.
If you talked for 5 minutes:
y=0.10(5)+0.25
y=0.50+0.25
y=0.75
75 Cents
For three dollars, you would plug in 3 for y
3.00=0.10(t)+0.25
-0.25 -0.25
2.75=0.10(t)
divide both sides by 0.10 to get
27.5=t
You can talk for 27 minutes and 30 seconds
27 minutes
<u>Hope this helps :-)</u>
