Answer:
28
Step-by-step explanation:
l = length
w = width
p = perimeter
w = w
l + l + w + w = p (adding all the rectangle's sides together gets us our perimeter)
l = 2w + 4 (four more than twice the width)
Substitute 2w + 4 for 'l' in the original equation
(2w + 4) + (2w + 4) + w + w = 80
Solve equation normally:
6w + 8 = 80
6w = 72
w = 72/6 = 12
(w = 12)
Length = 2w + 4
Substitute 12 for 'w':
2(12) + 4 = l
24 + 4 = l
28 = l
The length is 28
Answer to the 1st question: 8 years
Answer to the 2nd question: The year 2022
=======================================================
Further explanation:
x = number of years after 2008
y = average price of a new car
The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.
The y intercept is b = 30100 as this is the price in 2008.
This leads us to go from y = mx+b to y = 1250x+30100
Plug in x = 0 and you should get y = 30100.
Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.
-----------------
Next, we plug in y = 47600 and solve for x.
y = 1250x+30100
47600 = 1250x+30100
47600-30100 = 1250x
17500 = 1250x
1250x = 17500
x = 17500/1250
x = 14
This means 14 years after the year 2008 is when the average new car price will be $47,600.
2008+14 = 2022
2022-2014 = 8
Therefore, <u>8 years</u> after 2014 (aka the <u>the year 2022</u>) is when the new car average price will be $47,600.
The volume of premium antifreeze to be used is 60 gallons.
The volume of water to be used is 120 gallons
<h3>What is a percentage?</h3>
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Let the volume of 60% pure antifreeze be used to make 20% pure antifreeze.
= x gallons
The volume of 20% pure antifreeze = 180 gallons
For 60% pure antifreeze:
C₁ = 60% , V₁ = x gallons
For 20% pure antifreeze :
C₂ = 20% , V₂ = 180 gallons
Applying,
C₁V₁ = C₂V₂
60 × x = 20 × 180
x = 60 gallons
The volume of 60% pure antifreeze used = 60 gallons.
The volume of water to be used.
= 180 - 60 gallons
= 120 gallons
Thus,
The volume of premium antifreeze to be used is 60 gallons.
The volume of water to be used is 120 gallons
Learn more about percentages here:
brainly.com/question/11403063
#SPJ1
Answer:
X=29
Step-by-step explanation:
Add 12 to both sides
Answer:
782?
Step-by-step explanation:
