1.647058824 is the answer
The arrangement of the fractions given from the lowest to the highest is illustrated
<h3>How to illustrate the information?</h3>
a. 1/2, 3/4, 5/10, 9/20.
We can change this to percentages.
1/2 = 1/2 × 100 = 50%
3/4 = 3/4 × 100 = 75%
5/10 = 5/10 × 100 = 50%
9/20 = 9/20 × 100 = 45%
Therefore, the arrangement will be 9/20, 5/10, 1/2, and 3/4.
b. 3/8, 1/15, 3/20, 9/10
3/8 = 37.5%
1/15 = 6.67%
3/20 = 15%
9/10 = 90%
The arrangement will be 1/15, 3/20, 3/8, and 9/10.
c. 7/9, 1/3, 5/6, 3/4
7/9 = 77.7%
1/3 = 33.3%
5/6 = 82%
3/4 = 75%
The arrangement will be 1/3, 3/4, 7/9, and 5/6.
d.3/12, 1/5 7/15 1/20
3/12 = 25%
1/5 = 20%
7/15 = 48%
1/20 = 5%
The arrangement will be 1/20, 1/5, 3/12, and 7/15.
Learn more about fractions on:
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Discount = 42%
Discount = $126
42% = 126
Find 1%:
1% = 126 ÷ 42 = $3
Find 100% (Original Price):
100% = $3 x 100 = $300
Answer: The original price of the camera is $300.
Hey!
There's two ways we can find the slope intercept form for this equation. Which would be to convert to standard form, or convert to slope intercept form. In this case, I'll be converting the equation to slope intercept form.
<em>Slope Intercept Form Formula :
</em>4y = mx + b
Now, we'll write out our original equation and convert it.
<em>Original Equation :
</em>y + 2 = 3 ( x - 7 )
<em>New Equation {Changed by Conversion} :
</em>y = 3x - 23
From here we can really just spot which number is and that number is 3.
If you want to know how that image is graphed, I attached an image to the answer.
<em>So, the slope of the equation y + 2 = 3 ( x - 7 ) is</em>
3.
Hope this helps!
- Lindsey Frazier ♥
Answer:
<h2>a) length x = 45ft</h2><h2>b) maximum area = 4050 ft²</h2>
Step-by-step explanation:
Given the quadratic equation A=−2x2+180x that gives the area A of the yard for the length x, to maximize the area of the yard then dA/dx must be equal to zero i.e dA/dx = 0
If A=−2x²+180x
dA/dx = -4x + 180 = 0
-4x + 180 = 0
Add 4x to both sides
-4x + 180 + 4x = 0 + 4x
180 = 4x
x = 180/4
x = 45
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<em>Hence the length of the building that should border the yard to maximize the area is 45 ft</em>
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To find the maximum area, we will substitute x = 45 into the modelled equation of the area i.e A=−2x²+180x
A = -2(45)²+180(45)
A = -2(2025)+8100
A = -4050 + 8100
A = 4050 ft²
<em>Hence the maximum area of the yard is equal to 4050 ft²</em>