The profit should be shared in proportion to Mr Jones, Mr Thomas and Mr forson capitals in the ratio 21 : 32 : 27 respectively.
<h3>Proportion</h3>
- Mr Jones capital = $12600
- Mr Thomas capital =$19200
- Mr forson capital = $16200
Total capital = $12600 + $19200 + $16200
= $48,000
Mr Jones proportion = $12600 / $48,000
= 21/80
Mr Thomas proportion = $19200 / $48,000
= 32/80
Mr forson proportion = $16200 / $48000
= 27/80
Learn more about proportion:
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Answer:
y = 4(x+6)(x-2)
Step-by-step explanation:
y = 4x² + 16x - 48, factor out the 4
y = 4(x² + 4x - 12), find factors of 12
Factors of 12:
1*12, 2*6, 3*4; find a pair that sums to 4x or 4
6-2 = 4, since 12 is a negative number, a number in the factor must be negative, in this case, making 2 negative, would make 6-2 = 4
y = 4(x+6)(x-2)
Answer:
11 yards
Step-by-step explanation:
The volume of a cone formula is:
![V=\frac{1}{3}\pi r^2 h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h)
Where V is the volume,
r is the radius (half of diameter)
h is the height
Given,
h = 15
V = 475.17
We find the radius (r) first by substituting given values:
![V=\frac{1}{3}\pi r^2 h\\475.17=\frac{1}{3}\pi r^2 (15)\\475.17=5\pi r^2\\r^2=30.25\\r=5.5](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h%5C%5C475.17%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20%2815%29%5C%5C475.17%3D5%5Cpi%20r%5E2%5C%5Cr%5E2%3D30.25%5C%5Cr%3D5.5)
The radius (r) is 5.5 yards
We need the diameter, which is DOUBLE THE RADIUS, so diameter would be:
Diameter = 5.5 * 2 = 11 yards
Since its x + 3 we use -3
-3| 2 1 -8 21 (these are the # without the x)
___________________
-6 15 -21
-------------------------------
2 -5 7 0
Drag the 2 down, multiple it by -3 to get -6
1+(-6) = -5. -5 * -3 =15 . 15+(-8) = 7
7*-3 = -21. -21 +21 = 0
Since last # is 0 we have a factor.
factor is 2x^2 -5x -7 (we start with a power 1 less the original.)
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Answer:
1. 16−6=10
2. 4⋅2+1
3. x÷25
4. y+8=40
Explanation:
This is an equation—two expressions are connected with an .This is an expression—no equal sign.
This is an expression—no equal sign.
This is an equation—two expressions are connected with an equal sign.