Answer:
104
Step-by-step explanation:
women = 8/8
men = 5/8
all workers = 8/8 + 5/8 = 13/8
extra women workers = 8/8 - 5/8 = 3/8
so...
3/8 = 24
13/8 = x
( cross multiplication method)
3/8 x = 39
x = 104
Hence, there are 104 workers
Answer:
![\approx \bold{44\ or\ 45}](https://tex.z-dn.net/?f=%5Capprox%20%5Cbold%7B44%5C%20or%5C%2045%7D)
Step-by-step explanation:
Given
Diameter of spherical metal ball = 400 mm = 40 cm
Radius of spherical metal ball = 20 cm
Volume of a sphere is given as:
![V_{Sphere} = \dfrac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V_%7BSphere%7D%20%3D%20%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
![\Rightarrow \dfrac{4}3 \times 3.14 \times 20 ^3 = 33493.33 \ cm^3](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B4%7D3%20%5Ctimes%203.14%20%5Ctimes%2020%20%5E3%20%3D%2033493.33%20%5C%20cm%5E3)
Dimensions of metal doorstops = 15 cm by 10 cm by 5 cm
It is of cuboid shape.
Volume of a cuboid is given as:
![V_{Cuboid} = l \times b\times h = 15 \times 10 \times 5 = 750\ cm^3](https://tex.z-dn.net/?f=V_%7BCuboid%7D%20%3D%20l%20%5Ctimes%20b%5Ctimes%20h%20%3D%2015%20%5Ctimes%2010%20%5Ctimes%205%20%3D%20750%5C%20cm%5E3)
Number of such doorsteps that can be made from the metal ball is equal to Volume of metal ball divided by volume of metal doorstep.
![\dfrac{33493.33}{750} \approx \bold{44\ or\ 45}](https://tex.z-dn.net/?f=%5Cdfrac%7B33493.33%7D%7B750%7D%20%20%5Capprox%20%5Cbold%7B44%5C%20or%5C%2045%7D)
Answer:
5x^2(x^2 + 2x + 3)
Step-by-step explanation:
All the terms can be factored by 5 and x^2, so we get:
5x^2(x^2 + 2x + 3)
there are no more common terms so this is the answer
5x^2+3x-4=0
<span>x^2+3x/5-4/5=0 </span>
<span>x^2+3x/5=4/5 </span>
<span>x^2+3x/5+9/100=89/100 </span>
<span>(x+3/10)^2=89/100 </span>
<span>x+3/10=±(√89)/10 </span>
<span>x=-3/10±√89/100 </span>
<span>x=-3±(√89/10)</span>
The X-intercepts are where the blue line cross the X-axis.
There is a black dot at (-3,0) and (1,0)
The answer would be the 2nd choice.