The r% of a quantity x is computed by dividing x in 100 parts, and considering r of such parts. So, the r% of the male is
![30\times\cfrac{r}{100} = 0.3 r](https://tex.z-dn.net/?f=%2030%5Ctimes%5Ccfrac%7Br%7D%7B100%7D%20%3D%200.3%20r%20)
and similarly, the r% of female is
![20\times\cfrac{r}{100} = 0.2 r](https://tex.z-dn.net/?f=%2020%5Ctimes%5Ccfrac%7Br%7D%7B100%7D%20%3D%200.2%20r%20)
The number of males decreased by this quantity, so now it is
![30 - 0.3r](https://tex.z-dn.net/?f=%2030%20-%200.3r%20)
and the number of female increased by this quantity, so now it is
![20+0.2r](https://tex.z-dn.net/?f=%2020%2B0.2r%20)
we know that these two new counts are the same number, so we can build and solve the equality
![30 - 0.3r = 20+0.2r](https://tex.z-dn.net/?f=%2030%20-%200.3r%20%3D%2020%2B0.2r%20)
Subtract 20 and add 0.3r from both sides:
![10 = 0.5r](https://tex.z-dn.net/?f=%2010%20%3D%200.5r%20)
Divide both sides by 0.5 to solve for r:
![r = 20](https://tex.z-dn.net/?f=%20r%20%3D%2020%20)
Let's check the answer
The 20% of 30 is
, while the 20% of 20 is 4. So, we are stating that
which is true because both expressions evaluate to 24.
Answer:
Its false because
Step-by-step explanation:
3250-1250=1500+2.(1250-500)
2000 = 1500 + 2 . 750
2000 = 1500 + 1500
2000 != 3000
Obviously 2000 isnt the same of 3000
Answer:
a = 162
Step-by-step explanation:
9 = 1/27 a +3
Subtract 3 from each side
9-3 = 1/27 a +3-3
6 = 1/27 a
Multiply each side by 27
6*27 = 1/27 a *27
162 = a
Answer:
its 3
so its
(4x+4)^2-2(4x+4)-5
so first you have to do
(4x+4)(4x+4)
the answer is 16x^2+32x+16
and then you do -2(4x+4) and then you add them so then its
16x^2+32x+16-8x-8-5
and then you just add like terms so its
16x^2+24x+3
and then you insert 0 for x
so the answer is 3
Step-by-step explanation:
Answer:
he keep 36$
Step-by-step explanation:
2/5 is 40% plus the 50% thats 90% so he only keep 10% which is 36$