Answer:
or ![18\frac{9}{20}\ kg](https://tex.z-dn.net/?f=18%5Cfrac%7B9%7D%7B20%7D%5C%20kg)
Step-by-step explanation:
We can convert from mixed numbers to decimal numbers:
![11\frac{1}{2}\ kg=(11+0.5)\ kg=11.5\ kg\\\\1\frac{1}{4}\ kg=(1+0.25)\ kg=1.25\ kg](https://tex.z-dn.net/?f=11%5Cfrac%7B1%7D%7B2%7D%5C%20kg%3D%2811%2B0.5%29%5C%20kg%3D11.5%5C%20kg%5C%5C%5C%5C1%5Cfrac%7B1%7D%7B4%7D%5C%20kg%3D%281%2B0.25%29%5C%20kg%3D1.25%5C%20kg)
Since they cleaned up 8.2 kilograms of trash in one neighborhood and 11.5 kilograms in another neighborhood, the total trash they cleaned up was:
![Total=8.2\ kg+11.5\ kg\\\\Total=19.7\ kg](https://tex.z-dn.net/?f=Total%3D8.2%5C%20kg%2B11.5%5C%20kg%5C%5C%5C%5CTotal%3D19.7%5C%20kg)
We know that they sent 1.25 kilograms to be recycled. Then, in order to calculate how many kilograms of trash they threw away, we must subtract the total kilograms of trash they cleaned up and the kilograms they sent to be recycled.
Then:
or ![18\frac{9}{20}\ kg](https://tex.z-dn.net/?f=18%5Cfrac%7B9%7D%7B20%7D%5C%20kg)
Answer:
185 units.
Step-by-step explanation:
So first, I subtracted: 250 - 120 = 130
I divided 130 by 2. I got 65.
I subtracted 65 from 250 and I got 185.
Proof it is correct:
185 - 120 = 65
AND
250 - 185 = 65
--
Answer:
It took 1.2 hours to get to the store
Step-by-step explanation:
Let the time taken to reach the store be t₁
Let the time taken to come back be t₂
Let the speed to and from store = s₁ and s₂ respectively
let the distance to the store = d
To the store:
![speed = \frac{distance}{time} \\s = \frac{d}{t_1} \\t_1 = \frac{d}{s_1}\\t_1 =\frac{d}{4} - - - - - (1)](https://tex.z-dn.net/?f=speed%20%3D%20%5Cfrac%7Bdistance%7D%7Btime%7D%20%5C%5Cs%20%3D%20%5Cfrac%7Bd%7D%7Bt_1%7D%20%5C%5Ct_1%20%3D%20%5Cfrac%7Bd%7D%7Bs_1%7D%5C%5Ct_1%20%3D%5Cfrac%7Bd%7D%7B4%7D%20-%20-%20-%20-%20-%20%281%29)
Back from the store:
![s_2 = \frac{d}{t_2} \\t_2 = \frac{d}{s_2}\\where:\\s_2 = 6\ miles\ per\ hour\\t_2 = \frac{d}{6} - - - - - - (2)](https://tex.z-dn.net/?f=s_2%20%3D%20%5Cfrac%7Bd%7D%7Bt_2%7D%20%5C%5Ct_2%20%3D%20%5Cfrac%7Bd%7D%7Bs_2%7D%5C%5Cwhere%3A%5C%5Cs_2%20%3D%206%5C%20miles%5C%20per%5C%20hour%5C%5Ct_2%20%3D%20%5Cfrac%7Bd%7D%7B6%7D%20-%20-%20-%20-%20-%20-%20%282%29)
We are told that total time (t₁ + t₂) = 2 hours
t₁ + t₂ = eqn (1) + eqn (2)
![\frac{d}{4} + \frac{d}{6} = 2\\Multiplying\ through\ by\ 12:\\3d\ +\ 2d\ =\ 24\\5d = 24\\d = \frac{24}{5} \\d = 4.8\ miles](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7B4%7D%20%2B%20%5Cfrac%7Bd%7D%7B6%7D%20%3D%202%5C%5CMultiplying%5C%20through%5C%20by%5C%2012%3A%5C%5C3d%5C%20%2B%5C%202d%5C%20%3D%5C%2024%5C%5C5d%20%3D%2024%5C%5Cd%20%3D%20%5Cfrac%7B24%7D%7B5%7D%20%5C%5Cd%20%3D%204.8%5C%20miles)
∴ length of trip to the store = t₁
from eqn (1)
![t_1 = \frac{d}{4} \\t_1 = \frac{4.8}{4} \\t_1 = 1.2\ hours](https://tex.z-dn.net/?f=t_1%20%3D%20%5Cfrac%7Bd%7D%7B4%7D%20%5C%5Ct_1%20%3D%20%5Cfrac%7B4.8%7D%7B4%7D%20%5C%5Ct_1%20%3D%201.2%5C%20hours)
Answer:
D and D
Step-by-step explanation:
31. 2/10
A.0/10
B.0.40
C.0.04
D. ⊂ 0.2 ⊃
32. 12/25
A.0.12
B.0.24
C.0.36
D. ⊂ 0.48 ⊃
Area of triangle = base x height x 1/2
Area of the triangle:
= 12 x 15 x 1/2
= 180 x 1/2
= 90 units^2