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pychu [463]
3 years ago
11

An artist mixes 2 parts blue paint and 3 parts yellow paint to get a shade of green. How many parts blue paint should the artist

mic with 12 yellow paint to get the same shade green
Mathematics
1 answer:
Makovka662 [10]3 years ago
5 0

Answer:

8 blue paint

Step-by-step explanation:

3 yellow paint with 2 blue paint gave the mixture

12 yellow paints will give (12 x 2)/3 blue paint to give the mixture

blue paint required= 24/3 = 8 blue points

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A cargo grain leaves Chicago at noon travelling west at 120 km/h. At 2 pm, a passenger train leaves Chicago travelling east at 3
AfilCa [17]

Answer:

a) The trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.

b) At that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.

Step-by-step explanation:

a) First, we need to find the distance traveled by the cargo train in the two hours before the passenger train leaves Chicago:

x_{1} = v_{1}t_{1} = 120 km/h*2h = 240 km                    

Now, we can find the time when the trains will be 1520 km apart:

1520 km = (x_{1} + 240 km) + x_{2}      

Where 1 is for the cargo train and 2 is for the passenger train.

1520 km = (v_{1}*t_{1} + 240 km) + v_{2}t_{2}      

Since we need to calculate the time when the trains are 1520 km apart, t₁ = t₂, so:

1520 km = (v_{1}*t + 240 km) + v_{2}t              

t = \frac{1520 km - 240 km}{120 km/h + 360 km/h} = 2.667h

For the cargo train, it will be 1520 km apart from the passenger train at:

t_{1} = 12 pm + 2 h + 40 min = 2:40 pm

And for a passenger train, it will be 1520 km apart from the cargo train at:

t_{2} = 2 pm + 2 h + 40 min = 4:40 pm  

Hence, the trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.  

b) The distance traveled by both trains is given by:

x_{1} = v_{1}*t + 240 km = 120 km/h*2.667 h + 240 km = 560.04 km    

x_{2} = v_{2}*t = 360 km/h*2.667 h = 960.12 km    

Therefore, at that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.

I hope it helps you!        

5 0
2 years ago
Sam rolls two number cubes. What is the probability Sam will roll a sum of 9?
Svetach [21]

Answer:

1/9 chance

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the common difference of the arithmetic sequence graphed below?
sp2606 [1]

Answer:

Option D 2 is correct...hope it helps:)

8 0
2 years ago
The Appalachian trail is 2,174 miles long. About how long would a trail be if it were 3 tines the length of the Appalachian trai
mash [69]
Multiply 2174 and 3
your answer will be 6522
6 0
3 years ago
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
kompoz [17]

Answer:

x = 4

Step-by-step explanation:

-5(x-1)-x+1=-18\\\\-5x+5-x+1=-18\\\\-6x+6=-18\\\\-6x=-24\\\\x=4

5 0
3 years ago
Read 2 more answers
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