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Katarina [22]
2 years ago
15

Consider the system of linear equations. x + y = 9.0 0.50 x + 0.20 y = 4.05 Find the values of x and y .

Mathematics
1 answer:
mixas84 [53]2 years ago
4 0

Answer:

x=7.5

y=1.5

Step-by-step explanation:

x + y = 9.0

subtract x from both sides

y=9-x

0.50x + 0.20y= 4.05

0.50 x +0.20(9-x)= 4.05

0.50x+1.8-0.2x= 4.05

combine like terms

0.30x+1.8= 4.05

subtract 1.8 from both sides

0.30x=2.25

divide both sides by 0.3

x=7.5

y=9-x

y=9-7.5

y=1.5

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A research submarine descends 65 meters per minutes to a depth of 4485 m, conducts experiments, and then ascends at a rate of 65
sukhopar [10]

Answer:

Step-by-step explanation:

speed =65m/mins = 65/60 = 1.083m/s

Time taken to go down,

t = 4485/1.083

= 4141.37 s

Total time gotten = 12 hrs = 12*60*60

= 43200s

Amount of time left to conduct experiment

= 43200-4141.37

= 39058.63s

= 39058.63/3600

= 10.85 hrs

7 0
2 years ago
Read 2 more answers
Which of the following events are equal? (a) A = {1,3}; (b) B = {x | x is a number on a die }; (c) C = {x | x2 −4x +3=0 }; (d) D
rosijanka [135]

Answer:

A and C

Step-by-step explanation:

To determine which events are equal, we explicitly define the elements in each set builder.

For event A

A={1.3}

for event B

B={x|x is a number on a die}

The possible numbers on a die are 1,2,3,4,5 and 6. Hence event B is computed as

B={1,2,3,4,5,6}

for event C

C=[x|x^{2}-4x+3]\\solving  x^{2}-4x+3\\x^{2}-4x+3=0\\x^{2}-3x-x+3=0\\x(x-3)-1(x-3)=0\\x=3 or x=1

Hence the set c is C={1,3}

and for the set D {x| x is the number of heads when six coins re tossed }

In the tossing a six coins it is possible not to have any head and it is possible to have head ranging from 1 to 6

Hence the set D can be expressed as

D={0,1,2,3,4,5,6}

In conclusion, when all the set are compared only set A and set C are equal

5 0
2 years ago
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-1.5, 3/4, 3, √10

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8 0
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Lesechka [4]
A is the correct letter name for D1 i believe 
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2 years ago
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Sedaia [141]
  • <em>Answer:</em>

<em> 24 mph</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>Vm = 21mph</em>

<em>V1 = 18mph</em>

<em>V2 = ?</em>

<em>Vm = (V₁ + V₂)/2</em>

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<em>V₂ = 2Vm - V₁</em>

<em>replace Vm ; V₁</em>

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<em>= 24 mph</em>

<em>Good luck !</em>

8 0
2 years ago
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