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3 years ago

A system of two linear equations with two variables is shown below.

Mathematics

1 answer:

Orlov [11]3 years ago

6 0

{ 3-y=2x
{ x+1/2y=3/2

{ -y=2x-3
{ 1/2y=3/2-x

{ y=-2x+3
{ y=3-2x

-2x+3=3-2x

(x,y) = (x,-2x+3)

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The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5:2 but, after Jacky gave 15 dolls to Peter, the

sleet_krkn [62]

Answer:

70 dolls

Step-by-step explanation:

Hello!

The ratio is 5:2, which are division of a whole. They can be represented as 5x and 2x.

Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.

Equation:

5x - 15 = 2x + 15

Solve:

5x - 15 = 2x + 15
5x - 30 = 2x
5x = 2x + 30
3x = 30
x = 10

So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.

The total sum is 70 dolls.

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2 years ago

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200 labourers need 50 days to construct a road of 4 km long. How many labourers are needed to construct 8 km long in 80 days

patriot [66]

Answer:

250

Step-by-step explanation:

Number of labourers * Number of days worked = Total number of working days

Total number of working days to construct a 4km long road: $200*50=10000$

Total mumber of working days to construct a 8km long road: $10000*2=20000$

Labourers: 20000 ÷ 80 = 250.

250 labourers are required.

7 0

3 years ago

it took jake 28 minutes to run 5km last months. this month he ran 5km in 21 minutes. by what percentage had jake improve his run

mars1129 [50]

Answer:

25%

Step-by-step explanation:

28-21=7

7/28=×/100

7×100=700

700÷28=25

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3 years ago

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I need to know the answer to this

scoundrel [369]

The answer is x=−1.3125

I hope this helps.

Have a "AWESOME" day! :)
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3 years ago

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A teacher dropped 8 coins on the table and counted the number of tails to simulate the number of questions a student might guess

Tomtit [17]

Answer:

Get 0 tails (correct answers in the test)

Get 5 tails (correct answers in the test)

Step-by-step explanation:

This is a problem of empirical probability calculation, since the teacher tries to find by means of the experimental method, the number of correct answers that a student could correctly guess in a true / false test with 8 questions.

If the teacher throws the 8 coins and then counts the number of tails, the graph shows the frequency with which 1, 2, 3, 4, 5, 6, 7 and 8 tails are obtained in the 100 attempts.

Therefore, the least probable result was the one that was obtained less frequently in the experiment or, in other words, the one that contains fewer points in the diagram, which in this case are:

Get 0 tails (correct answers in the test)

Get 5 tails (correct answers in the test)

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3 years ago

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