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3 years ago

Which ordered pair solves the system of equations?

Mathematics

1 answer:

Serggg [28]3 years ago

7 0

Answer:

(1;1)

Step-by-step explanation:

1. if y=2x-1, then it is possible to substitute 2x-1 into the 2d equation:

5x-4(2x-1)=1, ⇒ 5x-8x+4=1, ⇔ -3x=-3, ⇔ x= 1;

2. if x=1, then y=2x-1=2-1= 1.

3. the required pair is (1;1)

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The table and the graph below each show a different relationship between the same two variables, x and y: How much more would th

katrin [286]

Answer:

c. 60

Step-by-step explanation:

in the table :

x = 12 , y = 12×25=300

on the graph :

x= 12 , y = 12×30=360

so, the difference is 360-300 = 60

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3 years ago

Mark earned $40 mowing lawns last week. He spent 3/5 of his money on two books. How much did he spend on those two books?

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First, convert 3/5 to a percent by multiplying it by 20/20, getting 60/100, or 60%. Then, find 60% of 40 by multiplying 60 by 40 to get 2,400 and divide it by 100 to get 24, meaning Mark spend $24 on both books. Each of the books cost $12, as 24/2 is 12.

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3 years ago

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3 years ago

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Lana71 [14]

Answer:

dV(t)/dt = kV(t)

Step-by-step explanation:

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3 years ago

A geologist examines 6 seawater samples for lead concentration. The mean lead concentration for the sample data is 0.903 cc/cubi

Gnesinka [82]

Answer:

Step-by-step explanation:

We want to determine a 95% confidence interval for the mean lead concentration of sea water samples

Number of samples. n = 6

Mean, u = 0.903 cc/cubic meter

Standard deviation, s = 0.0566

For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean +/- z ×standard deviation/√n

It becomes

0.903 +/- 1.96 × 0.0566/√6

= 0.903 +/- 1.96 × 0.0566/2.44948974278

= 0.903 +/- 0.045

The lower end of the confidence interval is 0.903 - 0.045 =0.858

The upper end of the confidence interval is 0.903 + 0.045 =0.948

Therefore, with 95% confidence interval, the mean lead concentration of the sea water is between 0.858 cc/cubic meter and 0.948 cc/cubic meter

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3 years ago