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2 years ago

Solve the system of linear equations by substitution. x + 4y = 6 x - y = 1

Mathematics

1 answer:

bulgar [2K]2 years ago

6 0

9514 1404 393

Answer:

(x, y) = (2, 1)

Step-by-step explanation:

Use the second equation to write an expression for x:

x = 1 +y

Substitute that into the first equation:

(1 +y) +4y = 6

5y = 5 . . . . . . . . subtract 1, collect terms

y = 1 . . . . . . . divide by 5

x = 1 +1 = 2 . . . use the expression for x to find x from y

The solution is (x, y) = (2, 1).

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Answer:

The solution to your equation is: 23x+2

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3 years ago

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Someone help<br> What is 3.5=12s-55

Vaselesa [24]

Answer:

4.875 = s

Step-by-step explanation:

3.5=12s-55

Add 55 to each side

3.5+55=12s-55+55

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2 years ago

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Ashley can ride her bicycle 15 ml in 2 hours. There are 60 minutes in 1 hour and there are 1,760 in 1 mile. How many yards does

bearhunter [10]

Answer:

220 Yards per minute

Step-by-step explanation:

15miles/2hours

**To show mph**

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7.5*1,760/60minutes

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220ypm

4 0

2 years ago

Q is directly proportional to r.<br> Q is 76 when r is 20.<br> Work out q when r is 45

r-ruslan [8.4K]

Answer:

171

Step-by-step explanation:

Q~r

find k (k is the constant)

Q=kr

76=k×20

76=20k divide 20 on both sides giving you

k=3.8

then Q=k×r

Q=3.8×45

Q=171

3 0

2 years ago

Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked h

Andrews [41]

Answer:

[0.9 months, 32.69 months]

Step-by-step explanation:

The mean is

$\bf \bar x=\frac{5+17+12+21+29}{5}=16.8$

The standard deviation is

$\bf s=\sqrt{\frac{(5-16.8)^2+(17-16.8)^2+(12-16.8)^2+(21-16.8)^2+(29-16.8)^2}{5}}=8.1092$

Now, we have to find two values a and b such that the area under the Normal curve with mean 16.8 and standard deviation 8.1092 between a and b equals <em>95% = 0.95 </em>

Using a spreadsheet we find these values are

a = 0.906

b = 32.694

<h3>(See picture) </h3>

and our 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program rounded to two decimal places is

[0.9 months, 32.69 months]

4 0

2 years ago