Solve this system of equations using any method. 2x – y = 5 4x + y =7

Answers

Answer 1

Answer: Substitute on equation 2, y = -4x + 7. so equation 1 becomes 2x - (-4x + 7) = 6x - 7 = 5. 6x = 12, so x = 2. from above, y = -4x+7 = -4(2) + 7 = -1

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A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is 950 ft2. If the length of the pool is 8 feet longer than the width, find the dimensions of the pool.

Answers

Answer:

$x \approx 21.080\,ft$ , $y = 29.080\,ft$

Step-by-step explanation:

The total area of the pool and the walkway is:

$(x + 6\,ft)\cdot (y + 6\,ft) = 950\,ft^(2)$

$(x + 6\,ft)\cdot (x + 14\,ft) = 950\,ft^(2)$

$x^(2) + 20\cdot x + 84\,ft^(2) = 950\,ft^(2)$

$x^(2) + 20\cdot x - 866\,ft^(2) = 0$

The roots of the second-order polynomial is:

$x_(1) \approx 21.080\,ft$ and $x_(2) \approx -41.081\,ft$

The only possible root is:

$x \approx 21.080\,ft$

The other dimension of the pool is:

$y = x + 8\,ft$

$y = 21.080\,ft + 8\,ft$

$y = 29.080\,ft$

Write .48 as a fraction in simplest form

Answers

Answer:

12/25

Step-by-step explanation:

0.48 is read as "forty-eight hundredths," so we can write it as a fraction as

48/100.

Since both 48 and 100 have a common factor, we can reduce the fraction.

48 and 100 are both divisible by 4.

48/100 = 12/25

There are no common factors of 12 and 25, so 12/25 is the answer.

Answer:

12/25

Step-by-step explanation:

48/100 Divide by 2

24/50 Divide by 2 again

12/25 Can not be further simplified.

I hoped this helped you

A round Barbecue Pit is 2 meters in diameter what is the distance around the barbecue pit

Answers

I don't understand what you are asking

Y 1=4/5(x-3) solve this equation

Answers

y+1=4/5(x-3)
you want me to convert to standard form or slope-intercept
ax+by=c or y=mx+b

so
standard
y+1=4/5(x-3)
first distribute 4/5
y+1=4/5x-12/5
minus 1 or 5/5 from both sides
y=4/5x-17/5

standard form
y=4/5x-17/5
minus 4/5x from both sides
-4/5x+y=-17/5
we like whole, positivve numbers
times both sides by -5
4x-5y=17

it is
y=4/5x-17/5 or
4x-5y=17

How many solutions does the system have?x = -4y + 4
2x + 8y = 8

A. one solution
B. two solutions
C. infinitely many solutions
D. no solution

Answers

If you would like to know how many solutions does the system of two equations have, you can calculate this using the following steps:

x = -4y + 4 ... x + 4y = 4 /*(2)
2x + 8y = 8
____________
2x + 8y = 8
2x + 8y = 8
____________
0 = 0

The correct result would be infinitely many solutions.

An photo studio is going to display a portrait in their lobby. The portrait is being reproduced from a photo with dimensions 6 inches by 3 inches. If the dimensions of the portrait in the lobby are 20 times the dimensions of the original photo, determine the area of the portrait in square feet.a.
7,200 ft2

b.
50 ft

c.
300 ft

d.
200 ft

Answers

Answer:

300ft

Step-by-step explanation:

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