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3 years ago

Is -5 a solution to the equation for 6x + 5 = 5x + 8 + 2x? Explain?

Mathematics

1 answer:

grigory [225]3 years ago

8 0

For this case we have the following equation:

$6x + 5 = 5x + 8 + 2x$

We must find the solution.

We add similar terms from the right side of the equation:

$6x + 5 = 7x + 8$

We subtract 5 from both sides of the equation:

$6x = 7x + 8-5\\6x = 7x + 3$

We subtract 7x on both sides of the equation:

$6x-7x = 3$

Different signs are subtracted and the sign of the major is placed:

$-x = 3$

We multiply by -1 on both sides of the equation: $x = -3$

Thus, the solution of the equation is $x = -3$ . -5 is not a solution to the equation.

Answer:

$x = -3$ . -5 is not a solution to the equation

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Rectangle with a width of 36 centimeters and a perimeter of 80 centimeters

olga2289 [7]

Answer: Height = 4 centimeters

Area = 144 cm^2

Step-by-step explanation:

So we know that on a rectangle opposite sides are equal in distance.

If one side of the rectangle is 36 centimeters then that means the opposite side is also 36 centimeters.

36 + 36 = 72 centimeters

The perimeter is the sum of all sides, so two out of the four of our sides total to 72 centimeters. So the remaining length of both sides is as follows:

80 - 72 = 8

The sum of the remaining sides is 8 so divide it between the two and that is the height.

8/2 = 4

I'm not sure what the question wants so here is pretty much everything:

Height: 4 cm

Area: 144 cm^2

7 0

2 years ago

Eric has 183 coins all of them are nickels and dimes. If the total value of the coins is 14.45, how many of each denomination co

FromTheMoon [43]

Answer:

77 nickels

106 dimes

Step-by-step explanation:

Let there be n nickes and d dimes

Since there are 183 coins, we can write:

n + d = 183

Also, the value of nickel is 0.05 and dime is 0.1, total value is 14.45, so we can write:

0.05n + 0.1d = 14.45

Solving 1st equation for n, we have:

n = 183 - d

Putting this into 2nd equation and solving for d:

$0.05n + 0.1d = 14.45\\0.05(183-d) + 0.1d = 14.45\\9.15-0.05d+0.1d=14.45\\0.05d=5.3\\d=106$

There are 106 dimes

Since, n = 183 - d

n = 183 - 106

n = 77

There are 77 nickels

4 0

2 years ago

Find the common ratio of the geometric sequence -7,-14,-28

Aneli [31]

Answer:

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

-14/-7 = 2

Check by dividing the third term by the second term

-28/-14 = 2

The common ratio is 2

7 0

2 years ago

Read 2 more answers

Which expression is not equivalent to 8 · x · 2 · y?<br><br> 16yx<br> 8x + 2y<br> 16xy

IceJOKER [234]

Answer:

8x + 2y.

Step-by-step explanation:

8 . x . 2 . y = 16xy = 16yx

4 0

2 years ago

Read 2 more answers

The average number of Saturday night shootings is 5 a night. What’s the chance that there will be a need for exactly 3 shootings

pishuonlain [190]

Answer:

0.14

Step-by-step explanation:

Using the poisson probability relation :

P(x = x) = (λ^x * e^-λ) ÷ x!

From the question ; mean, λ = 5 ; x = 3

Hence,

P(x = 3) = (5^3 * e^-5) ÷ 3!

P(x = 3) = (125 * 0.0067379) / 6

P(x = 3) = 0.8422375 / 6

P(x = 3) = 0.140

5 0

2 years ago