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3 years ago

12

At midnight , the temperature in buffalo is 38.3 degrees Fahrenheit. Each hour the temperature decreases by 3.28. What is the te

mperature after 4 hours?

1 answer:

Olenka [21]3 years ago

7 0

25.18 would be the temperature after 4 hours

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Brainly use a matrix to find the solution to the system of equations -8x-8y=-16 6x-9y=-108

Mama L [17]

We want to use a matrix to solve
-8x - 8y = -16
6x - 9y = -108

Before solving, simplify the equations as follows:
Divide the first equation by -8 to obtain
x + y = 2 (1)
Divide the second equation by 3 to obtain
2x - 3y = -36 (2)

In matrix form, the equations are
$\begin{bmatrix}1&1\\2&-3\end{bmatrix} \begin{\bmatrix} x\\y\end{bmatrix}=\begin{bmatrix}2 \\ -36 \end{bmatrix}$

The determinant of the matrix is
D = (1)(-3) - (1)(2) = -5

Use Cramer's Rule.
$x = \frac{1}{D} det(\begin{bmatrix}2&1\\-36&-3 \end{bmatrix} ) = \frac{1}{-5} (-6+36) = -6$
Similalrly,
$y= \frac{1}{-5} det(\begin{bmatrix} 1&2\\2&-36\end{bmatrix} ) = \frac{1}{-5}(-36-4) =8$

Answer: (-6, 8) or x = -6, y = 8

8 0

3 years ago

108 = -2(-5 - 7b) What does b equal?

mario62 [17]

Answer:

b = 7

Step-by-step explanation:

108 = -2(-5 - 7b)

Distribute -2 to the terms inside the parenthesis:

108 = 10 + 14b

Subtract 10 from both sides of the equation to isolate 14b:

108 - 10 = 10 + 14b - 10

98 = 14b

Divide 14 on both sides of the equation to solve for b:

$\frac{98}{14} = \frac{14b}{14}$

7 = b

6 0

2 years ago

Earl has $571 in his checking account. After he writes a check to the bookstore for $285, how much is remaining in his account?

Juliette [100K]

Answer:

Step-by-step explanation:

6 0

3 years ago

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How do u write 1.02 as a fraction and a percent

Brilliant_brown [7]

The anwser is one and two tenths

7 0

2 years ago

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In how many ways can you choose 2 side dishes out of 8

Alina [70]

The first choice can be any one of the 8 side dishes.
For each of these . . .
The 2nd choice can be any one of the remaining 7.

Total number of ways to pick 2 out of 8 = (8 x 7) = 56 ways .

BUT ...

That doesn't mean you can get 56 different sets of 2 side dishes.

For each different pair, there are 2 ways to choose them . . .
(first A then B), and (first B then A). Either way, you wind up with (A and B).

So yes, there are 56 different 'WAYS' to choose 2 out of 8.
But there are only 28 different possible results, and 2 'ways'
to get each result.

4 0

2 years ago

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