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2 years ago

If one pound of shrimp cost $6 what does 7/8 pound cost

Mathematics

1 answer:

Marizza181 [45]2 years ago

7 0

6 / 8 = 3/4
3/4 x 7 = 5 1/4
5 1/4 = $5.25

So, 7/8 of a pound of shrimp costs $5.25.

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Tell whether the ordered pair is a solution of the given system. (-2,-4) {y=1/2x -3, y=-2x-8}

kompoz [17]

Answer:

The ordered pair $(-2,\, -4)$ is indeed a solution to the system:

$\left\lbrace\begin{aligned} & y = \frac{1}{2}\, x - 3 \\ & y = -2\, x - 8\end{aligned}\right.$ .

Step-by-step explanation:

Consider a system of equations about variables $x$ and $y$ . An ordered pair $(x_{0},\, y_{0})$ (where $x_{0}$ and $y_{0}$ are constant) is a solution to that system if and only if all equations in that system hold after substituting in $x = x_{0}$ and $y = y_{0}$ .

For the system in this question, $(-2,\, -4)$ would be a solution only if both equations in the system hold after replacing all $x$ in equations of the system with $(-2)$ and all $y$ with $(-4)$ .

The $\texttt{LHS}$ of the equation $y = (1/2)\, x - 3$ would become $(-4)$ . The $\texttt{RHS}$ of that equation would become $(1/2) \, (-2) - 3$ . The two sides are indeed equal.

Similarly, the $\texttt{LHS}$ of the equation $y = -2\, x - 8$ would become $(-4)$ . The $\texttt{RHS}$ of that equation would become $(-2)\, (-2) - 8$ . The two sides are indeed equal.

Thus, $x = (-2)$ and $y = (-4)$ simultaneously satisfy both equations of the given system. Therefore, the ordered pair $(-2,\, -4)$ would indeed be a solution to that system.

8 0

2 years ago

If f(x)=-3x+3, then f-1(x)=

olganol [36]

Answer: f^{-1}(x) = 3-x/3

Step-by-step explanation: Let y = f(x) and rearrange making x the subject, that is...

1. y = - 3x + 3 ( add 3x to both sides )

2. 3x + y = 3 ( subtract y from both sides )

3. 3x = 3 - y ( divide both sides by 3 )

4. x = 3-y/3

Change x back into terms of y

f^{-1}(x) = 3-x/3

6 0

3 years ago

Read 2 more answers

If a triangle has side lengths of 5.6 yards, 7.1 yards, and x yards, find the range of possible values of x.

ANTONII [103]

Hi!

To find the range of possible values of x, we have to side 1 from side 2...

7.1 - 5.6 = 1.5

The smallest side x could be is 1.5.
Now add side 1 to side 2

7.1 + 5.6 = 12.7

The biggest side x could be is 12.7

So x could be anywhere from 1.5 to 12.7 (or, 1.5 < x < 12.7)

Hope this helps! :)

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3 years ago

What's 2 ÷ 96 and does any one want my s n a p c h a t

oksano4ka [1.4K]

The answer is 47 no I don’t want thank you

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3 years ago

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Find the value of n in 7 times 38 plus 3 times 45 minus 56

Alex787 [66]

7 * 38 + 3*45 - 56
use order of operations
(7*38) + (3*45) - 56

266 + 135 - 56

=345

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3 years ago