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3 years ago

What is the unit rate for $240 for 4 days

Mathematics

2 answers:

VikaD [51]3 years ago

6 0

Divide $240 by 4 days:

$240
---------- = $60/day
4 days

frosja888 [35]3 years ago

3 0

I think it is $60 per day

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3 years ago

I just need help explaining it. solve the system of equation

Maksim231197 [3]

SOLUTION

Write out the equation

$\begin{gathered} y=\frac{1}{3}x-3 \\ 5x-3y=-3 \end{gathered}$

To solve this system of equation, the aprropriate method will be substitution

Substitute the expression for y into the second equation for y, we have

$5x-3(\frac{1}{3}x-3)=-3$

Expand the paranthesis we have

$\begin{gathered} 5x-x+9=-3 \\ \text{Simplify},\text{ by subtracting 9 from both sides } \\ 4x+9-9=-3-9 \\ 4x=-12 \end{gathered}$

Divide both sides by 4, we have

$\begin{gathered} \frac{4x}{4}=-\frac{12}{4} \\ \text{Then} \\ x=-3 \end{gathered}$

Since the value of x has been obtained, we substitute into the first equation

$\begin{gathered} y=\frac{1}{3}x-3 \\ \text{ recall x=}-3 \\ y=\frac{1}{3}(-3)-3 \\ y=-1-4 \\ \text{Hence } \\ y=-4 \end{gathered}$

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6 0

1 year ago

On a coordinate plane, a line is drawn from point C to point D. Point C is at (negative 1, 4) and point D is at (2, 0). Point C

skelet666 [1.2K]

Answer:

distance = 5 units

Step-by-step explanation:

In order to solve this problem we can start by plotting the two points you were provided with (see attached picture). This will help us visualize the problem better.

Now, we need to find the distance between those two points, so in order to do so we can use the distance formula:

$distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

in this case the x's and y's are given by the given points, since they are written as ordere pairs. And ordered pairs are written in the form (x,y). So for Point C:

C=(-1,4)

$x_{1}=-1$