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Svetach [21]
4 years ago
5

Why is is important to convert rates to the same units before comparing them?

Mathematics
1 answer:
lord [1]4 years ago
7 0
<span>You have to convert rates to the same units before you compare them otherwise you are not comparing like with like. For example, if you compare 3kg with 3000g you may think the second is bigger, but when converted to the same rates they are actually identical.</span>
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Help me with my homework​
Kay [80]

Answer:

a.\frac{x+10}{5} = 9.5

b. $37.50

Step-by-step explanation:

To find out how much the 5 were paying in total, we can add the bill and the tip. This gives us x + 10. Since there are 5 people and they are splitting the bill equally, the total amount would be divided by 5 to get the amount each person pays: \frac{x+10}{5}. We already know the amount they each paid, as it is given as $9.50. Both expressions represent the same thing, do we can set them equal to each other:

9.5 = \frac{x+10}{5}

Now, we can solve.

First, we can multiply by 5 on both sides to get:

47.5 = x + 10

And then subtract 10:

x = 37.5

This means the bill before the tip was $37.50

4 0
3 years ago
$1,000 is taken out of a bank vault each day and noting is added back. Which models the situation, linear equation with a positi
Lorico [155]
Linear equation with a negative rate of change because the balance would decrease by the same amount each day.
7 0
3 years ago
Find the exact volume
LUCKY_DIMON [66]
The formula for the volume of a cone is:

\pi  r^{2} h
To solve, we input your numbers of 1.5 radius and 23 height (radius is diameter divided in half)
Your answer is 162.58

7 0
3 years ago
Read 2 more answers
Which of the following represents a geometric series <br> 2+6+18<br> 2,6,10<br> 2+6+10+<br> 2,6,18
quester [9]

good morning,

Answer:

2,6,18

Step-by-step explanation:

6/2=3 and 18/6=3 then 2,6,18 represent a geometric series.

6/2=3 and 10/6≠3 then 2,6,10 doesn’t represent a Géométric series.

:)

3 0
3 years ago
Given that y = sin(x+y),find the derivative when (x,y)=(π,0)​
lisov135 [29]
<h2>Answer:</h2>

Shown in the explanation

<h2>Step-by-step explanation:</h2>

Recall that an implicit function is a relation given by the form:

{\displaystyle R(x_{1},\ldots, x_{n})=0}

Where R is a function of two or more variables. In this case, that function is:

y = sin(x+y)

and is implicit because we can define it as:

y-sin(x+y)=0 having two variables.

So, let's take the derivative:

\frac{d}{dx}\left(y\right)=\frac{d}{dx}\left(\sin \left(x+y\right)\right) \\ \\

Applying chain rule:

\frac{d}{dx}\left(\sin \left(x+y\right)\right)=\cos \left(x+y\right)\left(1+\frac{d}{dx}\left(y\right)\right)

But:

\frac{d}{dx}\left(y\right)=y'

Therefore:

y'=\cos \left(x+y\right)\left(1+y'\right)

Isolating y':

\frac{d}{dx}\left(y\right)=y'=\frac{\cos \left(x+y\right)}{1-\cos \left(x+y\right)}

When (x,y)=(\pi,0):

\frac{d}{dx}\left(y\right)|_{(\pi,0)}=\frac{\cos \left(\pi+0\right)}{1-\cos \left(\pi+0\right)} \\ \\ \frac{d}{dx}\left(y\right)|_{(\pi,0)}=\frac{\cos \left(\pi\right)}{1-\cos \left(\pi\right)} \\ \\ \frac{d}{dx}\left(y\right)|_{(\pi,0)}=\frac{-1}{1-(-1)} \\ \\ \boxed{\frac{d}{dx}\left(y\right)|_{(\pi,0)}=-\frac{1}{2}}

4 0
3 years ago
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