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3 years ago

When a barrel is 30% empty it

Mathematics

1 answer:

blondinia [14]3 years ago

5 0

Answer:

it is 70% full

Step-by-step explanation:

When it is 30 % empty it means it is 70% full

0.7x=0.3x+30

0.7x-0.3x=30

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What is the value of 4p-2 when p=8

3241004551 [841]

Answer: Hence, the value of expression is 30 when p = 8.

Step-by-step explanation:

Since we have given that

$4p-2$

and we have p = 8.

So, we substitute the value of p in the above expression.

so, it becomes,

$4(8)-2\\\\4\times 8-2\\\\=32-2\\\\=30$

Hence, the value of expression is 30 when p = 8.

3 0

4 years ago

For the following exercises, find the average rate of change of the functions from x = 1 to x =2.

VMariaS [17]

Answer:

For the function $f(x)=4 x-3$ the average rate change from x is equal 1 to x is equal 2 is 4 .

Step-by-step explanation:

A function is given f(x)=4x-3.

It is required to find the average rate change of the function from x is 1 to x is 2 . simplify.

Step 1 of 2

A function f(x)=4 x-3 is given.

Determine the function $f\left(x_{1}\right)$ by putting the value of x=1 in the given function.

$\begin{aligned}&f(1)=4(1)-3 \\&f(1)=1\end{aligned}$$$$f(1)=1$

Determine the function $f\left(x_{1}\right)$ by putting the value of x is 2 in the given function.

$\begin{aligned}&f(2)=4(2)-3 \\&f(2)=5\end{aligned}$

Step 2 of 2

According to the formula of average rate change of the equation $\frac{\Delta y}{\Delta x}=\frac{f\left(x_{2}\right)-f\left(x_{2}\right)}{x_{2}-x_{1}}$

Substitute the value of $f\left(x_{1}\right)$ with, $f\left(x_{1}\right)$ with $3, x_{2}$ with 2 and $x_{1}$ with 1 .

$\begin{aligned}&\frac{\Delta y}{\Delta x}=\frac{5-1}{1} \\&\frac{\Delta y}{\Delta x}=4\end{aligned}$

3 0

2 years ago

The amount Lin's sister earns at her part-time job is proportional to the number

jarptica [38.1K]

the equation framed in the form of y=kx is $y = 9.6(x)$ and , x as a function of y $x=\frac{1}{ 9.6}(y)$ .

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

Here we have , The amount Lin's sister earns at her part-time job is proportional to the number of hours she works. She earns $9.60 per hour. We need to find an equation in the form y=kx to describe this situation, where x represents the hours she works and y represents the dollars she earns.Is y a function of x . Also , Write an equation describing x as a function of y . Let's find out:

Here , Lin's sister earns $9.60 per hour . Let x represents the hours she works and y represents the dollars she earns . So , According to question following is the equation framed in the form of y=kx :

⇒ $y = 9.6(x)$

Yes, y is a function of x , as a straight line with a slope of 9.6

Now , x as a function of y :

⇒ $\frac{y}{ 9.6}=(x)$

⇒ $x=\frac{1}{ 9.6}(y)$

Therefore , the equation framed in the form of y=kx is $y = 9.6(x)$ and , x as a function of y $x=\frac{1}{ 9.6}(y)$ .

3 0

3 years ago

5y + 2(11 - 4y) = 82 + y<br> Help Needed Asap

ryzh [129]

Answer:

y=−15

Hope this helps! Please mark Brainliest!

4 0

4 years ago

Read 2 more answers

How much does the CEO earns?

melomori [17]

p = number of items sold (note: this is not the profit)

1 item sells for $855, so p items sell for 855p dollars

Subtract off the cost of 6780 and we have the expression 855p-6780 which is the profit for that given month.

Now plug in p = 250 because 250 items were sold in that given month

855*p - 6780 = 855*250 - 6780 = 206,970

The company earns $206,970 in profit for that month. Apply 15% to this value

15% of 206,970 = (15/100)*206,970 = 0.15*206,970 = 31,045.50

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Answer: $31,045.50 which is choice C

8 0

3 years ago

Read 2 more answers