1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Finger [1]
3 years ago
12

William buys a book for $14.85. If he pays with a $20 bill, what will his change c be? Write an equation.

Mathematics
1 answer:
butalik [34]3 years ago
4 0
<h3>Answer:  14.85 + c = 20</h3>

============================================================

Reason:

To compute the change, we subtract the amount William gives the cashier (the $20) and the price of the book ($14.85)

The change c is

c = 20-14.85

To rearrange this equation, we can add 14.85 to both sides to end up with 14.85 + c = 20

In other words, solving that equation in bold leads to c = 20-14.85 = 5.15 which is the change William is given.

----------------

Extra info (optional section)

If the cashier wanted to mentally figure out the change in his/her head, then notice the jump from 85 cents to 100 cents is 15 cents. That means we go from 14.85 to 15.00

Then the jump from $15 to $20 is an extra 5 dollars. Overall, the total change given back to William is 0.15+5 = 5.15 dollars.

You might be interested in
A gas is said to be compressed adiabatically if there is no gain or loss of heat. When such a gas is diatomic (has two atoms per
Tems11 [23]

Answer:

The pressure is changing at \frac{dP}{dt}=3.68

Step-by-step explanation:

Suppose we have two quantities, which are connected to each other and both changing with time. A related rate problem is a problem in which we know the rate of change of one of the quantities and want to find the rate of change of the other quantity.

We know that the volume is decreasing at the rate of \frac{dV}{dt}=-4 \:{\frac{cm^3}{min}} and we want to find at what rate is the pressure changing.

The equation that model this situation is

PV^{1.4}=k

Differentiate both sides with respect to time t.

\frac{d}{dt}(PV^{1.4})= \frac{d}{dt}k\\

The Product rule tells us how to differentiate expressions that are the product of two other, more basic, expressions:

\frac{d}{{dx}}\left( {f\left( x \right)g\left( x \right)} \right) = f\left( x \right)\frac{d}{{dx}}g\left( x \right) + \frac{d}{{dx}}f\left( x \right)g\left( x \right)

Apply this rule to our expression we get

V^{1.4}\cdot \frac{dP}{dt}+1.4\cdot P \cdot V^{0.4} \cdot \frac{dV}{dt}=0

Solve for \frac{dP}{dt}

V^{1.4}\cdot \frac{dP}{dt}=-1.4\cdot P \cdot V^{0.4} \cdot \frac{dV}{dt}\\\\\frac{dP}{dt}=\frac{-1.4\cdot P \cdot V^{0.4} \cdot \frac{dV}{dt}}{V^{1.4}} \\\\\frac{dP}{dt}=\frac{-1.4\cdot P \cdot \frac{dV}{dt}}{V}}

when P = 23 kg/cm2, V = 35 cm3, and \frac{dV}{dt}=-4 \:{\frac{cm^3}{min}} this becomes

\frac{dP}{dt}=\frac{-1.4\cdot P \cdot \frac{dV}{dt}}{V}}\\\\\frac{dP}{dt}=\frac{-1.4\cdot 23 \cdot -4}{35}}\\\\\frac{dP}{dt}=3.68

The pressure is changing at \frac{dP}{dt}=3.68.

7 0
3 years ago
Can someone help?
babymother [125]

Answer:

  • 0, 3, 8, 15, 24
  • y = x² + 2x

Step-by-step explanation:

<u>The pattern is</u>

  • Step 1  ⇒ 1*3 = 3
  • Step 2 ⇒ 2*4 = 8
  • Step 3 ⇒ 3*5 = 15

<u>Next step would be</u>

  • Step 4 ⇒ 4*6 = 24

<u>Step zero would be</u>

  • Step 0 ⇒ 0*2 = 0

<u>The equation</u>

  • y = x(x + 2) = x² + 2x
6 0
3 years ago
Read 2 more answers
HELP ME PLEASE I NEED HELP WITH THIS
fenix001 [56]

Answer:

V = 82,406.16 cm³

Step-by-step explanation:

Volume of a sphere

V = 4πr³/3

V = 4•3.14•27³/3

V = 247,218.48/3

V = 82,406.16 cm³

6 0
2 years ago
Number 8 please it will help a lot
pickupchik [31]
Well it all depends on the object you are using but in this case lets say remote control cars. You can have an example like "we drove the car around the building twice. the first time it was -8 than how fast it was supposed to go. the second time it was 9. In which round was the car faster?" I dont think i helped very much but i hope i did


5 0
3 years ago
What is the value of x^2 divided by y^4 when x=8 and y=2
7nadin3 [17]

Answer:

4

Step-by-step explanation:

64/16=4

7 0
3 years ago
Other questions:
  • What are the domain, range, and asymptote of h(x) = 2x + 4?
    10·1 answer
  • What is another way to write to 72 – (–25)?
    9·2 answers
  • Find an equation of the line that (
    5·1 answer
  • Use completing the square to solve for x in the equation (x-12)(x+4)= 9.
    8·1 answer
  • a contractor digs a hole that is 40 ft long and 10.5 feet deep. what is the width of the hole if 6,510 cubic feet of dirt is rem
    15·1 answer
  • Complete the following with the appropriate symbol
    7·1 answer
  • Find the value of x.<br> to<br> 4<br> 42°<br> 60°<br> -
    13·1 answer
  • Aldo spends $14 each time he travels the toll roads. He started the month with $224 in his toll road account. The amount, A
    9·1 answer
  • Questlon 5 of 30
    8·1 answer
  • Lynn has scores of 95, 91, and 88 on three tests. Write and solve an equation to find
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!