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
Jet001 [13]
3 years ago
9

How can you use equations to model problems about unknown numbers?

Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0

To set up or model a linear equation to fit a real-world application, we must first determine the known quantities and define the unknown quantity as a variable. Then, we begin to interpret the words as mathematical expressions using mathematical symbols. Let us use the car rental example above. In this case, a known cost, such as $0.10/mi, is multiplied by an unknown quantity, the number of miles driven. Therefore, we can write

0.10

x

. This expression represents a variable cost because it changes according to the number of miles driven.

If a quantity is independent of a variable, we usually just add or subtract it according to the problem. As these amounts do not change, we call them fixed costs. Consider a car rental agency that charges $0.10/mi plus a daily fee of $50. We can use these quantities to model an equation that can be used to find the daily car rental cost

C

.

C

=

0.10

x

+

50

When dealing with real-world applications, there are certain expressions that we can translate directly into math. The table lists some common verbal expressions and their equivalent mathematical expressions.

You might be interested in
Can someone help me with this math homework please!
Daniel [21]

Answer:

1st, 2nd and 6th options

Step-by-step explanation:

Given

\frac{2}{3} - x + \frac{1}{6} = 6x ( multiply through by 6 to clear the fractions )

4 - 6x + 1 = 36x ← option 1 will have the same solution set

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

Adding the 2 fractions on the left side gives

\frac{4}{6} +\frac{1}{6} - x = 6x , that is

\frac{5}{6} - x = 6x ← option 2 will have the same solution set

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

From

4 - 6x + 1 = 36x ( add 6x to both sides )

5 = 42x ← option 6 will have the same solution set

8 0
2 years ago
Từ điểm A ở ngoài (O) kẻ các tiếp tuyến AB, AC với đường tròn (B và C là các tiếp điểm), BC cắt OA tại D, trên cung nhỏ BC lấy E
Neko [114]
I don’t understand what is that
4 0
2 years ago
Find the measures of a positive angle and a negative angle that are coterminal with each given angle
seraphim [82]

Answer:

Why was Mrs Hallette unhappy when people asked about her son?

Step-by-step explanation:

4 0
3 years ago
17. Mrs. Marshall baked 120 cookies. She decided
agasfer [191]

Answer:

20 cookies

Step-by-step explanation:

120*6=20

20 = 1/6 of 120

8 0
3 years ago
If A= (7,9) and B= (3,12) what is the length of AB?
MissTica
The length can be found using the Pythagorean Theorem...

c^2=a^2+b^2 and in this case:

d^2=(dx^2)+(dy^2)

d^2=(3-7)^2+(12-9)^2

d^2=-4^2+3^2

d^2=16+9

d^2=25

d=5 

So the length of AB=5 units.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Event A has a 0.3 probability of occuring and event B has a 0.4 probability of occuring. A and B are independent events. What is
    13·2 answers
  • The quote for GBP/USD is listed as 1.5869/76 as shown. How many U.S. dollars does it cost to buy 1 British pound?
    8·2 answers
  • I can use some help guys I don’t want to fail pleaseee help greatly appreciated
    12·2 answers
  • what is the volume of a rectangular prism that has a length of 8.5 centimeters (cm), a width of 3.2 centimeters, and a height of
    8·1 answer
  • DETERMINE THE MISSING SIDE
    7·1 answer
  • A function, f(x), represents the distance a car travels over time. The line tangent to the function at x=1 is y=0.6x+0.9. The li
    9·1 answer
  • How many solutions are there to the following system of equations?<br> -3y = -2x - 6<br> 3 = x
    12·2 answers
  • Help a brother out pls
    10·1 answer
  • Self explanatory solve porfavor
    5·1 answer
  • 9. Find the measure of arc UPT.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!