When creating equations for our word problems, we must remember to...

A. write all equations in slope-intercept form.

B. make sure all equations are in the same form.

C. define all variables.

Answers

Answer 1

9514 1404 393

Answer:

  C.  define all variables

Step-by-step explanation:

Equations for word problems will depend on the problem. Not all of the equations will be linear equations. Even if they are, they are not necessarily easily written in any particular form, or easily solved when they are written in that form. The nature of the equations will depend on the problem.

One thing that must be done in any case is define all variables. It is usually a good idea to define the units of the variable(s) as well. Sometimes problems are posed with numbers in incompatible dimensions, or they may ask for an answer in dimensions different from those used in the given information. In order to avoid confusion and to be sure you have the desired answer, you need to make sure the variables and their dimensions are compatible with the solution process.


Related Questions

quien es el padre de la administración?

Answers

Answer:

Frederick Winslow Taylor

Step-by-step explanation:

Los ángulos de elevación hacia un
avión se miden desde la parte superior y la base de
un edificio que tiene 20 m de altura. El ángulo desde
la azotea es de 38°, y desde la base es de 40°.
Calcule la altitud del avión​

Answers

A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.

¿Cómo hallar la altitud del avión con respecto al suelo?

A partir del enunciado se construye un sistema geométrico formado por el triángulo obtusángulo. Con base en la información disponible, se determina las longitudes faltantes del triángulo:

[tex]\frac{20\,m}{\sin 2^{\circ}} = \frac{r_{1}}{\sin 128^{\circ}} = \frac{r_{2}}{\sin 50^{\circ}}[/tex]     (1)

Los lados faltantes son r₁ ≈ 451.589 m and r₂ ≈ 439 m. Finalmente, la altitud del avión se obtiene mediante la siguiente relación trigonométrica:

h = r₁ · sin 40°     (2)

h = (451.589 m) · sin 40°

h ≈ 290.276 m

A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.

Para aprender más sobre relaciones trigonométricas: https://brainly.com/question/22962732

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Which sign makes this number sentence true?

|866| __ |-866|
A. >
B. <
C. =
D. +

Answers

Answer:

>

Step-by-step explanation:

Answer:

c for me

Step-by-step explanation:

hope that helps you

Q:An athlete throws her javelin 9.5 yards. She throws it this distance 2 times. How far does she throw the javelin in total?
18.5 yd
19 yd
19.5 yd
20 yd

Answers

The answer is 19 yds!

Answer: 19 yd

Step-by-step explanation:

hope this helped. :)

A store sells nine types of cell phones. There are four colors of each type.
How many different options does a customer have when buying a cell phone at the store? HELP

Answers

Answer:

36

Step-by-step explanation:

nine times 4 is 36 making it 36 options to choose from

hope this helps! :)

Kei buys a table and 12 chairs. Each chair cost the same price. The table cost $165. The total cost for the table and 12 chairs is $ 465. What is the cost of one chair?

Answers

Answer:

$38.75

Step-by-step explanation:

$465/12=$38.75

Suppose Charli D'Amelio posted 40 dance videos to TikTok. If 65% of the videos have her making up her own moves, how many of the dance videos do not have her making up her own moves?

Answers

100-65=35%
0.4x35=14
So 14 would not be her own moves.

Step-by-step explanation:

[tex]40 - (40 \div 100 \times 65) = \\ = 40 - (0.4 \times 65) = \\ = 40 - 26 = \\ = 14[/tex]



The function f(x) models the value of imported goods into the United States, and the function g(x) models the value of exported

goods from the United States, where x is the number of years since 1990.


Which statements are correct?

A) g(x) appears to be a linear function

B) f(x) appears to be an exponential function


C)Exports increase more quickly around the year 2041


D) Exports eventually exceed imports from the united States


E) A quantity increasing exponentially eventually exceeds a quantity

increasing linearly

Answers

Answer:

C, D, E

Step-by-step explanation:

I did the USATESTPREP

LAST ONEEE YAYYYYYYY

Answers

Answer:

80

Step-by-step explanation:

180 - 100 = 80. 180º is required for a straight line, and 100º have already been shown from the other angles. x = 80

80 because gsjakoaaugsnejwi

If A is an event that will never happen, then P(A)=​

Answers

Answer:

0

Step-by-step explanation:

If A is an event that will never happen, then P(A)=​0

Find the measurement indicated. Round to the nearest tenth.​

Answers

9514 1404 393

Answer:

22.015.030.0°137.0°

Step-by-step explanation:

These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...

  c² = a² +b² -2ab·cos(C)

The square root of this gives the side length:

  c = √(a² +b² -2ab·cos(C))

Rearranging the equation, we can obtain an expression for the angle C.

  C = arccos((a² +b² -c²)/(2ab))

These two formulas are used to solve the offered problems.

__

1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506

  AC ≈ 22.0

__

2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249

  BC ≈ 15.0

__

3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)

  ∠B ≈ 30.0°

__

4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)

  ∠B ≈ 137.0°

In a lottery game, three winning numbers are chosen uniformly at random from {1...100}, sampling without replacement. Lottery tickets cost $1 and allow a player to pick 3 numbers. If a player matches the three winning numbers they win the jackpot prize of $1,000. For matching exactly two numbers, they win $15. For matching exactly one number they win $3.

Required:
Find the distribution of net winnings for a random lottery ticket. Show that the expected value of the game is -70.8 cents.

Answers

Two ways to increase the statistical power of an experiment
Each increases the probability of determining a real effect of the independent variable:
Increase the sample size: Power is.

Which statement is true about the solution to ?

The solution is x = –1 because .
The solution is x = 1 because .
The solution is x = 0 because .
There are no real number solutions to this equation.

Answers

Answer: correct

Step-by-step explanation: The solution is x = –1 because .

The solution is x = 1 because .

The solution is x = 0 because .

There are no real number solutions to this equation.

Answer: There are no real number solutions to this equation.

Find the mean, median, mode, and the range. The picture is for number 12 to 15



1. 6, 9, 2, 4, 3, 6, 5


2. 453, 345, 543, 345, 534


3. 8, 2, 9, 4, 6, 8, 5


4. 1, 15, 9, 12, 18, 9, 5, 14, 7


5. 3, 9, 4, 3, 9, 4, 2, 3, 8


6. 157, 124, 157, 124, 157, 139


Use the picture above to answer the exercise 12 to 15

12. What is the mode?

13. What is the median?

14. What is the mean?

15. If the price of swimming lessons went up to six dollars would it change the

a. Mode?

B. Median?

C mean?

D. Range?



Answers

Answer:

1)

mean - 5

median - 5

mode - 6

range - 7

2)

mean - 444

median - 453

mode - 345

range - 198

3)

mean - 6

median - 6

mode - 8

range - 7

4)

mean - 10

median - 9

mode - 9

range - 17

5)

mean - 5

median - 4

mode - 3

range - 7

6)

mean - 143

median - 148

mode - 157

range - 33

12) 9

13) 10

14) 10, 5

15)

If the price of swimming lessons went up to mean and mode would change.

mean - 9.66666667 (9.6 repeating)

median - 10

mode - 10

range - 13

5 cm
1 cm
1 cm
2 cm
4 CM
The perimeter of this shape is


13 cm
18 cm
20 cm
22 cm

Answers

Answer:

the perimeter of the shape is 13cm

Step-by-step explanation:

Perimeter is the distance round a shape. As for polygons perimeter is the sum of all the sides. In this polygon, the sum of all the sides is 5cm + 1cm + 1cm + 2cm + 4cm which is equal to 13cm


You are cutting pieces of fabric for a craft project. You need three pieces that measure 6 2/3 inches, 4 1/2inches, and 3 5/8inches.
What is the total length of fabric that you need ?

Answers

Answer:

Step-by-step explanation:

14/19/24

If a complete graph represents the road network in a country, it would be advantageous for that country in the even that an infectious disease hits one of the towns on the road network. Yes, it would be advantageous No, it would not be advantageous​

Answers

Answer:

everyone

Step-by-step explanation:

I need help please help

Answers

Answer:

B (340)

Step-by-step explanation:

Put this numbers from least to greatest.

A: 3.2, 0.67, 9, 1.78, 0.651.

please please please please please PLEASE please please please please please please please please please please help me.​

Answers

Answer:

0.651, 0.67, 1.79, 3.2, and 9

Step-by-step explanation:

Answer:

0.651. ,0.67 ,1.78 ,3.2 ,9

Step-by-step explanation:

well if your confused on 0.651 and 0.67 i personally may go for the first two unless if the questions longer

the volume of a solid triangular prism is 726 cubic centimeters. its height is 12 centimeters and its bases are congruent right isosceles triangles. find the lengths of the equal sides of each base.

Answers

9514 1404 393

Answer:

  11 cm

Step-by-step explanation:

The volume of the prism is given by the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height.

Filling in the given information, we find the area of the triangular base to be ...

  726 cm³ = B(12 cm)

  B = 726 cm³/(12 cm) = 60.5 cm²

The area of an isosceles right triangle is half the area of a square with the same side lengths:

  B = 1/2s²

  60.5 = 1/2s²

  s = √(2(60.5)) = √121 = 11

The length of each of the equal sides of the base is 11 cm.

In 2010, the population of a city was 25,000. The
population increased by 20% in each of the next three
years. If this rate of increase continues, what will be the
population of the city in 2015?

Answers

Answer:

43,200

Step-by-step explanation:

25,000x .20=5,000

30,000 x .20=6,000

36,000x.20=7,200

43,200x.20=8,640

51,840x.20=10,368

what is a grid with 4 quadrants and 2 axes?

Answers

Answer: The point at which the two axes intersect is called the origin. ... The intersecting x- and y-axes divide the coordinate plane into four sections. These four sections are called quadrants. Quadrants are named using the Roman numerals I, II, III, and IV beginning with the top right quadrant and moving counter clockwise.

Step-by-step explanation:

A grid with 4 quadrants and 2 axes is called as cartesian plane.

What is a cartesian plane?

The cartesian plane is defined as a two-dimensional coordinate plane, which is formed by the intersection of the x-axis and y-axis.

What is a grid?

A grid is a framework of spaced bars that are parallel to or cross each other.

Learn more about grid here

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There were 816 cars parked in the parking lot on Monday morning. At lunchtime 91 cars left the lot. After lunch, 135 cars came back to the parking lot. How many parking spots were left on Monday morning ?

Answers

Answer:

467

Step-by-step explanation:

There were a total 1327 parking lots.

Out of these 816 were taken in the morning, 91 cars left in the afternoon, while 135 came back after lunch.

So there are,

[tex]Cars left = 1327 - (816 - 91 + 135) \\\\ = 1327 - 860\\ = 467[/tex]

Thus, there are 467 parking spots left on Monday afternoon.  

Show work please and thanks

Answers

Answer and working out attached here. Hope it helps :)

What is the area of the polygon below?
A. 120 square units
9
10
B. 174 square units
16
C. 66 square units
12
D. 84 square units

Answers

Answer:

D

Step-by-step explanation:

12-9 = 3 square unit

10 x 3 = 30 square unit

9×6 = 54 square unit

54+30 = 84 square units

and thats the answer

The area of the polygon is 84 square units, option D is correct.

What is Area of Rectangle?

The area of Rectangle is length times of width.

The given polygon has two rectangles.

Area of rectangle with length 9 and width is 6 units

Area of rectangle 1 =9×6

=54 square inches

Now Area of rectangle with length 10 and width is 3 units

Area of rectangle 2 =10×3

=30 square inches

Total area = 54+30

=84 square units

Hence, the area of the polygon is 84 square units, option D is correct.

To learn more on Area click:

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3^x = 9x. What is the value of x?​

Answers

x = 3

[tex]3^{3} =[/tex] 3 x 3 x 3 = 27

9x = 9 x 3 = 27

Please help extremely important!!

Answers

Sorry I’m not sure...

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Figures are the same size and shape

which names apply to the number
48

integer
irrational
real
whole
rational​

Answers

Answer:

All except irrational apply to the number 48

Determine the missing factor in × 4.3 = 12.9

Answers

Answer: 3

Step-by-step explanation:

12.9/4.3 will give you the number it was multiplied by.

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