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

calculate the area of a triangle

Answers

Answer:

Area of triangle formula is ;

[tex] \frac{1}{2} bh[/tex]

if a sphere has radius of 13 centimeters what is the volume

Answers

The answer is 8788pi/3 Hope this helps! Mark brainly please!

Peterson Packaging Inc. does not currently pay dividends. The company will start with a ​$0.70 dividend at the end of year three and grow it by 10​% for each of the next six years. After six years of​ growth, it will fix its dividend at ​$1.36 forever. If you want a 15​% return on this​ stock, what should you pay today given this future dividend​ stream?

Answers

$1.40 because I think so

When a baby Giraffe was born it weight 150 Pounds over the next 5 years it gained Equal amounts of weight each year. The Giraffe now weight 675 pounds. How much was the weight gain per year?

Answers

Answer:

135 per year because 675 ➗ 5 = 135

Two lines, A and B, are represented by the following equations:

Line A: 2x + y = 6
Line B: x + y = 4

Which statement is true about the solution to the set of equations? (4 points)

a It is (2, 2).

b There are infinitely many solutions.

c It is (4, 0).

d There is no solution.

Answers

Answer:

The answer is B! if you want to do more of these problems may I recommend using Desmos?

Answer:

It is (2, 2).

Step-by-step explanation:

a maintence worker is replacing worn rope on 6 flagpoles.The worker needs 40 feet of rope for each flagpole.At the hardware store,rope is sold by the yard.how many yards of rope does the worker need to buy for all flagpoles

Answers

Answer: 80

Step-by-step explanation:

Do 6 x 40=240 to find the amount of rope needed in ft

Do 240 divided by 3 to convert to yards

Use the distributive property to simplify 3 + 5c(2 + 6c) completely.​

Answers

Answer:

Distributive property says that:

(A + B)*C = A*C + B*C

Now let's try to use it in our expression:

3 + 5*c*(2 + 6*c)

Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:

3 + (5*c)*2 + (5*c)*(6*c)

Now remember that the multiplications are associative and commutative, then we can write this as:

3 + (2*5)*c + (5*6)*(c*c)

3 + 10*c + 30*c^2

And we can't simplify it anymore.

Can someone please help I really need the answer I give anyone a brainliest
Quadratic vs Exponential Functions
X
- 1000000x y-2
0
1
0
1
1000000
2
2
4000000
4
3
9000000
8
4
16
5
32
16000000
25000000
36000000
49000000
6
64
7
128
Question:
The table shows the behavior of a quadratic and an exponential function near the origin
A. Which function is growing more rapidly?
B. Between which X-values does the table indicate that the functions graphs have crossed?
C. Will the functions graphs ever intersect again? Can you prove this?
1)

Answers

Answer:

A) The first function (the quadratic one) is growing more rapidly.

B) Between x=0 and x=1.

C) We can assume that they don't intersect again.

Step-by-step explanation:

A)

The first function (the quadratic one) is growing more rapidly. We can see this because the difference between its y values is so much greater than the difference between the y values for the exponential function.

B)

Between x=0 and x=1. When functions intersect, their y and x values are equal. The y-values are equal at some point over x=0 and x=1 because they both cross over the same range (y=1 and y=2)

C)

We can assume that they don't intersect again because the y-values for the exponential equation will never reach the corresponding values for the quadratic equation; it simply isn't growing rapidly enough.

the equation is (9+6)+4=(5+ blank)+4​

Answers

10 is your answer!! hope this helps

Answer:

10

Step-by-step explanation:

(9 + 6) + 4 = (5 + x) + 4

15 + 4 = 5 + x + 4

19 = x + 9

19 - 9 = x

10 = x

Question 2(3 - 3x) = -18

Answers

Answer:

x=4

Step-by-step explanation:

1. Rearrange terms

[tex]2(-3x+3)=-18[/tex]

2. Distribute

[tex]-6x+6=-18[/tex]

3. Subtract 6 from both sides of the equation

[tex]-6x+6-6=-18-6[/tex]

4. Simplify by subtracting the numbers

[tex]-6x + 6-6=-18-6[/tex]

[tex]-6x=-18-6[/tex]

[tex]-6x=-24[/tex]

5. Divide both sides of the equation by the same factor

[tex]\frac{-6x}{-6} = \frac{-24}{-6}[/tex]

6. Simplify

a) Simplify the fraction

[tex]\frac{-6x}{-6} = \frac{-24}{-6}[/tex]

[tex]x = \frac{-24}{-6}[/tex]

b) Divide the numbers

[tex]x=+4[/tex]

7. Remove the postive sign.

[tex]x=4[/tex]

X=4 hope this helps you

6. A cylindrical oatmeal canister has a diameter of 4 inches and a hight of 10 inches. The manufac-
turing company wants to package the oatmeal in square containers to cut back on wasted storage
space. If the new carton has a square base with 4 inch sides, what is the minimum height it must have,
to the nearest % inch, to hold the same volume of oatmeal? Use 3.14 for the value of T.
a. 7 3/4 inches
b. 8 inches
c. 8 1/4 inches
d. 8 1/2 inches
e. 8 3/4 inches

Answers

The minimum height the square containers should have is 8 inches.

What should be the minimum height the square containers ?

The first step is to determine the volume of the cylindrical oatmeal canister.

Volume = 1/3πr²h

Where:

π = 3.14

r = radius 4/2 = 2

3.14 x 2² x 10 = 125.6

Now, determine the minimum height of the square box.

Height = volume of the cannister / (area of the base)

125.6 / (4 x 4) = 7.85 = 8 inches

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A local car dealership currently has 36 used GM, Food, and Toyota vehicles on the lot that are cars or turcks. Inventory shows the following: 26 vehicles are cars, 10 are trucks, 11 vehicles are GM's, 15 vehicles are Fords. Three vehicles are Toyota trucks and 14 vehicles are Ford cars. What is the probability that a randomly selected vehicle is either a Ford or a car

Answers

Answer:

P (F or C)  = 27/36= 0.75

Step-by-step explanation:

There are 36 vehicles in all.

There are total 26 cars.

There are total Ford vehicles which are 15 in number out of which 14 are cars. The results can be summarized as follows.

                           Cars                   Trucks            Total Vehicles

Ford                           14                           1                      15

Toyota                      7                              3                     10

Gm                            5                              6                     11                    

Total                        26                            10                     36      

As the events are composite

The probability of randomly selecting vehicle is either a Ford or a car is given by  P (F or C) = P(F) + P(c)- P(FC)

where P(F) is the probability of the Ford car and P (C) is the probability of the car.

P(F)= 15/ 36

P(C)= 26/36

P(FC)= 14/36

This is the additive rule applied for composite events.

P (F or C) = P(F) + P(c)- P(FC)

             = 15/36 + 26/36- 14/36

                = 27/36=0.75

What is the square root of 63 expanded?

Answers

Answer:

the square root of 32 times square root of 7 equals the square root of 32 times square root of 7 equals 3 times square root of 7

Step-by-step explanation:

im a mathaholic :0

A Box Contain 2 yellow and 3 blue
Cards in how many ways Can 3 Cards
be selected if
(a) If at least 1 card must be yellow
(b) If at least 1 Card must be blue

pls show your Woking​

Answers

Answer:

2/5= yellow

3/5= blue

Step-by-step explanation:

total cards= 2(yellow) + 3 (blue)

=5 cards total

probability for drawing yellow card= 2/5

probability for drawing blue card= 3/5

Step-by-step explanation:

a)2:5

2/5x100=40%

b)3:5

3/5x100=60%

i don't what U want so, I hope it'll help U

The 8 in 429.86 has ___________ the value of the 8 in 321.58

Answers

Answer:

more than

Step-by-step explanation:

The 8 in 429.86 is nearest because is 80/100 while the 8 in 321.58 is  8/100

9 pt = How much fl oz

Answers

Answer:

9 pints would equal 144 ounces

Step-by-step explanation:

Pints

The US liquid pint is a unit of fluid volume equal to one-eighth of a gallon, one-half of a quart, or two cups. The liquid pint should not be confused with the dry pint (US) or the imperial pint, which are different units.

The pint is a US customary unit of volume. Pints can be abbreviated as pt; for example, 1 pint can be written as 1 pt.

Fluid Ounces

The US fluid ounce is a unit of volume equal to 1/16 of a pint or 1/8 of a cup. The fluid ounce is sometimes referred to as an "ounce" but should not be confused with the unit of mass. One fluid ounce is equal to just under 29.6 milliliters, but in nutrition labeling, one fluid ounce is rounded to exactly 30 milliliters.[1]

The fluid ounce is a US customary unit of volume. Fluid ounces can be abbreviated as fl oz, and are also sometimes abbreviated as fl. oz. or oz. fl.. For example, 1 fluid ounce can be written as 1 fl oz, 1 fl. oz., or 1 oz. fl..

Pint to Fluid Ounce Conversion Table

Pint measurements converted to fluid ounces

Pints Fluid Ounces

1 pt 16 fl oz

2 pt 32 fl oz

3 pt 48 fl oz

4 pt 64 fl oz

5 pt 80 fl oz

6 pt 96 fl oz

7 pt 112 fl oz

8 pt 128 fl oz

9 pt 144 fl oz

10 pt 160 fl oz

11 pt 176 fl oz

12 pt 192 fl oz

13 pt 208 fl oz

14 pt 224 fl oz

15 pt 240 fl oz

16 pt 256 fl oz

17 pt 272 fl oz

18 pt 288 fl oz

19 pt 304 fl oz

20 pt 320 fl oz

21 pt 336 fl oz

22 pt 352 fl oz

23 pt 368 fl oz

24 pt 384 fl oz

25 pt 400 fl oz

26 pt 416 fl oz

27 pt 432 fl oz

28 pt 448 fl oz

29 pt 464 fl oz

30 pt 480 fl oz

31 pt 496 fl oz

32 pt 512 fl oz

33 pt 528 fl oz

34 pt 544 fl oz

35 pt 560 fl oz

36 pt 576 fl oz

37 pt 592 fl oz

38 pt 608 fl oz

39 pt 624 fl oz

40 pt 640 fl oz

Please don't report this. :(

Sean arrives at quater to 7 dinner starts at 6:30 is sean early or late for dinner

Answers

Answer:

Sean is late for dinner.

Step-by-step explanation:

A quarter to 7 is 6:45 so he is 15 minutes late to the dinner.

If Sean arrives at quarter to 7 (which means 6:45), he is 15 minutes late for dinner, as dinner started at 6:30.

What is time estimation?

When we say that Sean arrived at quarter to 7, it means that he arrived at 6:45, because a quarter of an hour is equivalent to 15 minutes. We can then compare this time to the time that dinner started, which is 6:30.

If Sean arrived at or before 6:30, he would be considered early for dinner. However, since he arrived at 6:45, he is 15 minutes late for dinner. This means that dinner has already started and he has missed the beginning of the meal.

In general, it is considered polite and respectful to arrive on time for a dinner invitation or any other social event. If you are going to be late, it's always a good idea to let your host know so they can adjust their plans accordingly.

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Help 15 pts good luck

Answers

I’m not sure sorry....

the picture has the question

Answers

The Last One
CD has a diameter of F

A quality control inspector has drawn a sample of 11 light bulbs from a recent production lot. Suppose 20% of the bulbs in the lot are defective. What is the probability that less than 7, but more than 4 bulbs from the sample are defective

Answers

Answer:

0.04845

Step-by-step explanation:

Probability that less than 7 but more than 4 bulbs from the sample are defective :

P(4 < X < 7) = P(x = 5) + P(x = 6)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

From the question :

p = 0.2 ; 1 - p = 0.8 ; n = 11

P(x =5) = 11C5 * 0.2^5 * 0.8^6 = 0.03876

P(x = 6) = 11C6 * 0.2^6 * 0.8^5 = 0.00969

P(4 < X < 7) = P(x = 5) + P(x = 6)

P(4 < X < 7) = 0.03876 + 0.00969

P(4 < X < 7) = 0.04845

No Links Please!


In the xy-plane, the midpoint M of segment AB has coordinates (-1, 3).
And point A has coordinates (-3,0). What is the x-coordinate of point B?


O -1

O 1

O 2

O 3

Answers

So the midpoint coordinates=((xA+xB/2),(yA+yB/2))
so (xA+xB)/2=xM
Sub in (-3+xB)/2=-1
Rearrange xB=(-1x2)+3
And solve xB=1 so the answer is one :)

What is the value of the expression below? 7/10÷3/8
A.21/80
B.1 13/15
C.3 17/21
D.15/28

Answers

7/10 divided by 3/8

7/10 x 8/3 = 56/30
56/30 divided by 2 = 28/15 = 1 13/15

The answer is B. 1 13/15

What is the area of the figure? I give brainliest! :)

Answers

Answer: I think it is 142

Step-by-step explanation:

91 + 51 = 142

Look at the pattern below. Which fraction would complete the pattern?
1/4, 2/8, ___, 4/12.
answer
A. 3/12
B. 3/14
C. 3/9
D. 3/15​

Answers

The answer is: A. 3/12

Rearrange the equation so uuu is the independent variable.
-12u+13=8w-3

Answers

Step-by-step explanation:

[tex] - 12u + 13 = 8w - 3 \\ - 12u + 13 + 3 = 8w \\ - 12u + 16 = 8w \\ w = \frac{ - 12u + 16}{8} \\ w = \frac{ - 3}{2} u + 2[/tex]

I hope that is useful for you :)

Tim played soccer for 55 minutes this afternoon. He started at 3:20. What time did he finish?

Answers

4:15 he finished at 4:15

Harry manages a sales force which sells several products in different sales territories. A random sample of 25 territories were selected and the data is provided in an Excel worksheet labelled Harrys. The variables include total sales credited to the sales representative (Sales), the length of time employed in months (time), the market potential (Poten), the advertising expense for the territory (AdvExp), the market share (Share), the change in market share over the previous three years (Change), the number accounts assigned to the sales representative (accounts), an index representing the workload (work), the rating on the last performance review (rating) and whether it is a star territory (star territories have performed well in the past).
Using the methods discussed in this class, determine the “best” regression model to predict Sales. Write a brief report (less than two pages) summarizing your analysis, including key statistical results, conclusions, and recommendations. Include any appropriate technical material in an appendix.

Answers

Answer:

13,000 i think

Step-by-step explanation:

How many triangles can be constructed with side lengths 5, 6, and 9?

None

One

More than one

Answers

9514 1404 393

Answer:

  (b)  One

Step-by-step explanation:

Specifying the three sides also specifies the angles. Only one such triangle can be made.

Answer:

it is only possible to make one triangle

Step-by-step explanation:

If your weekly salary is $1780 and taxes takes out $440, then what percent do you pay in taxes?
Round your answer to 1 decimal place.

Answers

Answer:

24.7

Step-by-step explanation:

If your weekly salary is $1780 and taxes takes out $440, then 24.7% you pay in taxes.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that the weekly salary is One thousand seven hundred and eighty $1780.

Taxes takes out is four hundred and forty $440.

We need to find the percent of tax we have paid.

This can be found by as below.

1780x=440

Divide both sides by 1780

x=440/1780

x=0.247

Now multiply with 100 as it is a hundredth part

0.247×100=24.7%

Hence, 24.7% is the percentage of tax we have paid.

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Use the circle below.
a. What appear to be the minor arcs of OL?
b. What appear to be the semicircles of OL?
c. What appear to be the major arcs of OL that contain point K?

Answers

Answer:

a. IH and JK

b. IK and HJ

c. HK

Step-by-step explanation:

IH and JK are the minor arcs because the other arcs (IJ and HK) are major arcs. They (IH and JK) are minor arcs because they are acute angle and the other arcs are Obtuse.

IK and HJ are semicircles because they are two points that is forming a line between the circle. two points that are connected, is already a semicircle.

HK is a major arc because it's central angle is obtuse.

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