What is a constraint in math? For what situations would they be useful?

Answers

Answer 1

Answer:

Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. ... Constraints then become necessary to allow the mathematical model to realistically represent the situation. hope this helps!

Step-by-step explanation:

Answer 2

Answer: Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. Constraints then become necessary to allow the mathematical model to realistically represent the situation


Related Questions

12. Bob thought of a number, added 5, multiplied
by 3 and took away 5 to give an answer of 10.
What was the starting number?

Answers

Answer:

0

Step-by-step explanation:

Say the number was x.

3(x+5)-5=10

3(x+5)=15

x+5=5

x=0

Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measerment he oringinaly planned for the lenth of the pool to be 40m but decided to change to 32 m if the lenth of the pool in his scsale drawing is 8 centimeters which statement about the change of scale is true

Answers

Answer:

The question is not complete, fortunately, I found a match:

Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measurement. he originally planned for the length of the pool to be 40 m but decided to change it to 32 m. if the length of the pool in his scale drawing is 8 cm, which statement about the change of scale is true?

one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.

one cm represented 40 m in the first scale, but now 1 cm represents 32 m in the second scale.

one cm represented 1 m in the first scale, but now 1 cm represents 5 ft in the second scale.

one cm represented 4 m in the first scale, but now 1 cm represents 5 m in the second scale.

answer:

one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.

Step-by-step explanation:

To calculate the scaling factor, we will divide the actual figure by the figure in the scale.

Before the change: 8cm in the drawing represents 40m

8cm ≡ 40m

∴ 1cm ≡ 40 ÷ 8 = 5m

∴ 1 cm represents 5m

After the change: 8cm in the drawing represents 32m

8cm ≡ 32m

∴ 1cm ≡ 32 ÷ 8 = 4

∴ 1cm represents 4m

Therefore, one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.

Answer:

It’s the first choice

Step-by-step explanation:

what is the common difference between successive terms in the sequence​

Answers

9,2.5,-4,-10.5,-17

Let's find the difference between two consecutive terms

2.5 - 9 = -6.5

-4 - 2.5 = -6.5

-10.5 - (-4) = -6.5

-17 -(-10.5) = -6.5

We can see that the common difference is -6.5

-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17

the common difference is negative because we subtract 6.5 to get the next term.

Answer:

The common difference between 9, 2.5, –4, –10.5, –17, ...

Is –6.5

Step-by-step explanation:

Because,

2.5 - 9 = -6.5

-4 - 2.5 = -6.5

-10.5 - (-4) = -6.5

-17 -(-10.5) = -6.5

We can see that the common difference is -6.5

-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17

the common difference is negative because we subtract 6.5 to get the next term.


Which equation shows the relationship between the
number of poles ordered, n, and the total cost, c?
A. c = 3n + 120
B. c = 4n + 180
C. c = 20n + 60
D. c = 40n

(NEED HELP ITS DUE TODAY)

Answers

honestly i think it’s (A.)

Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost? Describe the steps that you took to determine your answer.Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost? Describe the steps that you took to determine your answer.

Answers

Answer:

$3.6

Step-by-step explanation:

Given that 8 rolls cost $4.80

let us compute how much 1 roll will cost (that is the unit cost of a roll)

so  8 rolls cost $4.80

     1 roll will cost x

x= 4.8/8

x=$0.6

so the paper tower cost $0.6 per roll (this is the rate)

therefore 6 rolls will cost

=6*0.6

=$3.6

HELP ASAP
Jason has $2.25 worth of dimes and quarters. He has twice as many dimes as quarters. Determine the number of dimes and the number of quarters that Jason has.

Answers

Answer:

Step-by-step explanation:

let the number of dimes=x

and number of quarters=y

x=2y

0.10 x+0.25 y=2.25

or 10x+25y=225

divide by 5

2x+5y=45

2 ×2y+5y=45

4y+5y=45

9y=45

y=45/9=5

x=2y=2×5=10

Hence dimes=10

quarters=5

PLSS HELP DUE IN 4 MINS

Answers

Answer:

The inverse is 1/2x -1/2

Step-by-step explanation:

f(x) = 2x+1

y = 2x+1

Exchange x and y

x = 2y+1

Solve for y

Subtract 1

x-1 = 2y+1-1

x-1 =2y

Divide by 2

x/2 -1/2 = 2y/2

1/2x -1/2 = y

The inverse is 1/2x -1/2

Help please, I need this done as soon as possible

Answers

Answer:

b

Step-by-step explanation:

The Answer is B -6 hope this helps

given m<12 =121 and m<6 =75 find the measure of the missing angles

Answers

Answer:

a. m∠1 = 75°

b. m∠2 = 46°

c. m∠3 = 59°

d. m∠4 = 59°

e. m∠5 = 46°

f. m∠7 = 121°

g. m∠8 = 59°

h. m∠9 = 62°

i. m∠10 = 118°

j. m∠11 = 59°

k. m∠13 = 118°

i. m∠14 = 62°5

Example 5

m∠1 =78°

m∠2 = 102°

m∠3 = 59°

m∠4 = 102°

m∠5 =  38

m∠6 = 142°

m∠7 = 38°

m∠8 = 142°

m∠9 = 78°

m∠11 = 78°

m∠12 =  102°

m∠13 = 38°

m∠14 =  142°

Step-by-step explanation:

a. m∠1 ≅ m∠6 (Alternate angle theorem)

m∠1 = m∠6 = 75° (Definition of congruency)

m∠1 = 75°

b. m∠12 = m∠5 + m∠6 (Angle addition postulate/Corresponding angles)

m∠5 = 121° - 75° = 46°

m∠5 = 46°

m∠2 ≅ m∠5 (Alternate angle theorem)

m∠2 = m∠5 = 46° (Definition of congruency)

m∠2 = 46°

c. m∠3 = 180 - (m∠1 + m∠2) (Angle subtraction and sum of angles on a straight line)

m∠3 = 180 - (75 + 46) = 59°

m∠3 = 59°

d. m∠4 = 180 - (m∠1 + m∠5)

m∠4 = 180 - (75 + 46) = 59°

m∠4 = 59°

e. m∠12 = m∠5 + m∠6 (Angle addition postulate/Corresponding angles)

m∠5 = 121° - 75° = 46°

m∠5 = 46°

f. m∠7 = m∠12 = 121° (Alternate angle theorem)

m∠7 = 121°

g. m∠8 = 180 - m∠7 = 180 - 121 = 59°

m∠8 = 59°

h. m∠9 + m∠5 + m∠8 = 180 (The sum of the interior angles of a triangle)

m∠9 = 180 - (59 + 59) = 62°

m∠9 = 62°

i. m∠10 = 180 - m∠9 = 180 - 62 = 118°

m∠10 = 118°

j. m∠11 = m∠8 = 59°

m∠11 = 59°

k. m∠13 = m∠10 = 118°

m∠13 = 118°

i. m∠14 = m∠9 = 62°

m∠14 = 62°

Example 5

m∠5 = m∠7 = 38

m∠5 =  38°

m∠6 = 180 - 38 = 142°

m∠6 = 142°

m∠8 = m∠6 = 142°

m∠8 = 142°

m∠12 = m∠10 = 102°

m∠12 =  102°

m∠11 = 180 - m∠12 = 180 - 102 = 78°

m∠11 = 78°

m∠9 = m∠11 = 78°

m∠9 = 78°

m∠1 = m∠9 = 78°

m∠1 =78°

m∠3 = 78°

m∠2 = m∠4 = m∠10 = 102°

m∠13 = 360 - (m∠3 + m∠6 + m∠12) = 360 - (78 + 142 + 102) = 38°

m∠13 = 38°

m∠15 = 38°

m∠14 = m∠16 = 180 - m∠15 = 180 - 38° = 142°

m∠14 =  142°

m∠16 = 142°

PLZ HELP!! ALGEBRA! WILL GIVE U BRAINLIEST!

Answers

Answer:

a. -21 b. 14

Step-by-step explanation:

For a, -3x4=-12, and then -12-9=-21. For b, -1/3x-3=1, and then 1+13=14. Hope it helps!

Answer: A.) -21

               B.) 14

Step-by-step explanation:

f(-3)=x

A.) f(-3) = 4(-3) - 9

           = -12-9

           = - 21

B.) f(-3) = -1/3(-3) + 13

           = 1 + 13

           = 14

Have a nice day good night

WILL GIVE BRAINLIEST, COMMENT, LIKE, AND 7 POINTS TO BEST ANSWER
If you and a friend walked the same difference at different time, how can you tell who walked faster?

Answers

You would divide the distance by the amount of time it took for each friend. Whatever answer is lower, they walked faster. Please mark brainliest (:

Answer:

By the amount of time it took you guys to get there

Step-by-step explanation:

For example, if I start walking at 8:55 and arrive by 9:10, then it took me about 15 minutes to get there.

If you start walking at 9:10 and arrive by 9:20, it took you 10 minutes to get there meaning you walked faster.

Hope I helped.

helpgchjsghjcvbxnvbsvjdgasghgbhdvbahgvgbd

Answers

Answer:

yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeet

Step-by-step explanation:

Factor the expression completely.
40x + 32

Answers

Answer:

8(5x+4)

Step-by-step explanation:

divide by the GCF 8

Answer:

8(5x + 4)

I hope this helps!

Which equation represents the graphed function?


A. -3x+2=y
B. -2/3x+2=y
C. 3/2x-3=y
D. 2x-3=y


Plz help me I am taking the unit test on edge

Answers

Answer:

try c, i took the test as well its either that or b

Step-by-step explanation:

Answer:

I'm pretty sure the answer is D

Hallie has 10 times as many pages to read for her homework assignments as Janet. Altogether, they have to read 264 pages. How many pages does each girl have to read?

Answers

Answer: 24 pages

Step-by-step explanation:

10 times 24 equals 240

Answer:

Janet has to read 24 pages.

Hallie has to read 240 pages.

Step-by-step explanation:

If Janet has to read n pages, then Hallie has to read 10×n.

Together they have to read 11 × n = 264 pages, so: n=264÷11=24.

Hope this helps

PLEASE HELP ASAP DUE SOON

Answers

the answer is

C. neither

Plz Help Ill give brainliest
What is the midpoint of the line segment with the given endpoints?

(−7, 3) and (13, −9)

Answers

Answer:

3, -3

Step-by-step explanation:

12. A worker can pack 72 boxes of oranges in 2 hours. At this rate, how many boxes of oranges can she pack
in 8 hours?

Answers

72/2
36
36*8
Answer
288
228 because 72x4 or 36x8

Fun fact : bannanas are curved because they are growed toward the sun

Answers

Answer:

That is Cool

Step-by-step explanation:

Because it just is.

R(5. -4) reflect it across the y-axis.

Answers

Answer:

(-5,-4)

Step-by-step explanation:

reflection over y-axis makes (x,y) become (-x,y)

A math class is having a discussion on how to determine if the expressions 4x-x+ 5 and 8-3x-3 are equivalent using
substitution.

The class has suggested four different methods.

Which describes the correct method?

O Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the
two expressions must be equivalent.

OBoth expressions should be evaluated with one value. If the final values of the expressions are the same, then the
two expressions must be equivalent.

O Both expressions should be evaluated with two different values. If for each substituted value, the final values of the
expressions are positive, then the two expressions must be equivalent.

O Both expressions should be evaluated with two different values. If for each substituted value, the final values of the
expressions are the same, then the two expressions must be equivalent.

Answers

Answer:

the correct answer is the second one

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When you are trying to find if they are equivalent, you only want to use one value. If they are both positive, it doesn't mean that they are quivalent. They would have to be the same.

3 consecutive even integers that add up to 36

Answers

Answer:

10, 12, 14

Step-by-step explanation:

Answer:

10,12 and 14

Step-by-step explanation:

Hope that helps <3

what is the domain of the function represented by the graph?

Answers

Answer: x is equal to or bigger than -3

Step-by-step explanation:

1. Half of a number is at most 5 units from 14.​

Answers

Answer:

18≤n≤38

Step-by-step explanation:

I need to match each equation with the right answers and I need to show my work for each one

Answers

Don’t mind my hand writing

Solve.
3(x-4) = -3
How do i slove this

Answers

Answer:

[tex]3(x - 4) = - 3 \\ 3x + 12 = - 3 \\ 3x = - 15 \\ x = - 5[/tex]

Firstly, multiply the number and variable in the perenthesis. Then move the variable on it's own side of the equation. The simplify.

Answer:

You need to do the Distributive Property. This means multiplying the number outside the parenthesis to each number inside.

Step-by-step explanation:

3(x)=3x

3(-4)=-12

3x+-12=-3

then evaluate using inverse operations to get x=3

The perimeter of a rectangle is 22cm. The area is 28cm squared, what are the length of the sides?

Answers

I just need to fill 20 characters, the answer is right there on the sheet

What is the slope of the graph of 3x - 3y = 6?

Answers

Answer:

pls help

Step-by-step explanation:

Find ABC, Please help!

Answers

Answer:

50°

Step-by-step explanation:

Angle A = AngleB (Corresponding angles)

x=2x-50

x=50°

Hope it helps

Answer:

∠ ABC = 50°

Step-by-step explanation:

2x - 50 and x are corresponding angles and congruent, thus

2x - 50 = x ( subtract x from both sides )

x - 50 = 0 ( add 50 to both sides )

x = 50

Thus

∠ ABC = x = 50°

Convert 1/12 ft. To inches.

Answers

Answer:

1 inch

Step-by-step explanation:

There are 12 inches in 1 foot so 1/12 is 1 inch

1 foot = 12 inches

1/12 feet = 1 inch

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What role in Roman society was shared by plebeians and patricians?Both could serve as soldiers.Both could have enslaved workers.Both could be educated in the law.Both could hold jobs in government. The line has the same slope as 7x-y=6 and the same y-intercept as the graph of 4y-15x=16 whats your name if it is bob dan or joe give me a respoonse From the description of Monsieur Maillard you can infer that the author no fake answers please easy question You are solving systems of equations by graphing and you get the following graph shown below? What is the solution to this system? How do we know what the solution of a system is when graphing?(4 sentences at least_ Perform the indicated operation 1/3 time 6/7 For the first two weeks of July, Main Street will be closed betweenEvans and Mill for lane expansion. During construction, drivers will bedirected to use alternate routes. Parking for businesses along MainStreet will be available in the town hall parking lot. Please be advisedthat fines for speeding are doubled in work zones.Based on the details in the passage, which inference is most likely true?A. Drivers will have to go around the construction zone.B. Lane expansion will improve the flow of traffic.C. When Main Street is finished, work will begin on Evans,D. Fines for speeding will go toward construction costs. please help :(( (will mark brainliest!!!!) When you cook food in a hot pan , which statement is correct? Energy from the food is transferred to the pan or energy from the food is transferred to the food. D) 685Titik koordinat yang manakah berada pada garis lurus Y=X +99A) (2,13)B) (4,11)C) (3,12)D) (5,10) 6. The store paid $2.50 for a book and sold it for $5.25. What is the profit as a percent? The best type of tooth brush to choose should be hard and certified by the American Dental Association True or False How does the description of Madame Carambeau house in paragraph 1-2 contribute to the meaning of the passage this table displays the amount of water in the bathtub as it is being drained a two-column table with four rows column one is labeled time minutes with entry 7 8 9 10 CO2 is labeled water gallons with entries 38.5 36.2 534-3175 use the table to interpret the rate of change what is the rate of change for the relationship 24 states stayed with the Union and 9 states secededTrue orFalse What does Roland do to all the other kids in the holding tank? Why? How quickly must non-frozen ready to eat foods be consumed One of the angles formed by two intersecting lines measures 30. What are the measures of the other three angles? i need help ASAP Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works. -7(n+2)=-14-7n how many solution does it have