A bakery sells bagels at two different rates. When a customer buys fewer than 12 bagels, each one costs $1.25. When a customer buys 12 or more bagels, the first 12 bagels cost $1 each and each additional bagel costs $0.75.

Which TWO inequalities and constraints below represent the price for b bagels??

Question 1 options:

1.25b when b 12


1b when b < 12, then 0.75b


1b when b ≤ 12, then 0.75b


0.75b for b < 12, then 1b


0.75b for b ≤ 12, then 0.75b

Answers

Answer 1

Answer:

1.25b when b < 12 , 1b & then 0.75 b when b > 12

Step-by-step explanation:

Price for b bagels = Price x Quantity

* Less than 12 bagels bought, cost $1.25 per bagel

So, price for b bagels, when (b < 12) = 1.25b

* 12 or more than 12 bagels bought, cost $1 upto first 12 bagels & 0.75b on each additional bagel

So, price for b bagels, when (b = 12) = b

So, price for b bagels, when (b > 12) = b + 0.75b' , where b' denotes extra b beyond 12

Answer 2

The inequality used to represent this constraints is:

Price = 1.25b  when b < 12

Price = 0.75b + 3 when b ≥ 12

Inequalities is an expression used to show the non equal comparison of numbers and variables.

Let b represent the number of bagels bought.

When a customer buys fewer than 12 bagels, each one costs $1.25. Hence:

Price = 1.25b  when b < 12

When a customer buys 12 or more bagels, the first 12 bagels cost $1 each and each additional bagel costs $0.75. Hence:

Price = 12 + (b - 12)0.75 = 0.75b + 3 when b ≥ 12

The inequality used to represent this constraints is:

Price = 1.25b  when b < 12

Price = 0.75b + 3 when b ≥ 12

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Related Questions

Use the table below to answer this question:
x y
-1 -3
0 -1
2 3

Find the average rate of change for the given function from x = −1 to x = 2.

A.) −2

B.)−1

C.)1

D.) 2

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Given:

The table of values.

To find:

The average rate of change for the given function from x = −1 to x = 2.

Solution:

From the given table it is clear that y=-3 at x=-1 and y=3 at x=2.

Formula for average rate of change is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using the above formula, the average rate of change for the given function from x = −1 to x = 2 is

[tex]m=\dfrac{3-(-3)}{2-(-1)}[/tex]

[tex]m=\dfrac{3+3}{2+1}[/tex]

[tex]m=\dfrac{6}{3}[/tex]

[tex]m=2[/tex]

Therefore, the correct option is D.

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Answer:

Slope: -3/2

Y intercept: 4

Slope intercept form: y=-3/2x+4

Step-by-step explanation:

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Step-by-step explanation:

How many solutions does the equation 3x + 6 = −1 − 3 + 4x have? (5 points)

Two
None
One
Infinitely many

Answers

Answer:

The equation has only one solution which is:

[tex]x = 10[/tex]

Step-by-step explanation:

Given the equation

[tex]3x\:+\:6\:=\:-1\:-\:3\:+\:4x[/tex]

Let us solve the equation to determine the type of the equation

[tex]3x\:+\:6\:=\:-1\:-\:3\:+\:4x[/tex]

subtract the number: -1 - 3 = -4

[tex]3x+6=4x-4[/tex]

subtract 6 from both sides

[tex]3x+6-6=4x-4-6[/tex]

[tex]3x=4x-10[/tex]

subtract 4x from both sides

[tex]3x-4x=4x-10-4x[/tex]

[tex]-x=-10[/tex]

Divide both sides y -1

[tex]\frac{-x}{-1}=\frac{-10}{-1}[/tex]

[tex]x=10[/tex]

Therefore, the equation has only one solution which is:

[tex]x = 10[/tex]

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Step-by-step explanation:

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Answer:

B

Step-by-step explanation:

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Suppose y varies directly with x. When x is 2, y is 20. What is x when y is 50

Answers

Answer:

5

Step-by-step explanation:

x = 2 >>> (Multiply by 10) >>> y = 20

x = ? >>> (Multiply by 10) >>> y = 50

50 ÷ 10 = 5

x = 5 when y is 50

Your budget is $60 for Chipotle each month, which you go out to at least twice week. Each meal is $7. How much money is left in your budget after you have eaten at Chipotle eight times this month. Would you have money left over to get guacamole (at least once during the month) for $1.80.

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Answer:

Step-by-step explanation:

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Answer:

I cannot see the question

Step-by-step explanation:

A police department reported that approximately 5% of the alarm calls they get each day are real emergencies and not false alarms. If they receive 120 alarm calls in one day, about how many of them would be false alarms?​

Answers

Answer:

6

Step-by-step explanation:

5% of 120 is 6.

Well, if 5% of them are real, that means 95% of the calls they get each day are false alarms.  

If we set up our inequality and multiply (Which i'm assuming you know how to do) We would get 114. Therefore, 114 calls would be false alarms.


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Answer:

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Step-by-step explanation:

A trade-in is most closely related to which of the following?
a.
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b.
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c.
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d.
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Answers

Answer:c.

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Step-by-step explanation:

Tess is going to purchase a new car that has a list price of $29,190. She is planning on trading in her good-condition 2006 Dodge Dakota and financing the rest of the cost over four years, paying monthly. Her finance plan has an interest rate of 10.73%, compounded monthly. Tess will also be responsible for 7.14% sales tax, a $1,235 vehicle registration fee, and a $97 documentation fee. If the dealer gives Tess 75% of the listed trade-in price on her car, once the financing is paid off, what percent of the total amount paid will the interest be? (Consider the trade-in to be a reduction in the amount paid.)         ANSWER C

Answer: A. A down payment, because it reduces the amount financed.

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Geometry homework. Please help.

Answers

Answer: Sure

Step-by-step explanation:

Step-by-step explanation:

✬ Radius = 2.5 cm ✬

Step-by-step explanation:

Given:

Radius of spherical ball is 3 cm.

Radii of new spherical balls are 1.5 cm and 2 cm.

To Find:

Radius of third spherical ball ?

Solution : Let the radius of third spherical ball be x cm.

If something is melted and recasted into another thing then their volumes will be equal. In short

Volume of 1st thing = Volume of second one.

➯ Let's see here

Volume of big spherical ball will be equal to the sum of volumes of that three small spherical balls.

As we know that

★ Volume of Sphere = 4/3πr³ ★

[ Taking big spherical ball ]

Radius = 3 cm

⟹ Volume = 4/3 × π × (3)³

⟹ 4π/3 × 27

Volume we got = 4π/3 × 27 cm³

[ Taking 3 small spherical balls ]

Radius of first ball (r¹) = 1.5 cm

For second (R) = 2 cm

For third (x) = x cm

Volume = 4/3 × π( sum cubes of radii)

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⟹ 4π/3 (3.375 + 8 + x³)

⟹ 4π/3 ( 11.375 + x³)

Volume we got = 4π/3 (11.375 + x³) cm³

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First volume = Second volume

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➮ 27 = 11.375 + x³

➮ 27 – 11.375 = x³

➮ 15.625 = x³

➮ 15625/1000 = x³

➮ 3125/200 = 625/40 = 125/8 = x³

➮ ³√125/8 = x³

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no explanation

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Answers

Answer:

y = 75

z = 43.3

Step-by-step explanation:

To find the value of y we use the trigonometric identity Sine.

[tex]sin\ 30 = \frac{y}{150}\\\\y=150*sin30\\y= 75\\[/tex]

Now to find the value of z we can use the trigonometric identity Tangent.

[tex]tan\ 60=\frac{y}{z}\\\\z=\frac{y}{tan\ 60}[/tex]

We know the value of y is 75 so it becomes,

[tex]z=\frac{75}{1.732} \\\\z=43.3[/tex]

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Sin angle = opp/hyp

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Answer:

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|6k + 12| + 9 =9

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Answers

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A mixed number to an improper fraction by multiplying the denominator of the fraction by the whole number and then adding the numerator

What are Mixed Numbers?

A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

To convert a mixed number to an improper fraction , we need to follow these three steps :

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Step 2 : Add the answer from Step 1 to the numerator

Step 3 : Write answer from Step 2 over the denominator

Take for example :

Let the number be x = 5 5/9

Step 1 :

Multiply the whole number by the denominator

9 × 5 = 45

Step 2 :

Add the answer from Step 1 to the numerator

45 + 5 = 50

Step 3 :

Write answer from Step 2 over the denominator

50/9

Therefore , the mixed number 5 5/9 is converted to its improper fraction as 50/9

To learn more about mixed numbers click :

https://brainly.com/question/2639375

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Answers

Answer:

259,459,200 ways.

Step-by-step explanation:

That is the number of permutations of 8 from 15.

= 15! / 15-8!

= 15! / 7!

= 15*14*13*12*11*10*9*8

= 259459200

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What is the slope of a line perpendicular to the line whose equation is 3x+y=-5 Fully reduce your answer.

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Step-by-step explanation:




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Answer:

$300

Step-by-step explanation:

Answer:

$300

Step-by-step explanation:

250 100

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Answers

Answer:

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Step-by-step explanation:

Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.

Let assume the equation is given as;

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x - y = -1 ....2

Using elimination method

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(x-x) + 3y-y = 11-(-1)

0+2y = 11+1

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x = -1 + 6

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Step-by-step explanation:

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Answer:

D because when you divide 2 negative number it will be positive

The answer is D because when you divide two negative numbers they become a positive !! good luck !

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Answer:

The answer is 165, hope this helps.

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Answers

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