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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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?​

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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.  

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Answer:

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Answer:

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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

Why do we convert from a mixed number to an improper fraction by multiplying the denominator of the fraction by the whole number and then adding the numerator?

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 :

Step 1 : Multiply the whole number by the denominator

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

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Step 2 :

Add the answer from Step 1 to the numerator

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Step 3 :

Write answer from Step 2 over the denominator

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

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

y = 75

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Step-by-step explanation:

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

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answers

Given:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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

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

subtract 4x from both sides

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

Divide both sides y -1

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[tex]x=10[/tex]

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[tex]x = 10[/tex]

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Answer:

The answer is 165, hope this helps.

Step-by-step explanation:

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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)

⟹ Volume = 4/3 × π(1.5³ + 2³ + r³)

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A/q

First volume = Second volume

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Step-by-step explanation:

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Answer:

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