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Andreas93 [3]
3 years ago
13

Melanie had 255 dollars to spend on 8 books. After buying them she had 15 dollars. How much did each book cost?

Mathematics
2 answers:
Citrus2011 [14]3 years ago
8 0
Okay, so the answer should be $30 for each book. I have a picture to show you. :D 

Margaret [11]3 years ago
7 0
1. She starts with $255.

2. She purchases 8 books for an unknown cost per book, so she spends 8 * (unknown cost per book).

3. She is left with $15. 

Let's set up an equation:

c= \text{ cost per book}

255-8c=15

Now, we solve. First, we'll subtract 255 from each side:

-8c=-240

Now, we'll divide through by -8:

c=30

The cost per book is $30. Let's check it out:

$30/book * 8 books = $240

She started with $255 and spent $240, which leaves her with $15. Exactly what the original question indicated. We're done. (Those are some expensive books.)
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Analyze the diagram below and complete the instructions that follow?
yan [13]

Answer:

The exact value of tan(M) is 5/12 ⇒ answer (C)

Step-by-step explanation:

* Lets revise the trigonometry functions

- In ΔABC

# m∠B = 90°

# Length of AB = a , length of BC = b and length of AC = c

# The trigonometry functions of angle C are

- sin(C) = a/c ⇒ opposite side to ∠C ÷ the hypotenuse

- cos(C) = b/c ⇒ adjacent side to ∠C ÷ the hypotenuse

- tan(c) = a/b ⇒ opposite side to ∠C ÷ adjacent side to ∠C

* Now lets solve the problem

- In ΔONM

∵ m∠N = 90°

∵ MN = 12

∵ ON = 5

∵ tan(M) = ON/NM ⇒ opposite side of ∠(M) ÷ adjacent side of ∠(M)

∴ tan(M) = 5/12

* The exact value of tan(M) is 5/12

6 0
3 years ago
44. Express each of these system specifications using predicates, quantifiers, and logical connectives. a) Every user has access
DENIUS [597]

Answer:

a. ∀x (User(x) → (∃y (Mailbox(y) ∧ Access(x, y))))

b. FileSystemLocked → ∀x Access(x, SystemMailbox)

c. ∀x ∀y ((Firewall(x) ∧ Diagnostic(x)) → (ProxyServer(y) → Diagnostic(y))

d. ∀x (ThroughputNormal ∧(ProxyServer(x)∧ ¬Diagnostic(x))) → (∃y Router(y)∧Functioning(y))

Step-by-step explanation:

a)  

Let the domain be users and mailboxes. Let User(x) be “x is a user”, let Mailbox(y) be “y is a mailbox”, and let Access(x, y) be “x has access to y”.  

∀x (User(x) → (∃y (Mailbox(y) ∧ Access(x, y))))  

(b)

Let the domain be people in the group. Let Access(x, y) be “x has access to y”. Let FileSystemLocked be the proposition “the file system is locked.” Let System Mailbox be the constant that is the system mailbox.  

FileSystemLocked → ∀x Access(x, SystemMailbox)  

(c)  

Let the domain be all applications. Let Firewall(x) be “x is the firewall”, and let ProxyServer(x) be “x is the proxy server.” Let Diagnostic(x) be “x is in a diagnostic state”.  

∀x ∀y ((Firewall(x) ∧ Diagnostic(x)) → (ProxyServer(y) → Diagnostic(y))  

(d)

Let the domain be all applications and routers. Let Router(x) be “x is a router”, and let ProxyServer(x) be “x is the proxy server.” Let Diagnostic(x) be “x is in a diagnostic state”. Let ThroughputNormal be “the throughput is between 100kbps and 500 kbps”. Let Functioning(y) be “y is functioning normally”.  

∀x (ThroughputNormal ∧(ProxyServer(x)∧ ¬Diagnostic(x))) → (∃y Router(y)∧Functioning(y))

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3 years ago
Which symmetries does a right square pyramid have? Check all that apply.
Digiron [165]

Answer:a.c,d

Step-by-step explanation:

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Its b, no matter what, he has to pay 18 dollars which effects the y intercept
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Read 2 more answers
Transform the following formulas as indicated.
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Is there a problem equation?
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