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Irina18 [472]
2 years ago
5

One particular hotel in the downtown area costs \$90$90dollar sign, 90 a night. An additional 10\, percent tax is added to the o

riginal cost of the hotel room. There is also a one-time \$12$12dollar sign, 12 parking charge, and a family can expect to spend \$30$30dollar sign, 30 on tips during their stay. How many nights can a family spend at the hotel without exceeding their budget of \$600$600dollar sign, 600
Mathematics
2 answers:
WITCHER [35]2 years ago
7 0

Answer:

5

Step-by-step explanation:

labwork [276]2 years ago
3 0

Answer:

5

Step-by-step explanation:

total cost of hotel stay = cost per night + tax + parking charge + tips

tax = 10% x 90

= 0.1 x 90 = 9

let x = number of stays

90x + 9x + 12 + 30 ≤ 600

combine like terms

99x ≤  558

x ≤ 5.6

if they stay 5 nights, they would spend 537

if they stay 6 nights, they would spend 636

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Answer: b

Step-by-step explanation: I did this on a test before

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2 years ago
In triangle abc shown below side ab is 6 and side ac is 4
kaheart [24]

Question is Incomplete, Complete question is given below:

In Triangle ABC shown below, side AB is 6 and side AC is 4.

Which statement is needed to prove that segment DE is parallel to segment BC and half its length?

Answer

Segment AD is 3 and segment AE is 2.

Segment AD is 3 and segment AE is 4.

Segment AD is 12 and segment AE is 4.

Segment AD is 12 and segment AE is 8.

Answer:

Segment AD is 3 and segment AE is 2.

Step-by-step explanation:

Given:

side AB = 6

side AC = 4

Now we need to prove  that segment DE is parallel to segment BC and half its length.

Solution:

Now AD + DB = AB also AE + EC = AC

DB = AB - AD also EC = AC - AE

Now we take first option Segment AD is 3 and segment AE is 2.

Substituting we get;

DB = 6-3 = 3 also EC = 4-2 =2

From above we can say that;

AD = DB and EC = AE

So we can say that segment DE bisects Segment AB and AC equally.

Hence From Midpoint theorem which states that;

"The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side."

Hence Proved.

7 0
3 years ago
the equation 7x - 3y = 42 relates to x and y. find three pairs of points (x,y) that make the equation true.
Sloan [31]
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3 0
3 years ago
Let p, q, and r represent the following statements"
Nitella [24]

In logic, own symbols are used in order to be able to represent the relations between propositions in a general and independent way to the proposition, in order to be able to find the relationship process that operates in the communicated message, the propositional logic.

For this purpose there are, among others, the following logical operators: conjunction (and) ∧, disjunction (or) ∨, denial (not) ¬,  conditional (if - then) ⇒ and double conditional (if and only if, iff) ⇔.

So for this case we have:

Answer

a) Sam had pizza last night if and only if Chris finished her homework.

p⇔q

b) Pat watched the news this morning iff Sam did not have pizza last night.

r⇔¬p

c) Pat watched the news this morning if and only if Chris finished her homework and Sam did not have pizza last night.

r⇔(q∧¬p)

d) In order for Pat to watch the news this morning, it is necessary and sufficient that Sam had pizza last night and Chris finished her homework.

r⇔(p∧q)

e) <em>q ⇔ r</em>

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f) <em>p ⇔ (q ∧ r)</em>

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g) <em>(¬p) ⇔ (q ∨ r) </em>

Sam didn't have pizza last night if and only if Chris finished his homework or Pat watched the news this morning

h) <em>r ⇔ (p ∨ q) </em>

Pat watched the news this morning if Sam had pizza last night or Chris finished his homework

4 0
3 years ago
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