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erastovalidia [21]
3 years ago
6

Caleb earns points on his credit card that he uses toward future puchases. He earns four points per dollar spent on flights, two

points per dollar spent at hotels,and one point per dollar spent on all other purchases. Last year, he charged a total of $9,480 and earned 14,660 points. The amount of money spent on flights was $140 more than twice the amount of money spent on hotels. Find the amount of money spent on each type of purchase.
Mathematics
1 answer:
Levart [38]3 years ago
6 0

Answer:

Let f = dollars spent on flights, h dollars spent on hotels, and p dollars spent on all other purchases.

Step-by-step explanation:

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Given a triangle MTN, prove that
cupoosta [38]

Answer:

<em></em>\angle m + \angle t + \angle n = 180<em></em>

<em></em>

Step-by-step explanation:

Required

Show that:

\angle m + \angle t + \angle n = 180^o

To make the proof easier, I've added a screenshot of the triangle.

We make use of alternate angles to complete the proof.

In the attached triangle, the two angles beside \angle m are alternate to \angle t and \angle n

i.e.

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\angle 2 = \angle n

Using angle on a straight line theorem, we have:

\angle 1 + \angle m + \angle 2 = 180

Substitute values for (1) and (2)

\angle t + \angle m + \angle n = 180

Rewrite as:

<em></em>\angle m + \angle t + \angle n = 180<em> -- proved</em>

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Kryger [21]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Simplify the expression. Rewrite using only positive exponents.
ivanzaharov [21]

The simplification form of the provided expression is x¹⁸a³b³ option

(d) x¹⁸a³b³ is correct.

<h3>What is an integer exponent?</h3>

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The expression:

= \rm (\dfrac{x^4a^2b^3}{x^{-2}ab^2})^3

After using the integer exponent property:

\rm =\dfrac{x^{12}a^6b^9x^6}{a^3b^6}

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=x¹⁸a³b³

Thus, the simplification form of the provided expression is x¹⁸a³b³ option

(d) x¹⁸a³b³ is correct.

Learn more about the integer exponent here:

brainly.com/question/4533599

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2 years ago
Please help me thank you
QveST [7]
<<<<<<>>>>>>
F(5)=-15
F(-2)=13
F(3)=-7
F(0)=5
F(-5)=25

3 0
2 years ago
Darrell drove 187 miles in 3 hours. what was Darrell's average rate of speed
MArishka [77]
187/3 = 62.33/1

He drove an average of 62.33 mph
5 0
3 years ago
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