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Rufina [12.5K]
3 years ago
9

Tiffany is planning a vacation. The hotel costs $60 per night and her flight costs $220. Tiffany has $600 dollars to spend on th

e vacation. Given her budget and the trip costs, how many nights can she spend in a hotel? Let n represent the number of nights in the hotel.
Which of the equations below best represents the situation?

Question 2 options:

600n - 220 = 60


22n + 600 = 60


60n + 600 = 220


60n + 220 = 600
Mathematics
1 answer:
Masteriza [31]3 years ago
6 0

Answer:

60n+220=600

Step-by-step explanation:

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State if each triangle is a right triangle: *<br><br>13 in<br>2 in<br>12 in<br>​
olga_2 [115]

Answer:

It would be a obtuse triangle instead

Step-by-step explanation:

By using pythagorean and theorem (a^2 + b^2 = c^2)

So it would be 13^2___2^2 + 12^2

When you square them, you get 169___4 + 144

144 + 4 = 148, which is less than 169

SO it would be 169>148

So no, not a right triangle

7 0
3 years ago
Can you please help me thanks
mash [69]

Answer:

x = 9.6

Step-by-step explanation:

Before we can figure out what x is, we need to figure out what the unlabeled side is. To figure that out, multiply the hypotenuse (12) by the sine of the angle labeled (34)

12 * sin(34)

<em>sin(34) equals 0.559192903470747; I'll round it to 0.6 for convenience.</em>

12 * 0.6

<em>Now simply multiply 12 by 0.6 to get 7.2.</em>

The unlabeled side is approx. 7.2 units long.

Now we know what the unlabeled side is. Now, to find x, find the square root of 12 squared minus 7.2 squared.

x = √12² - 7.2²

<em>12 squared is 144; 7.2 squared is 51.84.</em>

x = √144 - 51.84

<em>Subtract 51.84 from 144 to get 92.16.</em>

x = √92.16

<em>The square root of 92.16 is 9.6 (on the spot!).</em>

x equals 9.6.

6 0
3 years ago
Express the following fraction in simplest form using only positive exponents.
ElenaW [278]

Answer:

32h^7

Step-by-step explanation:

3 0
3 years ago
Water weighs 62.4 pounds per cubic foot. How much does the water in a tank that measures 7 ft × 4 ft × 9 in, weigh?
andriy [413]

Answer:

  • <u>1,310 lb</u>

Explanation:

<u>1) Calculate the volume of the water in the tank.</u>

  • Area of the base of the tank: B = 7 ft × 4 ft = 28 ft²
  • Height of the tank: H = 9 in = 9 in × 1 ft / 12 in = 0.75 ft
  • Volume of the tank: V = area of the base × height = B × H = 28 ft² × 0.75 ft = 21 ft³.

<u>2) Calculate the weight of 21 ft³ of water.</u>

Since this is not a chemistry question but a math question, I will not use the fomula of density but set a proportion with one unknown:

  • 62.4 lb / 1 ft³ = x / 21 ft³

Solve for x:

  • x = 21 ft³ × 64 lb / ft³ = 1,310.4 lb.

So, rounding to the next integer, the water in the tank weighs 1,310 pounds, when it is full.

6 0
3 years ago
Read 2 more answers
20 POINTS!!!!
nevsk [136]

Answer:

Step 1: Remove parentheses by multiplying factors.

= (x * x) + (1 * x) + (2 * x) + (2 * 1)

Step 2: Combine like terms by adding coefficients.

(x * x) = x2

(1 * x) = 1x

(2* x) = 2x

Step 3: Combine the constants.

(2 * 1) = 2

Step 4: Therefore, Simplifying Algebraic Expression is solved as

= x2 + 3x + 2.

3 0
3 years ago
Read 2 more answers
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