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Aleksandr-060686 [28]
4 years ago
10

Mary is booking a 4-night stay at a hotel. The rate is $79 per room plus tax. If state tax is 6%, city tax is 2%, and municipal

tax is 1%, what is her total lodging cost?
A.$243.12 B.$344.44 C.$318.00 D.$328.62
Mathematics
1 answer:
ozzi4 years ago
5 0
The answer is B. $344.44
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What is the y value of the solution to the system of equations given? y=5x-3 3x-2y=27
nignag [31]

Answer:

y = -18

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

y = 5x - 3

3x - 2y = 27

<u>Step 2: Rewrite systems</u>

  1. Define:                                        3x - 2y = 27
  2. Add 2y on both sides:               3x = 2y + 27
  3. Divide 3 on both sides:              x = 2/3y + 9

<u>Step 3: Redefine</u>

y = 5x - 3

x = 2/3y + 9

<u>Step 4: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em>:                              y = 5(2/3y + 9) - 3
  2. Distribute 5:                                  y = 10/3y + 45 - 3
  3. Combine like terms:                     y = 10/3y + 42
  4. Subtract 10/3y on both sides:      -7/3y = 42
  5. Divide -7/3 on both sides:            y = -18
8 0
3 years ago
Solve for angle 1, 2, 3. help help will give brainiest
allsm [11]

Answer:

angle 1 is 35° angle 2 is 90° angle 3 is 55°

8 0
4 years ago
A radiator contains 8 quarts of fluid, 40% of which is antifreeze. How much fluid should be drained and replaced with pure antif
VladimirAG [237]

Answer: 1.6 quarts

Step-by-step explanation:

Given : A radiator contains 8 quarts of fluid, 40% of which is antifreeze.

[40% can be written as 0.40.]

Then, the amount of antifreeze in radiator = 0.40\times8=3.2\text{ quarts}                                                                                              (1)

 

If a radiator contains 8 quarts of fluid with 60% of which is antifreeze.

[60% can be written as 0.60.]

Then, the amount of antifreeze in radiator = 0.60\times8=4.8\text{ quarts}                                                                                             (2)

 

Now subtract (1) from (2) we get,

The amount of fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze :-

4.8-3.2=1.6\text{ quarts}

Hence, the 1.6 quarts of fluid should be drained  and replaced with pure antifreeze so that the new mixture is 60% antifreeze

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4 years ago
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Find the measure of the missing angles.
MAXImum [283]
Answer- A- 20, B-70, c-20, d-50, e- 110

I think
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3 years ago
Find the value of each variable. For the circle, the dot represents the center.
ollegr [7]

Answer:

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