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Novay_Z [31]
3 years ago
8

The licene fee for a car which costs $9,200 is $82. at the same rate, what is the licence fee for a car that cost $9,900.

Mathematics
1 answer:
vichka [17]3 years ago
7 0

Step 1: Assign variable for the unknown that we need to find.

Let 'x' be the licence fee for a car that cost $9,900.

Step 2: Set up a proportion based on the given information.

\frac{x}{9900} =\frac{82}{9200}

Step 3: Solve for x

To get x alone we need to undo whatever is done to x. So multiply 9900 on both sides of the equation.

\frac{9900x}{9900} =\frac{9900*82}{9200}

Simplifying fraction on both sides of the equation, we get...

x=88.24

Conclusion:

<u>$88.24 is the licence fee for a car that cost $9,900.</u>

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The least common factor of 8 and 56, 12 and 30, 16 and 24, and 9 and 15
shepuryov [24]

The lcf of 8 and 56 is 2, the lcf of 12 and 30 is 2, the lcf of 16 and 24 is 2, and the lcf of 9 and 15 is 3.

4 0
3 years ago
Hyun Woo is riding a ferris wheel. H t H(t) models his height (in m m) above the ground, t t seconds after the ride starts. Here
worty [1.4K]

Answer:

<u></u>

  • <u>53 seconds.</u>

Explanation:

The text and the model are garbled.

This is the question amended:

<em />

<em>Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.</em>

<em>H(t) = -10 cos(2π/150 t)+10</em>

<em />

<em>When does Hyun Woo first reach a height of 16 m?</em>

<em />

<h2>Solution</h2>

<em />

When <em>Hyun Woo reaches a height of 16 m</em> the <em>model </em>states:

  • <em>16 = -10 cos(2π/150 t)+10</em>

<em />

Then you must find the lowest positive value of t that is a solution of the equation.

Solve the equation:

  • <em>16 = -10 cos(2π/150 t)+10</em>

  • 10cos(2π/150 t) = - 6

  • cos(2π/150t) = -0.6

  • 2π/150t = arccos(-0.6)

  • 2π/150t = 2.214297

  • t = 52.86s ≈ 53 s ← answer
4 0
3 years ago
Need help ASAP!!!!!!!!!!!
8090 [49]

Answer:

Step-by-step explanation:

5/6 + 1/8 + 3/4 = 1 17/24

Option A is the correct answer

8 0
3 years ago
-6x+y=-2<br>x-3y=9 what is the solution set?
Anarel [89]
Mult. the 2nd eqn by 6 and then add this "new" equation to the 1st given eqn:

 -6x + y = -2
  6x -18y = 54
--------------------
        -17y = 52, or y = -52/17.  Subst. this value of y into either equation to find the value of x.
3 0
3 years ago
Please answer the following
natulia [17]

Answer:

cot∅ = (-2√30)/7.

Step-by-step explanation:

Given the value of csc∅ = -13/7 and ∅ is in quad III.

We know y = r sin∅ and r > 0. So csc∅ = r/y = -13/7 = 13/(-7).

It means y = -7, r = 13.

We know x² + y² = r².

x² = r² - y²

x² = (13)² - (-7)² = 169 - 49 = 120.

x = √120 = 2√30.

we know cot∅ = x/y = (2√30)/(-7) = (-2√30)/7.

Hence, cot∅ = (-2√30)/7.

4 0
3 years ago
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