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8_murik_8 [283]
2 years ago
13

Ms Lemon has $150 to spend on the parking and admission to the zoo.The parking will cost $18, and the admission tickets will cos

t $16.50 per person, including tax. Write and solve an equation that can be used to determine the number of people that she can bring to the zoo, including herself.
Mathematics
2 answers:
Reika [66]2 years ago
5 0

Answer:

16.5y + 18 = 150

16.5y + 18 = 150

        <u>-18 </u>    <u>-18</u>

        0       132  

          <u>16.5y</u>     <u>132</u>

          16.5       16.5

y = 8

Ms.Lemon can bring 8 people including herself

Step-by-step explanation:

First you are going to rewrite the equation then do the inverse operation of addition. Then, subtract 150 from 18 then you get 132 then you bring down 16.5y and cancel it out by dividing and then you divide 132 by 16.5 and you get 8 so Ms.Lemon can bring 8 people including her self.

Crank2 years ago
4 0

Answer:

Let y be the no. of people she can bring

18 + 16.5y <= 150

Step-by-step explanation:

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yaroslaw [1]

The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

<h3>What is the rate of speed?</h3>

The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,

r=d/t

Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.

The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let <em>t</em> is the time the train has taken to travel and x is the distance it travelled. Thus,

t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}

After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let <em>t</em> is the time the car has taken to travel and x is the distance it travelled. Thus,

t+2=3+\dfrac{(x-3\times35)}{51}

As t is same, thus put the value of t in this equation,

\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6

Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

Learn more about the rate of speed here:

brainly.com/question/359790

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6 0
2 years ago
Find the exact value of the indicated trigonometric function of θ.
Mariana [72]

Answer:

cosθ = -√(35/36)

tanθ = -1/√35

Step-by-step explanation:

We know that

sin²θ + cos²θ = 1

(1/6)² + cos²θ = 1

1 - (1/6)² = cos²θ

35/36 = cos²θ

sec θ = 1/ cosθ

1/ secθ = cos θ

Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0

cosθ = -√(35/36)

tanθ = sinθ/cosθ = (1/6)/-√(35/36)

= (1/6) / -(√35/6)

= -1/√35

8 0
2 years ago
A truck was carrying a load of 458 pounds of gravel. Another 231 pounds of gravel was loaded onto the truck.
Mila [183]

Answer:

A. Olivia is correct.

Step-by-step explanation:

If the total amount of gravel stated is 689 pounds and you want to check your answer, you can subtract one of the two trucks from the total. Which would be either 689 - 231 or 689 - 458. Therefore, A is the correct answer.

6 0
3 years ago
PLEASE HELP!! Will mark Brainliest!
Advocard [28]

Answer:

What is a polynomial?

  - In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables

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- In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.

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3 0
2 years ago
2 Kendal bought x boxes of cookies to bring to a party. Each box contains 12 cookies. She
torisob [31]

Answer:

Hey there! The answer to your question will be below.

Step-by-step explanation:

The correct answer to your question is 12x - 24=60

So we know that 12x will be the number of cookies.

It says that she kept two boxes for herself, and than she took away 24 boxes which will leave us with 60.

Here is the work:

12 (x-2)= 60

12x-24=60

So the answer should be 12x -24 = 60

Hope this helps!

By:xBrainly

3 0
3 years ago
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