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Ahat [919]
3 years ago
5

You and 3 friends are going to Great Mountain Park. The park has 3 water rides. The Coaster, Slide, and Drop cost $5.50, $2.00,

and $6.50, respectively. Your group plans to ride each water ride once. How much change will you get back from a $100 bill?
Mathematics
2 answers:
GarryVolchara [31]3 years ago
5 0
You'd get 52 dollars back assuming each person pays once 5.5+3+6.5=16×3=48 100-48=52
Fantom [35]3 years ago
4 0
The answer is 44.
You're all only riding each ride once, so you just add up the prices which equal 14. Since, you're paying for 4 people, you multiply 4 x 14 which 56. You then subtract 56 from 100 to which you get 44.
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A TV and Washing machine were purchased for Rs 15000 each. If together, they are sold at Rs 35000, What is Profit and Profit%
Citrus2011 [14]

Given:

A TV and Washing machine were purchased for Rs 15000 each.

Together, they are sold at Rs 35000.

To find:

The profit and profit%.

Solution:

A TV and Washing machine were purchased for Rs 15000 each. So, the total cost price is

C.P.=15000+15000

C.P.=30000

Together, they are sold at Rs 35000. So, the selling price S.P. is 35000.

Now,

Profit=S.P.-C.P.

Profit=35000-30000

Profit=5000

And,

Profit\%=\dfrac{Profit}{C.P.}\times 100

Profit\%=\dfrac{5000}{30000}\times 100

Profit\%=\dfrac{50}{3}

Profit\%\approx 16.67

Therefore, the profit is Rs. 5000 and the profit percent is 16.67%.

5 0
3 years ago
Mr. Sánchez owns a square field. The side lengths are 0.9 kilometers. There are 1,980 prairie dog burrows in the fields. What is
Simora [160]
The first thing we are going to do is find the area of the field. To do this we are going to use the area of a square formula: A=s^2
Were 
A is the area in square kilometers 
s is one of the sides of the square
We know for our problem that  the side lengths of the field are 0.9 kilometers, so s=0.9. Lets replace that value in our formula to find A:
A=(0.9)^2
A=0.81 

Now, to find the population density of the filed, we are going to use the population density formula: P_{d}= \frac{I}{A}
where
P_{d} is the population density in <span>in burrows per square kilometer
</span>I is the number of burrows 
A is the are of the field
We know that I=1980 and A=0.81, so lets replace those values in our formula:
P_{d}= \frac{1980}{0.81}
P_{d}=2444.4

We can conclude that the <span>density of prairie dog burrows is approximately 2444 burrws per square kilometer.</span>
5 0
3 years ago
Complete the point-slope equation of the line through (-8,-8)(−8,−8)left parenthesis, minus, 8, comma, minus, 8, right parenthes
Ksivusya [100]

Answer:

<h2>y-9 = 17(x+7)</h2>

Step-by-step explanation:

Given the points (-8, -8) and (-7, 9), the general form of equation of the line passing through this point is expressed as y-y1 = m(x-x1) where;

m = slope or gradient and (x1, y1) is the point

m = Δy/Δx = y₂-y₁/x₂-x₁

m = 9-(-8)/-7-(-8)

m = 17/1

m = 17

The slope of the line is 17.

The point-slope equation of the line through the point (-7, 9) is expressed as

y-9 = 17(x-(-7))

y-9 = 17(x+7)

3 0
4 years ago
Let c be the curve of intersection of the parabolic cylinder x2 = 2y, and the surface 3z = xy. find the exact length of c from t
Mandarinka [93]
Parameterize the intersection by setting x(t)=t, so that

x^2=2y\iff y=\dfrac{x^2}2\implies y(t)=\dfrac{t^2}2
3z=xy\iff z=\dfrac{xy}3\implies z(t)=\dfrac{t^3}6

The length of the path C is then given by the line integral along C,

\displaystyle\int_C\mathrm dS

where \mathrm dS=\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dz}{\mathrm dt}\right)^2}\,\mathrm dt. We have

\dfrac{\mathrm dx}{\mathrm dt}=1
\dfrac{\mathrm dy}{\mathrm dt}=t
\dfrac{\mathrm dz}{\mathrm dt}=\dfrac{t^2}2

and so the line integral is

\displaystyle\int_{t=0}^{t=2}\sqrt{1^2+t^2+\dfrac{t^4}4}\,\mathrm dt

This result is fortuitous, since we can write

1+t^2+\dfrac{t^4}4=\dfrac14(t^4+4t^2+4)=\dfrac{(t^2+2)^2}4=\left(\dfrac{t^2+2}2\right)^2

and so the integral reduces to

\displaystyle\int_{t=0}^{t=2}\frac{t^2+2}2\,\mathrm dt=\dfrac{10}3
3 0
3 years ago
A clown bought six bags of round balloons with twenty four ballons in each bag . The clown also bought three bags of long balloo
Makovka662 [10]

Answer:

144 round balloons and 108 long balloons

Step-by-step explanation:

6 times 24 = 144

3 times 36 = 108

7 0
4 years ago
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