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sveta [45]
2 years ago
6

The number of quarters required to play an arcade game varies directly with the number of levels played. The game requires 9 qua

rters to play 3 levels.
How many quarters are required to play 15 levels?
Mathematics
1 answer:
dexar [7]2 years ago
5 0

Answer:

45 quarters

Step-by-step explanation:

1. Think of this as the ration equation 9/3=x/15 where x is the number of quarters to play 15 levels

2. To solve the ratio, you need to cross multiply, and then divide

3. Multiply 9 times 15 (135)

4. Divide that number by 3 (45), and that's your answer!

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75/25 = 3
3x25 = 75
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Jonas and Norma's restaurant bill comes to $23.40. They are planning to tip the waiter 15% of there bill. How much money should
Brums [2.3K]
They should leave $3.51 for a tip.  So half of $23.40 is $11.70, half of $11.70 is $5.85, and then a fifth of $5.85 is $1.17, then multiply $1.17 by 3.
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3 years ago
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Vector a = 3i + mj, vector b = 2i - nj and vector c = ni + 8j. If a and b is perpendicular to each other and b and c are paralle
Tatiana [17]

May be you know it or not a two dimensional vector can be represented by a complex number.Why i have written this statement you will just know when you will see its solution

a = 3i + mj and  b = 2i - nj are perpendicular to each other ,so their dot product

will be zero.

i.e a.b = 0\\(3i + mj) .(2i - nj)=0\\6-mn=0\\mn=6j

vector b = 2i - nj and vector c = ni + 8j are parallel to each other.2i - nj = k (ni + 8j)2/n = -n/8n^{2} =-16n=4ij

mn = 6

so m=6/4i

m=3/2i

m=3i^{4}/2i

m = 3i^{3}/2

m= -3i/2 as(i^{4} =1, i^{3} = -i[/tex][/tex]

8 0
3 years ago
A penguin starts on a slide 3 feet above the water. He slides down and glides underwater. The function y=x^2-4x+3 shows his path
Viefleur [7K]

Answer:

( 2 , -1 )

Step-by-step explanation:

Given:-

A penguin starts on a slide 3 feet above the water. He slides down and glides underwater. The function of penguin height above/below the water is given  by:

                                    y = x^2 - 4x + 3

Find:-

-The extreme value (vertex) of the parabolic path

Solution:-

- The vertex ( turning point - minima or maxima ) can be evaluated by taking the first derivative of the given function and setting it equal to zero.

                                  dy/dx = 2x - 4

                                   0 = 2x-4

- Then solve for the critical value of function "x":

                                   x = 4/2 = 2 ft

- The vertex can be evaluated by substituting the critical value of "x" back into the function and evaluate for y:

                                  y = (2)^2 -4*2 + 3

                                  y = 4 - 8 + 3

                                  y = -1 ft

- The vertex of parabolic path lies at the coordinates ( 2 , -1 ). That is 2ft horizontal and 1 ft under water.

4 0
3 years ago
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