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3 years ago

Fifteen tickets cost $193.75. What is the average cost of each ticket?

Mathematics

2 answers:

julsineya [31]3 years ago

8 0

Answer:

about $12.92

Step-by-step explanation:

could be wrong though

Igoryamba3 years ago

8 0

Answer:

$12.92

Step-by-step explanation

If 15tickets costs $193.75, this can be expressed using an equality sign as;

15tickets = $193.75

To find the average cost of each ticket, we can expressed that as;

1ticket = $x where x is the unknown value of 1 ticket.

Cross multiplying both expression:

15tickets = $193.75

1ticket = x

x × 15 = 1×193.75

x = $193.75/15

x = $12.92

This means that each ticket approximately costs $12.92

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Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x &am

Leni [432]

The question is incomplete. Here is the complete question.

Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = - $\frac{3}{4}$ x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.

Answer: L = 1; W = 9/4; A = 2.25;

Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:

A = x.y

A = x(- $\frac{3}{4}.x + 3$ )

A = - $\frac{3}{4}.x^{2} + 3x$

To maximize, we have to differentiate the equation:

$\frac{dA}{dx}$ = $\frac{d}{dx}$ (- $\frac{3}{4}.x^{2} + 3x$ )

$\frac{dA}{dx}$ = -3x + 3

The critical point is:

$\frac{dA}{dx}$ = 0

-3x + 3 = 0

x = 1

Substituing:

y = - $\frac{3}{4}$ x + 3

y = - $\frac{3}{4}$ .1 + 3

y = 9/4

So, the measurements are x = L = 1 and y = W = 9/4

The maximum area is:

A = 1 . 9/4

A = 9/4

A = 2.25

6 0

3 years ago

List of subsets of each set {1,3,5,7}

agasfer [191]

ANSWER

{},{1},{3},{5},{7},{1,3},{1,5},{1,7},{3,5},{3,7},{5,7},{1,3,5},{1,3,7},{3,5,7},{1,5,7},{1,3,5,7}

EXPLANATION

The given set is {1,3,5,7}.

This set has

${2}^{n} = {2}^{4} = 16$

subsets.

Where n=4 is the number of elements in the set.

Recall that the null set is a subset of every set and every set is a subset of itself.

The subsets are:

{}

{1},{3},{5},{7}

{1,3},{1,5},{1,7},{3,5},{3,7},{5,7}

{1,3,5},{1,3,7},{3,5,7},{1,5,7}

{1,3,5,7}

7 0

3 years ago

a vet weighs two puppies the small puppy weighs 4 1/2 pounds the large puppy weighs 4 2/3 times as much as the small puppy how m

Llana [10]

The large puppy weighs 20.97 Pounds. This is because 2/3 of a hundred is 66. You would do 4.5 Times 4.66. This equals 20.97. It can be rounded to 21. Hope this helps!

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4 years ago

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Which of the following graphs shows the<br> solution set to 2x < 6 and 3x + 2 ><br> -4?

Ilya [14]

Answer:

The third picture

Step-by-step explanation:

Solve for x in both equations

2x<6

Divide both sides by 2:

x<3

3x+2>-4

Subtract 2 from both sides:

3x>-6

Divide both sides by 3:

x>-2

There is this trick you can use when x is on the left side of the equation to find out which way to shade in you graph. Keep in mind this is only for the left side, it will not work if your variable is on the right.

When the symbol is facing left < then shade left, imagine it is pointing which way to shade. x<3 is represented by the 3 picture on the left. When the symbol is facing right > then shade right, again it is pointing which way to shade. x>-2 is represented by the 3 picture on the right.

The circles are not filled in because the symbol is < and > rather than $\leq and \geq$ . When it is greater than or equal to or less than and equal to (represented by the line under the symbol), then the circle is shaded in.

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2 years ago

A car can drive 30 miles in 25 minutes. How many miles could it drive in 75 minutes?

Elena L [17]

90 miles

75/25= 3
so 3*30 = 90

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3 years ago

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