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3 years ago

15

Multiple representations: bargain DVD's cost $5 each at mega movie graph the proportional relationship that gives the cost y in

dollars of buying x bargain DVD's

1 answer:

krok68 [10]3 years ago

8 0

Answer:

Step-by-step explanation:

With this being a proportional relationship, the y-intercept MUST be 0.

Thus, the relationship has the form y = C(x) = ($5/movie)x, where x is the number of movies purchased.

To graph this, first plot a dark dot at (0, 0). Then, starting at (0, 0), move your pencil point 1 unit to the right and from this new position 5 units up. Plot a dark dot at (1, 5). Now draw a straight line through (0, 0) to the right through (1, 5).

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A number is doubled and then 1 is added to it. The answer is divided by 5 and then increased by 16. The final result is 18.

ipn [44]

<h2>A.</h2>

So let's break down this sentence (Let n = unknown number):

"A number is doubled and then 1 is added to it"; Remember that double means multiplied by 2. With this sentence, we can determine that "2n + 1" is a part of the equation.
"The answer is divided by 5, and then increased by 16"; The "answer" they refer to is "2n + 1" from the prior sentence. Since this is divided by 5 and <em>then</em> added by 16, we can determine that $\frac{2n+1}{5}+16$ is a part of our equation.
"The final result is 18"; This means that the prior part of the equation is equal (=) to 18. <u>With this info, our full equation is $\frac{2n+1}{5}+16=18$ </u>

<h2>B.</h2>

Now, let's solve our prior equation found in A. To solve for the unknown number, n, we need to isolate the variable onto 1 side of the equation. Firstly subtract both sides by 16 to cancel out the + 16 on the left side:

$\frac{2n+1}{5}=2$

Next, multiply both sides by 5 to cancel out the division on the left side:

$2n+1=10$

Next, subtract both sides by 1 to cancel out the + 1:

$2n=9$

Lastly, divide both sides by 2 to cancel out the multiplication:

$n=\frac{9}{2}\ \textsf{OR}\ 4.5$

<u>In short, the number is 9/2 or 4.5.</u>

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3 years ago

The size of a bicycle is determined by the diameter of the wheel. You want a 22-in bicycle for your birthday. What is the area o

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The area of the bike wheel is thus A = pi * (11 inches)^2 = 121*pi sq in

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3 years ago

What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?

Pavel [41]

see the attached figure to better understand the problem

Let

x------> the length side of a rectangle

y-------> the width side of a rectangle

we know that

the perimeter of a rectangle is equal to the formula

$P=2x+2y$

In this problem

$AB=DC=x\\AD=BC=y$

Step 1

<u>Find the distance AB</u>

$A(-6,4)\\B(4,2)$

we know that

the distance's formula between two points is equal to

$d=\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

substitute the values

$dAB=\sqrt{(2-4)^{2} +(4+6)^{2}}$

$dAB=\sqrt{(-2)^{2} +(10)^{2}}$

$dAB=\sqrt{104}\ units=10.2\ units$

Step 2

<u>Find the distance BC</u>

$B(4,2)\\C(3,-3)$

we know that

the distance's formula between two points is equal to

$d=\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

substitute the values

$dBC=\sqrt{(-3-2)^{2} +(3-4)^{2}}$

$dBC=\sqrt{(-5)^{2} +(-1)^{2}}$

$dBC=\sqrt{26}\ units=5.1\ units$

Step 3

<u>Find the perimeter</u>

we know that

the perimeter of a rectangle is equal to the formula

$P=2x+2y$

$P=2AB+2BC$

substitute the values of the distance in the formula

$P=2*10.2+2*5.1=30.6\ units$

therefore

<u>the answer is</u>

The perimeter of the rectangle is equal to $30.6\ units$

3 0

3 years ago

Read 2 more answers