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Musya8 [376]
3 years ago
9

Sandy's 8th grade class receives $13.50 for every 5 boxes of chocolates that they sell. Which graph shows this relationship with

the same unit rate?​

Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0

Answer:

See Explanation

Step-by-step explanation:

<em>Incomplete Question: This question requires options</em>

Let the amount received be represented with y

Let the number of boxes be represented with x

From the question, we have that:

x = 5 ; y = 13.50

Multiply the values of x and y by 2Similarly,

x = 10; y = 27

This gives:

(x_1,y_1) = (5,13.5)

(x_2,y_2) = (10,27)

The slope of the graph is calculated as follows:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{27 - 13.5}{10 - 5}

m = \frac{13.5}{5}

m = 2.7

The equation of the graph is calculated as follows:

y - y_1 = m(x - x_1)

Substitute values for m, x1 and x2

y - 13.5 = 2.7 * (x - 5)

Open Brackets

y - 13.5 = 2.7x - 13.5

Collect Like Terms

y = 2.7x - 13.5 + 13.5

y = 2.7x

The above equation can be used to determine the graph

<em>See Attachment</em>

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4:6 = 2:3

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3 years ago
Write another name for AE ? need asap
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Answer:

EA, or s

Step-by-step explanation:

The line AE could also be named any of the following:

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If you’re only looking at the line segment AE, the only option is:

EA

Since I don’t know whether you need the line or line segment, you might want go with EA since it’s on both lists. It could also be line s.

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The ________ is the number of square units in the interior of a figure.
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The area is the number of square units in the interior of a figure 
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Could someone please assist...it would really help alot...thank you:)
Wittaler [7]

Problem 4.2

We're told that y = 2x is the equation of the tangent line through point Q.

Plug this into the equation of the circle (that was given at the very top of the page). Solve for x.

x^2 + y^2 - 18x - 6y + 45 = 0

x^2 + (2x)^2 - 18x - 6(2x) + 45 = 0 ... every "y" replaced with "2x"

x^2 + 4x^2 - 18x - 12x + 45 = 0

5x^2 - 30x + 45 = 0

5(x^2 - 6x + 9) = 0

5(x-3)^2 = 0

(x-3)^2 = 0

x-3 = 0

x = 3

This then means y = 2x = 2*3 = 6

The coordinates of point Q are (x,y) = (3,6)

----------

<h3>Answer:  (3,6)</h3>

===========================================================

Problem 4.3

We first need to find the location of point S. That will involve solving this system of equations

\begin{cases}x-2y+12=0\\y = 2x\end{cases}

which represent the equations of lines SR and QS in that exact order.

Like before, we'll apply substitution to solve for x.

x-2y+12 = 0

x-2(2x)+12 = 0

x-4x+12 = 0

-3x+12 = 0

12 = 3x

12/3 = x

4 = x

x = 4

Which leads to y = 2x = 2*4 = 8

Point S is located at (4,8)

Point R is given to be located at (6,9)

Apply the distance formula for these two points to find the length of SR (aka the distance from S to R).

S = (x_1,y_1) = (4,8)\\\\R = (x_2,y_2) = (6,9)\\\\d = \text{Length of SR, aka distance from S to R}\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(4-6)^2 + (8-9)^2}\\\\d = \sqrt{(-2)^2 + (-1)^2}\\\\d = \sqrt{4 + 1}\\\\d = \sqrt{5}\\\\d \approx 2.236068\\\\

The exact length is \sqrt{5} and that approximates to roughly 2.236068 units.

----------

<h3>Answer:</h3>

Exact length = \sqrt{5} units

Approximate length = 2.236068 units

8 0
3 years ago
Brenda received $25 for babysitting for 3 hours. If she is paid proportionally, how much should she get for 7.5 hours?​
Brums [2.3K]

Answer:

$187.5

Step-by-step explanation:

25 times 7.5 is 187.7

5 0
3 years ago
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