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kotegsom [21]
3 years ago
10

Darius is studying the relationship between mathematics and art. He asks friends to each draw a "typical” rectangle. He measures

the length and width in centimeters of each rectangle and plots the points on a graph, where x represents the width and y represents the length. The points representing the rectangles are (6.1, 12.0), (5.0, 8.1), (9.1, 15.2), (6.5, 10.2), (7.4, 11.3), and (10.9, 17.5). Which equation could Darius use to determine the length, in centimeters, of a "typical” rectangle for a given width in centimeters?
y = 0.605x + 0.004
y = 0.959x + 0.041
y = 1.518x + 0.995
y = 1.967x + 0.984
Mathematics
1 answer:
Fynjy0 [20]3 years ago
6 0

Answer:

its the 4th one

Step-by-step explanation:

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Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hou
Rus_ich [418]
Rita's pay plus the overtime hrs, plus Tina's pay equals the total weekly wages(w)
[(11r) + 32] + 11t = w
That's one of the ways
Also, Rita's pay plus Tina's pay = weekly wages plus Rita's overtime hours pay
11r + 11t = w +32

Technically you just have to put the variables in the right places for it to make sense for the word problem
You can do the last example Good Luck!

Hope this helps :)

3 0
3 years ago
Read 2 more answers
3x + 2y = 1 5x – 2y = 39
Alekssandra [29.7K]
3x + 2y = 39
-3x -3x

2y = 39-3x
— ———
2 2

y= 19.5 - 3x/2
plug (19.5 - 3x/2) for y

1.5x - 2(19.5 - 3x/2)= 39
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7 0
3 years ago
At the beginning of the season,jamie pays full price for a ticket to see the panthers,her favorite baseball team.
White raven [17]

<u>Corrected Question</u>

At the beginning of the season, Jamie pays full price($49.64) for a ticket to see the panthers, her favorite baseball team. Ticket prices decrease $0.41 for every game the panthers lose this season. the panthers currently have 33 wins and 31 losses.

(a)Represent the total change in the cost of a ticket given their losses.

(b) What is the cost of a ticket for the next game they play?

Answer:

(a)$(49.64-0.41x)

(b)$36.93

Step-by-step explanation:

(a)Cost of a Full Ticket =$49.64

Let x be the number of losses

The ticket price reduces by $0.41 for every loss

Therefore:

Ticket Price after x losses =$(49.64-0.41x)

Therefore, total change in the cost of a ticket given their losses=$(49.64-0.41x)

(b)For this season the Panthers has suffered 31 losses.

Number of Losses, x=31

Therefore, cost of a ticket for the next game they play

= $(49.64-0.41*31)

=49.64-12.71

=$36.93

8 0
3 years ago
Help Plzzzz.........​
svp [43]

Answer:

A (i) impossible, because the card D doesn't exist.

(ii) evens, because the number of vowel cards and consonant cards is equal  

B (i)  62 - 24 - 13 - 16 = 9

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(iii) (13+16) / 62 * 100% = 46.77%

5 0
3 years ago
Halley’s comet has an elliptical orbit with the sun at one focus. The eccentricity of the orbit is approximately 0.97. The lengt
kherson [118]

so the sun is one of the foci, and we have an eccentricity of 0.97. So the ellipse will look more or less like the picture below.


\bf \textit{ellipse, horizontal major axis}\\\\\cfrac{(x- h)^2}{ a^2}+\cfrac{(y- k)^2}{ b^2}=1\qquad \begin{cases}center\ ( h, k)\\vertices\ ( h\pm a,  k)\\c=\textit{distance from}\\\qquad \textit{center to foci}\\\qquad \sqrt{ a ^2- b ^2}\\eccentricity\quad e=\cfrac{c}{a}\end{cases}\\\\-------------------------------\\\\\begin{cases}h=0\\k=0\\a=35.88\\e=0.97\end{cases}\implies \cfrac{(x-0)^2}{35.88^2}+\cfrac{(y-0)^2}{b^2}=1\\\\-------------------------------


\bf e=\cfrac{c}{a}\implies 0.97=\cfrac{c}{35.88}\implies \boxed{34.8036=c} \\\\\\ c=\sqrt{a^2-b^2}\implies b=\sqrt{a^2-c^2}\implies b=\sqrt{35.88^2-34.8036^2} \\\\\\ \boxed{b\approx 8.72}\\\\ -------------------------------\\\\ \cfrac{(x-0)^2}{35.88^2}+\cfrac{(y-0)^2}{8.72^2}=1\implies \cfrac{x^2}{1287.3744}+\cfrac{y^2}{76.0384}=1

5 0
4 years ago
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